To find the mean, median and mode add up the values and divide, the value of set in middle of the list and identify the most number of times a number is repeated.
The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data. For illustration, a cricketer's five ODI scores are as follows: 12, 34, 45, 50, 24. We compute the arithmetic mean of the data using the mean formula in order to get his typical score in a game:
Mean = Sum of all observations/Number of observations
Mean = (12 + 34 + 45 + 50 + 24)/5
Mean = 165/5 = 33
The median of the data is the value of the middle observation after the data have been arranged in either ascending or descending order.
Take these numbers as an example: 4, 4, 6, 3, 2. Let's organize these numbers ascending: 2, 3, 4, 4, 6.
Median = (n + 1)/2th observation
A data mode is the value that appears the most frequently in the provided data, or the observation with the highest frequency.
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What is the completely factored form of 12xy 9x 8y?.
Given that the polynomial is 12xy - 9x - 8y + 6, we must determine its fully factored form.
There are two variables in the given polynomial.
12xy - 9x - 8y - 6 = 3x(4y - 3) Now, 12xy - 9x - 8y - 6 = 3x(4y - 3) - 2(4y - 3) = (3x - 2)(4y - 3) The polynomial's fully factored form is (3x - 2)(4y - 3)
(3x - 2)(4y - 3) is the fully factored form of 12xy - 9x - 8y + 6.
One approach to factoring expressions is factoring by grouping. If the expression can be broken down into its component parts, this approach is helpful. On the other hand, we can employ additional strategies.
A polynomial is an expression made up of variables, constants, and exponents that are added, subtracted, multiplied, and divided using mathematical operations (no division by a variable).
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Full Question = What is the completely factored form of 12xy - 9x - 8y + 6?
There are nine different type of bacteria on the Petri dih. What percent of the bacteria on the Petri dih i of type 3
The number of bacteria of type 3 that will be found on the Petri dish will be 36.84%.
The percentage of bacteria of type 3 on the Petri dish can be calculated using the percentage formula:
P = (Final value - Initial value) / Initial value multiplied by 100.In this case, the final value is the number of bacteria of type 3 in the Petri dish, which is 7. The initial value is the total number of bacteria in the Petri dish, which is the sum of all the bacteria of all types, which is:
1 + 2 + 1 + 7 + 4 + 1 + 1 + 1 + 1 = 19Hence:
P = (7 - 0) / 19 x 100 P = 7 / 19 x 100 P = 36.84%.Therefore, 36.84% of the bacteria in the Petri dish are of type 3.
This question should be provided as:
There are nine different types of bacteria on the Petri dish. A drawing shows some colonies of bacteria on the Petri dish. The number of bacteria in different colonies is as follows:
Colony bacteria
1 2
2 1
3 7
4 4
5 1
6 1
7 1
8 1
9 1
What percent of the bacteria on the Petri dish is of type 3?
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Plumber W charges $95 per hour and an additional $32 for parts. What is the difference in cost between Plumber W and Plumber T if the repair takes 5 hours?
The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be $36.
How to calculate the difference in rate?From the information, Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.
The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be:
= 86 + (41 × 5) - 95 + (32 × 5)
= 86 + 205 - 95 + 160
= 291 - 255
= 36
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Complete question
Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.
What is the difference in cost between Plumber W and Plumber T if the repair takes 5 hours?
Talia works 6 hours per day on fridays and saturdays each week. She earns $8. 20 per hour. What is her gross pay in a week?.
Before any taxes, deductions, and other adjustments, she earns $98.40 per week.
To calculate Talia's gross pay for a week, we need to know how many hours she works per day and her pay rate.
Gross pay refers to the total amount of money an employee earns before any deductions or taxes are taken out. It is the total amount of money earned by an employee for the hours worked, including any overtime or bonuses.
You've provided that information:
Talia works 6 hours per day on Fridays and Saturdays each week.
Her pay rate is $8.20 per hour.
First, we need to find out how many hours she works a week. As she works 6 hours on Friday and 6 hours on Saturday, the total hours she works in a week is 6 hours/day x 2 days/week = 12 hours/week.
Next, we need to multiply her hourly rate by the number of hours she works per week to find her gross pay. Her pay rate is $8.20/hour and she works 12 hours/week, so her gross pay is:
$8.20/hour x 12 hours/week = $98.40/week
So, Talia's gross pay for a week is $98.40.
Therefore, before any taxes, deductions, and other adjustments, she earns $98.40 per week.
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URGENT PLS ANSWER ASAP THANKS!!
Answer:
A
Step-by-step explanation:
Angle A=Angle X
AB=XY
AC=XL
URGENT PLS HELP I NEED IT RN THANKS!
The true statement is "No, you cannot prove that the two right triangles are congruent with the information given."
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Sidewalk A and Sidewalk B intersect at a right angle. Sidewalk B extends 500 feet on either side of the intersection with Sidewalk A.As a general rule, congruent triangles would have same dimensions and angles
In the scenario, we understand that Sidewalk B and Sidewalk A form a right angle.
This and the other information does not provide information to determine the congruency because the lengths of the sides of either triangle or the angles are missing.
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Let R be the region in the first quadrant bounded by the x-axis, the graph of x=y2+2, and the line x=4. What is a the interval for the area of R?
A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be [tex]$-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$[/tex]
What is meant by parabola ?A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.
Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.
Sketch the graph of [tex]$x=y^2+2$[/tex] by sketching the sideways parabola [tex]$x=y^2$[/tex] then adding 2 to the x coordinates (translate 2 to the right).
Add the x axis and the vertical line x = 4.
The area can be found by either
[tex]$\int_2^4 \sqrt{x-2} d x$$[/tex] or [tex]$\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$[/tex]
[tex]$=\int_0^{\sqrt{2}}-x^2+2 d x$$[/tex]
Apply the Sum Rule: [tex]$\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$[/tex]
[tex]$=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$[/tex]
simplifying the equation, we get
[tex]$\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$[/tex]
[tex]$\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$[/tex]
[tex]$=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$[/tex]
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I need help ASAP!! I can get the other answer if you want
Answer: The answer is D
Step-by-step explanation:
Couldn't see the full graph but one of the points I got was (2,4) and I saw that in the picture. But the correct answer is D.
Hope this helps! Good luck!
Please help me I would really appreciate it thank you
Answer:
82°
Step-by-step explanation:
You want the unmarked remote interior angle of a triangle, given that one of them is 61°, and the exterior angle opposite is 143°.
Interior anglesThe exterior angle is the sum of the remote interior angles:
143° = 61° +∠B
∠B = 143° -61° . . . . subtract 61°
∠B = 82°
__
Additional comment
In case you don't remember the remote interior angles theorem, you can get the same result using angle relations you do remember:
the sum of angles in a triangle is 180°a linear pair totals 180°The interior angle at A is the supplement of the exterior angle:
∠A = 180° -143°
When ∠A is added to the other two interior angles, the total is 180°:
∠A +∠B +61° = 180°
(180° -143°) +∠B +61° = 180° . . . . . . use the above expression for ∠A
Rearranging this to give the value of angle B, we have ...
∠B = 180° -180° +143° -61°
∠B = 143° -61° = 82° . . . . . . as above
Another way to get there is to consider ...
The sum of ∠B and 61° is supplementary to interior angle A (their total is 180°). The exterior angle 143° is supplementary to interior angle A. Two angles supplementary to the same angle are equal, so the sum of ∠B and 61° is equal to the exterior angle 143°.
When the standard deviation is 4 The variance is equal to?.
The standard deviation is 4 The variance is equal to 16.
In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.
Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.
The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.
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f(x)=3(2)x for x=-1
f(-1)=
F(-1)=-6
Substitute x=-1 into the function
f(-1)=3(2)x,x=-1
F(-1)=3x2x(-1)
Please help me ASAP THANK YOU!! Will give brainlessly if answered correctly <3
It will take 36 months for the populations of Rock Hill and Greenville to be the same.
What is the Division?
Division is a mathematical operation used to find the number of times one number, known as the dividend, is contained within another number, known as the divisor. It is represented by the symbol "/" or the word "divided by". It is the inverse operation of multiplication.
To determine when the populations of Rock Hill and Greenville will be the same, we need to find the difference in population growth between the two cities and divide it by the difference in population growth rate. We can use the following formula:
(Population of Rock Hill - Population of Greenville) / (Population growth rate of Rock Hill - Population growth rate of Greenville) = Number of months until populations are equal
First, we will calculate the population growth rate of Rock Hill and Greenville:
Population growth rate of Rock Hill = (100 people move in) - (150 people move out) = -50 people/month
Population growth rate of Greenville = 200 people move in/month
Now we can use this information to calculate the number of months until the populations are equal:
(70,000 - 61,000) / (-50 - 200) = (9,000) / (-250) = 36
It will take 36 months for the populations of Rock Hill and Greenville to be the same.
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What is the total area, in square centimeters, of the shaded sections of the trapezoid below?
The shaded areas therefore cover a total area of 86.84 cm2.
What is the total area?Let's calculate the whole trapezoid's area. You multiply by the height after adding the top and bottom sides and dividing the result by two.
To get the length of the top side, we sum the values that make up that side.
6.4+5.2+9.6=21.2
The underside is 5.2.
The top and bottom sides are added.
21.2+5.2=26.4
We multiply by 2.
26.4/2=13.2
We increase by the height, which is 6.2 as we can see.
13.2×9.1=120.12
Next, we locate the rectangle's unlit portion.
6.4×5.2 = 33.28
To get the total area of the two shaded triangles, we deduct this from the trapezoid's overall area.
120.12 - 33.28 = 86.84
The shaded areas therefore cover a total area of 86.84 cm2.
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Leslie surveyed 80 students in her grade and found that 47 students had a dog with those students 17 of them also had a cat there were 24 students at a cap and no dog there were nine students that did not have a cat or dog move values to create a to table that shows the data from Leslie survey
Leslie's survey found that 58.75% of students had a dog, 21.25% had a cat, and 11.25% had neither.
This can be visualized in the following table:
Dog | Cat | Neither
47 | 17 | 24
9 | 0 | 0
Leslie's survey results showed that out of the 80 students surveyed, 47 of them had a dog, 17 of them had both a dog and a cat, 24 of them had a cat but no dog, and 9 of them had neither a dog nor a cat.
This shows that a higher percentage of students surveyed had a dog (58.75%) than a cat (21.25%). Furthermore, a higher percentage of students surveyed had either a dog or a cat (79%) than those that had neither (11.25%).
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One atom i ×110−8 centimeter in length. How many atom could be laid end-to-end on a metertick (which i 100 cm in length)? Leave the anwer in cientific notation. Round to two decimal place, if neceary
The number of atoms that can be laid end-to-end on a meter stick is equivalent to 10^8 atoms.
A meter is equivalent to 100 centimeters (cm), and an atom is about 10^-8 centimeters in length. So, when we divide the length of a meter stick (100 cm) by the length of one atom (10^-8 cm).
we are essentially dividing 100 by a decimal number on the order of 0.00000001.
This is the same as multiplying 100 by a number on the order of 100,000,000. In other words, we are multiplying 100 by 10^8.
So, 100 cm / (1*10^-8 cm) = 10^8 atoms
This means that the number of atoms that can be laid end-to-end on a meter stick is equivalent to 10^8 atoms which is a very big number, this is why we use scientific notation to represent it.
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What is the range of the function on the graph?.
The range is the set of possible outcome values, which are shown on the y-axis.
The range of a function directs to all the possible values y could be. The formula for finding the range of a function is y = f(x). It is a function of every x value that corresponds to only one y value.
To find the range of a function on a graph, draw (or plot) the domain (x) and range (y) coordinates on a piece of graph paper using small dots. This can assist you to see the shape of the function. You will notice a straight line, a curved line shaped like a "u" or "n", or something that looks like waves.
When making a graph, move left or right on the x-axis, depending on whether the x-coordinate is negative or positive. Then, move up or down on the y-axis, depending on whether the y-coordinate is positive or negative.
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Your chool i putting on a production of Wet Side Story. Ticket cot $5 for tudent and $9 for non-tudent. On one night there were three time a many tudent a there were non-tudent. On thi night, they old $4,608 in ticket. How many tudent ticket were old? How many non-tudent ticket were old?
On that particular night, there were 144 student tickets and 432 non-student tickets sold.
Let x be the number of student tickets sold that night
y be the number of non-student tickets sold that night
On that night, there were three times as many student as there were non-students. Hence, we can write that as an algebraic expression such that
3x = y
If tickets cost $5 for students and $9 for non-students, and on that night, they sold $4,608 in tickets, then we can express that as
$5x + $9y = $4608
5x + 9y = 4608
Substitute the value of y from the first expression to the second and solve for x.
5x + 9y = 4608
5x + 9(3x) = 4608
5x + 27x = 4608
32x = 4608
x = 144
Plug in the value of x into the first expression and solve for y.
y = 3x
y = 3(144)
y = 432
Hence, the number of tickets sold on that night to students and non-students were 144 and 432, respectively.
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Solve the system by substitution.
y=2x+3
3x+2y=6
Answer:
(0, 3 )
Step-by-step explanation:
y = 2x + 3 → (1)
3x + 2y = 6 → (2)
substitute y = 2x + 3 into (2)
3x + 2(2x + 3) = 6 ← distribute parenthesis and simplify left side
3x + 4x + 6 = 6
7x + 6 = 6 ( subtract 6 from both sides )
7x = 0 , then
x = 0
substitute x = 0 into (1) for y
y = 2(0) + 3 = 0 + 3 = 3
solution is (0, 3 )
An investor bought a share of a stock at the beginning of 2015. At the beginning of 2017, the share was worth $1050. From the beginning of 2015 to the beginning of 2017 the value of the share halved each year, but from the beginning of 2017 to the beginning of 2019, the value of the share increased by 1.5 times each year. The investor sold the share at the beginning of 2019. Find and interpret the difference between what the investor paid for the share and what the investor sold the share for.
$656.25 is the difference between the investor paid for the share and the investor sold the share.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that At the beginning of 2017, the share was worth $1050.
From the beginning of 2015 to the beginning of 2017 the value of the share halved each year.
In 2017 it is 1050.
In 2016 , it is 2100
In 2015, it is 4200
Beginning of 2017 to the beginning of 2019, the value of the share increased by 1.5 times each year.
In 2017, 1050×1.5=1575
In 2018, 1575×1.5=2362.5
In 2019, 2362.5×1.5=3543.75
The investor paid for share is 4200 and the investor sold is 3543.75.
Difference =4200-3543.75
=656.25
Hence, $656.25 is the difference between the investor paid for the share and the investor sold the share.
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List the first five multiples of the denominator in each fraction in order of least to greatest. Fraction Multiples 2/5 3/2
The first five multiplies of the denominator in each fraction in order of least to greatest are given below.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
There are two fractions,
2/5 and 3/2.
The first five multiplies of the denominator of 2/5:
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
The first five multiplies of the denominator of 3/2:
2x 1 = 2
2x 2 = 4
2x 3 = 6
2x 4 = 8
2x 5 = 10
Therefore, the first five multiplies of denominator are given above.
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Can the side lengths 5 12 and 13 form a right triangle?.
The sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.
In the given question, we have to define the side lengths 5, 12 and 13 form a right triangle.
A side can form a right triangle if the sum of two sides is greater than the third side.
To check the given sides can from a right triangle or not we add them.
5 + 12 > 13
17 > 13 (True)
5 + 13 > 12
18 > 12 (True)
12 + 13 > 5
25 > 5 (True)
Hence, we can see that the sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.
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What is the degree of the polynomial 3x2y3 4xy x6 y5?.
The degree of the polynomial p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵ is 6.
A degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 2x^3 + 4x^2 - 5x + 7, the degree is 3 (the highest power of x is x^3). A polynomial of degree 0 is a constant polynomial and a polynomial of degree 1 is a linear polynomial.
To find the degree of a polynomial, you can do the following:
→ Write the polynomial in standard form, with the terms arranged in descending order of exponents.
→ Take the exponent of the term with the highest exponent. This exponent is the degree of the polynomial.
Given,
p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵
Here,
Degree of polynomial is 6
As, 6 is highest of all the exponent given in p(x)
Hence, the degree of the polynomial p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵ is 6.
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What does sum limit mean?.
The value L that a function f(x) approaches when its input value x approaches a predetermined value c is referred to as the function's limit.
The limit of f(x) as x approaches c does not exist if, at the value c, there is no single value L that the function f(x) can be considered to approach.
The behavior of the function as it approaches c from both the right and the left must be examined in order to ascertain whether this is true of the function (that is, from x values that are larger and smaller than c, respectively).
A fundamental idea in calculus is the concept of limits. Limits help one to comprehend the connection that a function creates between its variables.
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How often does a 4 standard deviation event occur?.
About once every 126 years, or every 31,560 days, there will be a 4-sigma event; A 5-sigma event occurs approximately once every 13,932 years (!!) or every 3,483,046 days.
How uncommon is a 4 standard deviation?The geniuses, or approximately 0.1 percent of the population, are 4 standard deviations from the mean. When attempting to determine a hypothesis's likelihood, the standard deviation emerges as an essential instrument.
What does it mean to have 4 standard deviations?4 Standard Deviations From The Mean: 99.99% (9999 out of 10000) of values in a data set with a normal distribution will be within 4 standard deviations of the mean. Therefore, the interval (S – 4E, S + 4E) will cover 9999 of the 10000 data points in the set.
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A certain brand of coffee comes in two sizes. A 10.5 -ounce package costs $2.99. A 29.9-ounce package costs 7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent.
The 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.
To determine the unit price for the 10.5-ounce package, you would divide the cost of the package ($2.99) by the weight of the package (10.5 ounces). So:
$2.99 ÷ 10.5 ounces = $0.2847 per ounce
To find the unit price for the 29.9-ounce package, you would divide the cost of the package ($7.98) by the weight of the package (29.9 ounces). So:
$7.98 ÷ 29.9 ounces = $0.2669 per ounce
So, the 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.
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(5+7)*200
[tex]please \: excuse \: my \: dear \: aunt \: sally[/tex]
How would I solve this equation using my formula
Answer:This is a mathematical expression. To solve it, we can use the order of operations (PEMDAS)
First, we simplify the expressions inside the parentheses.
5+7 = 12
Then, we simplify the multiplication
12 * 200 = 2400
So the result of (5+7)*200 is 2400.
0.5137
+ blank
= 1
Find the answer that equals 1.
Answer:
0.4863
Step-by-step explanation:
A race car can go around the track 48 time in eight minute. What i the car unit rate?
The car unit rate of the race car is 6 miles/minute.
A unit rate specifies how many units of the first type of quantity equal to one unit of the second type of quantity. Examples of unit rates are km/hour, m/sec, cost/litre, and so on.
The denominator of a unit rate is always 1. To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Given that,
Quantity = 48 miles
Time taken = 8 minutes.
Thus, The car unit rate of the race car is 6 miles/minute.
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Write 18/(sqrt(2)) - 12/(sqrt(32)) in the form (a * sqrt(2))/b where a and b are integers.
The final expression of the algebraic expression is; (30√2)/2
How to solve algebra expressions?The algebraic expression is expressed as;
(18/√2) - 12/√32
Now, we know that √32 can be expressed as;
√(16 * 2) = √16 * √2
= 4√2
Thus, the expression is now;
(18/√2) - 12/4√2
= (18/√2) - (3/√2)
Factorizing common factor gives;
(1/√2)(18 - 3)
= 15/√2
Rationalizing the denominator gives;
(30√2)/2
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Test Scores
100
90
80
70
60
50
40
30
20
10
0
Test Scores in Relation to Homework
3
4
5 6
Hours of Homework
+x
7 8 9 10
Draw a line of best fit for the
graph.
Based on the line your drew,
what is the likely test score of a
student who does not study for
the test?
Test score of a student who does not study for the test 70%.
What is percentage?A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The sign "%" is used to denote it.
Out of a hundred is what the word "percent" refers to. Percentages are used in mathematics to represent subsets of a whole, just like fractions and decimals are. The whole is thought of as being composed of 100 equal parts when using percentages. As a less common alternative, the abbreviation "pct" may be used to indicate that a number is a percentage.
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