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3 years ago

14

Nikita borrows 1 superhero book and 1 dragon book from the library. The superhero book has a mass of 200 grams. The dragon book

has a mass of 310 grams. What is the mass of the books Nikita borrowed?

1 answer:

Alexeev081 [22]3 years ago

5 0

You have to add the mass of the superhero book and the dragon book 200+310=510

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A person is taking a 13-question multiple-choice test for which each question has three answer choices, only one of which is

motikmotik

The probability of getting fewer than 3 correct answers is 0.1385

<h3>How calculate the probability of getting fewer than 3 correct answers?</h3>

This is a binomial problem with n = 13

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r . q^n-r

total choices = 13 x 3 = 39

p = P(correct answer) = 13/39 =1/3

Given: n = 13, p = 1/3, q = 1- 1/3 = 2/3

Fewer than 3 correct answers mean less than 3 correct answers

P(x<3) = P(x = 0) + P(x=1) + P(x=2)

P(x<3) = (13C0 × (1/3)^0 × (2/3)^13-0) + (13C1 × (1/3)^1 × (2/3)^13-1 + (13C2 × (1/3)^2 × (2/3)^13-2)

= 0.005138 + 0.0333 + 0.1001

= 0.1385

Therefore, the probability that the person gets fewer than 3 correct answers is 0.1385

Learn more about binomial distribution on:

brainly.com/question/29220138

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11 months ago

Machine A pops 12.75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4 minutes. If each machine pops popc

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Answer: Yes, there are enough popcorn for eight 9- ounce bags.

Step-by-step explanation:

Since we have given that

From Machine A,

Amount of popcorn in 3 minutes = 12.75

Amount of popcorn in 1 minute is given by

$\frac{12.75}{3}=4.25\text{ ounces}$

Amount of popcorn in 10 minutes is given by

$4.25\times 10=42.5\text{ ounces }$

From Machine B,

Amount of popcorn in 4 minutes = 18 ounces

Amount of popcorn in 1 minute is given by

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Amount of popcorn in 10 minutes is given by

$4.5\times 10=45\text{ ounces }$

Total amount of popcorn is given by

$42.5+45=87.5\text{ ounces}$

Now, there are eight 9-ounce bags means 72 ounces

Since 87.5 ounces is greater than 72 ounces .

So, there are enough for eight 9-ounce bags.

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