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3 years ago

Help me with this plsss

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

a. 8 x 7 x 1/2 = 56 x 1/2 = 28

b. 24 x 14 x 1/2 = 336 x 1/2 = 168

c. 5 x 12 x 1/2 = 60 x 1/2 = 30

d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6

two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32

rectangle: 15 x 8 = 120

total area: 32 + 120 = 152

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Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 14 strawberries, how many grapes will she us

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Answer:

28 grapes

Step-by-step explanation:

14 divided by 2 is 7 so you multiply 7 by 4 and you get 28

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Solve for x. 45(15x+20)−7x=56(12x−24)+6

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Answer:

The value of the equation for x is $x=\frac{1119}{2}$ or 559.5.

Step-by-step explanation:

Consider the provided equation.

$45(15x+20)-7x=56(12x-24)+6$

We need to solve the equation for x.

Use the distributive property: $a(b+c)=ab+ac$

$45(15x+20)-7x=56(12x-24)+6$

$675x+900-7x=672x-1344+6$

Add the like terms.

$668x+900=672x-1338$

Isolate the variable as shown:

$672x-668x=900+1338$

$4x=2238$

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3 years ago

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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:

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

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

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From the z - tables;

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(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;

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

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

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.

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Answer:

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Step-by-step explanation:

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