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Juliette [100K]
2 years ago
12

Which table represents a direct variation function?(NEEDED ANSWER ASAP)

Mathematics
1 answer:
Pani-rosa [81]2 years ago
8 0

Answer:

See attachment

Step-by-step explanation:

The table that represent a direct variation is shown in the attachment.

To determine a direct variation from tables, you need to inspect the y-intercept of each table.

If there is a table with y-intercept of 0, then it represents a direct variation.

Or you could check the table with equation of the form: y=kx if you cannot see zero in the y-intercepts directly

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10.
Kay [80]

Answer:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.535 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.2 \leq \sigma \leq 2.8

And the best option would be:

A.  2.2 < σ < 2.8

Step-by-step explanation:

Information provided

\bar X=32.1 represent the sample mean

\mu population mean  

s=2.4 represent the sample standard deviation

n=83 represent the sample size  

Confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=83-1=82

The Confidence is given by 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=62.132

\chi^2_{1- \alpha/2}=104.139

And replacing into the formula for the interval we got:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.535 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.2 \leq \sigma \leq 2.8

And the best option would be:

A.  2.2 < σ < 2.8

3 0
3 years ago
A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?
Akimi4 [234]
The answer is 12 because if you roll it twice the possibility is 12
3 0
2 years ago
Find the change below as a percentage. Then choose whether it is a percent of incease ror a percent of decrease. Change from 22
melisa1 [442]

\dfrac{33}{22}\times100 =150

Ans: 150%, a percent of incease

7 0
2 years ago
If f(1) =5 and f(n) = f(n-1)+2, then f(4) =
Vadim26 [7]

Answer:

3.11

Step-by-step explanation:

f(4)=f(4-1)+2

=f(3)+2

=f(3-1)+2+2

=f(2)+4

=f(2-1)+2+4

=f(1)+6

=5+6 (f(1)=5)

=11

5 0
2 years ago
Find the slope of the line through (–9, –10) and (–2, –5). A. –five-sevenths B. seven-fifths C. five-sevenths D. –negative seven
vredina [299]

Answer:

C 5/7

Step-by-step explanation:

We can find the slope of a line using

m = (y2-y1)/(x2-x1)

   = (-5 - -10) /(-2 - -9)

   = (-5 +10)/(-2+9)

   5/7

8 0
3 years ago
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