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Murljashka [212]
3 years ago
5

This dart board is made up of three concentric circles. A dart will be randomly tossed at the board. What is the probability the

dart will land in the section labeled with a X?

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

Option B.  11\%

Step-by-step explanation:

we know that

The probability that the dart will land in the section labeled with a X is equal to divide the area of the smaller green circle by the total area

so

P=\frac{\pi (2)^{2}}{\pi (6)^{2}}\\ \\P=\frac{4}{36}\\ \\P=\frac{1}{9}\\ \\P=11\%

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You have $3 and earn $7.50 for each car you wash. Write an equation in two variables that represents the total amount a
worty [1.4K]

Answer:

f(x)= 7.5x + 3

Step-by-step explanation:

you have 3 dollars just there, and you get 7.50 per car wash, so that is the x

5 0
4 years ago
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal
Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The other parameters are given as follows:

\overline{x} = 111000, \sigma = 36730, n = 36

Hence, the lower bound of the interval is:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
What are the solutions of this quadratic equation? x2-6x=-58
weeeeeb [17]

Answer:

x^{2}-6x=-58

Step-by-step explanation:

3 0
3 years ago
Help me find the answers to this math problem
Arisa [49]

Answer:

They are not congruent

Step-by-step explanation:

In order to be congruent their angles have to be the same and angle A (60º) and D (40º) are different

5 0
3 years ago
Solve x ^ 2 - 3x = - 8 using the quadratic formula.
Sergio039 [100]

Answer: \frac{3 +- \sqrt{23}i}{2} If using complex numbers, or undefined if using all real numbers

Step-by-step explanation:

Moving -8 to the left side of the eq by adding both sides by 8=

x^2-3x+8=0

The quad formula:\frac{-b  +- \sqrt{b^2-4ac}}{2a}

a=1 b=-3 c=8

Inserting a b c values into formula: \frac{-(-3)  +- \sqrt{(-3)^2-4(1)(8)}}{2(1)}

Simplifying: \frac{3 +- \sqrt{9-32}}{2}

\frac{3 +- \sqrt{-23}}{2}  Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.

OR

\frac{3 +- \sqrt{23}i}{2} Using complex numbers i, to replace the negative number created by subtracting 9-32.

4 0
2 years ago
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