Standardized tests: In a particular year, the mean score on the ACT test was 20.4 and the standard deviation was 3.7. The mean score on the SAT mathematics test was 492 and the standard deviation was 123. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 (a) Find the z-score for an ACT score of 26. The z-score for an ACT score of 26 is .

Answers

Answer 1

Answer:

1.51

Step-by-step explanation:

Given that :

ACT Mean score (m) = 20.4

ACT standard deviation (σ) = 3.7

The Zscore for an ACT score of 26:

Zscore = (score - mean) / standard deviation

Zscore = (26 - 20.4) / 3.7

Zscore = 5.6 / 3.7

Zscore = 1.5135135

Zscore = 1.51 (2 decimal places)


Related Questions

HELP ME PLEASE 40 POINTS!!!!!!!

Answers

Answer:

The answer is The first one -10/27

Answer:

A

Step-by-step explanation:

Slope -2/3 through (-9,10)

Answers

Answer:

y  =  − 2 /3 x  + 4

Step-by-step explanation:

Answer: y=-2/3x + 4

Step-by-step explanation:

Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

50 minutes

Step-by-step explanation:

First set up an inequality to find you answer like

800 - 6x = 1000 - 10x

then subtract 800 from both sides leaving you with

-6x = 200 - 10 x

Then add 10 x to both sides giving you

4x = 200

The simplify from here by dividing 200 by 4

200/4 = 50 giving you your answer

What does a temperature of what does a temperature of 9°C mean?
Choose the best answer.
✓ Choose...
The Celsius temperature is 9 degrees above zero.
The Celsius temperature is zero.
The Celsius temperature is 9 degrees below zero.

Answers

Answer:

I think it the first answer

Step-by-step explanation:

Im not positive but hope that right

Plz help this is a quick question

Answers

Answer:

No it is the ticked one........

Hope it helps.......

f(x)=1/3(4-x)^2 ................

Answers

No I am not answering just for the points but what is the x value?

Calculus please help me

Answers

(1) f(x) = (1 - x³) / (x - 1)

(a) The domain is the set of values that this function can take on. If x = 1, the denominator becomes 0 and the function is undefined. Any other value of x is okay, though, since for x ≠ 1, we have

f(x) = (1 - x³) / (x - 1) = - (1 - x³) / (1 - x) = -(x² + x + 1)

which is defined for all x. This also tells us that the plot of f(x) is a parabola with a hole at x = 1. So, the domain is the interval (-∞, 1) ∪ (1, ∞).

(b) The range is the set of values that the function actually does take on. Taking the simplified version of f(x), we can complete the square to write

-(x² + x + 1) = -(x² + x + 1/4 - 1/4) - 1 = -(x + 1/2)² - 3/4

which is represented by a parabola that opens downward, with a maximum value of -3/4. So the range is the interval (-∞, -3/4).

(c) Judging by the plot of f, the limits at both negative and positive infinity are -∞.

(d) Same answer as part (a).

(2) f(x) = x³ - x

(a) The derivative of f at x = 3, and hence the slope of the tangent line to this point, is

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{f(3+h)-f(3)}h[/tex]

[tex]f'(3)\displaystyle=\lim_{h\to0}\frac{((3+h)^3-(3+h))-24}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{(27+27h+9h^2+h^3)-(3+h)-24}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{26h+9h^2+h^3}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}(26+9h+h^2)=\boxed{26}[/tex]

(b) The tangent line at x = 3 has equation

y - f (3) = f ' (3) (x - 3)

y - 24 = 26 (x - 3)

y = 26 x - 54

We also want to find any other tangent lines parallel to this one, which requires finding all x for which f '(x) = 26. We could use the same limit definition as in part (a), but to save time, we exploit the power rule to get

f '(x) = 3 x² - 1

Then solve for when this is equal to 26:

3 x² - 1 = 26   ==>   x² = 9   ==>   x = ±3

The other tangent line occurs at x = -3, for which we have f (-3) = -24, and so the equation for the tangent is

y - f (-3) = 26 (x - (-3))

y + 24 = 26 (x + 3)

y = 26 x + 54

New help math please I am stuck

Answers

Answer: Can u post a question?

Step-by-step explanation:

2+2=4 because 2 fingers and then another 2 fingers

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes? That's right. ummmm lol

The length of a rectangle is 2 times the width. If the perimeter is to be less than 96 meters. What are the possible

values for the width? (Use w as the width)

Preview

TIP

Enter your answer using inequality notation. Example: 3 <=w<4

Use or to combine intervals. Example: w< 2 or w >= 3

Enter all real numbers for solutions of that type

Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,

5+4)

Enter DNE for an empty set. Use oo to enter Infinity.

Answers

Answer:

W>16

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle:

P = 2L+2W

L is the length of the rectangle

W is the width of the rectangle:

Given

P = 96m

If the length of a rectangle is 2 times the width, then L = 2W

Substitute into the formula:

Since the perimeter is less than 96m

96 < 2(2W)+2W

96 < 4W+2W

96 < 6W

Divide both sides by 6:

96/6 < 6W/6

16 < W

W>16

Hence the possible values of the width are all values greater than 16.

Complete the sentence. |-0.05| =

Answers

Answer:

|0.05|

Step-by-step explanation:

no absolute value can be negative

Answer:

0.05

Step-by-step explanation:

The lines outside the number mean absolute value. The absolute value of a number is how far it is from 0, so it's always positive. Basically, you just swap the sign of whatever number you are looking at. In this case, absolute value of -0.05 would simply be 0.05. Hope this helped!

Customer bill is $333.00 20% from bill is?

Answers

Answer:

$16.65

Step-by-step explanation:

333.00 divided by 0.20

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain View Park today, 72 had a license, and 18 did not. (No one fished at both parks.)Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license?

Answers

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

X = a fisher at Clearwater Park had a fishing license

Y = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

[tex]P(X'\cap Y)=P(X')\times P(Y)[/tex]

                 [tex]=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32[/tex]

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?

Answers

Answer:

jessie: 14.5

ben: 10.5

y = -(x + 5)2-1
Find vertex

Answers

Answer:

The vertex is (-5, -1)

Step-by-step explanation:

Standard vertex form is a(x - b)^2 + c where (b, c) is the vertex.

A small school with 606060 total students records how many of their students attend school on each of the 180180180 days in a school year. The mean number of students in attendance daily is 555555 students and the standard deviation is 444 students. Suppose that we take random samples of 555 school days and calculate the mean number of students \bar x x ˉ x, with, \bar, on top in attendance on those days in each sample.

Answers

Answer: 180,842,239

Step-by-step explanation:

Answer:

55

1.8

Step-by-step explanation:

Khanacademy

For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.

Answers

Answer:

First, let's write our equation in a general way.

We know that:

1 cubic foot weighs 80 pounds.

The container weighs 40 pounds.

Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.

We can write this as:

w(n) = 40lb + n*80lb

This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.

You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.

Answer

ok, Just plot the points at (0,40) and (2,200) :))

HELP IM GIVING BRAINLIEST

Answers

Answer:

AB, BC, AC

Step-by-step explanation:

Hopefully I helped!! :)

The answer is option B

A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month

Answers

Answer:

she uses 72 gallons

Step-by-step explanation:

just do 144/2 and the answer is 72

if you wanna check your answer just do 72x2 and it equals 144

72 galloons because 144 divided by 2 which is the price per gallon then it is 72

Read the situations below and determine which relationship is not functional.


Situation 1: a cell phone bill to the amount of minutes used


Situation 2: the perimeter of a square to the length of one of the sides of a square


Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned

Answers

Answer:

Situation 3 is not functional

Step-by-step explanation:

Here, we want to determine if there exists a functional relationship between the properties in each situation.

For there to exist a functional relationship, then one of the factors in the situation must be dependent on the other factor in the situation.

Let us consider the situations individually now;

Situation 1

There exists a functional relationship here. This is because the higher the minutes used, the higher the cell phone bill and the lower the minutes used, the lower the cell phone bill. This is because there exists a fixed rate of charge per minute

Situation 2

There exists a functional relationship here too.

This is because, the we cannot find the perimeter of the square without knowing the measure of the sides of the square. That is why there is a mathematical formula that links the perimeter of the square to the sides of the square.

In a case where we have the perimeter as P and the sides as L

Then the functional equation linking both is;

P(l ) = 4 L

Situation 3;

There is no functional relationship here. The amount owed per each credit card is tied to the credit card in question.

There is no way the total amount owed by a person is distributed across the number of credit cards the person have. Each credit card has its own money charged on it monthly due to the activities on it which is independent on the activities of the other credit cards

Please help!!!!!! If the measure of angle 8 is 35 what is the measure of angle 4?

Answers

Answer:

35

Step-by-step explanation:

Comman knowlege. Also there is a fancy name for them because thay are the same way... Corresponding Angles

Answer:

35 degrees

Step-by-step explanation:

It is congruent to 8 and lined up so it is also 35 degrees.

the measure of an angle is 126.6 what is the measure of its supplementary angle

Answers

Answer:

The answer is 53.4°

Step-by-step explanation:

Let the measure of its supplementary angle be x

Since they are supplementary , it means that the sum of their angles add up to 180°.

To find x add up subtract 126.6 from 180

We have

x = 180 - 126.6

We have the final answer as

53.4°

Hope this helps you

The lowest point in New Orleans is 8 feet below sea

level. You can represent that numerically using



The highest point in Chicago is 735 feet above sea

level. You can represent that numerically using

Answers

Answer:

[tex]-8,+735[/tex]

Step-by-step explanation:

The lowest point in New Orleans is 8 feet below sea  level.

This can be represented numerically using [tex]-8[/tex]

(negative sign denotes below sea level)

The highest point in Chicago is 735 feet above sea  level.

This can be represented numerically using [tex]+735[/tex]

(positive sign denotes above sea level)

Answer:

This is correct but if some people are confused it’s a negative integer and a positive integer

Step-by-step explanation:

Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?

Answers

Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

Help I’m stuck and confused

Answers

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

Find FH. please and thank you :)

Answers

Answer:

[tex]22[/tex]

Step-by-step explanation:

If FG= 8

and GH=14

G is a midpoint

To find FH you would add 8 and 14.

[tex]8 + 14 = 22[/tex]

Answer:

add it FH +GH

=8+14

=22 ans.....

8 groups of ___ hundredths is 0.32

Answers

Answer:

the answer is 0.4 The reason is because 0.4 x8=0.32

Step-by-step explanation:

Each morning, Jessica's mom drives 3.85 miles to take Jessica to school, then 4.9 miles to work. How many miles does
Jessica's mom drive each morning? Explain how you solved the problem.

Answers

i believe the answer is 17.5 i'm not sure though

The Washington monument is 555 feet 5 1/8 inches tall and weighs 90,854 tons. The monument is topped by an aluminum square pyramid. The sides of the pyramid’s base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base.

Answers

Answer:

3.2

Step-by-step explanation:

Imagine a straight line from the top of the pyramid to the base, the point where the line will meet the base will be half the side of the pyramid. This will form a right angles triangle.

Slope is given by

[tex]\text{Slope}=\dfrac{\Delta y}{\Delta x}\\\Rightarrow \text{Slope}=\dfrac{8.9}{\dfrac{5.6}{2}}=3.17857\\\Rightarrow \text{Slope}\approx3.2[/tex]

The slope of the face of the pyramid is 3.2

(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)

Answers

Answer:1

Step-by-step explanation:6-5/3-2=1/1

Other Questions
7(3-x) 5x-15 solve for x Challenge An arts academy requires there to be 3 teachers for every 51 students and 5 tutors forevery 55 students. How many students does the academy have per teacher? Per tutor? How manytutors does the academy need if it has 88 students?The academy has students per teacher. Energy in ATP is stored between What does White Fang consider the Law of Meat?Part 2 of White Fang book I GIVE U BRAINLIST Emily studied people in her school and determined that 75 out of 100 people in her grade could roll their tongues. If there are 1,200 people inher neighborhood, predict how many of them can roll their tongues.people PLEASE ANSWER IMMEDIATELY ITS FOR AN IMPORTANT PAPER THATS DUE SOON ! A mug contains 20 fluid ounces of coffee.How many pints of coffee does the mug contain?Enter your answer as a decimal in the box. Read this excerpt from The Outsiders.What is the theme of this excerpt?I'm different that way. I mean, my second-oldestbrother, Soda, who is sixteen-going-on-seventeen,never cracks a book at all, and my oldest brother,Darrel, who we call Darry, works too long and hard tobe interested in a story or drawing a picture, so I'm notlike them. And nobody in our gang digs movies andbooks the way I do. For a while there, I thought I wasthe only person in the world that did.O Being part of a team is meaningful.O Growing up means accepting oneself.O Nature teaches powerful life lessons.O Family traditions are important. Why would an American Indian chief in Indian Territory fear joint statehood?A. Joint statehood would lead to more loss of sovereignty for American Indians.B. Joint statehood would cause American Indians to be forced out of Oklahoma.C. Joint statehood would cause the American military to harass American Indians.D. Joint statehood would lead to a lowering of tensions between mutual enemies. how did the magnetic compass help the age of discovery ? a ) it assisted sailors in finding direction b ) it helped sailors measure wind speed in the ocean c ) it helped sailors find the sun, moon, and stars to negative d ) it made finding ocean currents more efficient 4Select the correct answer.Which of these absolute values is the greatest?OA.| 1401OB.|-1041O C. 1041D. |-2041ResetNext i don't know why but i just can't complete this question. please help :) write an equation and use it to find the value of x will mark brainiest this one is tricky for me But far away in Africa the magician remembered Aladdin, and by his magic arts discovered that Aladdin, instead of perishing miserably in the cave, had escaped, and had married a princess, with whom he was living in great honour and wealth. He knew that the poor tailor's son could only have accomplished this by means of the lamp, and travelled night and day till he reached the capital of China, bent on Aladdin's ruin. . . . He was determined to get hold of the lamp, and again plunge Aladdin into the deepest poverty. A. the magicianB.AladdinC. the princessD. the tailor Does a flower have a simple or complex structure The circumference of a circle is 25 m. What is the area, in square meters? Express your answer in terms of \pi. Write an absolute value function that has its vertex at (-3, 4), opens down, and has slopes of 2 and -2. Hypertonic solutions have high solute and low water compared to another solution.TrueFalse What are the 2 seismic waves?AD and SBT and SCP and SDP and T HELP I ONLY HAVE 10 MINUTES PLEASE!!Which statement most accurately describes The Communist Manifesto?It was a description of the many benefits brought to modern life by industrialization.O It was a publication describing the upbringing and education of Karl Marx.O It was a description of the class struggle and the problems caused by capitalism.O It was a criticism that pointed out the cruelties of the communist system.