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Mrac [35]
3 years ago
9

In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t

he margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality.
Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer: |p-72% |≤ 4%

Step-by-step explanation:

Let p be the population proportion.

The absolute inequality about p using an absolute value inequality.:

|p-\hat{p}| \leq E , where E = margin of error, \hat{p} = sample proportion

Given:  A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .

|p-72% |≤ 4%

⇒    72% - 4% ≤ p ≤ 72% +4%

⇒  68%  ≤ p ≤  76%.

i.e. p is most likely to be between 68% and 76% (.

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eimsori [14]

Answer:

0.62

Step-by-step explanation:

Think of the answer like it's money. If I have 0.62 cents and everyone else has a total of 6 dollars, I would have the smallest amount of money.

Hope this helps :D

7 0
3 years ago
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The equation for the circle below is x ^2 + y^2 = 100. what is the length of the circles radius?
Ganezh [65]

Answer: 10 units.

Step-by-step explanation:

The equation of the circle in Center-radius form is:

(x - h)^2 + (y - k)^2 = r^2

Where the center is (h,k) and "r" is the radius.

The equation of the circle given is:

x ^2 + y^2 = 100

You can observe that is written in Center-radius form.

Then, you can identify that:

r^2=100

Knowing this, you need to solve for "r" to find the lenght of the radius.

This is:

r=\sqrt{100}\\\\r=10

Therefore, the lenght of the radius is 10 units.

8 0
3 years ago
Which of the following are NOT trigonometric identities? Check all that apply.
storchak [24]

Answer:

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3 0
3 years ago
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How do you do these questions?
Doss [256]

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

4 0
3 years ago
A box contains 8 white socks, 4 black socks and 2 blue socks. If you reach in and pull out one sock, what are the odds that it w
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8+4+2=14
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So 4/14
4 divided by 2 = 2
14 divided by 2 = 7
The answer is 2/7
A. 2/7

3 0
3 years ago
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