Point e is located at -5,2 point m is the reflection of point e what is the distance between e and m

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer:

the distance is 10

Step-by-step explanation:

-5,2 to 0,0 is 5

and the refection of -5,2 is 5,2

5,2 to 0,0. is also 5

5+5=10

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Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he go

aleksandr82 [10.1K]

Answer:

0.267

Step-by-step explanation:

This can be solved using the binomial probability formula which is:

$P(success)=nCk*p^{k}(1-p)^{n-k}$

Where

n is total number of trials (here, the total number of questions is 8, so n = 8)

k is the number of attempts we are looking for (here, we want to find probability of 1 question correct, so k = 1)

p is the probability of success (here, success is getting a questions right. Since there are 4 choices and 1 is right, probability of right = 1/4)

<em>Plugging all the info into the formula we get:</em>

<em> $P(success)=nCk*p^{k}(1-p)^{n-k}\\P(1QuestionRight)=8C1*(\frac{1}{4})^{1}(1-\frac{1}{4})^{8-1}\\P(1QuestionRight)=\frac{8!}{(8-1)!*1!}(\frac{1}{4})(\frac{3}{4})^7\\P(1QuestionRight)=\frac{8!}{7!*1!}(\frac{1}{4})(\frac{3}{4})^7\\P(1QuestionRight)=8(\frac{1}{4})(\frac{3}{4})^7\\=0.267$ </em>