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german
2 years ago
7

Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only on

e of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly
Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer:

The probability is 0.28157

Step-by-step explanation:

The number of answers are 40 answers ( 10 questions and 4 answer each)

The number of correct answers is only 10

So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers

The probability will be;

10 C 2/ 40 C 10

This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10

The probability of selecting a correct answer is;

1/4 while the probability of selecting a wrong one is 3/4

So probability of selecting 2 correct out of a total 10 will be

10 C 2 (1/4)^2 (3/4)^8

= 0.28157

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Reducing the fractions, it is also true that:
Part A = 5/14 of the whole
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3 years ago
Derrick had $100 to spend at a sporting goods store. He bought a pair of shorts for $11.36 and a pair of athletic shoes for $47.
olga_2 [115]

Answer:

$40.82

Step-by-step explanation:

Subtract $11.36 from $100 and you'll get $88.64 and then just subtract $47.82 and the answer is $40.82. Not sure if u know how to subtract but just line the decimals up and take the smaller number away from the bigger one so in this case it would just be 100-11.36=88.64 and since he spent more money it would be 88.64-47.82=40.82

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2 years ago
Read 2 more answers
Please help me understand and explain it to me please.<br><br>Recursive Sequence Function ​
DedPeter [7]

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

4 0
2 years ago
Find the real number root
Hunter-Best [27]

Answer:

No real roots.

Step-by-step explanation:

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Answer:

x=\frac{\sqrt{14} }{2}

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 45^o. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

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We use just the positive root, since we are looking for an actual length. then, the requested side is:

x=\frac{\sqrt{14} }{2}

6 0
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