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3 years ago

4 Which of the following is a composite number between 80 ard 100?

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

Answer: 90

90 is a composite number because:

4 x 15 = 90

10 x 9 = 90

A composite number has more than two factors.

Hope this helps!

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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

if Kassidy earns 8$ per hour and Andrea earns 10$ per hour how much more in PERCENT% does Andrea make than Kassidy?

Vilka [71]

Subtract the numbers.

10 - 8 = 2

Divide it to the smaller number:

2 / 8 = 0.25

Multiply by 100:

0.25 * 100 = 25%

5 0

3 years ago

Please help me I’m timed !

Kazeer [188]

Answer: B

I think......

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

An earthworm tunnels 2 centimeters into the ground each day the earthworm tunnels at the same pace everyday how many days will i

marusya05 [52]

$14 \div 2 = 7 \: days$

6 0

3 years ago

Read 2 more answers

What is the sum of the degrees of the interior angles of a 19-gon?

emmasim [6.3K]

Sum of interior angles formula = (n-2) x 180
where n = number of sides

so,
( 19-2 ) x 180
= 17 x 180
= 3060

ans : A

hope it helps :)

7 0

3 years ago

4 Which of the following is a composite number between 80 ard 100?​

4 Which of the following is a composite number between 80 ard 100?