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nasty-shy [4]
3 years ago
7

Please help answer this correctly!!! will mark brainliest!!!

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0
2) B
3)C

I’m not sure If im right but this is what I think it is :)
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The perimeter of triangle ABC is 54. the triangle has side lengths AB=3x, BC=4x, AC=5x. Find the length of each side.
elena-14-01-66 [18.8K]

The perimeter of a triangle is the sum of its sides. So, we have

P = \overline{AB}+\overline{BC}+\overline{AC}

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

54 = 3x+4x+5x = 12x

If you divide both sides by 12, you have

x = \dfrac{54}{12} = 4.5

So, the lengths of the sides are

AB = 3x = 3\times 4.5 = 13.5

BC = 4x = 4\times 4.5 = 18

AC = 5x = 5\times 4.5 = 22.5

7 0
3 years ago
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the
slava [35]

Answer: probability of getting two 5s =0.04

probability of getting at least one 5 =0.36

probability of getting a total score greater than 5 =0.6

Step-by-step explanation:

Total outcomes on 1 spinner = 5

Then , total outcomes of spinning it 2 times=  5\times5 = 25

Number of outcomes for getting two 5's = 1

Then, the probability of getting two 5s =\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}

=\dfrac{1}{25}=0.04

Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9

Then, the probability of getting at least one 5=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}

=\dfrac{9}{25}=0.36

Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4

Then, the probability of getting a total score of 5,=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}

=\dfrac{4}{25}

Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15

Then, the probability of getting a total score greater than 5,=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}

=\dfrac{15}{25}=\dfrac{3}{5}=0.6

5 0
4 years ago
A researcher is interested in estimating the mean blood alcohol content of people arrested for driving under the influence. Base
UNO [17]

Answer:

We need a sample size of at least 650

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{1-0.95}{2} = 0.025

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 1-0.025 = 0.975, so z = 1.96

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.

In this problem:

We need a sample of size at least n

n is found when M = 0.005, \sigma = 0.065

So

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

0.005 = 1.96*\frac{0.065}{\sqrt{n}}

0.005\sqrt{n} = 1.96*0.065

\sqrt{n} = \frac{1.96*0.065}{0.005}

(\sqrt{n})^{2} = (\frac{1.96*0.065}{0.005})^{2}

n = 649.23

Rounding up

We need a sample size of at least 650

7 0
3 years ago
Solve for x. <br> 7/8 = x/16
Kitty [74]

Answer:

X=16*7/8= 14. by multiplying. 16 *7/8

7 0
3 years ago
Read 2 more answers
Find right triangle side x​
netineya [11]
Can we see a picture?
7 0
3 years ago
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