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stellarik [79]
3 years ago
7

Pedro buys 4 books at the fair for$7each what is the total amount pedro spends on4 books? Use the letter b to represent the tota

l amount pedro spends and then solve the problem
Mathematics
1 answer:
algol [13]3 years ago
5 0
Buys 4 books for $7 each

b=$7 times 4

b=$21
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A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distri
nlexa [21]

Answer:

df=categor-1=6-1=5

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got \chi^2_{critc}= 11.0705

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

For this case we want to test:

H0: Absenteeism is distributed evenly throughout the week

H1: Absenteeism is NOT distributed evenly throughout the week

We have the following data:

Monday  Tuesday  Wednesday Thursday Friday Saturday    Total

 12             9                 11                 10           9            9              60

The level of significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{60}{6}= 10 and the expected value is the same for all the days since that's what we want to test.

now we can calculate the statistic:

\chi^2 = \frac{(12-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(11-10)^2}{10}+\frac{(10-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(9-10)^2}{10}=0.8

Now we can calculate the degrees of freedom (We know that we have 6 categories since we have information for 6 different days) for the statistic given by:

df=categor-1=6-1=5

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got \chi^2_{critc}= 11.0705

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

4 0
2 years ago
There are 3 red marbles in a bag of 12 marbles. A larger bag has a total of 26 marbles, including 7 red marbles. Are the chances
qwelly [4]
Short answer: No

Explanation: if you bring the fractions down as low as possible, the first bag has a 1 in 4 chance of getting a red marble. The 2nd bag can't be brought down anymore because 26 and 7 do not share any common divisors.
8 0
2 years ago
A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is t
slava [35]

it is 300 and 300

and 300

7 0
3 years ago
Please hurry 14PTS 3 QUESTIONS
goldfiish [28.3K]

Answer:

a) 1/6 b) 0.11

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome

If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)

Total outcome of event = 6² = 36

If sum of 7 are generated after rolling, the expected outcome will be:

E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}

Note that each of the list will given a sum of 7

Total expected outcome = 6

Probability that a sum of 7 is rolled

= 6/36

= 1/6

b) Similarly, if a product of 12 is rolled, the expected outcome of event are:

E = {(2,6),(6,2),(3,4),(4,3)}

Expected outcome = 4

Note that the product of each outcome will give us 12.

Probability that a product of 12 is rolled = 4/36

= 1/9

= 0.11 (to nearest hundredth)

3 0
3 years ago
Lines rand s are parallel. If the slope of line ris what is the slope of 2/5 line ?
Alexeev081 [22]

Answer:

2/5

Step-by-step explanation:

slope is the "inclination" of a line, so to be parallel they must have the same slope

3 0
3 years ago
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