One-eight of the sum of a number and three. The algebraic expression for the given quantity is __

The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by

kirza4 [7]

Answer:

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Step-by-step explanation:

To complete the table, substitute each value of x into the equation, $y = 0.065x$ , to find each corresponding y-value.

Thus:

✔️When x = 20:

$y = 0.065x$

$y = 0.065(20)$

$y = 1.3$

✔️When x = 40:

$y = 0.065x$

$y = 0.065(40)$

$y = 2.6$

✔️When x = 60:

$y = 0.065x$

$y = 0.065(60)$

$y = 3.9$

✔️When x = 80:

$y = 0.065x$

$y = 0.065(80)$

$y = 5.2$

✔️When x = 100:

$y = 0.065x$

$y = 0.065(100)$

$y = 6.5$

✔️<em>The graph of that represents this table of values is graph C. See attachment.</em>

6 0

3 years ago

Passage 1

Delvig [45]

I think it’s the last one I’m not sure tho :)

7 0

3 years ago

Sami ordered 132 dresses for her store .what is 132 rounded to the nearest ten?

Katyanochek1 [597]

The answer is 130 because if the number in the ones place is 0-4 it stays in the 30s, but if its 5-9 it rounds up to the 40s

5 0

3 years ago

Read 2 more answers

The magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100

9966 [12]

Answer:

$t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333$

Critical value

The significance is 5% so then $\alpha=0.05$ and $\alpha/2=0.025$ then the critical value for this case would be $z_{\alpha/2}= 1.64$ . Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

$p_v =P(z>3.333)=0.000434$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

$\bar X=11.5$ represent the sample mean

$\sigma=4.5$ represent the population standard deviation

$n=100$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:

Null hypothesis: $\mu \leq 10$

Alternative hypothesis: $\mu > 10$

the statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing we got:

$t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333$

Critical value

The significance is 5% so then $\alpha=0.05$ and $\alpha/2=0.025$ then the critical value for this case would be $z_{\alpha/2}= 1.64$ . Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

$p_v =P(z>3.333)=0.000434$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

6 0

3 years ago

Select the expression that is equivalent to 48 + 12.

Rzqust [24]

Answer:

Where are the expressions?

4 0

3 years ago

Read 2 more answers

One-eight of the sum of a number and three. The algebraic expression for the given quantity is ___