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Masja [62]
3 years ago
6

Find the length of the missing side of the triangle below PLEASE HELPP!!

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.

Pythagorean Theorem:  a² + b² = c²

[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]

Plug in what you know:

b = 8

c = 14

a² + b² = c²

a² + (8)² = (14)²

a² + 64 = 196       Subtract 64 on both sides

a² = 132       Square root both sides to get "a" by itself

\sqrt{a^2} =\sqrt{132}

a = \sqrt{132} inches

If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132

132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The only number that can be square rooted is 4, so you can do:

a=\sqrt{4*33}

a=\sqrt{4} *\sqrt{33}

a=2\sqrt{33}

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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a
Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0
3 years ago
(5x – 3y + 8) + (-3x + 6y - 3)​
Wewaii [24]

Answer:

2x+3y+5

Step-by-step explanation:

Firstly, we remove the parenthesis since there is nothing in front of it.

There is a “+” sign in front of the parenthesis, it stays the same.

Secondly, we combine like terms. We combine the x’s, the y’s, and the normal numbers without a variable.

Finally, after combining the like terms. You end up with “2x+3y+5”.

8 0
3 years ago
PLEASE HELP I NEED TO FINISH THIS
Akimi4 [234]

Answer:

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Step-by-step explanation:ujjj

6 0
3 years ago
A factory received an order for 1,758 laptops. For the first 6 days, it produced 125 laptops per day. If it was asked to finish
BartSMP [9]

Answer:

  • 252 laptops

Step-by-step explanation:

Target number is 1758

<u>Produced in 6  days:</u>

  • 6*125 = 750

<u>Remaining to produce:</u>

  • 1758 - 750= 1008

Days left- 4

<u>Should produce per day:</u>

  • 1008/4 = 252 laptops
8 0
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The girls soccer team won 10 games and the lost 2. And the boys soccer team won 12 games and lost 3. What is the ratio of the bo
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The ratio of the boys is 4/1
8 0
3 years ago
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