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AnnZ [28]
3 years ago
15

Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Pl

ayed soccer for 9/10 2/3 2/4 of an hour Jogged forof an hour Which statement correctly compares the times of 2 of his activities?

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.

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According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health
katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

8 0
3 years ago
Solve the equation <br> |x-3| -10=-5
Deffense [45]

Answer:

x=8                     x=-2

Step-by-step explanation:

|x-3| -10=-5

Add 10 to each side

|x-3| -10+10=-5+10

|x-3| =5

Now separate into two equations , one positive and one negative

x-3 = 5           x-3 = -5

Add 3 to each side

x-3+3 = 5+3    x-3+3 = -5 +3

x=8                     x=-2

5 0
3 years ago
Read 2 more answers
If using the method of completing the square to solve the quadratic equation x2 −4x+13=0, which number would have to be added to
stiv31 [10]
X²-4x+(4/2)²-(4/2)²+13=0
x²-4x+4-4+13=0


-4 should be added



Mark brainliest please
7 0
2 years ago
Which term in the quotient of this expression contains an error?
Savatey [412]

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

7 0
3 years ago
PLZ HELP QUICKLY , GET BRAINLY
Leviafan [203]

Answer:

D.) Fixed costs do not change no matter how much a business produces; variable costs do change.

Step-by-step explanation:

A variable cost varies with the amount produced, while a fixed cost remains the same no matter how much output a company produces.

I'm 100% sure that this is the answer.

3 0
3 years ago
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