The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. if in the last game he made 77 assists, how many standard deviations is that from the mean? 1.36 standard deviations below the mean 2.71 standard deviations above the mean 1.36 standard deviations above the mean 2.71 standard deviations below the mean

Answers

Answer 1

Given that mean=58
standard deviation=7
thus
77 is (77-58)=18 away from 58
This will be:
19/7=2.71

standard deviations from the mean.

Answer: 2.71 standard deviations above the mean

Answer 2

Answer:

(B)

Step-by-step explanation:

It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.

Also, in the last game he made 77 assists, therefore

[tex]77-58=19[/tex] assists away from the mean.

Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substituting the given values, we get

[tex]z=\frac{77-58}{7}[/tex]

[tex]z=\frac{19}{7}[/tex]

[tex]z=2.71[/tex]

Thus, there are 2.71 standard deviations above the mean.

Hence, option B is correct.

Related Questions

Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)

Answers

For this case we must find the set of ordered pairs that form an exponential function.

When observing, the last set of ordered pairs is an exponential function of the form:

[tex]y = 3 ^ x[/tex]

For x = 0:

[tex]y = 3 ^ 0 = 1[/tex]

We have the ordered pair:

[tex](x, y): (0, 1)[/tex]

For x = 1:

[tex]y = 3 ^ 1 = 3[/tex]

We have the ordered pair:

[tex](x, y): (1, 3)[/tex]

For x = 2:

[tex]y = 3 ^ 2 = 9[/tex]

We have the ordered pair:

[tex](x, y): (2, 9)[/tex]

For x = 3:

[tex]y = 3 ^ 3 = 27[/tex]

We have the ordered pair:

[tex](x, y): (3, 27)[/tex]

Answer:

The set of ordered pairs that form an exponential function is:

[tex](0, 1), (1, 3), (2, 9), (3, 27)[/tex]

Answer:

Step-by-step explanation:

What is the value of b?

Answers

Look at the picture.

d° + c° = 2 · 68° = 136°

b° = 360° - (136° + 104°) = 360° - 240° = 120°

what is the surface area of this triangular pyramid

Answers

Equilateral Triangle Height = side * square root (3) / 2 =

12 * 0.8660254038 = 10.3923048454

Triangle Area = 12 * 10.3923048454 * .5

= 62.3538290724

Pyramid Area = 62.3538290724 * 4 sides =

249.4153162896

What is the area of the figure to the nearest tenth?

Answers

Area of circle = πr²

Area of the full circle = π (6)² = 36π

Area of the sector = 165/360 x 36π = 51.8 in²

Answer: 51.8 in²

area of full circle with a radius of 6 in = PI x 6^2

3.14 x 36 = 113.04 square inches

the shape is 165 degrees of a full circle which is 360 degrees

so area of the shape would be 165/360 x 113.04

= 51.8 square inches

The population of a town is 20,000 and is decreasing at a rate of 5% per year. What is the population after 23 years?

Answers

I believe the answer should be approximately 6,147 because you would plug into the equation y=20,000(.95)^t, where t=23.

Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally?

Answers

The answer would be

1. (582.85 - 64)/p Or D

And

2. 64.85 Or A

The expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

What is division?

Division is a operation in mathematics which is used to divide a specific number into equal parts of specific magnitude.

Given is Daniel’s tennis team which made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.

Assume that there are [x] players in the team.

Now, the money left after spending on food = 582.85 - 64 = 518.85

Each player, when divided equally, would receive = y = (518.85/x)

Therefore, the expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).

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The frequency of F3 is 174.61 Hz. What is the frequency of the note that is a perfect fifth below f3?
A) 43.6525 Hz
B) 87.305 Hz
C) 116.407 Hz
D) 261.915 Hz

Answers

Notes separated by a perfect 5th have a frequency ratio of 3:2. The note a perfect 5th below f3 will have a frequency of
174.61 Hz × 2/3 = 116.407 Hz

The appropriate choice is ...
C) 116.407 Hz

Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)?
Explain the process you used (in words) and include the work you did to find this answer.

Answers

This would be a 90° arc.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

What is 3 to the 100th power?

Answers

Final answer:

3 to the 100th power is a very large number with over 47 digits, symbolizing the potential of exponential growth.

Explanation:

The question is asking for the computation of the number 3 raised to the 100th power. In mathematics, exponents are used in expressions such as 'a to the power of n', written as an. Here, 'a' is the base and 'n' is the exponent, indicating how many times 'a' is multiplied by itself.

In our case, we have '3' as the base and '100' as the exponent. However, calculating 3100 directly is quite impractical due to the vast result it produces. However, we do know that it's a very large (over 47 digits!) number which could be useful for illustrating the power of exponential growth in mathematical or scientific contexts.

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Which of the following is an undefined term?
Angle
Circle
Plane
Ray

Answers

I think it would be C.plane... I had this question a while ago and I think its right... plz tell me if I am wrong. Thanks.

Answer:

Plane is an undefined plane

Step-by-step explanation:

Hi, there are three undefined terms in geometry: point, line, and plane.

Point: has no size, only location . It can be named with a capital letter.

Plane: a flat surface that has no thickness, that extends infinitely n every direction. Is named by a single letter or by three coplanar, but non-collinear, points.

Line: Set of points extending in either direction infinitely.

Angle, circle, and ray are not undefined terms. are not Plane.

In this triangle, side AT = 24. Please give the value for the sine, cosine, and tangent for this diagram (Which is the marked angle?). Give the value as a ratio ONLY. Make sure all ratios are in the lowest form.

Be sure to explain IN WRITING how you find sine, cosine, and tangent! If you are not sure, check the directions in this problem!

Question 1 options:

Answers

The value of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25

b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25

Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24

Which of the following types of equations have you learned to solve using algebraic methods?
[]Quadratic[]Exponential[]Radical[]Linear[]Rational

Answers

The following types of equations have you learned to solve using algebraic methods is Linear.

Quadratic equations involve a variable raised to the power of 2, and algebraic methods like factoring or using the quadratic formula are used for solving.

Exponential equations involve variables in the exponent, and logarithmic methods are employed to solve them.

Radical equations involve roots, and solving them often involves isolating the radical and squaring both sides or other methods based on the root's degree.

Linear equations involve variables raised to the power of 1, and solving them uses standard algebraic techniques like isolating the variable.

Rational equations involve ratios of polynomials and are solved by methods such as clearing denominators and factoring.

multiply and simplify. 5x^2 / y^3 * 4y^2 / 10x

Answers

For this case we have the following expression:
[tex] \frac{5x^2}{y^3} * \frac{4y^2}{10x} [/tex]
Rewriting the expression we have:
[tex]\frac{20x^2y^2}{10xy^3} [/tex]
Then, simplifying and by properties of exponents we have:
[tex]{2x^{2-1}y^{2-3}} {2xy^{-1}}[/tex]
Rewriting we have::
[tex] \frac{2x}{y} [/tex]
Answer:
The simplified expression is given by:
[tex] \frac{2x}{y} [/tex]

Share 450 in the ratio of 4:5

Answers

Let's represent the ratio in variable form:
4n + 5n = 450
9n = 450
n = 50
Now we multiply into the ratio:
200:250
Or
200 and 250

4 : 5 → 4 + 5 = 9

450 : 9 = 50

4 · 50 = 200
5 · 50 = 250

Answer: 200 and 250.

If 7 is subtracted from the product of 3 and a number, the result is 5 more than the number.

Answers

If you subtract 3-7 and add 9 to it the result is 5. 3-7+9=5

which transformation can verify congruence by flipping a triangle over the y-axis?

A. Dilation
B. Translation
C. Reflection
D. Rotation

Answers

Reflection. Reflection is when you flip an object over an axis. Flipping the triangle over axis wouldn't change the triangles properties.

Answer: C. Reflection

Step-by-step explanation:

There are three rigid transformations which create congruent figures :

a)reflections, b) rotations, c) translations

A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.

A translation moves a shapes by a particular distance.

A rotation rotates a shape around a fix point by an angle .

Therefore, the transformation can verify congruence by flipping a triangle over the y-axis is reflection.

A train travels at a constant speed. What is the train's speed between checkpoints, expressed as a unit rate? Use the information given in the picture to help you.

Answers

Remember that the speed is the rate of change of the position with respect to time, so to solve this we are going to use the kinematic equation: [tex]S= \frac{d_{f}-d_{i}}{t_{f}-t_{i}} [/tex]
where
[tex]S[/tex] is the speed of the train
[tex]d_{i}[/tex] is the initial distance
[tex]d_{f}[/tex] is the final distance
[tex]t_{i}[/tex] is the initial time
[tex]t_{f}[/tex] is the final time

Since checkpoint A is the initial checkpoint, we can infer that [tex]d_{i}=105[/tex] and [tex]t_{i}=2[/tex]. Similarly, since checkpoint B is the final checkpoint, we can infer that [tex]d_{f}=285[/tex] and [tex]t_{f}=5[/tex]. Lets replace the values in our kinematic euation:
[tex]S= \frac{d_{f}-d_{i}}{t_{f}-t_{i}} [/tex]
[tex]S= \frac{285-105}{5-2} [/tex]
[tex]S= \frac{180}{3} [/tex]
[tex]S=60[/tex] mph

We can conclude that the train's speed between checkpoints is 60 mph.

the checkpoints is 60 mph if you have any questions just ask:)

Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.

Answers

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.

Coordinate geometry proofs employ the use of formulas such as the Slope Formula, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definitions.

The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .

The facilitate verification is a proof of a geometric hypothesis which utilizes "summed up" indicates on the Cartesian Plane make a contention.

The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations .

For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem , which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.

Final answer:

The coordinate plane is an essential tool in geometry, allowing for a visual representation of shapes and aiding in geometric proofs, such as the Pythagorean Theorem. It allows abstract geometric concepts to be more concrete and easier to understand.

Explanation:

The coordinate plane is a pivotal instrument in the field of Mathematics for conducting geometric proofs. The coordinate plane enables us to visually represent geometric shapes and articulate the different points, distances, and areas which helps us in proving geometric theorems and statements.

For instance, the Pythagorean Theorem, a fundamental theorem in Geometry can be illustrated efficiently and proven right on the coordinate plane. By placing a right-angled triangle on the coordinate plane, the lengths of the sides can be calculated using the coordinates of the vertices. Then, by applying the theorem, we can demonstrate that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Overall, the coordinate plane provides a graphical representation of the geometric shapes, making the abstract ideas more concrete and easier to understand, thus aiding in geometric proofs.

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Find the inverse function of h(x) = - 2/3x + 6.

h -1(x) = -3/2x + 9
h -1(x) = -3/2x - 6
h -1(x) = -2/3x + 9
h -1(x) = -2/3x - 6

Answers

let y=h-1(x) and lastly, find y

Solve each of the following right triangles. Round angle measures to the nearest degree and segment lengths to the nearest tenth. Angle C is the right angle of the triangle

Answers

6. C=67
AC=23.
BA=55.2

Twenty different statistics students are randomly selected. for each of them, their body temperature ( degrees °c) is measured and their head circumference (cm) is measured. if it is found that r=0, does that indicate that there is no association between these two variables?

Answers

The letter r represents the sample correlation coefficient .The Pearson product-moment correlation coefficient, also known as r, R, or Pearson's r, is a measure of the strength and direction of the linear relationship between two variables that is defined as the covariance of the variables divided by the product of their standard deviations.

The sample correlation coefficient value r is 0 given,so there is no linear relationship between the 2 variables that is the body temperature and head circumference.

A feed bucket holds 12 quarts. How many cups of feed does the bucket hold?

Answers

5 i think im not sure

1 quart = 4 cups
12 quarts x 4 (cups per quart) = 48 Cups

Helllllppppp MEEEEEEE

Answers

To find the distance the player runs, we have to use pythagorean formula, which is

[tex] a^2 + b^2 = c^2 [/tex]

In the question , value of a is 64 meters and value of b is 100 meters .

Substituting the values of a and b , we will get'

[tex] 64^2 +100^2=c^2
\\
c^2 = 14096
\\
c = 119meters [/tex]

WILL GIVE BRAINLIEST PLZ HURRY!!!!!!!!Woodland High School recently won the state Academic Bowl Championship. The medal counts for the 7 members of the team are listed in the table. Which statement is true about the data shown in the table?
A) The range is less than the mode.
B) The mode is greater than the median.
C) The mean is greater than the median.
D) The median is greater than the mode.

Answers

Answer: B = The range is greater than the mean.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is greater than the median

Please help me I’m about to cry

Answers

The reflections will be as shown in the attached figure:
A-Blue
B-Green
C=yellow
D=Grey
E=maroon
Triangle E is not the same as triangle C. This means she was wrong.

Please refer to the attached figure for the drawings, the colors represent the triangles in the order above.

A rectangle has a length of 4 feet and a perimeter of 14 feet. what is the perimeter of a similar rectangle with a width of 9 feet?
a. 36 ft
b. 108 ft
c. 42 ft
d. 126 ft

Answers

First Rectangle: P= 14; L= 4, W= ?
Second Rectangle: P= ?, L= ?, W= 9

STEP 1:
solve for the width in the first rectangle using perimeter formula

Perimeter= 2L + 2W
14= 2(4) + 2W

14= 8 + 2W
subtract 8 from both sides

6= 2W
divide both sides by 2

3= W

STEP 2:
Since the two rectangles are similar, they may be different sizes, but they have corresponding angles. We can set up a ratio to compare width and length.

First Rectangle: P= 14, L= 4, W= 3
Second Rectangle: L= ?, W= 9

length/width= length/width
4/3= L/9

cross multiply
4 * 9= 3 * L

36= 3L
divide both sides by 3

12= L

STEP 3:
find perimeter of second rectangle; use length from step 2

Perimeter= 2L + 2W
=2(12) + 2(9)
=24 + 18
=42 feet

ANSWER: (C) 42 feet

Hope this helps! :)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18

Comment
Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola.

Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.

Second thing: the question is trying to see if you can read all he information you need from a graph.

Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept

The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4

This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4 Divide by 4
-4/4 = m
m = - 1

Complete equation is y = -1x + 4
The inequality is y > -x + 4 Top answer block.

Step Two
Find the equation for the parabola

You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.

y = (x - 1)^2 - 18 is the basic vertex solution

Step Three
Find the value of a in
y = a(x - 1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work.

y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 = a(1) - 18
-16 = a - 18 Add 18 to both sides.
2 = a

So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.

Maria works at a bookstore. On Wednesday, she sold three times as many books as she did on Tuesday. On Thursday, she sold 8 fewer books than she did on Wednesday. During the three days, Maria sold 20 books. Create an equation that can be used to find m, the number of books Maria sold on Tuesday.

Answers

To write an equation to show how many books Maria sold on Tuesday, you will write an equation for each day.

Tuesday - m
Wednesday - 3m
Thursday - 3m - 8

Show all of these in an addition problem with a total of 20 and simplify.

m + 3m + (3m - 8) = 20

7m - 8 = 20; You can solve this equation to find the number of books Maria read.

There are five red marbles eight blue marbles and 12 Green marbles in a bag. What is the theoretical probability of randomly drawing a red marble and then a green marble

Answers

you do add den you get30

Find the area of the following rectangle in square feet. 44 ft 2 11 ft 2 14.7 ft 2 132 ft 2

Answers

the picture in the attached figure

we know that
area of rectangle=base*height
in this problem
base is 22 ft
height is 2 yd

convert yd to ft
1 yd is equal to 3 ft
2 yd--------> 2*3-----> 6 ft

area of rectangle=22*6-----> 132 ft²

the answer is
132 ft²

Answer:

132

Step-by-step explanation:

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Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percent- ages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. what is the four-firm concentration ratio of the hamburger industry in this town Which pair of words correctly completes this sentence? Los ________ y las _________ son plantas que crecen en un clima tropical. tiburones, manglares algas, tortugas manglares, palmeras peces, algas which statement about two main themes in the first movement of Mozart's symphony NO. 40 in G minor is correct? A.Theme 1 contains scalesB.theme 1 is a minor key;theme 2 is in a major keyC.theme 2 is introduced in theme 1D.theme 1 is in a major key;theme 2 is in a minor key Menstrual flow results in the discharge of select one:a. the follicle.b. the corpus luteum.c. the endometrial lining of the uterus.d. surface cells from the vagina.e. blood from the blood vessels on the outer surface of the uterus. A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number? which is a characteristic of a person with a positive mental well-being? Around the around the 13th century which Asian Nation had a similar feudal system to that of Western Europe How does Jekyll's attitude toward his dual personality change as he uses the drug more often? Given the reaction that occurs in an electrochemical cell: zn(s) + cuso4(aq) znso4(aq) + cu(s) during this reaction, the oxidation number of zn changes from What do managers use to ensure a consistent approach to reaching the organization's goals With financial planning, you can protect your finances from the negative effects of ____. Automobiles cause air pollution when they burn gasoline. Laws have been passed to make automobile manufacturers limit the amount of pollution released from automobiles. Which act or organization was MOST LIKELY responsible for these laws? Which sentence is punctuated correctly? Where did you put my socks Mom? The energy that is available to do work in a reaction is called Nickel is a common ferromagnetic material. t/f The MacArthur Constitution stated that was _________ not a natural right of the Japanese. What are silicates? what are silicates? silicates are extended arrays of silicon and nitrogen. they are the most common network covalent atomic solids. silicates are extended arrays of sulfur and oxygen. they are the most common network covalent atomic solids. silicates are extended arrays of silicon and oxygen. they are the most common network covalent atomic solids. silicates are extended arrays of silicon and oxygen. they are the least common network ionic atomic solids? The line plots shows the number of hours two different age groups of teenagers spent online the previous week.Select from the drop-down menus to complete each statement.The range is? is the same for both is greater for data set 1 is greater for data set 2The mean? is the same for both is greater for data set 1 is greater for data set 2 In the Line "Hands that mocked them", whose hands in it referring to? A) The TravelerB) The SculptorC) OzymandiasD) A Man Which condition can cause a population crash?