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4 years ago

Please help Problem in the picture

Mathematics

1 answer:

lilavasa [31]4 years ago

6 0

Answer:

42 degrees

Step-by-step explanation:

first you have to put the two equations given equal to each other because since ET bisects it the two sides are equal to each other

5x+7 = 8x-14

then you solve for x

- first get rid of 5x

7=3x-14

- second you move the 14 over

21 = 3x

- last divide 3 into 21

21/3= 7

x=7

then plug 7 into the one or both of the equations

5(7)+7= 35+7= 42

8(7) - 14= 56 - 14= 42

42 degrees is the answer

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3 years ago

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Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

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There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

$P = 0.75(0.25) = 0.1875$