Of 118 randomly selected adults, 29% said that they had high blood pressure. Find the 95% confidence interval for the proportion of all adults that have high blood pressure. State the interval and write a sentence explaining the information in the interval in the context of the problem.

Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = [tex]\frac{1}{2}(AD+BC)[/tex]

By using expression for the length of a segment between two points,

Length of a segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between two points A(-5, -6) and D(3, 2),

AD = [tex]\sqrt{(3+5)^2+(2+6)^2}[/tex]

AD = [tex]\sqrt{64+64}[/tex]

AD = [tex]\sqrt{128}[/tex]

AD = [tex]8\sqrt{2}[/tex]

Distance between B(-6, -2) and C(-4, 0)

BC = [tex]\sqrt{(-6+4)^2+(-2-0)^2}[/tex]

BC = [tex]\sqrt{8}[/tex]

BC = [tex]2\sqrt{2}[/tex]

Therefore, m(YZ) = [tex]\frac{1}{2}(8\sqrt{2}+2\sqrt{2})[/tex]

                             = [tex]\frac{1}{2} (10\sqrt{2})[/tex]

                             = [tex]5\sqrt{2}[/tex]

Option C will be the answer.

The length of the midsegment YZ is [tex]5\sqrt 2[/tex]

The coordinates are given as:

A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

Start by calculating distance AD and CB using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AD = \sqrt{(3 +5)^2 + (2 +6)^2} = \sqrt{128}[/tex]

[tex]CB = \sqrt{(-6 +4)^2 + (-2 -0)^2} = \sqrt{8}[/tex]

The length of the midsegment is then calculated as:

[tex]YZ = \frac 12 * (AD + CB)[/tex]

This gives

[tex]YZ = \frac 12 * (\sqrt{128} + \sqrt 8)[/tex]

Simplify

[tex]YZ = \frac 12 * (8\sqrt{2} + 2\sqrt 2)[/tex]

[tex]YZ = \frac 12 * (10\sqrt 2)[/tex]

Simplify

[tex]YZ = 5\sqrt 2[/tex]

Hence, the length of the midsegment YZ is [tex]5\sqrt 2[/tex]

Read more about midsegments at:

https://brainly.com/question/7423948

Answer:

Step-by-step explanation:

Volume of the cone:

Substitute values and solve for r:

Answer:

Right triangle

Step-by-step explanation:

becuase it is

Answer:

right triangle

Step-by-step explanation:

=====================================================

Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757  value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

Answer:

the correct answers are A B C E

Answer:

c. 1/x½

x- 12 = 1/x½

hope it helps

Step-by-step explanation:

-

Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows

please folow me❤❤

lets be friends ❤❤

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

Answer:

b.39

Step-by-step explanation:

312 divided by 8 is 39

Answer:

312 divided by 8 = 39, B is your answer

Step-by-step explanation:

You need to spread the books equally amongst the 8 shelves there are. Which means you divide.

Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

Answer:

Blue

Hello there I hope you are having an great day :) If you select a marble without looking which colour are you less likely to pick, All together there is 10 marbles.

Orange : 2/10

Black : 2/10

Green : 5/10

Blue: 1/10

The less Colour is Blue as there is only 1 Marble so it probably the less likely to be picked.

Hopefully that helps you :)

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Answer: 1810 yards

Step-by-step explanation:

Given

Thomas ran 2 miles and Maria runs 50 yards more than half as far as Thomas

We know, 1 mile is equal to 1760 yards

So, Thomas run [tex]2\times 1760=3520\ \text{yards}[/tex]

half of its distance is 1760 yards

So, the distance covered by Maria is 1760+50=1810 yards

Answer:

1

14

The answer is one over fourteen because there are 8 white eggs (remember the 10 brown eggs), and half of them (the white ones) are cracked, so four. And, if you randomly grab an egg, there is 1/14 of a chance you could grab a cracked, white, egg.

Answer:

hexagon

Step-by-step explanation:

i g

Answer:

-2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

-6/3=-2

[tex]a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36[/tex]

Answer:

D

Explanation:

2% = 1.02

4,320 * 1.02 = 4,406

Answer:

72 ounces

Step-by-step explanation:

given that it is holding 12 ounces and it says that the max is 6 times that of the 12 ounces it would be

12×6

thus it would equal 72

Answer:

72 oz.

Step-by-step explanation:

12 oz times 6 duhhhh

Answer:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

Finding the number of T-shirts bought:

According to the question.

Rate × Pieces of T-shirts = Rate × Pieces of T-shirts

⟶ 210 × 16 = 280 × x

⟶ 3360 = 280x

⟶ x = 3360/28

⟶ x = 12

Hence,

Answer:

2/5

Step-by-step explanation:

Answer:

0.15 Gallons

Step-by-step explanation:

9/10 = 0.9 (Conversion)

0.9 ÷ 6 = 0.15