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Luba_88 [7]
3 years ago
8

Please answer in attachment

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
For the first box:
3 to the -2 power is changed to 1/9
In order to make the exponent work, you must change it to a fraction.

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Four expressions are shown: 6(5x + 3) 6(6x + 2) 36x + 12 30x + 18 Which two expressions are equivalent to 6(5x + 2 + x)?
Lina20 [59]
6(5x+2+x)=6(6x+2) Second expression
6(5x+2+x)=6(6x+2)=6(6x)+6(2)=36x+12 Third expression

Answer: The two expressions are equivalent to 6(5x+2+x) are:
Second expresion: 6(6x+2) and
Third expression 36x+12
5 0
3 years ago
Choose the best definition for the following term: exponent
bonufazy [111]
I believe that the answer should be D. Shorthand that tells how many times the base is used as a factor, or how many times the base is multiplied by itself. Examples: 2^2=4, 4^2=16, 16^2=256.
Hope this helps and have a nice day.
8 0
3 years ago
Read 2 more answers
The solution(s) of ax2 + bx + c = 0 are also called its ____
BigorU [14]
The solutions are also called its roots.
6 0
3 years ago
Read 2 more answers
Suppose the germination periods, in days, for grass seed are normally distributed. If the population standard deviation is 3 day
KatRina [158]

Answer:

The minimum sample size is needed to be 90% confident that the sample mean is within 1 day of the true population mean is 25.

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{1-0.9}{2} = 0.05

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 1-0.05 = 0.95, so z = 1.645

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.

If the population standard deviation is 3 days, what minimum sample size is needed to be 90% confident that the sample mean is within 1 day of the true population mean?

This is n when \sigma = 3, M = 1. So

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

1 = 1.645*\frac{3}{\sqrt{n}}

\sqrt{n} = 3*1.645

(\sqrt{n})^{2} = (3*1.645)^{2}

n = 24.3

Rouding up to the nearest integer, 25.

The minimum sample size is needed to be 90% confident that the sample mean is within 1 day of the true population mean is 25.

4 0
3 years ago
Given the following formula, solve for t. v=u+at
sergeinik [125]

Answer:

<h2>t = \frac{v - u}{a}</h2>

Step-by-step explanation:

v = u + at

To solve for t move u to the left side of the equation

That's

at = v - u

Divide both sides by a in order to make t stand alone

We have

<h3>\frac{at}{a}  =  \frac{v - u}{a}</h3>

We have the final answer as

<h3>t = \frac{v - u}{a}</h3>

Hope this helps and

5 0
3 years ago
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