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Nesterboy [21]
3 years ago
13

Find m<1 in the rhombus below

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

m \angle \: 1 = 120 \degree

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

m \angle \: 1 = 120 \degree

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A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because o
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Answer: a. 0.542

b. 0.051

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Step-by-step explanation:

Let p be the population proportion of parents spend too little time with their children because of work commitments

As per given , we have

n= 369

\hat{p}=\dfrac{200}{369}=0.542005420054\approx0.542

Since the sample proportion is the best estimate for the population proportion.

So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542

z-value for 95% confidence interval : z_{\alpha/2}=1.96

Margin of error : E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

E=(1.96)\sqrt{\dfrac{0.542(1-0.542)}{369}}\\\\=0.0508364564574\approx0.051

The margin of error = 0.051

Confidence interval : \hat{p}\pm E

0.542\pm0.051\\\\=(0.542-0.051,\ 0.542+0.051)\\\\=(0.491,\ 0.593)

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : (0.491,\ 0.593)

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3 years ago
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