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katrin2010 [14]
3 years ago
14

If a point is chosen inside the square, what is the probability that it will also be inside the circle?

Mathematics
1 answer:
Feliz [49]3 years ago
3 0

Answer:

79\%

Step-by-step explanation:

The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.

Formulas used:

  • Area of a square with side length s is given by A=s^2
  • Area of a circle with radius r is given by A=r^2\pi

The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

Area of square: A=2^2=4

Area of circle:

A=1^2\pi=\pi

Therefore, the probability that the point will be inside the circle is:

\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}

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PLEASE HELP AND SHOW WORK PLEASE.
Vaselesa [24]

Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given Inequalities can be solved as,

5 - x > 7

-x > 7 - 5

-x > 2

x < -2

2x + 3 ≥ 13

2x ≥ 10

x ≥ 5

As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.

This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.

Learn more about Inequality:

brainly.com/question/19491153

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4 0
3 years ago
The stem-and-leaf plot shows the amount of money each student in Spanish club collected for charity this semester. How many
muminat

Its  72 I hope it helped.

4 0
3 years ago
What is the surface area of a rectangular prism that is 4 inches long, 5 inches wide, and 8 inches tall?
marishachu [46]

Answer:

160

Step-by-step explanation:

4x5=20.

20×8=160

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4 0
3 years ago
Assume that Michigan January daily low temperatures are normally distributed with a mean of 13 F and a standard deviation of 15
riadik2000 [5.3K]

Answer:

1.39% probability of a January day having a temperature of -20 F

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 13, \sigma = 15

What is the probability of a January day having a temperature of -20 F?

This is the pvalue of Z when X = -20. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{-20 - 13}{15}

Z = -2.2

Z = -2.2 has a pvalue of 0.0139.

1.39% probability of a January day having a temperature of -20 F

4 0
3 years ago
A farmer has harvested 60% of his crops.
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72 • 0.6 = 43.2 acres
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