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Dafna1 [17]
2 years ago
12

A small company’s net income for the first six months of the year was $76,500 and for the last six months it was $100,000. What

is the ratio of the first six months of the year to the last six months of the year in simplest form?
Mathematics
2 answers:
algol [13]2 years ago
5 0

Answer:

Ratio of the first 6 months and last six months is 153 : 200

Step-by-step explanation:

Net income for the last six months of the year = $76500

Net income of the last six months = $100000

Now we have to find the ratio of income in the first six months to the income in the last six months.

= \frac{\text{Income in the first six months}}{\text{Income in the last six months}}

= \frac{76500}{100000}

= \frac{765}{1000}

=  \frac{153}{200}

Therefore, the ratio of the incomes in two halves of a year is 153 : 200

worty [1.4K]2 years ago
4 0
76,500/100,000 divide by 100
765/1,000. divide by 5
153/500
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Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea
andreev551 [17]

Answer:

From $1600 to $3400.

Step-by-step explanation:

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

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

95% of the measures are within 2 standard deviation of the mean.

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

In this problem, we have that:

Mean = 2500

Standard deviation = 300

What interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?

By the Empirical Rule, 99.7% fall within 3 standard deviations frow the mean. So

From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.

8 0
2 years ago
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment
stealth61 [152]

Answer:  First option is correct.

Step-by-step explanation:

Enrollment month   Actual   Predicted   Residual

January                   500           8                4

February                 400           15              -1

March                     550            15              -1

April                         13              12              -1

May                         16              17              -1

June                        14              15              -1

Since we know that

Residual value = Actual value - Predicted value

Sum of residuals is given by

4-1-1+1-1-1=1

since we can see that sum of residual is more than 0.

So, it can't be a good fit .

Hence, No, the equation is not a good fit because the sum of the residuals is a large number.

Therefore, First option is correct.

6 0
2 years ago
Drag each expression to show whether it is equivalent to
Kazeer [188]

Answer:

We need to find which expressions are equivalent to 6(c+6), 6c+6 or neither.

6c+12: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.

6c+12=+(c+2)

Therefore, this expression is equivalent to neither of the given expressions.

2(3c+3): We just need to apply the distributive property.

2(3c+3)=6c+6

Therefore, this expression is equivalen to 6c+6.

We use the same process to the other expressions.

(6c)+(6\times 6)=6c+36=6(c+6)

3c+6+3c=6c+6

6c+36=6(c+6)

(6+c)+(6+6)=c+18, equivalent to neither.

7 0
2 years ago
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 <u>1,609 meter </u>    x   <u>      1 mile       </u>   =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x <u>  1,760 yards </u>   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

3 0
2 years ago
5x680 in the Distributive property
AysviL [449]
It is (5x600)+(5x80)=3400
5 0
2 years ago
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