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Olin [163]
3 years ago
6

Suppose that 2% of cereal boxes contain a prize and the other 98% contain the message, "sorry, try again." consider the random v

ariable x, where x = number of boxes purchased until a prize is found. (round all answers to four decimal places.) (a) what is the probability that at most three boxes must be purchased? p(at most three boxes) = (b) what is the probability that exactly three boxes must be purchased? p(exactly three boxes) = (c) what is the probability that more than three boxes must be purchased? p(more than three boxes) =
Mathematics
1 answer:
user100 [1]3 years ago
5 0
<span>a) This is the sum of the probabilities of winning in 1, 2 or 3 boxes. 0.02 + (0.98*0.02) + (0.98*0.98*0.02) = 0.0588 b) Exactly three boxes requires the first two to lose. (0.98*0.98*0.02) = 0.0192 c) This is the complement of answer for a). 1-.0588 = .9412</span>
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A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to th
vredina [299]
<h3>Answer is   4:5</h3>

========================================================

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

5 0
3 years ago
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Frank has 8 soup bowls. He wants to pour 1/3 pint of soup in each bowl. Will Frank need more or less than 8 pints? How much soup
Margarita [4]
He would need less than 8.  So he would need 2.5 pints. I think.
5 0
3 years ago
Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

 (x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

 completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0
3 years ago
The two-way table shows the number of students in a class who like mathematics and/or science. Like Mathematics Do Not Like Math
coldgirl [10]

The missing number is 20.

<h3>What is the missing number?</h3>

Subtraction is the mathematical operation that is used to find the difference between two or more numbers.

In order to find the missing number, subtract the total number of people who like science and mathematics from the total number of people who like science

38 - 18 = 20

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

7 0
2 years ago
Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
schepotkina [342]
I think it should be y=5x+3
8 0
3 years ago
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