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4 years ago

Solve z2 – 2z – 35 = 0 using the zero product property.

Mathematics

1 answer:

elena55 [62]4 years ago

3 0

Z^2 - 2z - 35 = 0
(z - 7)(z + 5) = 0

z - 7 = 0
z = 7

z + 5 = 0
z = -5

solution is : z = 7,-5

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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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3 years ago

A store is selling laptops for $800 each. Use this information to fill in the table. Then plot the ordered pairs given by the ta

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Answer:

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3 years ago

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mihalych1998 [28]

Draw 12 dollars and 37 pennies! vote me brainliest :)

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4 years ago

Read 2 more answers

Please help me get the answer

Dima020 [189]

Answer:

x = 0
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Step-by-step explanation:

f(x) = g(x) when the values in the right two columns of the table are the same. That is the case for ...

x = 0, f(x) = -3, g(x) = -3
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The two correct answer choices are ...

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3 years ago

Which is the correct simplification of 2.2x10^4/8.8x10^9

sergij07 [2.7K]

Expression is: 2.2 × 10⁴ / 8.8 × 10⁹
= 1 × 10⁴ / 4 × 10⁹
= 0.25 × 10⁴⁻⁹
= 0.25 × 10⁻⁵
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In short, Your Answer would be: Option D

Hope this helps!

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4 years ago