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algol13
3 years ago
9

What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2?

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

1

Step-by-step explanation:

We are given that an expression

{(-14)^0)^{-2}

We have to find the value of given expression.

We know that

a^0=1

Using the property

(-14)^0=1

We know that

a^{-b}=\frac{1}{a^b}

Using the property

(1)^{-2}=\frac{1}{1^2}

(1)^{-2}=1

((-14)^0)^{-2}=1

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Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to hav
Svetllana [295]

Answer:

She needs a sample of at least 385.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample should she take to achieve this?

She needs a sample of size at least n.

n is found when M = 0.04.

We do not know the true population proportion, so we use \pi = 0.5, which is the case for which we are going to need the largest sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.05\sqrt{n} = 1.96*0.5

Dividing both sides by 0.05

\sqrt{n} = 19.6

(\sqrt{n})^{2} = 19.6^{2}

n = 384.2

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She needs a sample of at least 385.

3 0
3 years ago
Please help with a practice sheet my parents gave me.
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Answer:

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Part F
mihalych1998 [28]

Answer:

The geometric mean of the measures of the line segments AD and DC is  60/13

Step-by-step explanation:

Geometric mean: BD² = AD×DC

BD = √(AD×DC)

hypotenuse/leg = leg/part

ΔADB: AC/12 = 12/AD

AC×AD = 12×12 = 144

AD = 144/AC

ΔBDC: AC/5 = 5/DC

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DC = 25/AC

BD = √[(144/AC)(25/AC)]

BD = (12×5)/AC

BD= 60/AC

Apply Pythagoras theorem in ΔABC

AC² = 12² + 5²

AC² = 144+ 25 = 169

AC = √169 = 13

BD = 60/13

The geometric mean of the measures of the line segments AD and DC is BD = 60/13

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Great to Least

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PLEASE HELP<br><br> Log,3 7=x is equivalent to which of the following (choose all correct answers)
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Answer:

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Step-by-step explanation:

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