The SAT and ACT college entrance exams are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. (a) An engineering school sets 560 as the minimum SAT math score for new students. What percentage of students will score below 560 in a typical year

Answers

Answer 1

Answer:

78.814%

Step-by-step explanation:

mean,  = 480 points.

standard deviation, σ = 100 points.

If 560 is the minimum score, x = 560. We want the % of students who will score BELOW that. Use the formula for z-scores: [tex]z = \frac{x-u}{standard deviation}[/tex] to get the z score: (560-480)/(100) = 0.8.

Using a z-score table: the value under 0.8 is 78.814%.


Related Questions

Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh ​

Answers

Answer:

48

Step-by-step explanation:

Cat = x

Dog = 8x

x + 8x = 54

9x = 54

x = 6, Dog = 8 * 6 = 48

Help me ill give brainless please

Answers

Answer:

p = $200

Step-by-step explanation:

90/p = 45/100

45p = 9000

p = 9000/45 = $200

PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

your answer will be Option C.256

Step-by-step explanation:

hope it helps

ITS AN EMERGENCY PLEASE HELP

Answers

Answer:

$9.80

Step-by-step explanation:

Remember that the way to find the mean of a data set is by adding together all the values, and dividing by the number of the values. So, in this case, you add the 5 values together and get 49. Since there are 5 values, you divide 49 by 5 and get 9.8, or in a real world-money situation $9.80.

What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.

Answers

Answer:

The value of the expression is 78

Step-by-step explanation:

Answer:

Step-by-step explanation:

{18÷(2+4)}+3×2 = {18÷6}+3×2

= 3+3×2

= 3+6

= 9

find ratio of 13cm : 65m​

Answers

Answer:

1:5

Step-by-step explanation:

13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5

May you please help me figure out every angle?​

Answers

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

Find the area of the bigger triangle (will give brainlest)

Answers

Answer: a. 90

Step-by-step explanation: plz give me brainliest

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records the measurements in feet and inches. Currently, her standing reach is 6 feet from the ground. The highest point of her jump is 108 inches.

How many inches are in 6 feet?
6 feet = 72 inches.

Complete the statement to describe how to convert feet to inches.
To find the number of inches, ? the number of feet by the unit rate, ? inches per foot.​

Answers

Answer:

To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)

Step-by-step explanation:

A rectangle with 8 cm width and 3 cm length What is the perimeter and area of the rectangle?​

Answers

Answer:

P=22cm

A=24cm²

Step-by-step explanation:

A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes​

Answers

Answer:

1 hour and about 15 minutes.

Step-by-step explanation:

because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes

2 hours 13 minutes 20 seconds

Can please someone help me out and explain it step by step. Thank you

Answers

Answer:[tex]x=7, \ y=-2[/tex]

Step-by-step explanation:

Given

Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]

take [tex]3x-y=23[/tex]

[tex]y=3x-23[/tex]

Put the value of y in another equation

[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]

Put the value of x in y

[tex]y=3(7)-23=21-23=-2[/tex]

Hence, [tex]x=7, \ y=-2[/tex]

1. x²+2xy+y²
2. x²-8x+16
3. 16a⁴_24a²b²+9b​

Answers

Answer:

1.(x+y)²

2. (x-4)²

3. (4a²-3b²)²

I just need these 4, they should be super easy!! I really need help

Answers

Answer:

1. v = 72

2. b = 8

3. 0 or -2

4. C = -24

Step-by-step explanation:

Hope this helps.. Can I get brainiest

6. Greg pays a fee of $20 a month for local calls. Long-distance rates are $0.06 per minute for calls within the United States and $0.14 per minute for foreign calls. Suppose Greg makes 300 minutes of long-distance phone calls in January and m of those minutes are for calls within the United States.​

Answers

Answer:

He pays $18 for the long distance calls because 0.06 x 300 is 18

and if you want to find how much that month do 18+20 which is 38

$38 that month

HELP PLEASE I NEED HALP

Answers

Answer:

16

Step-by-step explanation:

8x2

What is 3x3/6 because I can’t figure it out

Answers

Answer:

its 48

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

choose the correct equation please

Answers

Answer:

y=3×+6

Step-by-step explanation:

bla bla bla bla bla bla bla hhhhhhhhhhhh

Daniel is making cupcakes for a school bake sale. He wants to make 120 cupcakes. So far he has made 65% of them. How many more cupcakes does he need to make?

Answers

22
0.65*120=78
First divide 65 and 100 you will get 0.65.
Then just multiply your whole number.

i hope the internet knows how to do this i dont​

Answers

All the answers are in the picture attached.

Branliest to correct answer please explain how you solved it

Answers

You have a 3/6 chance of getting even number (there are 3 even numbers in the 6 die)

You have a 1/16 chance of getting a 16 on the other die

multiply them 1/3 × 1/16 then convert it to decimal form is your answer

log8(216)+[log(42)_log(6)]÷log(49)​

Answers

Answer:

3 log (3) + 1/2

Step-by-step explanation:

log8(216) + [log(42) - log(6)] ÷ log(49)​ =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2)  / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2

A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour

Answers

Answer:

A

Step-by-step explanation:

This is a fraction equal to

6 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour

PLEASE HELP I DONT GET THIS ASAP! IS THIS 21??

Answers

it is 21 you’re right haha

The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?

Answers

Answer:

The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance

Step-by-step explanation:

From data we get    x ( sample mean ) s  ( sample standard deviation) and n size of the sample

0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152

0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147

n = 16

x ≈ 0,1487

s = 0,00193

Test Hypothesis

1.-Null Hypothesis               H₀                x  =  μ₀  = 0,15

Alternative Hypothesis  Hₐ                 x < 0,15

We assume data follows normal distribution

as n = 16 we should use a t-student table

As the question is : "Is the median resistance less than 0,15 0hm " we must use  one-tail-test ( to the left)

Then:

2.-Significance level  α = 5 %      α = 0,05

degree of freedom   n = 16     df = n - 1    df = 15

From t-table we find t(c) = 1,7531      at the left is t(c) = - 1,7531

3.-t(s) = ( x - 0,15 ) / s / √n

t(s) = 0,1487 - 0,15 / 0,00193/√16

t(s) = - 0,0013 * 4 / 0,00193

t(s) = - 2,69

4.- Comparing t(s) and t(c)  

|t(s) | > |t(c)|       2,69 > 1,753

Then t(s) is in the rejection region

5.- We reject H₀  . At 95 % of confidence Interval

Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?

Answers

Answer:

48 ounces

Step-by-step explanation:

16 ounces per pound

3 x 16 = 48 ounces

what is the value of x?

Answers

Answer:

40

Step-by-step explanation:

135-95

im not 100% sure tho

Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?​

Answers

Answer:

Raeyln bought 60 stickers, Beth bought 15 stickers

Step-by-step explanation:

simple math l.mao

Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?

Answers

Answer:

290in

Step-by-step explanation:

WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.

Answers

Answer:

I think the anwser is 8

Step-by-step explanation:

Answer:

It will be 8

Step-by-step explanation:

because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!

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