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3 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

Question:

Twice the difference of a number and 5 is equal to 9 .

Answer:

$2x - 5 = 9$

Step-by-step explanation:

Required

Translate

Let the number be x

Twice the number, x is $2x$

The difference between (above) and 5 is $2x - 5$

This equals to 9.

So, the expression becomes

$2x - 5 = 9$

Solving further:

$2x = 5 + 9$

$2x = 14$

Divide through by 2

$x = 7$

<em>Hence, the number is 7</em>

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Answer: a. 0.542

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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 : $z_{\alpha/2}=1.96$

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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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