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3 years ago

Solve for x. x^3=8/125 Enter your answer in the box as a fraction in simplest form.

1 answer:

8 0

First you divide 8 by 125, with a new equation of:
x^3=0.064
You then take the cube root of 0.064, which happens to be 0.4
x=0.4
To make sure you can do 0.4*0.4*0.4.

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2 years ago

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AURORKA [14]

Answer:

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3 years ago

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2 years ago

The zeros of a function are the values of x x for which the function is equal to zero. Enter a number in each blank to make true

Anit [1.1K]

Answer:

1 or 5

Step-by-step explanation:

Given the function h(x)=(2x−2)(x−5)

The zeros of h(x) are the values of x for which h(x)=0

h(x)=(2x−2)(x−5)=0

Note that if a.b=0, either a=0 or b=0.

Appying the above,

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3 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

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3 years ago