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3 years ago

If the product of the extremes is 8,then the geometric mean is

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

The geometric mean of two numbers is the square root of their product:

$GM(a,b)=\sqrt{ab}$

So, if the product is 8, the geometric mean is $\sqrt{8}=2\sqrt{2}$

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st

Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$2 = 2.575*\frac{7.8}{\sqrt{n}}$

$2\sqrt{n} = 2.575*7.8$

$\sqrt{n} = \frac{2.575*7.8}{2}$

$(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}$

$n = 100.85$

Rounding up

We need a sample size of at least 101

8 0

3 years ago

Read 2 more answers

If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?

irga5000 [103]

Answer:

range: (-5, ∞)

domain: (-∞, ∞)

Step-by-step explanation:

given vertex, absolute minimum: (-3, -5)

Range look at y-value

(minimum, maximum) the -5 will be on the left of the comma b/c its the min

If this was a max, you would put the y-value on the right side of the comma

3 0

3 years ago

5 1/2 of what number is 55?

goldfiish [28.3K]

I hope this helps you

8 0

3 years ago

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Simplify (3s^8)^-5 write your answer using only positive exponents. help please!!

loris [4]

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator. So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

3 0

3 years ago

How to work out 5-[5+8÷4-1]

rodikova [14]

PEMDAS (order of operations rules) require that we perform operations in a certain order: anything inside parentheses first, followed by any exponentiation, followed by mult. and div., finally followed by addition and subtraction.

Thus, we must evaluate 5+8÷4-1 first, as it's inside parentheses. Focusing on the division first, we get 5+8÷4-1 = 5 + 2 - 1, or 6.

Then we have 5 - [6], which comes out to -1.

6 0

3 years ago

Read 2 more answers