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TEA [102]
2 years ago
14

Which of the following represents an equation in standard form for the line that passes through (3, −1) and (−5, −3).

Mathematics
1 answer:
kotegsom [21]2 years ago
6 0

Answer:

  • y = ¼x + (-7/4)

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

<h3>the </h3>

find C in the equation (y=mx+c)

<h3>C = y-mx ( C = -1-¼(3)= -7/4</h3>

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

<h3>y = ¼x+(-7/4)</h3>
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⚡️⚡️Really need help, would appreciate it⚡️⚡️
pentagon [3]

Answer:

The answer to your question is letter A. Regular size is cheaper than Economy size by $0.0003 per gram

Step-by-step explanation:

Cost of 1 gr of economy size

  5000 gr (5 kg) -------------------  $ 5.15

         1 gr            --------------------     X

x = 1 x 5.15 / 5000 = $0.0010

Cost of 1 gr of regular size

  820 gr -------------------   $0.60

       1 gr --------------------   x

x = 1 x 0.6 / 820 = $ 0.0007

Difference of cost  = $0.0010 - $0.0007 = $0.0003

3 0
3 years ago
If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? use 3.14 for pi,
Basile [38]
I hope this helps you



Volume =pi.r^2.h


Volume =3,14.8^2.10

Volume =31,4.64

Volume =200,96
8 0
2 years ago
What is 8,100 in scientific notation?
Rzqust [24]
8.1 I think but there's an app called, tiger something and it tells,you the answers
6 0
3 years ago
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
Using the information given, calculate a grade to the nearest whole percent. The "rise" is 525 feet. If the scale on the map sho
melamori03 [73]
The grade on the west side would be the vertical rise divided by the horizontal run or 525 divided by 800' or rounded off to 66% (a steep grade as in an underground mine a grade of 25% is considered very steep for vehicles to go up or conveyors to travel). On the east side the 40% grade was obtained by dividing the 525' vertical height by the 1300' run. 
5 0
3 years ago
Read 2 more answers
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