A 2010 study asserts that the number of hours that the average college student studies each week has been steadily dropping (The Boston Globe, July 4, 2010). In fact, the researchers state that, in the U.S., today’s undergraduates study an average of 14 hours per week. Suppose an administrator at a local university wants to show that the average study time of students at his university differs from the national average. He takes a random sample of 35 students at is university and finds that the average number of hours spent studying per week is 16.7. Assume that the population standard deviation is 7.2 hours. At 0.05 level of significance, what is the test statistics for testing the hypotheses H0: µ = 14 versus H1: µ ≠ 14?

Answer:

3 and 1 respectively.

Step-by-step explanation:

Subtract 3 from 4.

4 = 3 + x

4 - 3 = x

1 = x

Multiply 1 by 1.

The no. of pets friend has = 1

-20-55=-75-5=-80

-80-2=-82-1=-83

-83-27=-110

hope it helps!

Answer:

Find the difference (subtract) between the accepted value and the experimental value, then divide by the accepted value. To determine if a value is precise find the average of your data, then subtract each measurement from it.

Step-by-step explanation:

Answer:

If x^n  = y, then y is a power of x

Step-by-step explanation:

Take two numbers, x & y

To check whether, y is a a power of x

By hit & trial method, calculate x^n (approximately considered to near y). Try for many such no.s

If at any value x^n = y, then y is a power of x

Ex : Let x = 5, y = 625

By hit & trial, n = 3 or 4,

5^3 = 125 , 5^4 = 625

So, 625 is a power of x

Area of a square = side^2

In this problem,

Side = 4in

Therefore,

Area = 4^2 = 16in^2

Area of a rectangle = length * width

In this problem,

Length = 6in

Width = 12.5in

Area = 75in^2

Area of a parallelogram = base * height

In this problem

Base = 10in

Height = 3.5in

Area = 3.5 * 10 = 35in^2

Now we add up the area from each shape

35 + 75 + 16 = 126in^2

Answer:

its A

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

y = -2/7x + 2

Step-by-step explanation:

If we rewrite 6x+14y=28 into slope intercept form, it becomes 14y = -6x +28. When we divide the whole thing by 14 to get a singular y, -6x becomes -2/7x since 6/14 = 2/7, and 28 becomes 2.

Answer:

5 feet and 6 inches

Step-by-step explanation:

5 feet is 60 inches

Answer:

5 feet 6 inches

a foot is 12 inches. Go by 12s until you get to a number that's as close as you can make it without going overboard, then count what's left. 12 × 5 = 60, 66 - 60 = 6, hence 5 feet 6 inches

Answer:

-3x-x^2

Step-by-step explanation:

LM + MN = LN

5x + 5 = 11x - 1

Add 1 to both sides and subtract 5x from both sides

6 = 6x

Divide each side by 6

1 = x

MN = 5

LM = 5(1) = 5

LN = MN + LM = 5 + 5 = 10

Answer:

8

Step-by-step explanation:

To find the average rate of change we use the function

[tex]f(x) = \frac{f(b) - f(a)}{b - a} \\ f(x) = \frac{f(6) - f(1)}{6 - 1} \\ \frac{(8(6) - 3) - (8(1) - 3)}{5} \\ \frac{48 - 3 - (8 - 3)}{5} \\ \frac{45 - 5}{5} \\ \frac{40}{5} \\ 8

[/tex]

Step-by-step explanation:

55. 162 +54=216

216-75=141

balance $141

Answer:

D

Step-by-step explanation:

Delta x is 7 and delta y is 2, according to Pythagoras a^2+b^2=c^2 so 49+4=53 and sqrt(53) is your answer.

Answer:

Step-by-step explanation:

(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.

(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.

(C) Example of a second order linear ODE:

M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)

The equation will be homogeneous if K(t)=0 and heterogeneous if [tex]K(t)\neq 0[/tex]

Example of a second order nonlinear ODE:

[tex]Y=-3K(Y){2}[/tex]

(D) Example of a nonlinear fourth order ODE:

[tex]K^4(x) - \beta f [x, k(x)] = 0[/tex]

Answer:

6/2 (1+2) = 9

Step-by-step explanation:

6/2 (1+2)

Order of operations PEMDAS

Parentheses first 6/2(3)

Multiplication and division go left to right

3(3)=9

Answer:6÷2(1+2)×3

Step-by-step explanation:

Answer:

22 people

Step-by-step explanation:

If 4 groups of 3 people leave, multiply:

4 x 3 = 12

5 groups of 2 people leave, multiply:

5 x 2 = 10

Now add:

12 + 10 = 22 people that left the restaurant.

Good luck, hope this helped!

Answer:

1,280

Step-by-step explanation:

The triangles UVW and XYZ are concurrent and similar, so option A is correct.

Triangle is one of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices, known as triangle.

Given:

Angles VUW and ZXY are congruent, angles UWV and XZP are congruent, and angles UVW and ZYX are congruent. The length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.

Here the triangles are congruent by the AAA congruence and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 and the side of the second triangle is also in the ratio 32:40:48 = 4:5:6 therefore they are also similar.

Therefore, the triangles UVW and XYZ are concurrent and similar.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ6

Answer: B: They are similar, but not congruent

Step-by-step explanation: edge2022

Answer:  Each lemon costs 75 cents

Step-by-step explanation:

If you divide 8 from 6 then the answer is .75 and that is your answer.

Answer:

Step-by-step explanation:

2t + 1.5s = 11

3t + 4s = 23.50

6t  + 4.5s = 33

-6t - 8s =   -47

-3.5s = -14

s = $4 a pound for sunflower seeds

Answer:

  4 < 2a -4 < 10

Step-by-step explanation:

You have an expression for 'a'. To get an expression for 2a-4, multiply it by 2 and subtract 4.

  4 < a < 7

  8 < 2a < 14 . . . . . . multiply by 2

  4 < 2a -4 < 10 . . .  subtract 4

Answer:

0.20613038098

Step-by-step explanation:

The formula for Binomial Probability =

P(X) =[ n!/(n - x)! × x! ] × p^x × q^n - x

From the question

x = 5

n = 15

p = 0.3

q = 1 - p

= 1 - 0.3 = 0.7

P(x = 5) = [15!/(15 - 5)! × 5! ] × 0.3^5 × 0.7^15 - 5

P(x = 5) = 3,003 × 0.3^5 × 0.7^10

P(x = 5) = 0.20613038098

Therefore, P(x = 5) = 0.20613038098

Answer:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEeeeeEEEEEEEEEEEEeeeeeee make sure you thank it.

Step-by-step explanation:

Answer:

1278.8 ft^3

Step-by-step explanation:

radius of cylinder = r = 5.8 ft

height of cylinder = h = 8.9 ft

radius of cone = r = 5.8 ft

height of cone = H - h = 18.5 ft - 8.9 ft = 9.6 ft

volume = volume of cylinder + volume of cone

V = (pi)(r^2)h + (1/3)(pi)(r^2)(H - h)

V = (3.14159)(5.8^2 ft^2)(8.9 ft) + (1/3)(3.14159)(5.8^2 ft^2)(9.6 ft)

V = 1278.8 ft^3

Answer:

If you use 3.14 for pi

1278.1 ft^2

Using the pi button on the calculator

1278.8 ft^2

Step-by-step explanation:

First find the volume of the cylinder

V = pi r^2 h where r is the radius and h is the height of the cylinder

V = pi ( 5.8) ^2 ( 8.9)

V = pi *33.64 * 8.9

V = 299.396 pi

The find the volume of the cone

V= 1/3 pi r^2h

The height of the cone is  18.5- 8.9 =9.6

V= 1/3 ( pi ) ( 5.8)^2 ( 9.6)

V= 1/3 ( pi ) 33.64 ( 9.6)

V = 107.648 pi

Add the two volumes together

299.396 pi + 107.648 pi

407.044 pi

If you use 3.14 for pi

1278.11816 ft^2

Rounding to the nearest tenth

1278.1 ft^2

Using the pi button on the calculator

1278.76644

Rounding to the nearest tenth

1278.8 ft^2

Answer:

Graph b

Step-by-step explanation:

ED2020

Answer:

Yes

Step-by-step explanation:

A number that can be written as a ratio of two integers, of which denominator is non-zero, is called a rational number.

Therefore 2/3 is a rational number.

Answer:  x=45

STEPS:

1

Add the same term to both sides of the equation

2

Simplify

3

Multiply all terms by the same value to eliminate fraction denominators

4

Simplify

Answer:

x = 45

Step-by-step explanation:

x/5 + 7 = 16

      - 7 = - 7

x/5 = 9

x times 5 = 9 times 5 = 45

therefore x = 45

Answer:

24877.5

Step-by-step explanation:

%7 of 26,750 is 1,872.5

Subtract: 26,750 - 1,872.5

Then the answer is 24877.5