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gavmur [86]
2 years ago
5

Josiah has a 20% experimental probability of hitting the snooze button any morning when his alarm goes off. When he hits the sno

oze button there is a 25% conditional probability that he missed the bus. He has never missed the bus when he has not hit the snooze button. If Josiah's alarm woke him 120 times over the course of the semester, how many times did Josiah miss his bus?
Mathematics
1 answer:
Citrus2011 [14]2 years ago
3 0

Answer:

6 times

Step-by-step explanation:

There are two events here:

1. Probability to hit snooze button= P(A) = 20%. Also mean P(A') = 80%

2. The probability to miss the bus= B

If Josiah hits the snooze button (A is happen), he misses the bus(B) 25% of the time. It mean P(B | A) = 25%

If Josiah doesn't hit the snooze button (A didn't happen), he won't miss the bus. It mean P (B | A') = 0%

If alarm woke Josiah 120 times , expected times that Josiah miss the bus will be:  

P(B | A)* 120 * P(A) + P (B | A') * 120 * P(A') = 25%*20%*120 + 0% * 75%*120 = 6 times

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Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount
lakkis [162]

Markup is the amount added to the cost price of goods to cover overhead and profit.

Sue’s Corner Market has a markup of 60% on bottled water.

Let us say original price was $x.

Now price after markup is $2.

So we can make an equation like:

original price + markup price = price after markup

x + 60% of x =2

x + 0.6x =2

1.6x =2

dividing both sides by 1.6

x= 1.25

So original price was 1.25 dollars.

5 0
2 years ago
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Randi and her sister made balloon animals and sold the for. $0.50 each at the school carnival. They made $48.00. If Randi made t
evablogger [386]

Answer:

Balloon made by Randi's sister =32

Balloon made by Randi =64

Step-by-step explanation:

Let Randi's sister made x balloons.

Balloons made by Randi =2\times x=2x

total ballons =x+2x=3x

1 cast of 1 ballon =\$0.50

Cost of x balloons =3x\times0.50=1.5x

Given total money made =\$48.0

1.5x=48\\\\x=\frac{48}{1.5}\\\\x=32

ballon made by Randi's sister =32

Ballon made by Randi's =2\times32=64

5 0
2 years ago
Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa
WITCHER [35]
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
6 0
2 years ago
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that
Katena32 [7]

Answer:

Step-by-step explanation:

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First, the blue image is reflected about the line y=-5

Then it is rotated 180 degrees around the point (0,-5)

(you can have other options this is just one example)

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4 0
2 years ago
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Ivenika [448]
It is quadratic equation.
First we have find delta given by formula: delta=b^{2}-4ac
where our 
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Now we can use next formula x=\frac{-b+ \sqrt{delta} }{2a}
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
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x2=\frac{24- \sqrt{128} }{2*16} = \frac{3- \sqrt{2} }{4} 
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2 years ago
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