(a): How far does Debra travel per revolution? (b): What is the slope of the graph?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

5 0

She travels 8 feet per revolution.

The slope is 16/2=8.

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netineya [11]

Answer:

y = 4.375x + 2.5

Step-by-step explanation:

The equation of the line is expressed as y = mx+c

m is the slope

c is the intercept

Using the coordinate points (0, 2.5), (4, 20)

Slope m = 20-2.5/4-0

m = 17.5/4

m = 4.375

Get the intercept

Substitute (0, 2.5) and m = 4.375 into y - mx+c

2.5 = 4.375(0) + c

2.5 = c

Get the equation required

y = 4.375x + 2.5

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saveliy_v [14]

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A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

Olegator [25]

Answer:

i) $2 - 1.64 \frac{0.1}{\sqrt{16}}= 1.959$

$2 + 1.64 \frac{0.1}{\sqrt{16}}= 2.041$

So then the 90% confidence interval is given by (1.959, 2.041)

ii) Figure attached

iii) $ME= 1.64 *\frac{0.1}{\sqrt{16}}= 0.041$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}}$ (1)

And for a 90% of confidence the significance is given by $\alpha=1-0.9=0.1$ , and $\frac{\alpha}{2}=0.05$ . Since we know the population standard deviation we can calculate the critical value $z_{0.05}= \pm 1.64$