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2 years ago

MTH 8 Test Geometric Applications of Exponents 2020-2021

Mathematics

1 answer:

vladimir2022 [97]2 years ago

8 0

Answer: Triangle 3 is not a right triangle

Step-by-step explanation:

The sides should be able to put into the Pythagorean Theorem if it is a right triangle

Triangle 1: 6, 8, 10... 36+64=100-- true statement

Triangle 2: 6, 10, 12 ... 36+100 - 144-- incorrect statement

Triangle 3: 9, 12, 15... 81+144= 225-- true Statement

Triangle 4: 12, 16, 20... 144+256=400-- true statement

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3 years ago

On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of 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.

Seven questions:

This means that $n = 7$

Each question has four choices.

Abby guesses, which means that $p = \frac{1}[4} = 0.25$

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

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2 years ago

A supplies box contains 3 red crayons, 2 green crayons, and 6 blue crayons. If we choose a crayon, then another crayon without p

wel

Answer: 3/11 & 6/10

Step-by-Step explanation:

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2 years ago

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

julia-pushkina [17]

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

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God is with you!!!

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2 years ago

What are the solutions to the system of equations?

user100 [1]

Solve the second equation using the given choices:

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3 years ago