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Lubov Fominskaja [6]
2 years ago
6

What is the meaning of an absolute value

Mathematics
1 answer:
storchak [24]2 years ago
6 0

Answer:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign.

Step-by-step explanation:

"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign. It can be thought of as how far it is away from the number of 0, whether it's to the left or right. Absolute value of a number is written as |x|, where x = any number. Let's say x was -1. |-1| would be 1 because it's 1 away from 0. If x was just 1, then the number would stay the same.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0
3 years ago
Question 29: In a club of 35 boys and 28 girls, 80% of the boys and 25% of the girls have been members for more than 2 years. If
klasskru [66]

Answer:

55%

Step-by-step explanation:

What we must do is get the total number of people, that is, boys and girls who have been a member for more than 2 years, that is:

children: 0.8 * 35 = 28

girls = 0.25 * 28 = 7

Now, passing knowing the%, would be dividing the sum of the above by the sum of the total club members:

(28 +7) / (35 + 28) = 0.55

Since it is a number below 1, it cannot be a mixed number.

3 0
3 years ago
Read 2 more answers
a recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water
lys-0071 [83]
0.20 of a cup of sugar is used per cup of water
8 0
3 years ago
Translate the statement below into a mathematical expression:
slega [8]

Answer:

18-6=2+y

Step-by-step explanation:

18-6=2+y

5 0
3 years ago
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
saveliy_v [14]
B)16
add the two equations and equal it to 90 and solve to get 16
6 0
3 years ago
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