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Rama09 [41]
3 years ago
5

A diver went down 25.55 feet below the surface of the ocean, and then 13.5 feet further down, he then rose 12.85 feet. Enter and

solve an expression to find the diver's new depth.
Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

26.2 ft below the surface of the ocean

Step-by-step explanation:

We are told that the diver went 25.55 feet below the surface of the ocean. It means that the diver's distance with respect to surface of ocean will be = -25.55 ft

Now, the diver went down a further 13.5 feet, it means that the diver's distance with respect to surface of ocean will be = -13.5 ft

The diver now rose 12.85 feet which is upwards. It means that the diver's distance with respect to surface of ocean will be = +12.85 ft.

Thus, if his new depth is denoted by y, then the expression to denote this new depth is;

y = -25.55 - 13.5 + 12.85

y = -26.2 ft

Thus, the divers new depth is 26.2 ft below the surface of the ocean

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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
3 years ago
Show work what is the measures
noname [10]
Set it up 180=(7x+10)+ z because angle b is on the flat line and then solve for x (180-10, then 170/7) and you’ll get the value of x and from there you can put it in all
4 0
3 years ago
237 devided by 8 times 564
Goshia [24]
237÷8×564 = 16708.5..
6 0
4 years ago
Austin is planning a canoe trip with his dad and brother. They are taking a cooler and a few supplies that weigh a total of 89 p
Svetach [21]

Answer:

<em>3p + 89 < 765</em>

<em>Correct answer: D.</em>

Step-by-step explanation:

Austin, his dad, and brother make a group of three people of varying weights. Assume their average weight is p and their total weight 3p.

The cooler and other supplies weigh 89 pounds in total.

The weight of the supplies and the three people in the canoe should not be equal or exceed the maximum allowable weight of the canoe of 765 pounds.

This leads to inequality:

3p + 89 < 765

Correct answer: D.

3 0
3 years ago
What is the slope of the line that passes through the points (−2,−5) and (−3,−6)?
4vir4ik [10]

Answer:

Hi there!

The answer to this question is: 1

Step-by-step explanation:

use the change of y over change of x (delta y over delta x) to get the slope

(-5 - (-6)) / (-2 - (-3)) =1

5 0
3 years ago
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