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2 years ago

8

Two triangles are similar. The dimensions of the first are 7, 8, and 10, while the dimensions of the second one are 3.5, 4, and

5. The scale factor used to get from the first triangle to the second one is ________. WILL MARK BRAINLIEST

1 answer:

USPshnik [31]2 years ago

6 0

The scale factor would be 0.5 or 1/2

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The ratio of teachers to male students to female students in a school is 3:17:18 if the total number of students in the school i

Artist 52 [7]

Answer: 54

Step-by-step explanation:

First we add 17 plus 18 to dins total number of students I got 35

Then we make ratio

3/35

So we know we have total number of 630 kids then we make a ratio with no teacher so x

X/630

Lin both together then done ☑️

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1 year ago

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. 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 multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

2 years ago

The mean is usually the preferred measure of central tendency, but there are specific situations in which it is impossible to co

sergey [27]

Answer: a. It is commonly referred to as the arithmetic average.

b. It is algebraically defined (that is, there is an equation you can use to calculate its value).

c. It is easily influenced by extreme scores.

Step-by-step explanation:

The mean is also referred to as the "average" and it is gotten by adding every number and the dividing the value gotten by the number of the numbers used for the calculation.

It should be noted that the mean is algebraically defined and can be easily influenced by extreme scores.

4 0

2 years ago

What is 40 meters in 8 seconds?

Basile [38]

5 meters/ 1 second because if you 40 and 8 you will get 5 and divided 8 by 8 and you get 1, you just divide the denominator by both numerator and denominator.

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2 years ago

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What is 64 thousandths in decimal form

shusha [124]

I am pretty sure it is 0.064. Hope this helps

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2 years ago

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