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Novosadov [1.4K]
3 years ago
9

Umm i need help bad my work is justtt not one of dem

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

? = 8a

The other blank textbox = 35

Step-by-step explanation:

You are using the distributive property which means multiplying the number in front of the parentheses to the equation within the parentheses.

The number in-front is '8' for this equation.

The equation within the parentheses is ( a + 5 )

8 ( a + 5 )

You multiply the 8 to the equation in the parentheses.

8 * a

8 * 5

8 * a = 8a

8 * 5 = 40

So,

? = 8

The other blank equals 40

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
Adam went on a shopping trip to Somerville. He purchased a set of dishes originally priced at
RUDIKE [14]

Answer:187.2

Step-by-step explanation:

Actual price $390

After 60% discount price will be 156

And Sales tax is 8% . Then the price of sales tax is $31.2.

156+31.2= $187.2

5 0
3 years ago
Is this correct pls help
Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \pi r^2h (where r is the radius and h is the height)

Radius = \dfrac12 diameter ⇒ r=\dfrac72=3.5

⇒ volume of round cake pan = \pi \times 3.5^2 \times 2=24.5\pi

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = wlh (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0
2 years ago
A carpenter bought a piece of wood that was 112 centimeters long. Then he sawed 24.53 centimeters off the end. How long is the p
saul85 [17]

Answer:

87.47 cm

Step-by-step explanation:

112-24.53 is 87.47

8 0
3 years ago
2. Find the area. The figure is not drawn to scale.<br> 4 cm<br> 17 cm
BabaBlast [244]
area=base x height so i’m thinking it’s 4x17=68
7 0
3 years ago
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