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djyliett [7]
4 years ago
12

What is tbe area of the rhombus?

Mathematics
1 answer:
vodka [1.7K]4 years ago
3 0

d₁ = 4 + 4 = 8

d₂ = 3 + 3 = 6

The area of the rhombus:

8 · 6/2 = 8 · 3 = 24 {u²]

First answer.

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3 years ago
A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

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 is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
PLEASE HELP ME FAST! IF GIVEN GOOD ANSWERS WILL MARK AS BRAINLIEST!
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Answer:

Step-by-step explanation:

1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.

We find that this is of the form y = mx + B where

m = 10 and B = 30

Hence slope = m = 10

Answer is 10,

and it represents the rate of change of y for a unit change in x.

2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.

3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".

That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!

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3 years ago
17. Subtract the quotient of 18 and 2 from the sum of 22 and 9.
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Answer:

B. 22

Step-by-step explanation:

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3 years ago
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Factor the expression shown below completely.
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I need question for the "factor" problem


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