12ad^3 and which terms are like terms? 15a^3d 12d^3 3ad^3 10ad

1 answer:

8 0

Like terms are terms with the exact same variables, and the exact same degree of each variable...simply put, the exponents of each variable have to be exactly the same.
The given term 12 ad³ has variables a and d. a has a degree of 1 and d has a degree of 3.
The term 3ad³ has the same variables and the same degree, and is therefore the like term.

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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

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alexgriva [62]

Answer:

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Step-by-step explanation:

add 776 by 1444 then using the sum subtract it by 1814 to get answer

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3 years ago

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