On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.

Answers

Answer 1

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer 2

Answer:

its actually 35

Step-by-step explanation:


Related Questions

#12, what is this answer ?

Answers

Answer:

joan chris martin sara

Step-by-step explanation:

Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?

A, $146.88
B, $160.48
C, $171.36
D, $173.32​

Answers

Answer:

C. 171.36....... :)).......

If 24 = 118, what is the measure of each of the other
angles?

Answers

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.

Since, m∠2 = m∠4 = 118° [Given]

m∠2 = m∠6 = 118° [Corresponding angles]

m∠4 = m∠8 = 118° [Corresponding angles]

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 118° = 62°

m∠1 = m∠5 = 62° [Corresponding angles]

m∠3 = m∠1 = 62° [Corresponding angles]

m∠7 = m∠5 = 62° [Corresponding angles]

Write the word sentence as an equation. Then solve.

The quotient of a number x and −1.5 is 21.

Equation:

Question 2
Solution: x=

Answers

Answer:

-1.5-21x

Step-by-step explanation:

graph and find the coordinates ​

Answers

Answer:

a' (4,3)

b' (2,-3)

c' (-1,0)

to graph the triangles, you plot the points an then connect them to form a triangle. you have to plot triangle ABC and then triangle A'B'C'

Step-by-step explanation:

Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.

Answers

Answer:

Edward earned $1300 interest in 4 years.

Step-by-step explanation:

Principal Amount = Initial Investment = $6500

Time t = 4 years

Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)

We need to find interest.

The formula used is: [tex]Interest= Principal\times r \times t[/tex]

Putting values and finding Interest

[tex]Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300[/tex]

So, the interest = $1300 in 4 years.

Edward earned $1300 interest in 4 years.

Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r

Answers

Answer: C. -r/3

Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.

Brainliest for the correct answer 20 points!!!

Answers

Answer:

y = -3/2x + 3

Step-by-step explanation:

Answer:

y= 3 - 2x

Step-by-step explanation:

Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?

Answers

Answer:

There will be 23 gallons

Answer:

23 gallons

Step-by-step explanation:

the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23

I am stuck on part b

Answers

Answer: answer is 3.

Step-by-step explanation:

Mean is the sum of all the numbers divided by how many numbers are being added.

Mean = (1 + 2 + 3 + 4 + 5)/5

= 15/5

= 3

Lindsey mowed 1/4 of her lawn
in 1/2 of an hour.
How much of her lawn can
she mow in 1 hour?

Answers

Answer:

2/4

Step-by-step explanation:

Answer:

1/2 her lawn.

Step-by-step explanation:

If she mowed a quarter in half an hour then you just need to multiply 1/4 by 2 since 1 hour is double half an hour.

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

Austin has a square pool that measures 6 meters on each ude The pool is surrounded by a cement border that meayures 0.5 What is the area of the cement border (not including the pool of course)? HELP ASAP​

Answers

Answer:

5

Step-by-step explanation:

6 mis 1 is 5

I need to find the x pls help and show work

Answers

Answer:

Start giving more points

Step-by-step explanation:

plus i needed the points

Answer:

x=143

Step-by-step explanation:

deNew image over pre-image so 52/4 would equal x/11 because those sides correspond, then cross multiply to get 572 equals 4x then divide each side by 4 to get x=143

I WILL GIVE BRAILYEST!!!!!
What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?​

Answers

KE = 1/2mv^2
96 = 1/2m(16)
96 = 8m
m = 12 kg

Given that f(x)=x-9, g(x)=3x^2-2x+5, Find the function

(f+g)(x):_____________

Answers

Answer:

f(g(x)) thats what (fog)(x) is

3(x-9)^2-2(x-9)+5

your answer is 3x^2-56x+266

Step-by-step explanation:

hope it helps

PLS HELP WORTH 20 POINTS

Answers

Answer:

all the sides are the same so it would be 5

Step-by-step explanation:

The side are the same so igg to would be 5

Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift

Answers

Answer:

Curl ups

Step-by-step explanation:

I'm not 100% sure, but it seems like the most logical answer to me.

Answer:

Trunk Lift

Step-by-step explanation:

Is 3x - y = -6 an euation for a graph

Answers

Answer:

no this can't become a number that can be graphed

I can't figure this out :/

Answers

Answer:

I believe it is d because when you get to negatives they are always on the left side

Step-by-step explanation:

The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?

Answers

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

480/20=24

Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

4*24=96

According to this, the answer is that the club made a profit of $96 from the shirt sale.

5x - (2x + 5)
170
please help.

Answers

Answer:

56.66666667??? i think

Step-by-step explanation:

Answer:

The simplified answer is -335x-850

5x-7=3 whats the answer

Answers

Answer:

x=2

Step-by-step explanation:

5x-7=3

Add 7 to each side

5x - 7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-7=3

Move the 7 from the left side. So you'll add it to both sides

5x-7(+7)=3(+7)

Making your formula

5x=10

Then divide 5x on both sides

Since 5x divided by itself is one it's just x

10 divided by 5 is 2

So the answer is x = 2

PLSSSS HELPPP ME SOMEBODY WITH THESE MATH QUESTIONS!!!!!!!!! OR AT LEAST TRYYYYYYYYYYY. REWARD BRAINLIESTTTTT

Answers

Answer:

i would help but i am very bad at math

Step-by-step explanation:

i’m at sorry

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Ummmmmmm try using those things that help ppl with math

Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answers

Answer:

18 per min and 0.3 per second

Step-by-step explanation:

Per minut --> 45/2.5 = 18 words per minut

Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second

Best regards

Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 25 feet. Suppose wood flooring costs 11$ for each square foot. How much will the wood flooring cost for the floor?

Answers

Answer:

$11,000

Step-by-step explanation:

Step one:

given data

the dimension of the gym is

length = 40ft

width= 25ft

Area= 40*25

Area= 1000ft^2

Step two:

     if 1ft^2 will cost $11

then 1000ft^2 will cost x

cross multiply

x=1000*11

x=$11,000

The cost for the floor is $11,000

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