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3 years ago

Eric earned $100 in tips on Sunday waiting tables plus an additional $11.50 per hour. He earned at least $250 in all.

Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

Step-by-step explanation:

So first Subtract 100 from 250. Since you are trying to find out the amount of hours, you don’t need the tips to count.

The next step is too either do the equation 150 divided by 11.50 or you can multiply 11.50 by 13.

it’s not fourteen because 149.5 is closer to 150 then 161

Hope this helps

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Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age

Effectus [21]

Answer:

P = (65 - R) / 60

Step-by-step explanation:

Raul's grandfather is Miguel

Raul's sister is Paula

We are given that Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. If we write this mathematically, we have that:

R = M - (60*P)

Where R = Raul's age, M = Miguel's age and P = Paula's age

We are then given that Miguel is 65 years old, this means that M = 65

=> R = 65 - 60P

To find Paula's age, we make P the subject of formula, hence:

60P = 65 - R

=> P = (65 - R) / 60

We can use this expression to find Paula's age.

3 0

4 years ago

Read 2 more answers

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

$4\sigma = 75 - 19$

$4\sigma = 56$

$\sigma = \frac{56}{4} = 14$

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

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

$Z = \frac{25 - 47}{14}$

$Z = -1.57$

$Z = -1.57$ has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

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

$Z = \frac{60 - 47}{14}$

$Z = 0.93$

$Z = 0.93$ has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

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3 years ago

What is the solution for the inequality shown below W+4>0

myrzilka [38]

The answer is: W>-4
I hope this helps

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3 years ago

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solmaris [256]

Hi!~

Answer:

C) -5 is located to the LEFT of 2

Step-by-step explanation:

On a number line, of course the negatives (-) are to the left while the positives (+) are to the right, so since -5 is negative, and 2 is positive, -5 is located to the LEFT of 2.

Hope this helps! :)

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2 years ago

Evaluate the expression 3mn if m=3 and n=7 please help me solve this problem and explain

Vinil7 [7]

Substitute 3 into the expression for m, and 7 into it for n. So 3mn = 3(3)(7) = 3 x 21 = 63.

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3 years ago

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