The combined SAT scores for the students at a local high school are normally distributed with a mean of 1527 and a standard deviation of 295. The local college includes a minimum score of 1380 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement

Answers

Answer 1

Answer:

69.15% of students from this school earn scores that satisfy the admission requirement.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 1527 and a standard deviation of 295.

This means that [tex]\mu = 1527, \sigma = 295[/tex]

The local college includes a minimum score of 1380 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

The proportion is 1 subtracted by the pvalue of Z when X = 1380. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1380 - 1527}{295}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.3085

1 - 0.3085 = 0.6915

0.6915*100% = 69.15%

69.15% of students from this school earn scores that satisfy the admission requirement.


Related Questions

What does congruent mean in mathematics

Answers

Answer:

same shape and size

Step-by-step explanation:

Answer:

Similarity in my opinion

Which of the expressions shown has a GCF of 5ab^2 with 15ab^3?

A. 30ab^2

B.30a^2b^5

C. 25ab^2

D. 5ab^2​

Answers

Answer:

The greatest common factor of 5ab^2 and 15ab^3 is 5ab^2

The greatest common factor between the two expressions will be 5ab²

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Here the two numbers are:-

5ab² and 15ab³ or 5ab² and 5ab² x b

So we can see that the highest common factor between the two numbers will be  5ab².

To know more about the greatest common factor follow

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If y=1/4x and x=-12, find y.

Answers

Answer:

-3 I believe

Step-by-step explanation:

why dose the answer have to be 20+ letters

Answer:

-3

Step-by-step explanation:

To find y, plug in -12 for x in the y=1/4x equation. Multiply -12 by 1/4 (or divide -12 by 4) and you get -3.

Select all the equations where r 3 is a solution.​

Answers

Answer:

The right answers are 1,4 and 6

Answer:

x-3 =0

6=2x

x^2 = 9

Step-by-step explanation:

substitute the values, and you will get the answer!

have a great day!!

PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)

Answers

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where
x>1?

Answers

Answer:

(8.50x + 2000)/x and x>1

Step-by-step explanation:

Well, this may not be the exact answer, as it seems you have the choices unlisted--if they even exist at all. But, I'll make do with what I've provided, so

In the question, it says the collective cost for each individual bolt is $8.50, and that we can use the variable x to represent the number of bolts the company wishes to produce. So, this can be shown using 8.50x.

The fixed cost is set in stone, so no alterations need to be applied, and only cause the total to amount to a greater number. So, we end up with (8.50x + 2000)/x and x>1 is the rule for the values of x. Essentially, all that means is that the company will always produce more than one bolt.

HALLPPP DUE TODAY!!!! I RLLY NEED THIS DONE ASAP!! PLS AND THANK YOU!!!!
Find the compound interest
Principal: $750
Interest Rate: 6% or 0.06 Time: 2 years

Answers

Answer:92.7

Step-by-step explanation:

Use the compound interst formula: A= P(1+r)^n

750(1+.06)^2=842.7

Now substract the principal to find the compound interest : 842.7-750= 92.7

Hope it helps

750(1+.06) to the power of 2
= 842.7 - total
= 92.7 - interest

Select the correct answer

Answers

Answer:

number 3

Step-by-step explanation:

thats my calcue

Hmmmn well to be honest I don’t know

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

Jose is planning to spread fertilizer on his rectangular yard. His yard is length of 40 feet and width of 25 feet. How much fertilizer does he need?

Answers

Hello, it’s a pleasure to help you!
1,000 square feet.


An inequality is two expressions that are
NOT equal, unlike an equation.
True
False

Answers

False have a good day

I need help with this if your right I will mark uou

Answers

Answer:

I think it's a

Step-by-step explanation:

help I'll give brainliest!!!
LMNP is rotated 180° clockwise around the origin. M 3, 4) N54) 2 RE PX90) What are the coordinates of L'? A. L'(1,0) B. L'(-1,0) c. l'(0,1) D. L'(0, -1) ​

Answers

Answer:

It’s (-3, -4)

Step-by-step

I did this program too.

“Gas Additive A”

Additive: “A”

Values below Q1:
“-15, -4, -2”

Q1: “1”

Median: “3”

Q3: “4”

Values above Q3:
“5, 7, 8”

A consumer advocate conducted a test of a popular gasoline additive that was claimed to increase gasoline mileage in cars. For
a sample of 15 cars they used the additive and determined how many more miles the car could drive when the additive was added to the gas tank.

For example, a positive 10 would mean that the car drove 10 more miles with the additive whereas a-3 would mean that the car drove 3 fewer miles with the additive.

The table shows a few data values (of how many more miles a car could drive with the additve) along with some summary statistics.

Are there any striking deviations?

A.) -15

B.) -2

C.) 7

D.) 8

Answers

Answer:

A

Step-by-step explanation:

help! geometry

find the arc length of the shaded sector

arc length = blank cm

Answers

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?

A.1/5
B.1/6
C.1/7
D.1/8

Answers

Answer: D 1/8

Step-by-step explanation: hope this help

Answer:

1/5

Step-by-step explanation:

You count how many colors there are and make how many color as your denominator [5 colors(Red, Green, Blue, Yellow, and Brown)] and find out what color was picked as your numerator [Green(1 color)].

jamal wants to draw a right triangle and label it JKL​

Answers

The answer is B: (-4,-2)

Answer:

Calm down jamal don't go pulling out the nine

Step-by-step explanation:

this is just a joke

Pls help me pls it’s

Answers

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)

31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61

What would be the amount owed?

Answers

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

How to calculate the amount

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

Learn more about amount

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The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.

A. 45 km per hour

B. 64.1 km per hour

C. 86.4 km per hour

D. 91 km per hour

E. 112.3 km per hour

Answers

A 45 km & B 64.1 km is the answer

The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5

What is the answer to this

Answers

Answer:

5 f

Re-order terms so that constants are on the left

. 5

5 f

solution

5 f

Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

A classroom floor has a perimeter of 132 feet. What is the perimeter in
yards?

Answers

Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x

Answers

It’s 10 by 2 but the integers should be 12 and the ans should be 11.

Help!! Will give brainliest and bonus air-hugs!!
Can someone please explain a few steps and try to help me understand this!?!

Part A
Which measurements do you need to know to find the volume of a cylinder?

Part B
Since the base of the refraction cup is a half circle, how can you find the radius? What is the radius?

Part C
If you put two refraction cups together, what three-dimensional shape do you have?

Part D
The formula for the volume of a cylinder is v= 3.14r^2h.
What is the approximate volume of two refraction cups use 3.14 for pi.

Part E
Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?

Part F
Using the equation from Part E, what is the approximate volume of one refraction? What is the relationship between this value and the value from part D? Use 3.14 for pi.

Answers

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Plsssss help me with this angle circle problem what is x

Answers

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

A triangle has an area that is 125 m2. The measure of the base is 20 m so, h = ? m.

Answers

Answer:

12.5

Step-by-step explanation:

12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.

Answer:

Hello! answer: h = 12.5

Step-by-step explanation:

H = 12.5 because 12.5 x 20 = 250 then we divide by 2 and get our area 125. so h = 12.5

70×2+20×30+19
are you okk guys❤​

Answers

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

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