A university health services physician is concerned about how much sleep freshmen are getting. She asks a simple random sample of 50 students if they got at least 8 hours of sleep the previous night. Then she constructs a 95% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night

Answer:

2nd answer choice :)

Step-by-step explanation:

The new figure produced is given below.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the figure be in the first quadrant.

Now,

Rotation of 180-degree means,

The figure will be in the third quadrant.

Now,

Dilation with a factor of 1/2.

This means,

The figure will shrink by 1/2.

Thus,

The new figure is given below.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ5

Answer:

Area of pit = 28.28 ft² (Approx)

Step-by-step explanation:

Given:

Diameter of pit = 6 ft

Radius  of pit = 6 / 2 = 3 ft

Find:

Area of pit

Computation:

Area of circle = πr²

Area of pit = (22/7)(3)²

Area of pit = 28.28 ft² (Approx)

9514 1404 393

Answer:

  linear: blue graph, Table 2, 2x-3y=7, y=-4

  nonlinear: red graph, Table 1, Table 3, y=2x^2+4, y=3/x+2

Step-by-step explanation:

It is hard to check answers when you don't know the question. Apparently, there are additional features of the question that are not shown.

__

The equation of the red graph is y=(x+5)³. (nonlinear)

The equation of the blue graph is y=2x-6. (linear)

The equation of Table 1 is y=x². (nonlinear)

The equation of Table 2 is y=2x+4. (linear)

The equation of Table 3 is y=|x|. (nonlinear)

__

You have correctly classified the equations we see. We can't tell if there are more that we don't see.

_____

The tables all have sequential values of x, so the way to tell linear/non-linear is by looking at first differences in the y-values:

  Table 1: 4-1 = 3; 9-4 = 5 . . . . different, so non-linear

  Table 2: 8-6 =2; 10-8 = 2; others are also 2 . . . . all the same, so linear

  Table 3: 1-2 = -1, 0-1 = -1, 1-0 = 1 . . . . different, so non-linear

Answer:

V ≈ 3053.63 in

Step-by-step explanation:

Answer:

975 / 17 = 57 R 6

Step-by-step explanation:

To get a good starting point, let's round these values to "nicer" numbers. 975 is close to 1000, and 17 is close to 20, and 1000 / 20 = 50, so let's start by looking at 17 x 50 and go from there.

There are a few ways to calculate 17 x 50, but here I'm gonna go off what we already know: 20 x 50 = 1000, and 20 - 3 = 17, so 17 x 50 = 20 x 50 - 3 x 50, or 1000 - 150, which is 850. How many more 17s can we fit from 850 to 975? Well, the difference between the two numbers is 125, so finding the quotient of 125 and 17 should be enough: 17 fits into 125 7 times, with 6 remaining.

Altogether then, 975 / 17 has a quotient of 50 + 7 = 57, and a remainder of 6.

Answer:

Step-by-step explanation:

5 and 5

Answer:

the decimal point should be moved 5 places to the right because there are five zeros in 10 with the power of 5

Step-by-step explanation:

Answer:

66

Explanation

Answer:

Step-by-step explanation:

[tex]A=P(1+r)^t\\ d=12000((1.0475)^5-(1.05)^4\\ \\ d=\$ 547.84[/tex]

Answer:

x=3

Step-by-step explanation:

cross multiply 2(x+3)=4x

2x+6=4x

6=2x

x=3

Answer:

x= 5/4

Step-by-step explanation:

x + [tex]\frac{3}{4\\}[/tex] = [tex]\frac{x}{2}[/tex]

  - [tex]\frac{3}{4}[/tex]     -[tex]\frac{3}{4}[/tex]

X = [tex]\frac{5}{4}[/tex]

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

12/(3/5)

12(5/3)

60/3

20

Answer:

y = (x + 4.5)² - 13.25

Step-by-step explanation:

y = x² + 9x + 7

We need to get a perfectly squared binomial as part of the right side.

Take the '9x' term, divide it in half, square it, add and also subtract it on the right side, as shown below. That would be (4.5)² = 20.25 added and subtracted.

y = x² + 9x        + 7

y = x² + 9x + 20.25       + 7 - 20.25

y = (x² + 9x + 20.25)  - 13.25

y = (x + 4.5)² - 13.25

y = (x + 4.5)² - 13.25

Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)

So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.

Vertex = (-4.5, -13.25)

I verified on a graphing calculator that this is indeed the vertex of the parabola.

Answer:

C) -1/4x+2=2x-7

Step-by-step explanation:

-1/4(4)+2=2(4)-7

-1+2=8-7

1=1

Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3

Step-by-step explanation:

In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.

Then the correct option is d.

Where the degree of the first term is (4 + 1) = 5

The degree of the second term is (2 + 2) = 4

The degree of the third therm is 3.

We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:

-3*x^4*y + 2*x^2*y^2 + 5*y^3

Answer:

x = 11

Step-by-step explanation:

x + 8 = 19        subtract both sides by 8

x = 11

Hey there!

x + 8 = 19

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 19 - 8

CANCEL out: 8 - 8 because it give you 0

KEEP: 19 - 8 because it give you the x-value

NEW EQUATION: x = 19 - 8

SIMPLIFY IT!

x = 11

Therefore, your answer is:

x = 11 (Option A)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

160%

Step-by-step explanation:

Because the first square (the one to the left) is shaded to the brim, it represents 100%.

The second square (the one to the right) is shaded only until the 6th row, we can say that it is shaded 6/10 rows, or 60%.

Lastly, add the percentages of the two squares => 100% + 60% = 160%

Answer:

what is it asking

Step-by-step explanation:

Answer:

X Y

10 7

8 5

6 3

Step-by-step explanation:

Not much to explain - just put a number 3 smaller than X into column Y

The required table for the given rule can be completed as follows:

X Y

10 7

8 5

6 3

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The rule is given in the question, as follows:

y is 3 less than x

For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.

For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).

Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).

The table for the given rule can be completed as follows:

X Y

10 7

8 5

6 3

Learn about the linear relationship here :

https://brainly.com/question/11663530

#SPJ5

Answer: Yes, they are mutually exclusive. You cannot have 2+ heads and 0 heads at the same time. They are not independent. The result of 2+ heads nullifies the chance that 0 heads are flipped!

Answer:

3

Step-by-step explanation:

399-360=39

Answer:

the answer would be D

Step-by-step explanation:

sec = 1/cos

Answer:

-42, Ive gotten those same scams as answers too lol

Step-by-step explanation:

g = -7

f = 0

0 - (-7) times (-6)

7 times (-6)

-42

Answer:

12.6

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

you are given c & b you have to find a so

c^2-b^2=a^2

196-36=160

take the square root of 160

12.6 is the final answer :)

Answer:

initial value is 21

Step-by-step explanation:

y=mx+b

6= -3(5) +b

b=21

Answer:

D.

Step-by-step explanation:

Sana makatulong pag Mali EDI Mali

Answer:

80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2⁴ · 5

Step 2: Evaluate

Answer:

[tex] - 2x - 2x = 729 + 3 - 27 - 1 \\ [/tex]

[tex] - 4x = 704[/tex]

[tex]x = -704 \div 4 = -176[/tex]