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Norma-Jean [14]
3 years ago
5

We are throwing darts on a disk shaped board of radius 5. We assumethat the position of the dart is a uniformly chosen point in

the disk. The board hasa disk shaped bullseye with radius 1. Suppose that we throw a dart 2000 times atthe board. Estimate the probability that we hit the bullseye at least 100 times.
Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

5% is the smallest probability

Step-by-step explanation:

5% = 0.05

2000 x 0.05 = 100 so the smallest chance is 5% but it could be more if you hit more bullseye

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A sample of 60 items from population 1 has a sample variance of 8 while a sample of 40 items from population 2 has a sample vari
lora16 [44]

Answer:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

The statistic would be given by:

F=\frac{s^2_2}{s^2_1}=\frac{10}{8}=1.25

Step-by-step explanation:

Information given

n_1 = 60 represent the sample size 1

n_2 =40 represent the sample size 2

s^2_1 = 8 represent the sample variance 1

s^2_2 = 10 represent the sample variance 2

The statistic to check the hypothesis is given by:

F=\frac{s^2_2}{s^2_1}

Hypothesis to test

We want to test if the two variances are equal, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

The statistic would be given by:

F=\frac{s^2_2}{s^2_1}=\frac{10}{8}=1.25

5 0
4 years ago
15 less than 8 times a number is 27
lesya692 [45]

Answer:

5.25

Step-by-step explanation:

27 = 8a - 15

We have to find "a" here.

We add 15 to each side. The 15 cancels out on the left, and we are left with 27+15 = 42. We then have to divide by 8 on each side to get the "a" by itself.

42/8 = 5.25. We can check our work by answering the "number" with the word problem. 8 * 5.25 = 42 and then 42-15 = 27. Our number gets the answer 27, therefore the answer is 5.25!

Hope this helps.

4 0
4 years ago
Read 2 more answers
Lena estimated the volume of her bathtub to be 47 gal . The actual volume of her bathtub was 42 gal . Find the absolute error an
Andreyy89

Answer:

her estamint should be 40

Step-by-step explanation:

she over floded the tub because of it

4 0
4 years ago
Lana works at a spa. She charges $28.75 for a manicure. She averages 32 manicure per week. What is her average weekly income?
patriot [66]

Answer:

the answer is $920

Step-by-step explanation:

28.75 x 32=920

6 0
3 years ago
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Tyler ate 42 grapes from a bowl. There were 90 grapes in the bowl to begin with. What percent of the grapes did Tyler eat?
Karo-lina-s [1.5K]

Answer:

He ate 42 of the 90 grapes in the bowl

The percentage of grape he ate will be given as this:

42/90 * 100%

=46.67%

Tyler has ate 46.67% of the grapes

4 0
4 years ago
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