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3 years ago

What is the area of triangle GHJ?

Mathematics

2 answers:

Aliun [14]3 years ago

7 0

1) Formula:

area of a triangle = base * height / 2

2) data:

base = segment HG = 4 - 1 = 3

height = segment JH = 5 - 1 = 4

3) calculations:

area = 3 * 4 / 2 = 12 / 2 = 6

Answer: 6 square units.

ira [324]3 years ago

7 0

The answer is 6 sq. units on e2020.

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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

KengaRu [80]

Answer: a. 0.542

b. 0.051

c. $(0.491,\ 0.593)$

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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4 years ago

F(x) = 8cos(2x) on (0,2π)

Leviafan [203]

Answer:

Step-by-step explanation:

First put the lower limit, i.e., x=0,

F(x)=8cos[2(0)]=8cos(0)=8(1)=8

;cos(0)=1

Now,put the upper limit of given interval, i.e., x = π,

F(x)=8cos[2(π)]=8cos(2π)=8(1)=8

;cos(2π)=1

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4 years ago

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pochemuha

One twelths 1/12 try to find a commen denominator or use a caculator

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Volume ≈ 84.8 m³

Option D.

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