Which of the following is an incorrect way to label the line in the diagram below

In a sample of 1100 U.S. adults, 208 think that most celebrities are good role models. Two U.S. adults are selected from this s

DedPeter [7]

Answer:

a) 3.56% probability that both adults think most celebrities are good role models.

b) 65.74% probability that neither adult thinks most celebrities are good role models.

c) 34.26% probability that at least one of the two adults thinks most celebrities are good role models.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the adults are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

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

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

(a) Find the probability that both adults think most celebrities are good role models.

Desired outcomes:

Think most celebrities are good role models, so 2 from a set of 208. Then

$D = C_{208,2} = \frac{208!}{2!(208-2)!} = 21528$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{21528}{604450} = 0.0356$

3.56% probability that both adults think most celebrities are good role models.

(b) Find the probability that neither adult thinks most celebrities are good role models.

Desired outcomes:

2 from a set of 1100 - 208 = 892. Then

$D = C_{892,2} = \frac{892!}{2!(892-2)!} = 397386$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{397386}{604450} = 0.6574$

65.74% probability that neither adult thinks most celebrities are good role models.

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models.

Either neither think, or at least one does. The sum of the probabilities of these events is 100%.

From b), 65.74% probability that neither think.

So

65.74 + p = 100

p = 100 - 65.74

p = 34.26

34.26% probability that at least one of the two adults thinks most celebrities are good role models.

8 0

3 years ago

Explain how u could find the number of cups in 5 Gallons of water

andrezito [222]

We would convert the gallons to cup hence 1 gallon is equal to 16 cups = gallons

8 0

4 years ago

1

lana66690 [7]

Answer:

Choice 1

Step-by-step explanation:

Let‘s go through each answer and analyze a

each.

Choice 1

Parallel means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture

Choice 2

Perpendicular means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.

Choice 3

A Line Segment means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment

Choice 4

We already determined this is neither a segment nor perpendicular so it cannot be this choice

This leaves us with Choice 1.

I hope this helps!

Please give thanks and brainliest!

4 0

3 years ago

Mrs. Madison's class recorded how many students had various types of pets. Twice the number of students who own a lizard is less

ss7ja [257]

So twice the number of students who own a lizard is represented by 2l where l is the number who own a lizard. we are given this is less than 10 so 2l<10 we can solve for l by dividing both sides by 2 to get l<5 meaning the number of students who own a lizard is less than 5

8 0

3 years ago

Prove that 2017(2018^9+2018^8+…+2018^2+2019+1)=2018^10+2017

alisha [4.7K]

Let a=2018, we can rewrite the question into

$(a-1)(a^9+a^8+...+a^2+a+2)\\=(a-1)(a^9+a^8+...+a^2+a+1)+(a-1)\\=a^{10}-1+a-1$

substitute back a = 2018, obtained

${2018}^{10} + 2016$
well, there is something wrong here

5 0

4 years ago

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