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2 years ago

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