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UkoKoshka [18]
2 years ago
9

Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. Sh

e will pick two pencils without looking and without replacement.
Write an expression that can be used to determine the probability that Kari will first pick a blue pencil and then a yellow pencil.
Mathematics
1 answer:
babymother [125]2 years ago
4 0

Answer:

(5/11)(1/10)

Step-by-step explanation:

probability of picking blue = 5/11

Now there are only 10 pencils

probability of picking yellow = 1/10

probability of picking blue, then yellow = (5/11)(1/10) = 1/22

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A cone has a height 25 ft and a radius of 7 ft. Is a reasonable that the volume of this cone is 100 ft3? Why or why not?​
Nostrana [21]

Answer:

No

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

3 0
3 years ago
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
2 years ago
The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in
tangare [24]

Answer:

4 : 5

Step-by-step explanation:

18 - 10 = 8 (Bones)

Bones to frisbees

8 : 10

Simplest form which is divided by 2 for each number:

4 : 5

5 0
3 years ago
Read 2 more answers
Identify the level of measurement of the​ data, and explain what is wrong with the given calculation. In a​ survey, the hair col
Arada [10]

Answer:

Nominal level of measurement

Step-by-step explanation:

The level of measurements used in this study is the nominal level of measurements. The nominal level of measurements involves the use of numbers to help classify the categories in an experiment.

In this case study, values were gotten for each categories which are brown hair, blonde hair, black hair and other hair colors. Thus, the level of measurements used is the nominal level of measurement.

There is something wrong with the calculation because data was gotten for a total of 600 respondents while the mean that was calculated involved only 503 omitting about 97 respondents.

3 0
3 years ago
What is the function to use in excel when you want to find the cost times the number of units?
Brrunno [24]
I think its unit price
3 0
3 years ago
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