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

URGENT PLZ HELP

Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.

HELP!!!

Find an explicit rule for the nth term of the sequence.

-5, -30, -180, -1080, ...

Answers

Answer:

multiply by 6

Step-by-step explanation:

You have 12 pieces of candy and you eat 50% of the pieces. How many pieces of candy did you eat? Enter ONLY the number for your answer. *

Answers

Answer:

BLDM

Step-by-step explanation:

Answer:

6 pieces of candy

Step-by-step explanation:

50% is a half (of 100%)

12 pieces of candy in 100% divide by 2

6 = 50%

A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.

Answers

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

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.

A dot plot titled Number of runs scored going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 6 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot. What is a dot plot and how do you read it? Check all that apply. A dot plot displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. There were 0 runs in 2 of the games. Dot plots show the distribution of the data. There were a total of 19 games.

Answers

Answer:

abdef (those are the answers)

Step-by-step explanation:

Answer:

all but C

Step-by-step explanation:

A farmer sells 8.3 kilograms of apples and pears at the farmer's market. 1/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

6.23 kg of pears (check for rounding)

Step-by-step explanation:

8.3 / 4 = 2.08 kg of apples as it is 1/4 of 8.3

8.3 - 2.08 = 6.22 kg of pears

Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.

Answers

Answer:

$60.30

Step-by-step explanation:

Answer:

The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15

brainliest?

Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?

Answers

First make equations to keep you work straight
Playland day cost is 25+2r
Funland day cost is 35+1r
Now plug in the same number to both and see if the answer is equal I always start with easy ones:
5
25+10=35
35+5=40
10
25+20=45
35+10=45
*Bingo*
So 10 is the number of rides that makes the parks cost the same.
Good luck! Brainliest would be greatly appreciated.

This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure

The mistake was in step 1.  Here is how to correctly solve the equation: x² - 8x – 33 = 0 (x - 11) (x + 3) = 0 x – 11 = 0 x +3 = 0 x = 11 and x = -3

The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.

Answers

Perimeter = all the sides added together
All the sides of the square are 5 and you can count the sides of the triangle because they are horizontal and vertical.

5 + 5 + 5 + 4 + 3 = 22

Perimeter = 22 units

An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants?

Answers

52 because if you multiply 26 and 2

Answer:

52 pounds

Step-by-step explanation:

2 x 26= 52

what is the difference between 0.02 and -0.02​

Answers

Answer:

0.04

Step-by-step explanation:

Using absolute value |.02|+|.-02|= .04

Can Someone please help me !!! ( you have to fill out the blanks )

Answers

Answer:

1. 5(a-6) = 5a-30

2. 2(3a-b) = 6a-2b

3. 5(-5x+3) = -25x+15

4. -(2c+3) = -2c-3

Both of their first step are correct (Show your calculations to explain)

x-9 = 5

x = 14

2x-18 = 10

2x = 28

x = 14

Step-by-step explanation:

All Above

write 36minutes,1hour 40 minutes in simplest form​

Answers

Answer:

3/5 of an hour, 60 minutes, 2/3 of an hour

Step-by-step explanation:

pls help me for a second

Answers

Answer:

do you need Anything else? hope i helped u

Someone please help me answer this!!

Answers

0.000518
just add 4 zeros to the left of the number

whats is the outcome to this pls

Answers

Answer:

what grade is this for?

Step-by-step explanation:

What is the Y value of solution to the following system? (Substitution)
x=3y+4
3x-5y=8
(This is worth 10 points please help this is due in 15 minutes )

Answers

X=1 and y=-1 because when you substitute the x value of x=3y+4 into the second equation and solve for y you get -1


Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?

Answers

Answer:

0.37

Step-by-step explanation:

Simplify:-(x+9)
Plz help

Answers

Answer:

-x-9

Step-by-step explanation:

-(x+9)

The "-" at the beginning can be rewritten as -1

=-1(x+9)

To distribute -1 into the parentheses, multiply each value inside by -1

=(-1)(x)+(-1)(9)

=(-x)+(-9)

= -x-9

I hope this helps!

A marketing research consultant for a hotel chain hypothesizes that men and women differ in their color preference for guest rooms. The consultant shows pictures of rooms decorated with three different color scheme to each person in a random sample of 110 men and to each person in a random sample of 90 women. The consultant asks each person to choose his or her favorite color scheme. A chi-square test for homogeneity of proportions will be used to test the consultant’s hypothesis. Assuming that the conditions for inference are met, which of the following statements is true for the test?
A. The null hypothesis for the test is that the proportion of each gender who prefer each color scheme is
B. The sample size is too small to detect a significant difference in a chi-square test for homogeneity of proportions
C. The test is not valid because the sample sizes are not equal
D. The more that men and women differ in their color preferences, the larger the chi-square statistic will be
E. The test would also be appropriate if 90 married couples had been used for the two samples.

Answers

Answer:

D. The more that men and women differ in their color preferences, the larger the chi-square statistic will be.

Step-by-step explanation:

Hypothesis testing is a statistical technique which is used to identify the conclusion regarding whether to accept or reject the statistical statement. There is alternative hypothesis statement again which null hypothesis is tested.

A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant’s quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters

Answers

Answer:

0.6892 = 68.92% of bottles are within specification.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.

This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]

The plant’s quality manager wants to determine how well the process is operating.

To do this, we find the proportion of bottles within specification.

The specification limits for a bottle of soda are 2.1 liters and 1.9 liters

This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So

X = 2.1

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

[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915.

X = 1.9

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

[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a pvalue of 0.0023

0.6915 - 0.0023 = 0.6892

0.6892 = 68.92% of bottles are within specification.

Please help me with this

Answers

Answer:

Y = 13

Step-by-step explanation:

You can use the sine rule to solve this.  The sine rule states that:

Sin(a) / A = Sin(b) / B = Sin(c) = C

In other words the sine of the angle in any corner in a triangle, divided by the length of the opposite side, will be equal to that of the other two sides as well.  

In this case, we can take the ratio between the sine of the right angle, and each of our hypotenuses, and state them as equal, giving us the solution:

sin(90) / (5y + 13) = sin(90) / 6y

1 / (5y + 13) = 1 / 6y

5y + 13 = 6y

6y - 5y = 13

y = 13

s
31
T
114°
R
U
v
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58

Answers

Answer:

c 64 is your answer im pretty sure

Arrange the steps in the correct order to prove the theorem "If A and B are sets, A is uncountable, and A ⊆ B, then B is uncountable." Rank the options below.

a. Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
b. Thus B is not countable.
c. The elements of B can be listed as b1, b2, b3
d. Therefore A is countable, contradicting the hypothesis.

Answers

Answer:

Step-by-step explanation:

We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"

To arrange the steps in the correct order, we have:

(a) Assume that B is countable

(b) The elements of B can be listed as b1, b2, b3

(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.

(d) Therefore A is countable, contradicting the hypothesis.

(e)  Thus B is not countable

It takes 8 blocks with side lengths of 4 meter to fill a rectangular prism.
The rectangular prism has a volume of
cubic meter.
1/8
Reset
1/4
1/2
1

Answers

Me das mas información?

Answer:

1

Step-by-step explanation:


Is this statement always true? Or sometimes true? Or
never true?
X-y is greater than x+y
Always
Sometimes or
Never

Answers

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

A composite figure has three congruent triangles removed from it.

What is the area of the shaded region?

O 98ft
O 128ft
O 160ft
O 192ft

Answers

Answer:

[tex] 128 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft

[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]

a) 3 -2.(x + 3) = -18​

Answers

Answer:

3 -2x^2 -6x= -18

Step-by-step explanation:

that's what got

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