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3 years ago

3 x 10^8/3.4 x 10^2 solved

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer: See explanation

Step-by-step explanation:

3 × 10⁸ ÷ 3.4 × 10²

(3 × 100000000) ÷ (3.4 × 100)

300000000 ÷ 340

882352.94117

Round to the nearest hundredth

882352.94117 ≈ 882352.94

Round to the nearest tenth

882352.94117 ≈ 882352.9

Round to the nearest whole number

882352.94117 ≈ 882353

Hope I helped!

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Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of

anyanavicka [17]

Answer:

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Of 150 adults selected randomly from one town, 30 of them smoke. This means that $n = 150, p = \frac{30}{150} = 0.2$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 - 2.575\sqrt{\frac{0.20*0.80}{150}} = 0.1159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 + 2.575\sqrt{\frac{0.20*0.80}{150}}{119}} = 0.2841$

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

3 0

3 years ago

Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34

frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Data given;

x1 = 3
x2 = -3
y1 = 5
y2 = r
m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

$m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\$

cross multiply both sides and make r the subject of formula

$34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199$

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

$\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}$

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

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2 years ago

Classify the following triangle as acute, obtuse, or right

vekshin1

The answer is Acute

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3 years ago

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Gracelyn has multiple sticks of different lengths to build a triangle for a class project. Which 3 lengths could Gracelyn choose

romanna [79]

Hello

11 cm, 25 cm, 15 cm
if you add the lengths of two sides of the triangle, it must be greater than the length of the third side

therefore, the only possible lengths are 11 cm, 25 cm, 15 cm

Have a nice day

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3 years ago

This morning I went to Larry's for breakfast.

Olin [163]

Answer:

9 dollars and 18 cents

Step-by-step explanation:

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