If a recipe calls for 8 pounds of trimmed celery, which has a 75 percent yeild,how many pounds of untrimmed celeray are needed

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

3 years ago

How can you write the equation for a linear function if you know only two ordered pairs for the function?

dedylja [7]

Answer:

See below

Step-by-step explanation:

We first have to understand the parts of a y=mx+b equation

y=mx+b

m: Is the slope

b: Is the y-intercept

x: is the x part of (x,y)

y: is the y part of(x,y)

So...

if we use an example ordered pair like (1,3)

and a slope of 2

We can plug everything into y=mx+b to get

1=2*3+b which simplifies to b= -5

Now, you can use this concept to fill in the blanks below:

Use the two ordered pairs to find the slope, (m).

Then substitute the slope, and (one set of ordered pairs) into y=mx+b to solve for (b).

6 0

3 years ago

Based on lines 63-67 ("nobody . . . sheep"), the author

serious [3.7K]

(C) "having a deep fondness for border collies and therefore overestimating them"

While acknowledging that "dogs may be noble, charming, loyal, and dependable," the author of Passage 1 speculates that they might not have "earned those extra intellect points." In contrast, the author's admiration for dogs may lead one to believe that the depiction of "pure intelligence shining in the face of a border collie" in lines 63–67 is exaggerated.

The answer is not (A). Passage 1's author would probably assume that Passage 2's author has a strong emotional bond with dogs. (B) is the wrong answer. The subjective assessment of canine intellect is shown in lines 63–67. They don't imply that the author of Passage 2 has in-depth understanding of the relevant studies.

The answer is not (D). Despite the fact that the author of Passage 2 appears to prefer personal experience over the findings of scientific investigations, lines 63–67 do not demonstrate any scorn for "traditional" research. The answer is not (E).

It would be harsh to assert that the author of Passage 2 has a limited understanding "of what constitutes intelligence" despite the fact that the two authors may hold different opinions on the degree to which dogs are able to reason.

Here's another question with an answer similar to this about dogs:

brainly.com/question/18951741

#SPJ4

5 0

2 years ago

Math be like 0-0????

pashok25 [27]

Answer: A & C

<u>Step-by-step explanation:</u>

HL is Hypotenuse-Leg

A) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

a leg from ΔABC ≡ a leg from ΔFGH

Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

B) a leg from ΔABC ≡ a leg from ΔFGH

the other leg from ΔABC ≡ the other leg from ΔFGH

Therefore LL (not HL) Congruency Theorem can be used.

C) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

at least one leg from ΔABC ≡ at least one leg from ΔFGH

Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

D) an angle from ΔABC ≡ an angle from ΔFGH

the other angle from ΔABC ≡ the other angle from ΔFGH

AA cannot be used for congruence.

5 0

4 years ago

What percent of 287.5 is 46

lozanna [386]

46/287.5 = .16
.16x287.5 = 46

The answer is 16%

3 0

3 years ago

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