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3 years ago

MNOP is a trapezoid with median QR. Find x

Mathematics

1 answer:

nikitadnepr [17]3 years ago

5 0

$\bf \large \rightarrow \: \:2x \: + \: 8 \: = \: 0$

$\bf \large \rightarrow \: \:x \: = \: \frac{8}{2} \\$

$\bf \large \rightarrow \: \:x \: = \: \cancel\frac{ 8}{ 2} \: \: ^{4} \\$

$\bf \large \rightarrow \: \:x \: = \: 4$

Option ( A ) is the correct answer.

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Mike has a large tropical fish collection.He gives 2/3 of his fish to a local high school. Then gives 2/5 of the remaining fish

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If you divide the 2 in 3 you get .6 and if you divide 2 in 5 ou get ,4 now add them you and get 1 now add that 1 to 30 your answer should be 31

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3 years ago

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3 years ago

In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.82, n = 225$ .

$\mu = 0.82$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256$

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

7 0

3 years ago

Read 2 more answers

How do you do this question?

IRINA_888 [86]

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

∑ (-1)³ⁿ 1 / (8 + n)

Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.

5 0

3 years ago

Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long s

slega [8]

Answer:

<u>The correct answer is C. 6, 8 and 9 inches.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.

Scale used : 1 inch = 2 feet.

2. How long should the sides of the triangle be in inches?

For calculating the length of the sides of the triangle in the draw, we use the scale this way:

1st Side = 12 feet

12 feet/2 = 6 inches

2nd Side = 16 feet

16 feet/2 = 8 inches

3rd Side = 18 feet

18 feet/2 = 9 inches

<u>The correct answer is C. 6, 8 and 9 </u>

8 0

3 years ago