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Sergio [31]
3 years ago
6

Please answer this question step by step!

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

x =  \frac{3}{2}

Step-by-step explanation:

first distribute

\frac{36x - 9}{2x}  = 15

next multiply both sides by 2x

36x - 9 = 15(2x) \\ 36x - 9 = 30x

simplify

- 9 =  - 6x

divide both sides by -6

\frac{ - 9}{ - 6}  = x \\   \frac{3}{2}  = x

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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

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S_A_V [24]
C= 5(9*3b)
C= 5(9*12)
C= 5(108)
C=540
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3 years ago
Determine if the triangle is similar. If similar, state how and complete the similarity statement.
Yuri [45]

Answer:

It would be...

Step-by-step explanation:

Similar By: 22.5 and 27

ABCD: G AND H AND F

I am not sure but I try hard

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A tennis ball travels at speed of 120 miles per hour.convert this rate to feet per second
Vanyuwa [196]
120\frac{mile}{hour}\\\\
1 \ mile=5280\ feet\\
1\ hour=3600\ seconds\\\\
120\frac{mile}{hour}=120*\frac{5280}{3600}=\frac{120*5280}{3600}=\frac{633600}{3600}=176\frac{feet}{second}\\\\
\boxed{120\frac{mile}{hour}=176\frac{feet}{second}}
4 0
3 years ago
PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!
kap26 [50]

Answer:2/16

Step-by-step explanation:

8 0
3 years ago
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