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AfilCa [17]
2 years ago
10

Distribute -(6 - 4p) TWELVE POINTS FOR YOUR ANSWER!!

Mathematics
2 answers:
poizon [28]2 years ago
7 0

Answer:

-(6-4p)=

-6+4p

Step-by-step explanation:

storchak [24]2 years ago
3 0

Answer:

-6+4p

Step-by-step explanation:

-(6-4p)

-1(6-4p)

-1*6=-6

-1*-4p=4p

-6+4p

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How much money would need to be deposited into an account earning 5.75% interest compounded annually in order for the accumulate
Leona [35]
I will assume you are using compound interest. 

<span>let the amount invested be x </span>

<span>x(1.0575)^25 = 85000 </span>
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How would I solve this?
lutik1710 [3]

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

  • Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

  • The sum of the angles subtended by all the sided at the center will be 360 degrees.
  • As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

\frac{360}{60} = 6

  • As the polygon rotates every minute and it is rotated for 12 minutes,

12*6 = 72

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

  • So, after 12 minutes it will be rotated by 72 degrees.
5 0
3 years ago
What is the Radius of a cylindrical water tank that has a circumference of 85 meters?
Tju [1.3M]
C=2pr

r=C/(2p) and we are given C=85 so

r=85/(2p) meters

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7 0
3 years ago
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The number of times that students go to the movies per year has mean is a normal distribution with a mean of 17 with standard de
antiseptic1488 [7]

Answer:

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a sample of size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 17, \sigma = 8, n = 10, s = \frac{8}{\sqrt{10}} = 2.53

What is the probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times?

This probability is the pvalue of Z when X = 18 subtracted by the pvalue of Z when X = 14. So

X = 18

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18 - 17}{2.53}

Z = 0.4

Z = 0.4 has a pvalue of 0.6554

X = 14

Z = \frac{X - \mu}{s}

Z = \frac{14 - 17}{2.53}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170

0.6554 - 0.1170 = 0.5384

53.84% probability that for a group of 10 students, the mean number of times they go to the movies each year is between 14 and 18 times.

3 0
3 years ago
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