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gavmur [86]
3 years ago
11

ASAP

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

The answer is C.) (0, 5)

Explaintion is in the pictures

I believe this is the answer if it isn't I'm sorry for wasting your time by answering.

Hope this helps!

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If a varies jointly with b and c and a = 2.53 when b=5.5 and c = 0.92. Find the constant of variation.
SOVA2 [1]

Answer:

0.9

Step-by-step explanation:

0.9

4 0
3 years ago
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o
KengaRu [80]

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean \mu _{\hat p} = p = 0.39

The standard deviation;

\sigma = \sqrt{\dfrac{p(1-p)}{n} }

\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }

\sigma = 0.048

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0488}

Z = -1. 8 4

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -1.84)

\mathbf{P (\hat p \le 0.3 ) = 0.0329}

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean \mu_{\hat p} =  p = 0.39

the standard deviation \sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }

\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }

\sigma_{\hat p} =0.0244

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0244}

Z = -3.69

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -3.69)

\mathbf{P (\hat p \le 0.3 ) = 0.0001}

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

6 0
2 years ago
Which is greater 4.08 or 4.1
zimovet [89]

Answer:

4.1 is greater

Step-by-step explanation:

4.1 is greater than 4.08 by 0.02 units

7 0
3 years ago
Read 2 more answers
What is the area of the composite figure? Enter your answer as a decimal in the box. cm2​
OverLord2011 [107]
Area = 7 x 7 + 1/2 x 7 x 3
= 49 + 10.5
= 59.5cm2
8 0
2 years ago
Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate​ formulas, find the
Grace [21]

Answer:

a.\  \mu_p=750\ \ , \sigma_p=0.005\\\\b.\  \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\  \mu_p=75\ \ , \sigma_p=0.0160

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion  of n=5000 is calculated as:

\mu_p=np\\\\=0.15\times 5000\\\\=750

-The standard deviation is calculated using the formula:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion  of n=1000 is calculated as:

\mu_p=np\\\\=1000\times 0.15\\\\\\=150

#-The standard deviation is calculated as follows:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

\mu_p=np\\\\\\=0.15\times 500\\\\=75

#The standard deviation of the sample proportion is calculated as:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0
3 years ago
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