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icang [17]
3 years ago
13

Find the number if 20% of 64 is 10% of it?

Mathematics
2 answers:
defon3 years ago
5 0

Answer:

The number is 128

Step-by-step explanation:

Let the number be represented by X

Therefore

20/100*64=10/100*X

---10X=1280

Now dividing both sides of the equation by 10 it will be

=10X/10=1280/10 which is

---X=128

Therefore the number is 128

oee [108]3 years ago
3 0

Answer:

128

Step-by-step explanation:

20% of 64

= 0.2 × 64 = 12.8

10% = 12.8 , then

100% = 12.8 × 10 = 128

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Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the
Alexxandr [17]

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million)     Number of companies

25 up to 35                                                    4

35 up to 45                                                    19

45 up to 55                                                    27

55 up to 65                                                    16

65 up to 75                                                     9

TOTAL                                                            75

Let's find the probabilities first:

P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}

For 35 up to 45

P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}

For 45 up to 55

P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}

For 55 up to 65

P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}

For 65 up to 75

P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}

Chi-Square Table can be computed as follows:

Expense   No of   Probabilities(P)  Expe                (O-E)^2   \dfrac{(O-E)^2}{E}

             compa                                 cted E (n*p)

             nies (O)  

25-35           4      0.0612    75*0.0612 = 4.59        0.3481       0.0758

35-45           19     0.2218   75*0.2218 = 16.635     5.5932       0.3362

45-55           27     0.3568   75*0.3568 = 26.76     0.0576      0.021

55-65           16      0.2552   75*0.2552 = 19.14      9.8596      0.5151

65-75           9      0.0839     75*0.0839 = 6.2925   7.331         1.1650

                                                                                           \sum \dfrac{(O-E)^2}{E}= 2.0492                                                                                                      

Using the Chi-square formula:

X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square  \ X^2 = 2.0942

Null hypothesis:

H_o: \text{The population of advertising expenses follows a normal distribution}

Alternative hypothesis:  

H_a: \text{The population of advertising expenses does not follows a normal distribution}

Assume that:

\alpha = 0.02

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from X^2 = 11.667

Decision rule: To reject H_o  \  if \  X^2  test statistics is greater than X^2 tabulated.

Conclusion: Since X^2 = 2.0942 is less than critical value 11.667. Then we fail to reject H_o

6 0
3 years ago
Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours
Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

11\cdot x=11x

y represent the number of hours he worked in June.

the amount he earned in June was

11\cdot y=11y

Step 2

the amount of money he earned is May and June is the sum of the values

\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}

I hope this helps you

5 0
1 year ago
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
MArishka [77]

Answer:

The y-coordinate of the solution is -5.

Step-by-step explanation:

I graphed the equations on the graph below to find the solution of the system.

If this answer is correct, please make me Brainliest!

8 0
3 years ago
The box plots below show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
LekaFEV [45]

Answer:

The interquartile range for December should be 21 minus 18 = 3.

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
At a school dance, the ratio of girls to boys is 8:3. If there are 528 students at the dance, how many are boys and how many are
weqwewe [10]

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

6 0
3 years ago
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