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DochEvi [55]
3 years ago
8

A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the probability that a dart

thrown will land inside the circle.
a. 87.5%
b. 75.8%
c. 57.8%
d. 78.5&
Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer:

The correct answer is last option 78.5%

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

Area of square = a²

Where 'a' is the side length of square

<u>To find the area of circle</u>

Here r = 10 cinches

Area =  πr²

 =  3.14 * 10²

 = 3.14 * 100 = 314

<u>To find the area of square</u>

Here a = 20 inches

Area = a²

 = 20²

 = 400

<u>To find the probability percentage</u>

Probability = area of circle/Area of square

 = (314/400)*100

 78.5 %

kiruha [24]3 years ago
4 0
I think the answer is 78.5 . I mean it should be , if you don’t get it right I’m sorry !
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The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes Kate ran a mile in 10.87 minutes how many
igor_vitrenko [27]

Complete Question

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?

a. 1.37 minutes

b. 1.27 minutes

c. 2.27 minutes

d. 1.27 seconds

Answer:

1.27 minutes

Step-by-step explanation:

Emmett ran a mile in 9.73 minutes

Kate ran a mile in 10.87 minutes

Rubin ran a mile in 8.46 minutes.

How many more minutes did Emmett run than Robin?

This is calculated as:

Number of minutes Emmett ran - Number of minutes Rubin ran

= 9.73 minute - 8.46 minutes

= 1.27 minutes

Option b is correct

5 0
3 years ago
Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are
Norma-Jean [14]

Answer:

The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

7 0
3 years ago
Find the 14th term of the geometric sequence 5 -10 20
Anna [14]

Answer:

  a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

  an = a1·r^(n-1)

  an = 5·(-2)^(n-1)

The 14th term is then ...

  a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

  a14 = -40,960

7 0
3 years ago
Read 2 more answers
Suppose we have two binomial populations where the true proportion of success is .2 for the first population and .3 for the seco
Veseljchak [2.6K]

Answer:

The value is not close to 0.3 because of sampling variability.

Step-by-step explanation:

The group of answer choices are not given which are as follows:  

  • All of the above
  • Because the sample size is too small  
  • Because of sampling variability  
  • Because of nonresponse bias

From this the correct option is option C which is Because of Sampling Variability.

This is true because the two populations are of different values and thus the sample is not dependent on any one of the two possibilities. When a sample of 4 is considered from first and 400 from the second the overall probability will be far from the value of 0.3. So the

7 0
3 years ago
Find the measure of
Alborosie
Angle B is HALF of the sum of the two angles it intercepts.

Since it intercepts 48 and 142 degrees, simply add them add divide by 2:
B = (48 + 142)/2
B = 190/2
B = 95

The measure of angle B is 95 degrees.
-T.B.
4 0
3 years ago
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