Answers
Answer:
مرتم باشگاه ورزشی خیلی علاقه داشتم خیلی قشنگ بی که خیلی تخفیف فایل که خیلی خوعه بچه آخر بی
Answer:
After four bites, Alice would be 256 inches tall.
An exponential function that models this growth would be f (x) = 64.22 where x is the number of bites she takes.
If Alice doesn't take any bites (zero bites), her height would be 64 inches.
are true statements.
If Alice takes two bites, she will be 256 inches tall. is false and After three bites, Alice would be 192 inches tall is also false.
Related Questions
MAA MATHEMATICAL ASSOCIATION OF AMERICA
webwork/math160/module1wwsp/4
Module 1 WWsp: Problem 4
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(1 point) Below is an "oracle" function. An oracle function is a function presented interactively. When you type in an x value, and press the --> button and the value
f(x) appears in the right hand window. There are three lines, so you can easily calculate three different values of the function at one time.
Find the largest delta so that f(z)-f(1.382)| < 0.0008 when |x-1.382| < 8.
delta
I
Note: Your answer must be within 0.000001 of the correct answer
Answers
The delta is the difference between the values of x and f(z)-f(1.382). To find the largest delta, incrementally increase x by delta until it is less than 0.0008.
What is oracle function?A pre-defined Oracle function is a function that may be used to conduct a specific operation or computation on data contained in an Oracle database. Oracle functions are frequently used to change data from a query result or to conduct computations such calculating the average, sum, or count of a group of numbers.
The delta is the difference between the two x values. To determine the biggest delta such that f(z)-f(1.382)0.0008 when |x-1.382|8, we must first enter x=1.382 into the oracle function and note the result of f. (1.382). Then we must gradually increase x by delta, inserting the new value into the Oracle function and noting the result. Then we may compute f(x)-f(1.382) to determine if it is less than 0.0008. This method may be repeated, increasing the delta each time, until we obtain the greatest delta where f(x)-f(1.382)0.0008. The greatest delta that meets this requirement is the answer.
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In a group of 30 pupils, 13 play the flute only. 1 plays the piano only. 4 play both instruments. A student is chosen at random. What is the probability the student plays neither instrument?
Answers
A student who is chosen at random has a 2/5 chance of playing neither instrument.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, a group of 30 pupils, 13 play the flute only. 1 plays the piano only. 4 play both instruments
From the general formula of probability:
Probability = desired outcome / total outcomes
Total outcomes = 30
In our case desired outcome = is chosen student plays neither instrument
desired outcome = 30 - 13 -1 -4
desired outcome = 12
thus,
Probability = 12/30
probability = 2/5
Therefore, the probability of a randomly selected student playing neither instrument is 2/5.
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A rectangular garden has a walkway around it. The area of the garden is 2(5.5x +3.5). The combined area of the garden and the walkway is 3.5(8x + 6). Find the area of the walkway around the garden as the sum of two terms.
Answers
The area of the walkway around the garden is 17x+14.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the area of the garden is 2(5.5x +3.5). The combined area of the garden and the walkway is 3.5(8x + 6).
Area of a walkway = The combined area of the garden and the walkway - The area of the garden
= 3.5(8x+6)-2(5.5x +3.5)
= 28x+21-11x-7
= 17x+14
Therefore, the area of the walkway around the garden is 17x+14.
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Factor the trinomial by grouping. -
8x²2² +14x+3.
a. Find two numbers whose product is 8.3=24 and whose sum is 14.
b. Write 14x using the factors from part (a).
c. Factor by grouping.
Answers
a. The two numbers whose product is 24 and whose sum is 14 are 6 and 4
b. 14x = 6x + 8x
c. 8x²2² + 6x + 8x + 3
=8x²2² + (6x + 8x) + 3
=8x²2² + 14x + 3
The trinomial 8x²2² + 14x + 3 can be factored by grouping as (8x²2² + 14x) + 3
In a bag of keys, there are 15 silver keys, 6 black keys, 8 copper keys, and 4 painted keys of various cálors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?
A. 7/11
B. 8/33
C. 5/11
D. 23/33
Answers
Answer:
C
Step-by-step explanation:
Answer:
23/33
Step-by-step explanation:
The copper keys and the silver keys in total is 23 and the amount of keys in total is 33.
What does 4 x -1 equal
Answers
Answer -4
Step-by-step explanation:
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)(a) P(0≤Z≤2.54)(b) P(0≤Z≤2)(c) P(−2.40≤Z≤0)(d) P(−2.40≤Z≤2.40)(e) P(Z≤1.36)(f) P(−1.25≤Z)(g) P(−1.40≤Z≤2.00)(h) P(1.36≤Z≤2.50)(i) P(1.40≤Z)(j) P(|Z|≤2.50)
Answers
(a) P(0≤Z≤2.54) represents the area under the standard normal curve between 0 and 2.54 on the x-axis. This can be found by using a standard normal table or calculator to find the area between 0 and 2.54, which is approximately 0.4966.
(b) P(0≤Z≤2) represents the area under the standard normal curve between 0 and 2 on the x-axis. This can be found by using a standard normal table or calculator to find the area between 0 and 2, which is approximately 0.4772.
(c) P(−2.40≤Z≤0) represents the area under the standard normal curve between −2.40 and 0 on the x-axis. This can be found by using a standard normal table or calculator to find the area between −2.40 and 0, which is approximately 0.3821.
(d) P(−2.40≤Z≤2.40) represents the area under the standard normal curve between −2.40 and 2.40 on the x-axis. This can be found by using a standard normal table or calculator to find the area between −2.40 and 2.40, which is approximately 0.7621.
(e) P(Z≤1.36) represents the area under the standard normal curve to the left of 1.36 on the x-axis. This can be found by using a standard normal table or calculator to find the area to the left of 1.36, which is approximately 0.9155.
(f) P(−1.25≤Z) represents the area under the standard normal curve to the right of −1.25 on the x-axis. This can be found by using a standard normal table or calculator to find the area to the right of −1.25, which is approximately 0.1151.
(g) P(−1.40≤Z≤2.00) represents the area under the standard normal curve between −1.40 and 2.00 on the x-axis. This can be found by using a standard normal table or calculator to find the area between −1.40 and 2.00, which is approximately 0.7170.
(h) P(1.36≤Z≤2.50) represents the area under the standard normal curve between 1.36 and 2.50 on the x-axis. This can be found by using a standard normal table or calculator to find the area between 1.36 and 2.50, which is approximately 0.0951.
(i) P(1.40≤Z) represents the area under the standard normal curve to the right of 1.40 on the x-axis. This can be found by using a standard normal table or calculator to find the area to the right of 1.40, which is approximately 0.0821.
(j) P(|Z|≤2.50) represents the area under the standard normal curve between −2.50 and 2.50 on the x-axis. This can be found by using a standard normal table or calculator to find the area between −2.50 and 2.50, which is approximately 0.5199.
In all cases, a standard normal table or calculator is used to find the area under the standard normal curve. The area represents the probability of the given event.
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shawn knows that his student loan interest is calculated at a rate of 0.34% per month what is his apr andapy
Answers
The APR (Annual Percentage Rate) is 4.08% while the APY (Annual Percentage Yield) is 4.16%.
What is the difference between APY and APR?The annual percentage yield (APY) is the normal annual percentage rate (APR) based on a compounding period of one year.
The annual percentage rate (APR) represents the cost of borrowing expressed as a percentage.
Thus, while APY considers compound interest, APR does not.
MPR = 0.34%
APR = 4.08% (0.34 x 12)
The formula for computing the APR is as follows:
APY = (1 + APR/N)^N - 1
Where APR is the normal interest rate, N is the number of compounding period in a year.
= (1 + 0.0408/12)^12 - 1
= (1 + 0.0034)^12 - 1
= (1.0034)^12 = 1
= 1.0416 - 1
= 0.0416
= 4.16%
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In a class there are 42 students. the numbers of girls is 2times the numbers of boys. how many boys and girls are there in the class
Answers
x = No. of girls
y = no. of boys
2y + y = 42
3y = 42
y = 14
no. of girls = 2 × 14 = 28
no of boys = 14
decide whether enough information is given to prove that the triangles are congruent. if so, state the theorem you can use. $\triangle abc,\ \triangle dbc$
Answers
11. The ΔACD is not equal and congruent to ΔBCD.
12. The ΔXYZ is equal and congruent to ΔPQZ.
13. The ΔMNL is not equal and congruent to ΔRSL.
What is congruency?
Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.
It is known that -
If two triangles are congruent, when they meet one of the following criteria -
a) All three pairs of corresponding sides should be equal.
b) Two pairs of corresponding sides and the corresponding angles between them should be equal.
c) Two pairs of corresponding angles and the corresponding sides between them should be equal.
11. In the first diagram, it is given that line segments -
AD = BD
CD = CD (common in both the triangles)
It is given that angles -
∠A ≅ ∠B
This proves that AD ≅ BD and CD = CD.
If ΔACD is congruent with ΔBCD then ∠ADC ≅ ∠BDC.
But not enough information is given about ∠ADC and ∠BDC.
Therefore, ΔACD is not congruent with ΔBCD.
12. In the second diagram, it is given that -
Z is the midpoint of line segment XQ and YP.
This means that line segments -
XZ = ZQ
YZ = ZP
It is also given that ∠XZY = ∠PZQ as they form a pair of vertically opposite angles which are equal.
So, the criteria two pairs of corresponding sides and the corresponding angles between them should be equal is fulfilled.
Therefore, ΔXYZ is congruent with ΔPQZ.
13. In the third diagram, it is given that line segments-
MN ≅ LR
LN ≅ LS
It is given that angles -
∠LMN ≅ ∠LRS
If the line segments MN ≅ LR and LN ≅ LS, then ∠MNL ≅ ∠NLS
But not enough information is given about ∠MNL and ∠NLS being equal.
Therefore, ΔMNL is not congruent with ΔRSL.
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a rectangle has a perimeter of 38. find the length and the width of the rectangle if the length is 5 less than twice the width. hint: the equation for the perimeter of a rectangle is:
Answers
The length and width of the given rectangle are 11 units and 8 units.
Let the length and breadth of rectangle be l and b.
The perimeter of a rectangle is given by the formula:
P=2( l + b )
It is given that Perimeter of the rectangle is 38.
2( l + b ) = 38
( l + b ) = 19
l = 19 - b
Also, length is 5 less than twice the width.
l = 2b - 5
⇒19 - b = 2b - 5
⇒3b = 24
⇒b = 8
Now, The length can be calculated as:
⇒l = 19 - b
⇒l = 19 - 8
⇒l = 11
Therefore, The length and Width of the rectangle are 11 and 8 respectively
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The area of a triangle can be calculated using various formulas. For example, Heron’s formula is used to calculate the triangle’s area, when we know the length of all three sides. Trigonometric functions are also used to find the area of a triangle when we know two sides and the angle formed between them. However, the basic formula that is used to find the area of a triangle is:
Answers
The basic formula that is used to find out the area of a triangle is:
Area = (1/2) * base * height.
where "base" is one of the sides of the triangle, and "height" is the perpendicular distance from the vertex opposite the base to the line formed by the base. This formula is based on the fact that the area of a triangle is equal to half of the product of its base and its height. The height is also known as the altitude, and it is the distance from the vertex opposite the base to the line formed by the base. It is important to note that the height must be perpendicular to the base. This formula is valid for any type of triangle, whether it is right-angled or not, and it works well when the base and the height are known. This formula can be used in any triangle, and can be applied to any side as base, not only the bottom side. Another important formula is Heron's formula which is used to find the area of a triangle when the lengths of all three sides are known. Heron's formula is given by:
Area = √(s(s-a)(s-b)(s-c))
where s is said as semi-perimeter of the triangle, and a, b and c are the lengths of the three sides of a given triangle.
Finally, trigonometric functions like sine, cosine, and tangent can also be used to find the area of a triangle when we know two sides and the angle formed between them. The formula used is:
Area = (1/2) * a * b * sin(C)
where let us assume a and b are the lengths of two sides of the given triangle and C is the angle which is between them.
In conclusion, there are different formulas for calculating the area of a triangle, the most common one is the base times height formula, but depending on the information you have, you can also use Heron's formula or trigonometric functions.
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Write the number in standard form.
-2+√-8
2
Answers
The standard form of the given number -2+√-8 is -2+2i
What is the imaginary number?
An imaginary number is a number that can be written in the form of a real number multiplied by the imaginary unit, denoted by the symbol "i". The imaginary unit, "i", is defined as the square root of -1, which is a number that when multiplied by itself results in -1.
The given number cannot be written in standard form, because √-8 is an imaginary number and cannot have a real value. The square root of a negative number is an imaginary number, and these numbers are denoted by the imaginary unit, i.
The imaginary unit is defined as the square root of -1.
The number -2+√-8 is equal to -2+i*2.
The standard form of a complex number is a+bi, where a and b are real numbers and i is the imaginary unit.
So, The standard form of the given number -2+√-8 is -2+2i
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Y=2x + 9; 6x -3y = 0 / 4x -2y = 3; 2x -4y -3 cual de la siguientes parejas de rectas no son paralelas?
Answers
Yes, 6x -3y = 0 and 2x -4y -3 are parallel. This is because they both have the same slope, -3/2. The slope of a line can be calculated from its equation, by dividing the coefficient of the x term by the coefficient of the y term.
How to solve the problem?Two lines are parallel if they have the same slope. The slope of a line is represented by the letter "m" in the equation y = mx + b.
In this case, Y=2x + 9 has a slope of 2 and 4x -2y = 3 has a slope of -1/2, these slopes are different, which means that these two lines are not parallel.
On the other hand, 6x -3y = 0 and 2x -4y -3 are parallel because they have the same slope, -3/2. The slope of a line is the amount of change in the y coordinate for each unit of change in the x coordinate.
Yes, 6x -3y = 0 and 2x -4y -3 are parallel. This is because they both have the same slope, -3/2. The slope of a line can be calculated from its equation, by dividing the coefficient of the x term by the coefficient of the y term.
In the case of 6x -3y = 0, the slope is -3/6 = -1/2. In the case of 2x -4y -3, the slope is -4/2 = -2. Since both lines have the same slope, they are parallel. This means that they never intersect and have the same direction.
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The attached file, data_red_banjo_pints_sold.xlsx, lists the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company. Construct a histogram with lower bin limit of O and bin width 50 for the variable IPA beer (pints). Which of the following best describes the sales data? symmetric negatively skewed positively skewed flat A C 1 Day 2 3 4 3 4 8 9 8 6 7 8 9 10 11 12 13 14 15 B IPA (pints) 1 158 2 169 162 4 154 5 154 6 275 7 277 8 154 9 161 10 166 11 159 12 168 13 262 14 283 15 154 16 164 17 165 18 156 19 164 20 258 21 260 22 155 23 155 24 159 25 164 26 165 27 255 28 268 29 152 30 162 CO 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Red Banjo Pints Produced А B C D 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 163 154 267 272 158 162 162 166 138 260 267 160 148 152 164 168 267 267 152 164 150 160 170 248 275 160 162 153 157 79 80 81 82 83 84 85 86 87 85 86 88 87 89 90 91 88 89 90 157 273 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 273 270 162 164 164 150 168 258 263 158 166 165 154 169 250 270 160 164 157 157 168 265 285 150 150 162 155 160 262 260 160
Answers
The data can be analyzed to determine the distribution of the data.
In order to construct a histogram for the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company, the lower bin limit is set to 0 and the bin width is set to 50. The data can be analyzed to determine the distribution of the data. To calculate the distribution, the data points are counted and the number of occurrences of each data point is divided by the total number of data points.
Using this formula, the data can be analyzed to determine if the data is symmetric, negatively skewed, positively skewed, or flat. The formula used is:
(Number of Occurrences / Total Number of Data Points) * 100
In the case of the Red Banjo Brewing Company data, the data is found to be positively skewed. This means that there are more data points in the higher range than in the lower range. This suggests that the brewery has seen a steady increase in the sale of IPA beer over the past three years.
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Consider the linear system
x+y-y z=2
x+2y+ z=3
x+y+(k^2-5)z= k
where k is an arbitrary constant. For which value(s) of k does this system have a unique solution? For which value(s) of k does the system have infinitely many solutions? For which value(s) of k is the system inconsistent?
Answers
The system is inconsistent for k=0.
The system has a unique solution when k=1 and k=-3. To see this, we plug in these values of k into the system and solve the resulting three equations in three unknowns. For k=1, we have x=2, y=1, and z=0. For k=-3, we have x=3, y=2, and z=0.
The system has infinitely many solutions when k=5. In this case, we have x+y-5z=2, x+2y+z=3, and x+y+25z=5, which yields the solution x=2, y=1, and z=0/5. Since any non-zero value of z will also satisfy the system, the system has infinitely many solutions.
The system is inconsistent when k=0. In this case, we have x+y=2, x+2y+z=3, and x+y-z=0, which has no solution. Therefore, the system is inconsistent for k=0.
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3. Consider a large slice of air over a city to be a box 125 km x 125 km (L x W) that reaches up to an altitude of 1.5 km. Clean air is blowing into the box along one of its sides with a speed of 4 m/s. Suppose an air pollutant with a reaction rate of k = 0.23/hr is emitted into the box at a total mass loading rate of 10 kg/s. a. Find the steady state concentration if the air in the box is assumed to be perfectly mixed. b. If the wind speed suddenly drops to 1 m/s, estimate the concentration of this pollutant 3-hr later.
Answers
a. Steady state concentration = 10/0.23 = 43.48 kg/m^3
b. Concentration 3 hrs later = 10/0.23 * e^(-3*0.23/1) = 34.99 kg/m^3
a. The steady state concentration of the air pollutant can be found by the equation C = M/k, where C is the concentration, M is the mass loading rate, and k is the reaction rate. In this case, C = 10 kg/s/0.23/hr = 43.48 kg/m^3. b. To calculate the concentration of the pollutant 3 hours later, we can use the equation C = M/k * e^(-kt), where t is the time in hours. In this case, C = 10/0.23 * e^(-3*0.23/1) = 34.99 kg/m^3. This equation takes into account the decrease in wind speed and the decrease in reaction rate due to the decrease in concentration.
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In our class, there are 11 female and 14 male students. Among 11 female students, 5 get grade A. Among 14 male students, 4 get grade A.
Let A= `pick a student randomly, the grade of this student is A', and M=` pick a student randomly, this student is a male’.
Then, the conditional probability P(A|M) is:
Answers
The conditional probability that the selected student is male and got grade A is 2/7.
Define the term conditional probability?The possibility of an outcome or an event happening contingent on the incidence of a prior event or outcome is known as conditional probability. The likelihood of an event happening given the another has already happened.P(A|M) stands for the probability of such a considering that M has happened.
Then, formula for the conditional probability is-
P(A|M) = P(A∩M) / P(M)
P(A∩M) = Probability that the student is male M and got grade A = 4/25.
P(M) = Probability that the student is male M = 14/25.
Then,
P(A|M) = 4/25 / 14/25
P(A|M) = 4/14 = 2/7
Thus, the conditional probability that the selected student is male and got grade A is 2/7.
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The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (5,100) and (7,140) to find the number of soda bottles the machine can make each minute.
Answers
Based on the graph which shows the relationship between time and the number of soda bottles a machine can make, this machine can make 20 soda bottles each minute.
How to calculate the number of soda bottles?In Geometry, the rate of change of any straight line simply refers to the slope and it can be calculated by using this mathematical equation (expression);
Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)
From the information provided in the graph above, we can logically deduce the following data points located on the line:
Points on the x-coordinate = (5, 7).Points on the y-coordinate = (100, 140).Substituting the given data points into the rate of change formula, we have the following;
Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)
Rate of change (slope), m = (140 - 100)/(7 - 5)
Rate of change (slope), m = 40/2
Rate of change (slope), m = 20.
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You buy a milkshake from a shoppe that only has chocolate, vanilla, and strawberry flavors. Find the probability that your milkshake consists of more than 3
flavors.
Answers
Step-by-step explanation:
soln on
n(s)=6
n(p)=3
therefore
probability =6/3
Alewuya invests $1,000 at 13% simple interest for 6 years. How much is in the account at the end of the 6 year period?
Answer: $
Answers
The amount of money with the simple interest is A = $ 1,780
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as I
Now , the amount with simple interest A = P + I
Now , the principal P = $ 1,000
The interest rate R = 13 %
The number of years T = 6 years
And , Simple Interest I = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest I = ( 1000 x 13 x 6 ) / 100
On simplifying the equation , we get
Simple Interest I = $ 780
Now , the amount after 6 years = $ 1,000 + $ 780
The amount after 6 years = $ 1,780
Hence , the simple interest is $ 780
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Three views of a soild are shown. Find the number of the faces, edges, and veritices of the soild.
Answers
Faces 6
Edges 12
Vertices 8
PLEASE HELP FAST WILL MARK BRAINLYISNT
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are 3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit. Which pipe can be used to complete the task, and why?
either, because the broken pipe is 2.51 meters long either, because the broken pipe is 2.67 meters long
pipe B, because the broken pipe is 3.81 meters long
pipe B, because the broken pipe is 4.20 meters long
neither, because the broken pipe is 4.80 meters long
Answers
Answer: either, because the broken pipe is 2.51 meters long either, because the broken pipe is 2.67 meters long
Step-by-step explanation:
HELP!! i want the answer
Answers
The tangent line to the given circle passing through the point B is given by the image presented at the end of the answer.
What is a tangent line?A tangent line to a circle is a line that only touches the circumference of the circle, not crossing.
If the line crosses the circle, then the line is called a secant line, which crosses the circumference of the circle twice.
Then the tangent line, only touching the circumference of the circle, is given by the image presented at the end of the answer.
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Yields of 10 strawberry plants in a uniformity trial are given by two researchers as
3
239, 176, 235, 217, 234, 216, 318, 190, 181, and 225. Using these data:
a. Write the null and alternate hypotheses given you want to determine if the mean of
the 10 strawberry plants differs from 205 g.
b. Conduct a t-test at the 95% level of confidence to test the null hypothesis in part a.
c. Test the same hypothesis in part a at the 95% level of confidence using a Confidence
Interval
Answers
The hypotheses are
Null hypothesis: The mean of the 10 strawberry plants is equal to 205g (μ=205).Alternate hypothesis: The mean of the 10 strawberry plants is not equal to 205g (μ≠205).We fail to reject the null hypothesis in (b) and (c)
The null and alternate hypothesesHere, we have
The mean of the 10 strawberry plants differs from 205
So, the hypotheses are
Null hypothesis: μ=205Alternate hypothesis: μ≠205)A t-test at the 95% level of confidenceWe start by calculating the mean and the sample standard deviation
Using an online calculator, we have
Mean = 223.1
Standard deviation = 40.4
Calculate the t-statistic
t-statistic = (223.1 - 205) / (40.4 / √10) = 1.42
The degrees of freedom for this test are 9 (n - 1).
Using a t-distribution table, the critical value for a one-tailed t-test with 9 degrees of freedom and a 95% level of confidence is 1.833.
Since the calculated t-statistic of 1.42 is less than the critical value of 1.833, we fail to reject the null hypothesis.
Test the same hypothesis at the 95% level of confidence:Calculate the standard error:
Standard Error = 40.4 / √10 = 12.78
Calculate the z-statistic:
z-statistic = (223.1 - 205) / 12.78 = 1.41
In this case, the z-statistic (1.41) is less than the critical value (1.960) from the standard normal distribution table, so we accept the null hypothesis.
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NEED HELP ASAP!!! DUE TOMORROW
Answers
Answer:M<R corresponds to M<T, meaning M<R is 4x+1.
Step-by-step explanation:
In a bowling class, the students are organized into teams. The number of students in the class is used to calculate how many teams will be formed.
s = the number of students in the class
t = the number of teams to be formed
Which of the variables is independent and which is dependent?
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There are three children, three pets, and three favorite colors. the children are: angela, lisa, and susan. the pets are: a cat, a dog, and a fish. the colors are: blue, green, and red.
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6 is the number of ways described when There are 3 children, 3 pets, and 3 favorite colors. We can represent the children, pets, and colors in a list and explained below .
Children:
1. Angela
2. Lisa
3. Susan
Pets:
1.Cat
2. Dog
3. Fish
Colors:
1.Blue
2.Green
3. Red
We can use the combination rule to find the number of ways to assign a child, a pet, and a color to each other. The combination rule states that if we have n items and want to choose k items at a time, the number of ways to do this is given by the formula:
n! / (k! (n-k)!)
Where n! denotes the factorial of n, meaning the product of all positive integers less than or equal to n.
In this case, we have 3 children, 3 pets, and 3 colors, and we want to assign one of each to each other. So we can use the formula to find the number of ways to do this:
3! / (1! (3-1)!) = 3! / (1! 2!) = 3 * 2 * 1 / (1 * 2) = 3
So there are 3 ways to assign a child, a pet, and a color to each other.
We can also use the permutation rule to find the number of ways to assign a child, a pet, and a color to each other. The permutation rule states that if we have n items and want to choose k items at a time and order matters, the number of ways to do this is given by the formula:
n! / (n-k)!
In this case, we have 3 children, 3 pets, and 3 colors, and we want to assign one of each to each other. So we can use the formula to find the number of ways to do this:
3! / (3-3)! = 3! / 0! = 3 * 2 * 1 / 1 = 6
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What is the resultant vector of ? A+B?
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The resultant vector of A+B is C (5,3) with the length of √34.
Resultant vector is the sum of 2 or more vectors. In this case, we give the name of the resultant vector as C.
Please refer to the attached picture below.
Vector C is the resultant vector of A+B and we will use the tail-to-head appraoch.
From the given graph, we know that:
vector A = (2 - 0) = (2)
(4 - 0) (4)
Vector B = (5 - 2) = (3)
(3 - 4) (-1)
Vector C = Vector A + Vector B
Vector C = (2 + 3)
(4 + (-1))
Vector C = (5,3)
The length of Vector C can be calculated using the phytagoras theorem:
Length of vector C = √(5² + 3²)
Length of vector C = √(25 + 9)
Length of vector C = √34
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Prove that (sinθ-cosθ)^2(sinθ+cosθ)^2 = 2
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Step-by-step explanation:
(sinθ + cosθ)^2 + (sinθ − cosθ)^2
= (sin^2 θ + cos^2 θ + 2sinθ cosθ)+(sin^2 θ+cos^2 θ − 2sinθ cosθ)
= (1 + 2sinθ cosθ) + (1 − 2sinθ cosθ)
= 1 + 2sinθ cosθ + 1 − 2sinθ cosθ
= 1 + 1 = 2
Therefore, (sinθ+cosθ)^2 + (sinθ−cosθ)^2 = 2
