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

what are the x intercepts of h(x) in h(x) = -x(x-2)

Answers

Step-by-step explanation:

symbolab would be a great thing to use, itll tell you the steps and the answer

Fran and Alex ride their bicycles from school. Fran rides 3 miles west and 2 miles south to get home. Alex rides 4 miles east and 3 miles north to get home. How many miles apart are Fran's and Alex's homes?

Answers

Answer:

The number of miles the homes of Fran's and Alex's homes are apart is approximately 8.602 miles

Step-by-step explanation:

The given displacements, d in vector form are;

For Fran;

3 miles west and 2 miles south gives d₁ = -3·i - 2·j

For Alex;

4 miles east and 3 miles north gives d₂ = 4·i + 3·j

The number of miles apart between Fran's and Alex's homes = d₂ - d₁

d₂ - d₁ = 4·i - (-3·i) + 3·j - (-2·j) = 7·i + 5·j

∴ The number of miles between Fran's and Alex's homes = 7·i + 5·j

The magnitude in miles in the distance between Fran's and Alex's homes = √(7² + 5²) = √74

∴ The magnitude in miles in the distance between Fran's and Alex's homes ≈ 8.602 miles

The magnitude in miles in the distance between Fran's and Alex's homes = The number of miles the homes of Fran's and Alex's homes are apart

∴ The number of miles the homes of Fran's and Alex's homes are apart ≈ 8.602 miles

[tex]\frac{p+9}{5} =r,for (p)[/tex]

Answers

Answer:

P = 5r + 9

Step-by-step explanation:

Which pair of polygons is congruent 1 and 2 3 and 4 3and 5 and 1 and 4

Answers

Answer:

i needa pic so i can answer it lol

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Answers

Answer:

-10 points

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Let us say Initial number of points = 0

Hence,

He answers 2 incorrectly = 0 - 50 - 50

= -100

He answers 3 correctly =-100 + 30 + 30 + 30

His final score = -100 + 30 + 30 + 30

= -10 points

Step 1: Gather materials and necessary information. a) You will collect information about a used car of your choice and a loan. • Search for a used car you think you would like to buy someday using an Internet search engine for “used cars for sale.” The car cannot be more than $15,000. o Save a picture of the car. o Record the price, mileage, year, make, model, and location of where to buy the car. • Search for loan options with a bank and a credit union of your choice. For both options find. o APR o Restrictions on the loan options o Additional fees o Finance charges o Repayment periods b) Be sure to keep a list of your references so you can cite them later.

Answers

Answer:

If your car companylikelihood that you could go in for the auto insurance not a ... Make sure you are find that your vehicle to get coveragetrade and needs ... You know you're getting the car is in place a lien holder information judgebe filed. ... If your family has more discount they cannot use their cards a bad driver category.

Step-by-step explanation:

We also offer auto leasing, car financing, Chevrolet auto repair service, and Chevrolet ... Time to come see your Service Team at Augusta Master Chevrolet Cadillac. ... As a top Chevy auto dealer in Aiken SC, we want to tell you more about why the ... But, we may have seen a sneak peek of what's to come with the Silverado ...

What is the appropriate angle measure formed by a clock that reads 2 o clock

Answers

60 degrees
A clock is 360 degrees making each number an additional 30 degrees with one hand on 12 and the other on 2, 2 x 30= 60

1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3​

Answers

Answer: 660 is divisible by 2,4, 5, 11 and 3

I am saving up to buy a PS5, which costs $499. I already have $240 saved up and I get another $30 every week. When will I be able to buy a PS5? Express your answer with a table, graph, and equation.

Answers

Answer:

So if you have 259 and you need 499 subtract and you get 259 is how much you need 259 divided by 30 is 8.63333333333 rounding up you will need to wait about 9 more  weeks

Step-by-step explanation:

Good luck and have fun!

1704000000 in scientific notation

Answers

Answer: 1.704 x 10^9

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Eli has a loan of $24,650. This loan has a simple interest rate of 3% per year. What is the amount of interest that Eli will be charged on this loan at the end of two years?

Answers

Answer:

$1479

....,..........

Answer:

If your talking about how much they are going to pay ONLY interest for two years then it is $1,479. $1,479 is the amount of money they will be paying for two years ONLY FOR INTEREST.

Step-by-step explanation:

3% of 24,650 is 739.5. That is for one year. 739.5 times 2 for two years is 1,479. Just in interest they will be paying a total of 1479 for two years. Let me know if I'm right. This should be right though. Hope it helped :)

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

write point slope
can someone help me with this plz
will mark brainliest and 20 points

Answers

Answer:Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Step-by-step explanation:

An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?

(150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)

Answers

Answer:ITS NOT D

Step-by-step explanation:

The component form of the velocity vector of the airplane is 150√2 mph.

What is a velocity vector?

The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.

The velocity vector is calculated as:-

[tex]\widehat{V}[/tex] = Vcos45

[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )

[tex]\widehat{V}[/tex] = ( 2 x 150 ) / √2

[tex]\widehat{V}[/tex] = 150√2 mph

Hence, the velocity vector of the airplane is 150√2 mph.

To know more about velocity vectors follow

https://brainly.com/question/626479

#SPJ2

Find m∠A in ABC if m∠B = 38° and m∠C = 38°

Answers

Answer:

∠A = 104

Step-by-step explanation:

Triangles are equal to 180° so if one angle is 38° and the other angel is equal to 38°, then the third angle must make each of those angles add up to 180.

If you add 38 + 38 and subtract the sum from 180 you will get the measurement of angle A

(38 + 38) - 180 = 104

The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).

Answers

Answer:

[tex]64\ \text{sq. units}[/tex]

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]

The area of the rhombus is [tex]64\ \text{sq. units}[/tex]

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]

can someone help me? (look at image)

Answers

Answer:

A- (1,-4)

B-(0,1)

C-(3,0)

(i think thats correct lol)

Step-by-step explanation:

4.7g + 2 = 2.7g + 12

Answers

Answer:

g=5

Step-by-step explanation:

Can anyone help me with this

Answers

Answer:

About 5,357

Step-by-step explanation:

25*3=75

75/0.014= 5,357

6. The graph of a linear function is shown on the coordinate grid.
101
(-4, 6)
x
20-9-8-7-
(1,-9)
What is the y-intercept of the graph of the linear function?

Answers

Answer:

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

As the graph crosses the y-axis at x=0

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Answer:

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:  

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

As the graph crosses the y-axis at x=0

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
C. 9 servings
D. 12 servings

Answers

Answer:

D. 12 servings

Step-by-step explanation:

Normally, when working with fractions, I would like to make the denominators of both fractions the same.

[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings

[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings

[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings

5. AGHI is an isosceles triangle with a vertex angle H
If the M

Answers

Answer:

I can't help I cause u don't have questions to pick from

HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

x=0

Step-by-step explanation:

take the logarithm of both sides of the equation to remove the variable from the exponent.

help !! which one is it?

Answers

The third one is correct

find the area of the circle​

Answers

Answer:

200.96

Step-by-step explanation:

A = 3.14(8^2)

3.14 * 8 * 8

3.14 * 64

200.96

Answer:

if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.

Step-by-step explanation:

What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
the number of feet that the top of the bridge was above the water versus the amount of minutes that the drawbridge
was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the
rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.

Answers

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Bookstore is having a sale. Every book is 25% off. How much would you pay for a book that cost $26?

Answers

Answer:

$19.50

Step-by-step explanation:

(26÷100)75=19.50

Multiply 25% by 26$ to get 6.50. Take 6.50 and subtract it from 26$ to get 19.50 therefore, the answer is 19.50$

The cost of interest of a $3.000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?

Answers

Answer:

0.36

Step-by-step explanation:

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