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3 years ago

Simplify the following using scientific notation (8.76×109)(6.52×10-³)/13.27×105

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

8.76 * 10^9 * 6.52 * 10^-3

= 57.1152 * 10^6

57.1152 * 10^6 / 13.27 * 10^5

= 4.30408 * 10^1 which can be written as 43.0408 ( correct to 4 dp's)

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What is the explicit rule for the geometric sequence?<br><br> 600,300,150,75,

JulijaS [17]

Answer:

$a_{n} = 600/2^{n-1}$

This the correct answer

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3 years ago

Write 4 3/7 as a decimal.

Citrus2011 [14]

Hi!

There are two ways to do this.

1. Start with the first part of the decimal, (4.) then divide 3/7 to get the second part.

3/7 = 0.43

4.43

2. Convert the mixed number 4 3/7 to a fraction.

4 x 7 = 28
28 + 3 = 31

31/7

Now convert that into a decimal.

31/7 = 4.43

The answer is 4.43

Hope this helps! :)

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3 years ago

Read 2 more answers

Best and correct answer gets brainliest!!!

dmitriy555 [2]

59 degrees!
because you set up your problem: 3c+2+2c-7=90
then combine all like terms: 5c-5=90
Add 5 to both sides: 5c=95
then divide both sides by 5: c=19
Plug in your answer: 3(19)+2=59

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3 years ago

A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti

jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

$\pi = \frac{0.438 + 0.642}{2} = 0.54$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}$