Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

The minimum score required for admission to the nearest whole number = 557

Step-by-step explanation:

We solve this using z score formula.

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.

The z score of 70th percentile = 0.524

Mean = 497

Standard deviation of 114.

Minimum score = raw score = ???

Hence:

0.524 = x - 497/114

Cross Multiply

0.524 × 114 = x - 497

59.736 = x - 497

x = 59.736 + 497

x = 556.736

The minimum score required for admission to the nearest whole number = 557


Related Questions

Use the commutative property of addition to rewrite and simplify the expression.
–10 + 6

Answers

Answer:

-4

Step-by-step explanation:

Re-arrange: 6 + -10Simplify: 6 - 10Solve: 6 - 10 = -4

I hope this helps!

A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?


The range is 34.

The range is 34.

The mode is equal to the mean.

The mode is equal to the mean.

The mean is greater than the median.

The mean is greater than the median.

The distribution curve is skewed to the right.

Answers

Answer:

The correct option is;

The distribution curve is skewed to the right

Step-by-step explanation:

The given parameters are;

The mean = 58

The outlier = 92

Given that the outlier, P, can be found from the following formula, we have;

P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)

92 > (Q₃ + 1.5 (Q₃ - Q₁)

Given that mean = 58

Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.

what rational number lies between 4/3 and 1.666666​

Answers

Answer:

−26 and −16 is −14.

Step-by-step explanation:

i need more help
ill give brainiest to first person to answer

Answers

steps-
-4=-4
n=-6 IS THE ANSWER

best get brainly !!.!.!!:

Answers

Answer:96

Step-by-step explanation:

Answer:

the answer is 97

Step-by-step explanation:

I have to do the “got it”!!! Please help

Answers

Answer:

Substitute

Step-by-step explanation:

Answer:

JKM = 36

Step-by-step explanation:

JKL = 72

KM bisects JKL - cuts into two equal parts

72 / 2 = 36

JKM = 36

Please let me know if I'm wrong!

An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.​

Answers

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

what is the value of x in 5x−3(x−11)=7(2x−5)+2

Answers

The value of x is 5.5. I got this answer by first distributing -3 amongst (x-11), and distributing 7 amongst (2x-5). Next I combined like terms and subtracted 3x from 5x, and added -35 and 2. Next I subtracted 33 from both sides. Next I subtracted 14x from both sides. And finally I divided both sides by -12 to get the final answer of 5.5.

Directions: Graph the lines in standard form.
5. 3x + 2y = 6

Answers

Answer:

x=2 y=3

Step-by-step explanation:

3x=6

2y=6

x=2

y=3

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?​

Answers

Answer:

81 sq. inches

Step-by-step explanation:

Since they are asking for the scale of her drawing,

you have to divide the actual area of the house

by the area of the house on a scale drawing.

You only divide if they ask for the scale of the

drawing.

also

You only multiply if they ask for the scale of the

actual model.

Which point represents the unit rate?

Answers

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

What is the slope of this equation?

What is the y intercept? Explain how you know.

y=−2x+7

Answers

Answer:

slope=-2

y intercept= 7

Step-by-step explanation:

Equation of a line:

y=mx+c

where

m=slope of the line, and

c=y intercept

Comparing y=-2x+7 with y=mx+c,

m=-2

y intercept=7

Hope it helps:)

y=-3x + 6
What is the slope?
And what would the points be on a graph

Answers

the slope is -3 and the points would start at 6 which is the y intercept. you would plot a point at (0,6) then from there you would go up 3 and left one and continue this pattern. the line goes left because the slope is negative
The slope is -3 the x intercept is (2,0) and the y intercept is (0,6)

Costumers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick. Write an equation to model the total cost, y, fo x pounds of blueberries.

Answers

Answer:

c. y = 4x + 5

Step-by-step explanation:

you are paying a one time fee of $5 to get in and $4per x number of pounds.

Answer:

B

Step-by-step explanation:

Firstly you pay 4 dollars to enter BH

If x is the number of pounds of blueberries, then the amount spent is going to be 5x as each pound is 5 dollars. Then you add the costs together, so it would be 5x+4 which is B

PLEASE HELPPPP ITS A MULTIPLE CHOICE ANSWER !

Answers

The answer is A my teacher told me
A. to bring point a to b you need ti reflect across the x axis

PLEASE HELP ASAP AND GET IT RIGHT, CANT AFFORD TO GET IT WRONG WILL MARK BRAINLIEST

Type the correct answer on the line

Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is ________
meters per minute. One kilometer is the same as 1,000 meters.

Answers

Answer:

286.1

Step-by-step explanation:

2 km = 2000 m

2 min = 250 m -> 125 m in 1 min

4 min = 1000 m -> 250 m in 1 min

1 min = 350 m -> 350 m in 1 min

3 min = 400 m (the rest) -> 133.33 m in 1 min

To get the average you add up all 3 and divide by 3

So: 125 + 250 + 350 + 133.33 = 858.33

858.33/3 = 286.11

So rounded its 286.1

19. Suppose carpet costs $20 per square yard. How much will it cost to carpet
the floor shown below?
12 yards
8 yards
(a) $1,160
(b) $400
(c) $800
(d) $1,920 (e) none of these
Please show the work

Answers

20 x 12 = 240
20 x 8 = 160
240 + 160 = 400
answer is (B)

Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

PLEASE HELP QUICK!!!!!

Answers

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

4/7x + 5/14x=36. What is the value of x (both X's must be the same number)

Answers

Answer: x= 38 10/13 ?

Step-by-step explanation:

simplify both sides of the equation, then isolate the variable.

Answer: x=38 10/13

Explanation:
4/7x+5/14x=36 rewrite fraction lol
8/14x+5/14x=36
add add
13/14x=36
multiply both side by 14/13
x=38 10/13

1/3 of the 12 pencils were broken.How many pencils were broken

Answers

Answer:

4

Step-by-step explanation:

You can multiply 1/3 by 4 to equal 12 giving you your answer

Answer:

Step-by-step explanation:

4  pencils were broken

1/3 * 12 is 4

who ever gets it right first gets brainlyest plz help!

Answers

Answer:

It is between 9 and 10

Step-by-step explanation:

Answer:

helping other guy get brainleyest

Step-by-step explanation:

Bill cut out 6 squares and 8 circles . He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

Answers

Answer:

2 groups

Step-by-step explanation

To find out how many groups can be made for 6 circles and 8 squares, start by finding what you can divide by both numbers.

                 6 can be divided by:                               8 can be divided by:

                                 1                                                                  1

                                 2                                                                 2

                                  3                                                                 4

                                  6                                                                 8

The greatest number that they both have in common is 2. There would be 3 circles and 4 squares if Bill divided into 2 groups.

I hope this helped. Let me know if you still have any questions!

What is 8x8x8x8x3x3 in exponential form?

Answers

Step-by-step explanation:

[tex]8 ^{4} \times 3 {}^{2} [/tex]

Count how many of the same number, since you have four 8's the exponent will be

[tex]8 {}^{4} [/tex]

same applies for 3

Answer:  [tex]8^4 \times 3^2[/tex]

On a keyboard, you can type 8^4*3^2 to indicate the same thing.

===========================================================

Explanation:

There are four copies of 8 being multiplied. Writing [tex]8^4[/tex] is a shorthand way of saying [tex]8 \times 8 \times 8 \times 8[/tex]. The exponent tells us how many copies of the base to multiply out.

Similarly, we have two copies of 3 which means [tex]3 \times 3 = 3^2[/tex]

11.
19.4
x 5.37

Estimate. I don’t need the answer immediately.

Answers

Answer:

Approximately 95

Step-by-step explanation:

19 x 5 = 95



8.9% is equivalent to what fraction in reduced terms?

Answers

Answer:89/1000

Step-by-step explanation:

Answer:

[tex]\frac{89}{1000}[/tex]  

Step-by-step explanation:

8.9% = 0.089[tex]0.089 = \frac{89}{1000}[/tex]  

I hope this helps!

Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.

Answers

Answer:

103, 110 ft

Step-by-step explanation:

Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?​

Answers

Answer:

continuous graph

Step-by-step explanation:

How do you write a linear equation given the slope and a point that
is not the y-intercept?

Edge 2020

Answers

Answer:

point slope form

Step-by-step explanation:

hi! we can use point slope form:

y-y1=m(x-x1)

where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.

example:

slope is 4

ordered pair is (2,3)

y-3=4(x-2)

y-3=4x-8

y=4x-5

hope this helps!

what is a mathmatical expression? give an example

Answers

Answer:

In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.

What’s the equation of (6,39) and (-5,-49)

Answers

y= 8x-9, because I need more characters
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