Answer:
1. A. -1.43 corresponds to an area of approximately 0.0637 under the normal curve.
B. 0.58 corresponds to an area of approximately 0.7295 under the normal curve.
C. -1.55 corresponds to an area of approximately 0.0633 under the normal curve.
D. For z>1.34, the area under the normal curve is approximately 0.0916.
--------
2. A. The 35th percentile corresponds to a z-score of approximately -0.48
B. The first quartile (Q1) corresponds to a z-score of approximately -0.67
C. For 12% of the data to fall above it, the z-score would be approximately 1.28
----------
3. A. To find the area under the curve for x< 31 inches, we need to convert 31 inches to a z-score using the formula: z = (x - mean) / standard deviation. For this case, z = (31 - 36) / 10 = -0.6, the area under the curve for this is 0.2744
B. To find the area under the curve for x> 49 inches, we need to convert 49 inches to a z-score, the z-score is (49 - 36) / 10 = 1.3, the area under the curve for this is 0.0968
C. The area under the curve for x = 40 inches is 0.3520
D. To find the height at which 70% of 5 year olds are below it, we need to use the inverse standard normal calculator, which gives us a z-score of 0.84162, we can then use this z-score to find the corresponding x value by using the formula x = mean + (z-score * standard deviation) which in this case would be 36 + (0.84162*10) = 42.4 inches
What are 6 angles called?.
Answer:
Hexagon
Step-by-step explanation
A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles
The box-and-whisker
plot below
represents some data set. What is the
value of the lower quartile?
The lower quartile is the value at the edge of the box on the lower edge of the box, 62 in this case.
The upper quartile would be 67, since that's the upper edge of the box.
Which triangles could not be similar to triangle abc ? triangle a b c where angle b is a right angle. Side a b is 15 cm. Side b c is 8 cm. Side a c is 17 cm. Select each correct answer.
The triangles are comparable to one another if the ratio of their corresponding sides is the same. Triangles ABC, GHI, and JKL all have an approximately equal number of corresponding sides. Triangle ABC, JKL, and GHI are hence comparable to one another.
Similar triangles may not necessarily need to have equal sides, but they do require that all of the angles match.Triangles are comparable to one another if their corresponding sides have lengths that are in the same ratio.
Therefore, Triangles ABC and GHI are comparable to one another because their sides are proportional to one another.Triangles ABC and JKL have sides that are proportionate to one another, hence they resemble one another.
Triangles JKL and GHI are comparable to one another.
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Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 12.
Answer:
0
Step-by-step explanation:
As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.
63/x ( if x = 6 ) please help
Answer: 10.5 or 21/2
Step-by-step explanation:
I take it that thats division? well if so then that would be 63 divided by x (6) which is 10.5 or in fraction terms 21/2
What value of x is in the solution set of 4x 12 ≤ 16 8x 10 9 8 7?.
The value of x is -7 in the set of solutions to the equation 4x-12≤16+8x.
Given the equation:
4x-12≤16+8x
By demonstrating any of the following, an inequality can be used to compare two (2) variables or integers in a mathematical equation:
Fewer than ()
More than (>)
Equal to or less than the other ()
Equal to or greater than the other ()
Group like terms:
4x-12≤16+8x
Simplify the like terms:
-4x≤28
Solve for x by dividing both sides by -4
x≤-28/4
Simplify further, we get:
x≤-7
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16 > -14 - s I don’t know how to solve this I’m in the 7th grade
Answer:
-30 < s
Step-by-step explanation:
16 > -14 - s
30 > -s
Divided by negative. Because divided by negative, the > will switch to be <
So, the answer is
-30 < s
or
s > -30
HELP DUE RIGHT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The high school tennis team is made up of boys and girls. The team has a total of 25 players. 12 of the players are girls. If a player is chosen at random, what is the probability that the player will be a boy?
A. 0.52
B.0.26
C.0.13
D.0.048
The probability that the player will be a boy is 0.52.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
The team has a total of 25 players. 12 of the players are girls.
Now, Number of boys in a team = 25 - 12
= 13
Hence, The probability that the player will be a boy is,
⇒ 13 /25
⇒ 0.52
Thus, The probability that the player will be a boy is 0.52.
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What is the common factor for 12a2b 15ab2 a 6ab B 12ab C 3ab D AB?.
12a2b = 2 2 3 a a b b; 15ab2 = 3 5 a b b b. The factors 3, a, and b are shared by the two terms. This demonstrates that the given expression's factors are a, b, and (4a + 5b).
We can deduce from the problem's options that (4a-5) is not a factor of the given expression.
What will be the 12x-36 common factor?12 is the highest-common factor between 12 and 36. However, neither the 12x nor the 36 given monomials contain any common literal. 12 is the most common factor.
What is class 7 factorisation?In mathematics, factorization or factoring is defined as the breakdown or decomposition of an entity—such as a number, matrice, or polynomial—into another product or common factors that yield the original number or matrix when repeated together, among other things.
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Write a for loop that prints the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer
A for loop for print the integers 1 through 40, separated by spaces or new lines is represented by #include <iostream>
using namespace std;
int main(){ for(int count=1;count<=40;count++)
printf(" %d",count);}.
A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. The structure for writing the " For loop" in C++ programming ,
#include <iostream> using namespace std; int main() { for (int i = 1; i <= 5; ++i) { cout << i << " "; } return 0; } .
We have to print the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer. The required for-loop is written as the following: Input :
#include <iostream>
using namespace std;
int main(){
for(int count=1;count<=40;count++)
printf(" %d",count);}
Output : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
The for-loop description-
Initialization : the count variable is initialized with 1 then in the next step the for-loop condition is set as “count<=40 “.Further the count is incremented by 1 by using “count++”Finally, to get the result the variable count is printed to the console.Hence, the required program code is founded.
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A job hotline service charges $25 plus a 4% commission, c, on the first month of earnings if it finds work for a client. Write an equation that represents the total cost, T, to find a job through the hotline. What is the cost if a client earns $1500 the first month?
The cost if a client earns $1500 the first month is; $36875
How to solve Linear Equation word problems?The formula for the equation of a straight line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
We are told that a job hotline service charges $25 plus a 4% commission, c, on the first month of earnings.
First month total charge;
T = $25 + 0.04c
We are told that the client earns $1500. Thus;
1500 = 25 + 0.04c
c = (1500 - 25)/0.04
c = $36875
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What is the nature of the roots of the quadratic equation 5x² 4x 1?.
Since there are two complex conjugates as the roots of the quadratic equation 5x2 4x 3 0 there is no way to describe them in terms of real integers.
The roots can only be roughly calculated because they are irrational numbers.
Two complex conjugates, which are unable to be expressed in terms of real numbers, make up the roots of the quadratic equation 5x2 4x 3 0. Using the quadratic formula, the roots can be discovered. The coefficients of the equation are necessary for the formula, and in this example, they are a=5, b=4, and c=3. When the quadratic formula is used, two complex roots are produced, denoted by the expressions x1 = -1/5 + (16)/5i and x2 = -1/5 - (16)/5i. Since their roots are irrational integers, they can only be roughly calculated. When b2-4ac, the discriminant, is negative, complex roots are frequently discovered. The discriminant in this situation is -64, which is negative and shows that the equation has complex roots.
Inequality = b2-4ac = 42-4(5)(3) = -64.
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Full Question = What is the nature of the roots of the quadratic equation 5x2 – 4x + 1 = 0?
What are the properties of radicals used in simplifying radical expressions?.
Radical expressions are numbers which have root values in them. The root can be an nth root, a square root, or a cube root. To simplify the radical expressions we can use the product property.
We first locate the radicand's greatest factor which is also a perfect power of the index.
Then we use that factor to rewrite the radicand as the product of two factors. Rewrite the radical as the result of two radicals by applying the product rule and then reduce the perfect power to its most basic form.
To simplify the radical expressions we can use the quotient property. Make the fraction in the radical simpler then rewrite the radical as the quotient of two radicals by using the Quotient Property. Radicals in the numerator and denominator should be made simpler.
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What is the formula to find vertex?.
As per the concept of line the vertex formula is used to find the vertex of a parabola is D = b² - 4ac.
The term line in math a one-dimensional figure which has length but no width and it is made of a set of points which is extended in opposite directions infinitely here we have also know that it is determined by two points in a two-dimensional plane.
Here we need to identify the formula that can be used for vertex.
Here we know that the vertex formula helps to find the vertex coordinates of a parabola.
Here we have write the standard form of a parabola is written as,
=> y = ax² + bx + c.
And the vertex form of the parabola is written as,
=> y = a(x - h)² + k.
And here we also know that there are two ways in which we can determine the vertex(h, k) is written as,
=> (h, k) = (-b/2a, -D/4a),
Here the D refers discriminant
And the formula for D is written,
=> b² - 4ac
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Math
Geometry > N.10 Properties of trapezoids UC9
T and Q are the midpoints of the legs, SU and RV, of trapezoid RSUV.
If UV = 35 and QT = 55, what is RS?
Q
R
T
RS =
S
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Submit
Skill plans
Yo
RS = 80. The two legs of the trapezoid, SU and RV, have lengths of 80 each. This can be found by adding the lengths of UV (35) and QT (55).
What is Trapezoid?Two of a trapezoid's four sides are parallel to one another.
Four angles, two non-parallel sides, and two sets of parallel sides make up this shape. It has two dimensions, four vertices, and four sides.
The bases of the trapezoid are the two parallel sides, while the other two sides are referred to as the legs.
Every time, the two bases are different lengths, and the same is true of the two legs. Rectangles, squares, and circles are just a few of the shapes that can have their areas calculated using trapezoids in geometry.
They are also employed to figure out the areas of various shapes, such as arcs and triangles.
To design structural elements like walls and foundations, trapezoids are also employed in engineering, architecture, and construction.
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Which two functions have the same rate of change?
Question content area bottom
Part 1
Select all that apply.
A.
y4x7
B.
t0.5n1
C.
y0.5x1
D.
n0.6r1
A and D have the same rate of change, which is 0.5.
What is the rate of change?Generally, The term "rate of change" (ROC) refers to the rate at which something varies over a period of time.
Therefore, the size of individual changes is not as important as the pace at which they are occurring or the rate at which they are accelerating or decelerating.
When it comes to financing, understanding price returns and recognizing momentum in trends may both be accomplished via the usage of rate of change.
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Mr. Floi i hoting a trivia contet for 40 tudent and 24 taff member. To be fair, Mr. Floi want there to be the ame number of tudent and the ame number of taff member on each team
Flossie needs 8 pupils and 8 staff members for each team to have an equal number of staff members.
The major issue is that there are 40 pupils in total, depending on common variables.
The biggest positive integer that divided each of the figures is the greatest common divisor of two or more numbers that are not all equal to zero. This phrase is used in arithmetic. The process which enables the largest common factor of the two numbers x and y.
The number of workers is 24, thus there are 24 workers.
Since she wants each squad to have the same amount of students and staff members, Flossie needs GCF.
GCF has 24 staff members and 40 students.
GCF for 40 and 24 equals 8.
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How do you graph the absolute value of y absolute value X?.
The process to sketch the graph of y = absolute value x is explained below .
What is Absolute Value ?
The absolute value of a number is the distance of the number from origin of a number line. It is denoted as |a|, which defines the magnitude of any integer "a". Absolute Value is represented by two vertical lines "|a|" , which is called as modulus of a .
we have to sketch the graph of the absolute function given as ; y = |x| ;
put x = -2 , we get ⇒ y = 2 ;
put x = 2 , we get ⇒ y = 2 ;
we see that if we put any value of "x" , positive or negative , the result "y" will always be positive .
Therefore , the graph of the function will be a V shaped graph facing upwards .
The given question is incomplete , the complete question is
How do you graph y = absolute value x ?
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What is a cube of 5?.
The cube of 5 is 125
We know that the cube of a number is the value that are obtained when a number is multiplied by itself three times.
We can find cubes for any real number.
If p be any real valued number then the cube of p is the product of number p three times.
i.e., p × p × p
The cube of number is represented by the third power (exponent) of that number.
for above the cube of number 'p' is represented by p³
Here we need to find the cube of number 5.
From definition of cube of number,
5³ = 5 × 5 × 5
5³ = 25 × 5
5³ = 125
Thus the cube of number 5 = 125
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66 x 7guess the answer no cheating no calculator no asking parent nothing figure it out
Answer:
462
Step-by-step explanation:
6×7×10×6 is how you do it
What is x2 in math?.
Answer:
The square of x, or x times x.
Step-by-step explanation:
You want to know the meaning of x2.
ExponentAs often seen on Brainly, and in poorly-edited math curriculum materials, the expression x2 is a badly-formatted version of x². It is often the result of a copy/paste operation in which the superscript text formatting is lost.
The superscript 2 is an "exponent." It tells you how many times x is a factor in the product:
x² means x·x . . . . . a product in which x is a factor 2 times.
Superscript textWhen superscript characters are not available, an exponent is usually signified in plain text using a caret (^) symbol:
x² ⇔ x^2
Please note that superscript text acts to group expressions that are part of an exponent:
[tex]x^{a+b}[/tex]
If you write this as x^a+b, it looks like b is added to the value of x^a. The expression above would be correctly written in plain text as x^(a+b), using parentheses to do the grouping that would otherwise be provided by the superscript font.
the ages of two brothers are in the ratio 8:3 in 3 years time their ages will be in the ratio 9:4 find the differences between their ages in simultaneous equation
The differences between their ages is equal to 15 years.
How to determine the differences between their ages?Since the ages of two brothers are in the ratio 8:3, the age of the first (1st) brother would be represented by 8x while the age of second (2nd) brother would be represented by 3x.
Note: The variable x represents the age in years.
After 3 years, the age of the first (1st) brother would be represented by 8x + 3. Similarly, the age of second (2nd) brother would be represented by 3x + 3.
Translating the word problem into an algebraic equation by using ratios, we have the following:
(8x + 3)/(3x + 3) = 9/4
4(8x + 3) = 9(3x + 3)
32x + 12 = 27x + 27
32x - 27x = 27 - 12
5x = 15
x = 15/5
x = 3.
Now, we can determine the age of the brothers;
First brother's age = 8x = 8 × 3 = 24 years.
And, 2nd brother's age = 3x = 3 × 3 = 9 years.
For the difference, we have:
Difference = 24 - 9
Difference = 15 years.
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How much greater is the intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1?.
The intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1 is 31*2 times greater.
Every whole number measurement releases energy that is around 31 times more than the previous whole number measurement. A magnitude 2 earthquake is thus 31 times more violent than a magnitude 1 earthquake, for instance.
The Richter scale, also known as the Richter's magnitude scale, Richter's scale, and the Gutenberg-Richter scale, was created by Charles Francis Richter and first published in his seminal 1935 paper under the name "magnitude scale." Charles Richter created the base-10 logarithmic Richter scale in the 1930s.
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Uppoe an individual' retirement account with a balance of $165,000 i Tranferred to a new invetment plan that pay 8% interet compounded annually. How much will the account be worth after 3 year?
The account will be worth $215,958.88 after 3 years.
Retirement Savings Interest CalculationThe account will be worth $215,958.88 after 3 years. This can be calculated by using the formula: A = P(1 + r/n)^(nt) where A is the final amount, P is the initial principal (or balance) of $165,000, r is the annual interest rate of 8%, n is the number of times that interest is compounded per year (annually in this case, so n = 1), and t is the number of years the money is invested for (3 in this case).
Plugging these values into the formula: A = 165,000(1 + .08/1)^(1*3) = 215,958.88.
The subject you are asking about is called compound interest. Compound interest is a concept related to finance and economics. It is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is often used in personal finance, such as in savings and retirement accounts, as well as in business and investment contexts.
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Which of the following tables represents a linear relationship that is also proportional?
x −3 0 3
y −4 −2 0
x −2 0 2
y 0 3 6
x −3 0 3
y −4 −3 −2
x −3 0 3
y −2 0 2
The table representing a proportional relationship is given as follows:
x −3 0 3
y −2 0 2
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the definition, we get that a proportional relationship is a linear function with an intercept of zero, meaning that when x = 0, y = 0.
This means that the correct table is given by the last table, as for the other tables, y has values different of zero when x = 0.
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Answer: The answer is the last one D.
Step-by-step explanation:
URGENT!! PLEASE HELP I NEED IT RN THANKS!!
9. Reason Four sidewalks form two right triangles. Sidewalk A and Sidewalk B intersect
at a right angle. Sidewalk B extends 500 feet on either side of the intersection with
Sidewalk A. Sidewalk C and Sidewalk D start at the ends of Sidewalk B and intersect
Sidewalk A at the same point. Do you have enough information to prove that the two
right triangles are congruent? Explain your reasoning.
If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
How do you prove that two right triangles are congruent?Sidewalks must be at least 6.0 feet wide at the curb face or 5.0 feet wide if set back from the curb. The basic standards for people with impairments are not met by any width that is smaller. The social activity of walking.
500 feet must separate any two people in order for them to be able to stroll side by side. If the hypotenuse and one of the right triangle's sides equals the hypotenuse and the corresponding side of the second right-angled triangle, the two triangles are said to be congruent to one another.
The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles.
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Who designed first stamp of Pakistan?.
The First Postal Stamp of Pakistan was issued on 9th July, 1948, was designed by Abdul Rehman Cughtai and approved by Quaid-i-Azam on the occasion of the first Independence Day and was adjudged as one of the most beautiful stamps of the world.
Due to the lack of a local press, Pakistan's initial stamps were printed by Thomas De La Rue in London. In 1949, the Pakistan Security Printing Corporation was set up in Malir Halt, Karachi. The first set printed entirely by this press was the 1954 Seventh Anniversary issue.
Title: First Stamp of Pakistan
Creator: Abdul Rehman Cughtai
Date Created: 1948
Physical Location: State Bank Museum & Art Gallery
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If UV=x and TW=-x+99 what is the value of x?
If UV = x and TW = x+99 ,using triangle proportional theorem, then the value of x is 99
What is triangle proportional theorem?Triangle proportion theorem states that if a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
since TU = TS and S W = VW. This show that triangle SUV is an isosceles triangle
then TW / UV = 1/2
therefore x/-x+99 = 1/2
2x = -x+99
Collect like terms
2x- x = 99
x= 99
therefore the value of x is 99
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7. Nina Karas purchased a used car 3 years ago for $11,425.00. Its current
value is $6,897.00. Annual variable costs this year are gasoline, $2,524.90;
oil and filters, $145.21; new battery, $65.45; and transmission repair
$981.33. This year insurance cost $1,546.00, registration was $114.95, and
loan interest totaled $457.88. Nina drove 19,214 miles this year.
Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.
What is amount?Amount is a term that can be used to refer to a quantity or number of something. It is often used to refer to a sum of money, such as when people talk about the amount of money they make or owe. Amount can also be used to refer to a quantity of something, such as the amount of water in a tank or the amount of time it takes to do a task.
Nina Karas has experienced an overall decrease in the value of her car since she purchased it three years ago. Despite this, she has incurred a number of variable costs this year that have added up to a considerable sum. For example, she has spent $2,524.90 on gasoline, $145.21 on oil and filters, $65.45 on a new battery, and $981.33 on transmission repairs. Furthermore, Nina has paid $1,546.00 in insurance premiums, $114.95 for her registration, and $457.88 in loan interest. Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.
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A truth erum given to a ubject i known to be 91 percent reliable when the peron i guilty and 94 percent reliable when the peron i innocent
Truth serum has 91% accuracy when guilty, 94% accuracy when innocent, 6% false positive, 9% false negative.
What is percentange ?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%" (percent sign) and it's used to express a proportion or ratio. For example, if a student scored 80 out of 100 in an exam, the percentage score would be 80%, which means the student answered 80 out of 100 questions correctly.
A truth serum given to a subject is known to have a 91% reliability rate when the person is guilty and a 94% reliability rate when the person is innocent. This means that when the person is guilty, there is a 91% chance that the truth serum will indicate that the person is guilty, and a 9% chance of a false negative (indicating the person is innocent when they are guilty). Similarly, when the person is innocent, there is a 94% chance that the truth serum will indicate that the person is innocent, and a 6% chance of a false positive (indicating the person is guilty when they are innocent).
Truth serum has 91% accuracy when guilty, 94% accuracy when innocent, 6% false positive, 9% false negative.
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