A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).

a. 0.730
b. 0.765
c. 0.770
d. 0.795

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

multiply (x+6) by 2/3

2/3x + 4 = -18

subtract 4 from both sides

2/3x + 4 - 4 = -18 - 4

2/3x = -22

multiply by 3/2

2/3 x 3/2 x = -22 x 3/2

x = -33

Step-by-step explanation:

so we basically  simplify the equation to the form, which is simple to understand

2/3(x+6)=-18 then Reorder the terms in parentheses

+( + 0.66666666666667x+4)=-18 after that

Remove unnecessary parentheses

+ 0.66666666666667x+4=-18 then We move all terms containing x to the left and all other terms to the right.

+ 0.66666666666667x=-18-4 so We simplify left and right side of the equation.

+ 0.66666666666667x=-22 We divide both sides of the equation by 0.66666666666667 to get x.

x=-33 get it?

Answer: 2/3 of paper

Step-by-step explanation: 2 papers divided by 3 students would be 2/3 of paper for each

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

D

Step-by-step explanation:

That's the answer.......

Answer:

D

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

[tex]\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11[/tex]

x = 44

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

Answer:

a. Length = 13 yards and Width = 21 yards.

b. Area of rectangle = 273 square yards.

Step-by-step explanation:

Let the length of the rectangular garden be L

Let the width of the rectangular garden be W

Given the following data;

Perimeter of garden = 68 yards

Translating the word problem into an algebraic equation, we have;

W = 2L - 5 ......equation 1

Note: The formula for calculating the perimeter of a rectangle is;

[tex]P = 2L + 2W[/tex]

68 = 2L + 2W ........equation 2

Substituting eqn 1 into eqn 2;

68 = 2L + 2(2L - 5)

68 = 2L + 4L - 10

68 = 6L - 10

6L = 68 + 10

6L = 78

L = 78/6

L = 13 yards

To find the width;

W = 2L - 5

W = 2(13) - 5

W = 26 - 5

W = 21 yards.

b. To find the area of the garden;

Area of rectangle = length * width

Area of rectangle = 13 * 21

Area of rectangle = 273 square yards.

I think the mathematical equation for this sentence is

(Step 1)

4x-18=5                    Add 18 to both sides to get the numbers on the same

 +18  | +18              Side of the equals sign.

----------------------      

4x =23

(Step 2)

4x =23  / 4           Divide equation by four

x=5.75                     The answer is X=5.75

Hope I was able to help :)

Answer:

Assuming you wanted to find that mystery number:

It would be 5.75.

Step-by-step explanation:

5 = 4x - 18

Add 18 to both sides of the equation:

5 + 18 = 4x - 18 + 18

23 = 4x - 18 + 18

23 = 4x

Divide each side by 4:

(23/4) = (4x/4)

23/4 = x

5.75 = x

x = 5.75

Answer: 28.5cm squared

Answer:

4cm². Hop it helped

Step-by-step explanation:

Answer:

3 mi/min

Step-by-step explanation:

speed =distance/time

900/300=3

Answer:

B. -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Calculus  

Integrals  

Integration Rule [Reverse Power Rule]:                                                                [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]  

Integration Property [Swapping Limits]:                                                                  [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                           [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]  

Integration Property [Addition/Subtraction]:                                                         [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]  

Integration Property [Splitting Integral]:                                                                 [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]  

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]

[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]

[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]

Step 2: Redefine

Manipulate the given integrals.

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

1 1/2

Hope that helps!

Step-by-step explanation:

Answer:

t r u e

Step-by-step explanation:

Answer:

The expression is not equivalent because you cannot combine 2 variables that are different from eachother.

Step-by-step explanation:

you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.

Answer:

72

Step-by-step explanation:

have a great day

Answer:

The equation that models the situation is [tex]y = 8 - 0.75t[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.

A candle is 8 inches tall and burns at 3/4 inch each hour.

Using t as number of hours and y as the height.

Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]

Burns at 3/4 inch each hour.

That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]

So

[tex]y = 8 - 0.75t[/tex]

Answer:

£36

Step-by-step explanation:

7-3=£9.60/4

4units=£9.60

1 u=£9.60÷4=£2.40

total units->5+3+7=15

15 units=15×£2.40=£36

Answer:

12hr, 66mins, 1.23245 sedconda

Step-by-step explanation:

fvavdfbgthujiugfd

Answer:

D. The rate of change for function B is greater than the rate of change for function A

Step-by-step explanation:

Function a has a slope (aka rate of change) of 3/3

I know this because we start at (-3, 0) then finish at (0, 3)

We added 3 to both the x value and the y value.

3/3 = 1, so we have a rate of change of 1 for function A

Now that we know this, we can write the equation out into slope intercept form.

We can get y = x + 3

The equation for function B is y = 5x + 5

The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A

Answer:

what is this............

Answer:

41

Step-by-step explanation

because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.

the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.

so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.

then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]

then you add the two numbers and you get 1681=[tex]c^{2}[/tex]

u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]

simplify that, and you get c=41

hopefully that helped ! :)

Answer:

these rates are equivalent.

12bottles/$4= 18bottles/$6= 3bottles/$1

Step-by-step explanation:

Answer:

530.7

Step-by-step explanation:

A circle's area is defined as πr²

You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:

3.14×13²

When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7

Hope this helps!

Answer:

y = -48

x = 0

Step-by-step explanation:

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and

The angle vertical to 160 is also 160.

So you have 320

You have 320 out of a full circle, 360.

If there's two angles left, equal to each other

Then they each would be 20 degrees.

I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.

Answer:

The remaining angles are 20°, 160° and 20°

Step-by-step explanation:

Since a circle has 360° and one angle is know, the remaining angles can be found.

Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.

The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.

Let's say the remaining angles are values "x".

360° must equals 160° + 160° + x + x

360 = 160 + 160 + x + x

360 = 320 + 2x

40 = 2x

x = 20

The remaining two angles are 20°

Answer:

D) 1,000,000

Step-by-step explanation:

Here it is.