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2 years ago

If 4.2 cups equals 1 liter, how many liters equals 21 cups?

Mathematics

1 answer:

kompoz [17]2 years ago

8 0

21 cups/ 4.2L per cup =5 L total
Hope this helps!!

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Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric

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An=A1. R raised to the power n-1

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3 years ago

What is 15% of 60? Create a model to prove your answer

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25%

Step-by-step:

Convert fraction (ratio) 15 / 60 Answer: 25%

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11/14 simplified:

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3 years ago

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If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG

velikii [3]

we have that

*-------------------------*--------------------------------*

E F G

EF=2x-12

FG= 3x-15

EG=23

we know that

EF + FG = EG

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15

therefore

the answer part a) is

the value of x is 10

the answer part b) is

the value of EF is 8

the answer part c) is

the value of FG is 15

6 0

3 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

3 years ago