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meriva
2 years ago
7

Find the slope of this line

Mathematics
1 answer:
Airida [17]2 years ago
4 0

Answer:

0

Step-by-step explanation:

On a graph, any line that is horizontal has a slope of zero. Try any points and and plug them into the slope formula equation

(Y2-Y1/X2-X1).

The answer will always be zero.

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The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.
AURORKA [14]

The two nominal variables are related.

The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.  

Ownership           C1                  C2                  C3

No                         40                 32                   48

Yes                        30                 48                   52

The first thing to do in order to determine if they are related or not is to state our null and alternative hypothesis

Null hypothesis

\mathbf{H_o: Two \nomial  \ variables  \ are \  related}

Alternative hypothesis

\mathbf{H_a: Two \nomial  \ variables  \ are \  not \  related}

Using the Chi-square test statistics which can be expressed by using the formula  

X ^2 = \sum \dfrac{(O-E)^2}{E}

Ownership           C1                  C2                  C3                  Total

No                         40                 32                   48                 120

Yes                        30                 48                   52                 130

Total                      70                 80                   100                250

The expected values are calculated as:

\mathsf{E_{a,b} = \dfrac{(row \ total \times column \ total )}{grand \ total }}

\mathsf{E_{1,1} = \dfrac{(70 \times120 )}{250 }}

\mathsf{E_{1,1} = 33.6}

\mathsf{E_{1,2} = \dfrac{(70 \times130 )}{250 }}

\mathsf{E_{1,2} = 36.4}

\mathsf{E_{2,1} = \dfrac{(80 \times120 )}{250 }}

\mathsf{E_{2,1} = 38.4}

\mathsf{E_{2,2} = \dfrac{(80 \times 130 )}{250 }}

\mathsf{E_{2,2} = 41.6}

\mathsf{E_{3,1} = \dfrac{(100 \times120 )}{250 }}

\mathsf{E_{3,1} = 48}

\mathsf{E_{3,2} = \dfrac{(70 \times130 )}{250 }}

\mathsf{E_{3,2} = 52}

∴ Using the Chi-square test statistics, we have:

X ^2 = \sum \dfrac{(O-E)^2}{E}

X ^2 = \Bigg(  \dfrac{(40-33.6)^2}{33.6}+   \dfrac{(30-36.4)^2}{36.4}+   \dfrac{(32-38.4)^2}{38.4}+  \dfrac{(48-41.6)^2}{41.6} +   \dfrac{(48-48)^2}{48}+   \dfrac{(52-52)^2}{52} \Bigg)

X ^2 = \Bigg(  \dfrac{40.96}{33.6}+   \dfrac{40.96}{36.4}+   \dfrac{40.96}{38.4}+  \dfrac{40.96}{41.6} +   \dfrac{0}{48}+   \dfrac{0}{52} \Bigg)

X ^2 = \Bigg(  1.2190+   1.1253+  1.0667+ 0.9846+0+ 0 \Bigg)

\mathbf{X ^2 =4.3956}

The degree of freedom df = ((r - 1) × (c - 1))

= (3 - 1) (2 -1 )

= 2 × 1

= 2

∴

Assuming the level of significance = 5%

The p-value of the Chi-square test statistics at df of 2 is:

= \mathbf{P(X^2 > 4.3956) \implies 0.111}

Therefore, we can conclude that since the p-value (0.111) is greater than the level of significance (0.05), we fail to reject the null hypothesis.

Hence, the two nominal variables are related.

Learn more about Chi-square test statistics here:

brainly.com/question/2365682?referrer=searchResults

7 0
3 years ago
10.507140429 nearest hundredth
rosijanka [135]

Answer:

10.51

Always look to the right of the place you are rounding

so...

if you look at 10.507140429

the 0 after 5 is in the hundredths place

look to the right of 0 and you'll see a 7.

If the number to the right of the place you are supposed to round to is:

5 or greater - round up

less than 5  - round down

Hope this helped

6 0
3 years ago
The cost to join a gym includes a one-time membership fee, plus a monthly fee. John joined the gym and paid $325 for 6 months.Ab
Anettt [7]
We need to construct the system of equations in order to solve that problem. Let's denote one-time membership fee with x and monthly fee with y. Then we can write that John paid x+6y=325 and Abigail paid x+9y=475. Solving the system of equations \left \{ {{x+6y=325} \atop {x+9y=475}} \right., we find that x=25 and y=50. The monthly fee is 50 dollars.
8 0
3 years ago
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8
Anon25 [30]

Answer: c is the only answer

explanation: the example equals 60 and c is the only one equivalent to the answer.

<em><u>Plz Can I get BRAINLIEST!!!</u></em>

<em><u></u></em>

3 0
3 years ago
if there were 243 students and 2 students that were out of state were chosen every time 7 of the students that were in state wer
katen-ka-za [31]
The ratio 2:7. Add 7 and 2 together to get 9. Then divide 243 by 9 which is 27. 27x2 is 54 so. There was 54 students out of state. And 189 that were in state
7 0
4 years ago
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