LAST QUESTION... THANK YOU!!

Twenty different statistics students are randomly selected. For each of them, their body temperature (C) is measured and thei

lara31 [8.8K]

Answer:

B. No, because while there is no linear correlation, there may be a relationship that is not linear.

Step-by-step explanation:

Relationships between variables are diverse and fitted model of a dataset for each of the models will usually differ. That is the lebl of association between variables for a linear model may differ and better than a quadratic model or an exponential may perform. For r = 0 ; this means no relationship exists between the variables, however , this is the information for the linear model, which clearly depicts that no assicitio exist for the linear fit. A model change could result in a differ and slightly or highly correlated R value.

6 0

3 years ago

A cafeteria starts with 750 fish sticks for lunch. Each meal they serve uses 6 of the fish sticks, At the end of the lunch there

BigorU [14]

Answer:

The value of N = 118

Step-by-step explanation:

750 = 6n + 42

move all the numbers that don't contain n to the right side

6n = 750 - 42

6n = 708

708 / 6 = 118

n = 118

plug the numbers back in

6 ( 118) = 708

708 = 708

plug the 42 back in

708 + 42 = 750

4 0

3 years ago

Mona stopped at a gas station where the price per gallon was $2.80. She spent $14 to fill up her car. What equation would repres

alina1380 [7]

Answer:

A.) 5 x 2.80 B.) 100

Step-by-step explanation:

14/2.80=5 which is how many gallons

5 x 20 = 100 for the miles

8 0

3 years ago

Read 2 more answers

The ordered pair R(-2,7) is translated 5 units to the right and down 2 units. which of the following descirbes the translation u

grigory [225]

Choice D is the correct answer.
For translations, moving to the right 5 units means you add 5 to x, and moving down 2 units means you subtract 2 from y. D is the only choice that accurately represents this.

Hope this helps

3 0

2 years ago

How do you do this question?

AfilCa [17]

<h3>4 Answers: A, B, C, D</h3>

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Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

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The conditions to use the integral test have been met. So we have to see if $\displaystyle \int_1^{\infty}f(x)dx$ converges or not.

Let's integrate and find out

$\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\$

So we have

$\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\$

Meaning that,

$\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\$

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression $-\frac{1}{5b^5}+\frac{1}{5a^5}$ will turn into $\frac{1}{5}$

Therefore,

$\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\$

Because this integral converges, this means the series $\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}$ also converges as well by the integral test.

7 0

3 years ago