The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?

Answers

Answer 1

Answer: The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17.

Answer 2

The z-score for an ACT score of 26 is 0.17.

What is z-score?

When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.

In a set with mean  and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ

How do you find z-score?

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

We need to find z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17

Learn more about z-score,

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Related Questions

HELP PLEASE



ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST

Answers

Answer:

HI, IG, GH

Step-by-step explanation:

First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.

7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?

Answers

9514 1404 393

Answer:

New York style: $14Chocolate Marble: $16

Step-by-step explanation:

We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...

  11n +7c = 266 . . . . . . . Rob's sale

  4n +14c = 280 . . . . . . Amy's sale

The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...

  (11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)

  9n = 126 . . . . . . simplify

  n = 14 . . . . . . . . divide by 9

Filling this into the first equation, we have ...

  11(14) +7c = 266

  7c = 112 . . . . . . . . subtract 154

  c = 16 . . . . . . . divide by 7

One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.

Please hurry!!!!!!!!!!!!!!!

Answers

Answer:

a -------> 4

b -------> -2

c -------> -1

d -------> -4

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

HIK and GFD,

Step-by-step explanation:

6. Write the formula of circumference
of a circle when its diameterld)
is given.​

Answers

Step-by-step explanation:

nl the way home now so I'm gonna get

Circumference = pi • diameter
C= (pi symbol)d

(I don’t have a pi symbol on here)

Which statement best describes the equation y = 4x^2? A. The equation does not represent a function. B. The equation represents a function, but not a linear function. C. The equation represents a linear function. D. The equation represents a line, but not a linear function.

Answers

Answer:

B. The equation represents a function, but not a linear function.

Step-by-step explanation:

Equation with x squared:

A equation in which the highest power of x is 2, that is, a term [tex]ax^2[/tex], is called a quadratic function.

In this question:

[tex]y = 4x^2[/tex] is a function.

However, since the highest power of x is 2, it is not a linear function, it is a quadratic function, and the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

If all dimensions of a rectangular prism are multiplied by 4, which statement is true?
A. The total surface area is multiplied by 64. The volume is multiplied by 16.
B. The total surface area is multiplied by 64. The volume is multiplied by 64.
C. The total surface area is multiplied by 16. The volume is multiplied by 64.
D. The total surface area is multiplied by 4. The volume is multiplied by 16.

No dam links

Answers

Answer:

Step-by-step explanation:

K

What is the value of the 3 in the number 738?

(please help )

Answers

30

Because the value of 7 is 700 and the value of 8 is 8

write the expression for 5 minus q

Answers

Answer:

5 - q

Step-by-step explanation:

the term minus indicates a sign of subtraction, which looks like this

-

Therefore, the expression is 5 - q

THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCH!!

Answers

Answer:

Step-by-step explanation:

diameter= 22 mm

Radius is half of diameter

r = 22/2 = 11mm

Area of circle = πr²

                      = 3.14 * 11*11

                      = 379.94 mm²

Answer:-

Given:-

Diameter (d) of circle = 22 mm

To Find:-

Area of circle.

Solution:-

Diameter (d) of circle = 22 mm (Given)

So, radius (r) of circle = [tex] \frac{d}{2} [/tex] = [tex] \frac{22}{2} [/tex] = 11 mm.

Now, we know,

Formula of Area of Circle is πr².

So, Area of Circle = [tex] \frac{22}{7} [/tex] × (11)²

Area of Circle = [tex] \frac{22}{7} [/tex] × 11 × 11

Area of Circle = [tex] \frac{22 \: × \: 11 \: × \: 11}{7} [/tex]

Area of Circle = [tex] \frac{2662}{7} [/tex]

Area of Circle = 380.29

Area of Circle is 380.29 sq mm. [Answer]

Speedy crawled 5/9 yards. Slimy crawled 4 times as far as speedy. How far did slimy crawl?​

Answers

Answer:

2 2/9 yards or 20/9 yards

Step-by-step explanation:

Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.

Surface area is always measured in square units. True False

Answers

Answer:

The answer is True.

Answer:

True

Step-by-step explanation:

Area is always measured in square units, also including surface area

If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe

Answers

Answer:

0.275

Step-by-step explanation:

1.25-0.975=0.275

See below
Answer: .1375

See explanation:


1.25-0.975=.275

Now since this gives you the difference between the outside diameter and the inside diameter it actual gives you 2 times the wall thickness. So we need to divide that by 2.

.275/2=.1375

So the wall thickness of the pipe is .1375

Please Classify ∠1 and ∠2 using all names that apply

Answers

Answer:

Supplimentery angles

If the sum of the measures of two angles is 180 degrees, then the angles are supplementary angles.

Answer:

∠1 & ∠2 are supplementary angles & they form a linear pair. (option D)

Plz help if correct ill give brailiest

Answers

Answer:

That first one is the answer

Answer:

the last one

Source : Trust me Bro

(its actually the last one)

what are the answer and processes? 5x-9=11

Answers

The answer is x=4

Hope this helps

Answer: x=4

Step-by-step explanation:

5x-9=11

5x=11+9

5x=20

X=4

i need help with this! pls pls

Answers

Answer:

x = 21 degrees

Angle KMH = 96 degrees

Step-by-step explanation:

The first question is what is x. To find that out the opposite angle of 4x is the same as x. That is 84 degrees. So take 84 and divide it by 4 you get 21.

x = 21 degrees.

The second question is what is the angel of KMH. A straight line is 180 degrees. If you take the 84 degrees and subtract it from 180 you will get what that angle equals. It equals 96 degrees.

what is 2x2+2i know the answer but you answer it

A. 1

B. 3

C.2

D.6​

Answers

The answer is D, 6 :)
D thats becuase if you do 2x2 it equals 4 and if you add 4 + 2= that'll be 6.

find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best

Answers

28 x 18 x 10
= 5040
L x W x H

The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base of 9 inches. What is the slant height?

Answers

S=20 inches
Hope this helps

Two dice are
thrown, what
is the probability that the sum
of the numbers is divisible by 5?​

Answers

Answer:

Step-by-step explanation:

Remark

Two results are divisible by 5.

The two are 5 and 10.

There are 36 possible outcomes when throwing 2 dice

Five

You can throw a 5 four different ways

4 - 1

1 - 4

2 - 3

3 - 2

Probability: 4/36

Ten

Ten can be thrown 3 different ways

5 - 5

6 - 4

4- 6

Probability : 3/36

Answer

The probability of a 5 or a 10 = 4/36 + 3/36 = 7/36

If you mean  something else, leave a note in the comment and I'll get back to this. Please leave something specific. It's wrong doesn't help me.

The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
A. 76 mph faster
B. 58 mph faster
C. 38 mph faster
D. 26 mph faster

Answers

Answer:

c 38

Step-by-step explanation:

i got it right on the quiz

Answer:

C

Step-by-step explanation:

how do you solve this problem
1/3 *3-3=4

Answers

This is PEMDAS as well as order of operations and or  parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.

No answer is -2 it is probably

Estimate the given rotation within 10 degrees:

Answers

Answer:

70∘

Step-by-step explanation:

Probability of dependent events
Espanol
A department store is holding a drawing to give away free shopping sprees. There are 9 customers who have entered the drawing: 4 live in the town of Gaston,
2 live in Pike, and 3 Ilve In Wells. Two winners will be selected at random. What is the probability that the first winner lives in Wells and the second lives in
Gaston? Write your answer as a fraction in simplest form.
0
$
2
Explanation
Check
2021 McGraw-Hill Education. All Rights Reserved Terms of Use | Privacy | Accessibility

Answers

Answer:

1/9

Step-by-step explanation:

Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
21 and 22 are complementary angles.
21 and 22 are supplementary angles.
21 and 22 are vertical angles
21 and 22 are acute angles

Answers

Answer:

angle 1 and angle 2 are supplementary angle

Answer: the answer is b

Step-by-step explanation:trust

LCM OF (2^3×3×5) and (3×5) is



(a)8
(b)120
(c)40
(d)180​

Answers

Answer:

120

Step-by-step explanation:

2³* 3 * 5

3*5

LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120

Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe. How many cups of milk does she have left over? A 1 cup B 3 cups С 4 cups D 8 cups​

Answers

Answer:

c

Step-by-step explanation:

this is because one quart is 4 cups and 4 quarts are one gallon. this means that if you use three quarts, you have one left over. one quart is the same as 4 cups

that "photo" is a danger to your device

One quart is the same as the 4 cups of milk she has leftover, the option C is the correct answer.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe.

1 gallon of milk = 1 quart of milk,

one quart is 4 cups and 4 quarts is one gallon which means that if you use three quarts, you have one leftover.

one quart is the same as 4 cups.

Learn more about the unitary method;

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What is the greatest common factor of the numerator and denominator in the expression: 6x+2x^2/9x^2+3x^3?

A. 3+x
B. 3x+x^2
C. x
D. 2/3x

Answers

Answer:

A)  3+x

Step-by-step explanation:

6x + 2x² / 9x² + 3x³

2x(3 + x) / 3x²(3 + x)

What is the value of x in the figure shown below?

Answers

The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same

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