An angle is 4 times as great as it's supplement. Find the measure of the supplement of the angle

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

A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic tr

Gnoma [55]

Answer:

208

Step-by-step explanation:

13 options for colours = 13C1 = 13

AND

2 options for A/C = 2C1 = 2

AND

2 options for transmission = 2C1 = 2

AND

2 options power windows = 2C1 = 2

AND

2 options for CD player = 2C1 = 2

So,

13×2×2×2×2 = 208

3 0

3 years ago

Use synthetic division and the remainder theorem to find p(a) = 2x3 -x2 + 10x; = a = 1/2

sergey [27]

Answer:

p(1/2) = 5

Step-by-step explanation:

Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x

Set up synthetic div.:

1/2 ) 2 -1 10 0

1 0 5

------------------------

2 0 10 5

The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.

8 0

3 years ago

A leaky water faucet loses 0.25 liter of water

Viefleur [7K]

Answer:

3 liters.

Step-by-step explanation:

You can write the problem as an equation.

f(x)=0.125x

Where x is the number of hours. The 0.125 is how many liters the faucet loses in 1 hour. Then, just plug in 24.

0.125*24=3

5 0

4 years ago

The sum of a number and 6 is greater than or equal to -4

olga2289 [7]

N is greater than or equal to -10

4 0

3 years ago