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Dmitriy789 [7]
3 years ago
9

Which of the below is a binomial factor of the polynomial shown?

Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

D: (a+12)

Step-by-step explanation:

(a+12)(a-2)

a^2+12a-2a-24

a^2+10a-24

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Slove for x, please. ​
KATRIN_1 [288]

Answer:

I do not know

Step-by-step explanation:

6 0
3 years ago
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
3 years ago
How would you explain triangle classifications in your own words?
balandron [24]

Answer:

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.

The sum of the length of two sides of a triangle is always greater than the length of the third side.

8 0
3 years ago
Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water.
serg [7]
Given:
lemon juice = 60% in the bottle
water = 1 liter.

Since lemon juice is 60% and the rest is water. Water is 40% of the bottle.

1 liter of water is equivalent to 40% of the bottle.

1/40% = 2.50 liters amount of total liquid in the water.

2.50 x 60% = 1.5 liters of lemon juice.

0.6x + 0.4x = 2.5

4 0
3 years ago
Greg took a trip for 21 days. He took an average of 36 black-and-white photos and 60 color photos every day. How many more color
kumpel [21]

Answer:

i think the answer is 504

Step-by-step explanation:

multiply 36 by 21

multiply 60 by 21

subtract

Hope this helps my dude! :- )

4 0
3 years ago
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