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3 years ago

Which function can be used to describe the sequence? -2/3, -4, -24

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer #3 is correct

6 is the common ratio (r)
first term is -2/3 (a)
the general equation is f(x)=a(r)^x-1
so plug in the number
f(x)=-2/3(6)^x-1

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Please help me, Love you

Anton [14]

Answer:

It would be 750

Step-by-step explanation: You have to divide it by 5 and then times it by 3.

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2 years ago

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

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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

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3 years ago

Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of

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The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

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$cos(\theta) = \frac{adjacent}{hypotenuse}$

$cos(\theta)= \frac{15}{17}$

$cos^{-1}( \frac{15}{17})=\theta$

$\theta = 28.1^{\circ}$

The answer is 28.1 degrees

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8) What is the common ratio for this sequence?

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Step-by-step explanation:

it will 2.5 this is right answer option D

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2 years ago