How does the exponent of each power of ten correspond with placing a decimal

What is the value of b in this equation?<br> b- 2 = 18

mariarad [96]

The answer is 20 because 20 - 2 will give you 18

5 0

3 years ago

A total of 655 persons have multiple job in a city. Of them, 381 are male, 299 are married and 168 are make and married. Find th

Nimfa-mama [501]

Probabilities are used to determine the chances of events

The probability that a randomly selected person with multiple jobs is a male or married is 0.782

<h3>How to determine the probability</h3>

The given parameters are:

Sample size, n = 655

Male = 381

Married = 299

Male and Married = 168

The number of those that are male or married is calculated as:

Male or Married = Male + Married - Male and Married

So, we have:

Male or Married = 381 + 299 - 168

Evaluate

Male or Married = 512

The probability is then calculated as:

p = 512/655

Evaluate

p = 0.782

Hence, the probability that a randomly selected person with multiple jobs is a male or married is 0.782

Read more about probability at:

brainly.com/question/25870256

6 0

2 years ago

The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

Please help me with this question

morpeh [17]

Answer:

19 and 26

Step-by-step explanation:

The other 2 cant work because that would make the total Degrees inside the triangle more than 180 (this is impossible)

7 0

2 years ago

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A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for eac

ollegr [7]

Answer:

Profit for 100 burritos: $550

Cost to make one burrito: $2.50

Step-by-step explanation:

If a restaurant sells burritos for $8, that's a positive 8 dollars they earned. Then, we need to find what the cost was to make the burrito. If the meat is 1.50 and the cost for all the other ingredients is 1 dollar, then they lose 2.50 for every 8 dollars they make (for each burrito). So, to find the profit in one burrito, we would add -2.5+8, giving us an answer of 5.5. So, they earn 5 dollars and 50 cents each burrito and lose $2.50.

Now, we need to find the profit of 100 burritos

If one burrito is $5.50 in profit, then we take that amount and multiply it by 100. This is to make the illitsratution of selling 100 burritos. So, 5.50*100 would be 550! They would make $550 for 100 burritos, and lose 250 dollars on all of the burrito ingredients.

6 0

2 years ago

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