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2 years ago

Use words and math to explain why these two expressions are equivalent.

Mathematics

2 answers:

mote1985 [20]2 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Let’s manipulate 3h+2-6+5h to show how it is equal to 2(4h-2)

Combine like-terms:

3h+2-6+5h = 8h-4

Then, factor out the greatest common factor (in this case it’s 2):

8h-4 = 2(4h-2)

If you want to verify how to above is true, just combine them again!

Sunny_sXe [5.5K]2 years ago

5 0

Answer:

here

Step-by-step explanation:

when given the first set, you combine like terms so you add 5h and 3h together and -6 and 2 are combined, so the first one is 8h -4. The second set you distribute 2 to 4h and -2 getting you 8h and -4 as well

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A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe

dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used 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.

Probability that all students pass in a class:

Class of 8 students, which means that $n = 8$

Each student has a 95% chance of passing their class independent of the other students, which means that $p = 0.95$

This probability is P(X = 8). So

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

$P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634$

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that $n = 2$

0.6634 probability all students pass in a class, which means that $p = 0.6634$ .

This probability is P(X = 1). So

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

$P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466$

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

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3 years ago

A regular hexagon has a perimeter of 72 feet. How long is each side?

Lena [83]

Step-by-step explanation:

a hexagon has 6 sides

so it's only 72/6

so each side is 12ft

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3 years ago

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Find the distance between: (-1,0) and (-12, -1)

Kazeer [188]

Answer:

Step-by-step explanation:

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3 years ago

A _____ is a function that assigns a numerical value to every possible outcome in a sample space.

swat32

The answer is:

A Ramdom variable is a function that assigns a numerical value to every possible outcome in a sample space.

It is a number that represents a result of an event or a random experiment. This variable does not depend on other factors and its values are random, without a specific order. For example: when you roll a dice, the number that you get is a random variable, because in 6 attempts you may get 1,6,4,2,2,5 and then, in another 6 attempts, you may get 3,3, 6,2,1,6.

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3 years ago

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netineya [11]

Answer:

If it really is out of ten shots the answer should be 6 out of 10.

Step-by-step explanation:

12/30 divided by 3 is 4/10

If she had an increase of 50%, the answer is 6 out of 10 shots.

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3 years ago

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