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2 years ago

C) Your parents have been advised to save 5% of their income for your college education

Mathematics

2 answers:

My name is Ann [436]2 years ago

7 0

48,948 * 5% = 2447.4

MatroZZZ [7]2 years ago

4 0

Answer:

Your parents will have saved $2447.40 in a year.

Step-by-step explanation:

Your parents have been advised to save 5% of their income for your college education.

Their annual income is = $48948

So, 5% of this will be = $0.05\times48948=2447.40$ dollars

Hence, your parents will have saved $2447.40 in a year.

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Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.

denis-greek [22]

Answer:

The maximum profit can be attained when 4 bikes are produced each day.

Step-by-step explanation:

Look at the attached picture:

In the table given in the picture, the number of bikes produces varies. We cannot properly compare the profits per day. To be consistent, let us determine the profit per unit of bike produced.The relationship between cost, revenue and profit can be as:

Profit = Revenue - Cost

To find the profit per unit of bike, simply divide the profit with the number of bikes produced (1st column). After you see the results, we can see that the highest profit is $17.5 per unit of bike produced. Therefore, the maximum profit can be attained when 4 bikes are produced each day.

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2 years ago

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Leigh and Sara paid $1,178 last month to rent their apartment. Last mon had 31 days. They divide to find out how much they paid

svetlana [45]

Answer:

they would pay 38$ each day

Step-by-step explanation:

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2 years ago

A pet store has 10 puppies, including 3 poodles, 4 terriers, and 3 retrievers. if rebecka and aaron, in that order, each se

olganol [36]

P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100

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1 year ago

the time taken by a student to the university has been shown to be normally distributed with mean of 16 minutes and standard dev

Naya [18.7K]

Answer:

a) 2.84% probability that he is late for his first lecture.

b) 5.112 days

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 16, \sigma = 2.1$

a. Find the probability that he is late for his first lecture.

This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So

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

$Z = \frac{20 - 16}{2.1}$

$Z = 1.905$

$Z = 1.905$ has a pvalue of 0.9716

1 - 0.9716 = 0.0284

2.84% probability that he is late for his first lecture.

b. Find the number of days per year he is likely to be late for his first lecture.

Each day, 2.84% probability that he is late for his first lecture.

Out of 180

0.0284*180 = 5.112 days

4 0

1 year ago

Which of the following are solutions to the equation sinx cosx = 1/4? Check all that apply.

N76 [4]

The solution is <span>B. π/12+nπ

</span>proof
sinx cosx = 1/4 is equivalent to 2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ, so x = π/12+nπ

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2 years ago

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