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3 years ago

Simplify this fraction 25/75

2 answers:

5 0

By factoring out the greatest common factor, as shown below, we can find our answer. Realize that 25 "goes in" to both 25 and 75, meaning that we can simplify the fraction.

$\dfrac{25}{75} = \dfrac{25 \cdot 1}{25 \cdot 3} = \dfrac{1}{3}$

The simplified fraction is 1/3.

Mumz [18]3 years ago

3 0

Exact form : 1/3

Decimal form : 0.3

I hope this helps

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What is the justification for each step in the solution of the equation? 4(4x+6)−7=77−4x

zepelin [54]

Answer:

20x + 17 = 77 --> Addition Property of Equality:

You are adding (Addition Property) 4x to both sides of the equal sign (Equality).

20x = 60 --> Subtraction Property of Equality:

You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).

x = 3 --> Division Property of Equality:

You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.

6 0

3 years ago

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:

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

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%.

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

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%.

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

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%.

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?

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

This might be hard for yall(it ok my fwiends ) ;). But there is a alot . Look at pic pwease sorry its all over the place.only 3q

horsena [70]

an really easy website for this is MathPapa algebra calculator

4 0

3 years ago

How do you write 9.14 X 10^-5 in standard form?

soldi70 [24.7K]

.0000914

Since it is negative you go behind the .

so you would go 5 spaces behind the point

8 0

3 years ago

6÷1/5 = A. 1 1/5 B. 1/5 C. 5/36 D. 30

trasher [3.6K]

Answer:

D. 30

Step-by-step explanation:

6 ÷ 1/5 -given expression

6 x 5 -use the keep, change, flip method, where you keep the first number, change the division sign to a multiplication sign, and flip the fraction that comes after the symbol.

6 x 5 = 30

30 is the answer

3 0

3 years ago