A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.

Suppose we randomly select one senior student and one first-year student. We can consider S and F to be independent random variables.

Calculate the standard deviation of the difference D = S – F.

σD = 17.7482
σD = 19
σD = 44.6878
σD = 227

Answer:

57?

Step-by-step explanation:

I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180

Step-by-step explanation:

From Pythagorean theorem

x^2 = (10)^2 - (8)^2 = 36 or x =6

sin theta = opp/hyp = 6/10 = 3/5

cos theta = adj/hyp = 8/10 = 4/5

tan theta = opp/adj = 6/8 = 3/4

cot theta = 1/tan theta = 4/3

sec theta = 1/cos theta = 5/4

csc theta = 1/sin theta = 5/3

Answer:

7/4 = 35/20

Step-by-step explanation:

35 = 7 x 5 ; 20 = 4 x 5

Answer: y = 5.25x

Step-by-step explanation:

The cost of one pound of cheddar cheese is $5.25.

The number of cheese purchased is x.

The total cost of cheese would therefore be the cost of one pound of cheese multiplied by the number of pounds of cheese purchased:

= 5.25 * x

Full expression is therefore:

y = 5.25 * x

y = 5.25x

Answer:

B

Step-by-step explanation:

EDGE

Answer:

Proportion of female older Than 60 in country A is not more than the proportion of female older Than 60 in country B.

Step-by-step explanation:

From. The plot given :

We could approximate the proportion of females older than 60 as follows _

COUNTRY A :

60 - 69 = 0.105

70 - 79 = 0.065

80 - 89 = 0.038

90+ = 0.01

Total = About 0.218

COUNTRY B :

60 - 69 = 0.14

70 - 79 = 0.11

80 - 89 = 0.07

90+ = 0.02

Total = About 0.34

From the estimated proportion, the proportion of females on country B is more than the proportion in country A.

Answer:

if u don't want them to have your insta/snap, tell them that you don't like sharing them. I just wouldn't respond after that

If they are bothering you say "Thank you for being nice to me, I am going to say this in the most the nicest way possible, but you're kind of bothering me right now. If you keep messaging me/ bothering me I'm going to have to block you" or you could say "Please stop asking me for my insta/snap if you keep asking me I am going to have to block you. Thank you have a nice day :)"

you could say something like that

Answer:

No it does not

Answer:

It does not represent a function

Step-by-step explanation:

The values of x and y don't vary.

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

Answer:

4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%

Step-by-step explanation:

The simplified expression of 4/11 is 4/11

From the question, we have the following parameters that can be used in our computation:

4/11

This means that we divide 4 by 11

So, we have the following representation

4/11

In the above, we have

The numerator 4 is less than the denominator 11

This means that the expression is already simplified

Hence, the simplified expression is 4/11

Read more about expressions at

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Answer:

C is a function

Step-by-step explanation:

For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

Answer:

1734.85

Step-by-step explanation:

Answer:

the correct answer is 1,734.85cm2

Step-by-step explanation:

i did the assignment and got it right

Answer:

b. 450 ≤ A ≤ 1,200 is a required answer.

One fifty sold

Price

Total seats=400

Total price

So

Answer:

[tex]25 * 68 = 1700[/tex]

Step-by-step explanation:

Given

[tex]25 * 68[/tex]

Required

Fill the array using doubling and halving

Question is incomplete, as the array is not given.

However, the solution is as follows:

[tex]25 * 68[/tex]

Double 25 and half 68

[tex]25 * 68 = 50 * 34[/tex]

Double 50 and half 34

[tex]25 * 68 = 100 * 17[/tex]

The above is now easy to solve

[tex]25 * 68 = 1700[/tex]

Answer:

Angle b=56

Step-by-step explanation:

180-34-90=56

Answer:

{14, 47, 50}

Step-by-step explanation:

The three sides of a right triangle must satisfy

a² + b² = c², known as the Pythagorean Theorem. So let's put the pairs into the theorem.

20, 48, 52

a² + b² = c²

20² + 48² = 52²

400 + 2304 = 2704

2704 = 2704

20, 48, and 52 represent the three sides of a right triangle.

40, 75, 85

a² + b² = c²

40² + 75² = 85²

1600 + 5625 = 7225

7225 = 7225

40, 75, and 85 represent the three sides of a right triangle.

14, 47, 50

a² + b² = c²

14² + 47² = 50²

196 + 2209 = 2500

2405 ≠ 2500

14, 47, and 50 do NOT represent the three sides of a right triangle.

13, 84, 85

a² + b² = c²

13² + 84² = 85²

169 + 7056 = 7225

7225 = 7225

13, 84, and 85 represent the sides of a right triangle.

14, 47, and 50 do NOT represent the three sides of a right triangle, therefore making it your answer.

Answer:

x = 4

Step-by-step explanation:

The image provided below, I find very helpful when trying to solve difficult problems such as this one.

We use the same relationship, the only difference is we are given expressions and numbers for the segments

If the product of the segments in one chord equal the product of the segments in the other chord then,

x * 6 = 8 * ( x - 1 )

Or 6x = 8 ( x - 1 )

Now we solve for

Step 1 distribute the 8

8 * x = 8x

8 * -1 = -8

We now have 6x = 8x - 8

step 2 subtract 8x from each side

6x - 8x = -2x

8x - 8x cancels out

we now have -2x = -8

step 3 divide each side by -2

-2x / -2 = x

-8 / - 2 = -4

we're left with x = 4

Answer:

1,124.49

Step-by-step explanation:

Answer:

1000 + 100 + 20 + 4 + 0.4 + 0.09

Step-by-step explanation:

We have to pay $0.63 sales tax if the rate is 6%.

What is the sales tax?

Sales tax is a tax that is added to the price of goods or services when they are sold. It is typically a percentage of the purchase price and is collected by the seller from the buyer.

In this case, the price of the bucket of popcorn is $8.00 and the price of the soda is $2.50. If the sales tax rate is 6%, the total amount of sales tax paid on the popcorn would be $8.00 x 6/100 = $0.48 and on soda is $2.50 x 6/100 = $0.15. So the total amount of sales tax paid on both items is $0.48 + $0.15 = $0.63

Hence, we have to pay $0.63 sales tax if the rate is 6%.

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Answer:

250[tex]\leq[/tex]5s+8ns

Step-by-step explanation:

the total fees are $250, meaning they would still be able to make the fees if they'd oversell the tickets.

each tickets is $5 for students; hence the s

each tickets is $8 for nonstudents; hence the ns

you may replace the variable with anything you'd like or what fits the direction.

The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, The total fees for the high school play are $250. Tickets to the play cost $5 for students and $8 for non students.

Let the cost of students be x and that of non student's be y.

According to question,

5x+8y≥ 250

Hence, The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

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Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

D.

D. natural numbers, whole numbers, and integers