What is the quotient if 2305÷294

Given that in a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r^2 is reported as .40.

r square, being the coefficient of determination explains the variablity of one variable due to the variability of the other. Here Mobility explains 40% variation in the number of friends is right answer.

Option B is wrong because r = ±6324, so cannot say positive or negative.

Similarly option c is wrong because we are unsure whether negative correlation. Option d is wrong since 16% is not right .

8 0

3 years ago

Answer these 2 questions please

Whitepunk [10]

Hi there!

Question 1:

For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:

$\frac{7}{8}-\frac{1}{4}$

Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: $\frac{a}{b}-\frac{c}{b}=a\frac{1}{b}-c\frac{1}{b}=(a-c)\frac{1}{b}=\frac{a-c}{b}$ ). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:

$\frac{7}{8}-\frac{1}{4}\cdot\frac{2}{2}$

$\frac{7}{8}-\frac{2}{8}$

Now, subtracting the numerators, we get:

$\frac{5}{8}$ yards of string will remain.

Question 2:

For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:

$\frac{1}{4}+\frac{7}{12}$

Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: $\frac{a}{b}+\frac{c}{b}=a\frac{1}{b}+c\frac{1}{b}=(a+c)\frac{1}{b}=\frac{a+c}{b}$ ). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:

$\frac{1}{4}\cdot\frac{3}{3}+\frac{7}{12}$

$\frac{3}{12}+\frac{7}{12}$

$\frac{10}{12}$ , which is equivalent to (dividing both the top and the bottom by 2) $\frac{5}{6}$ inches.

Hope this helps!

8 0

3 years ago

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.

hodyreva [135]

The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

<h3>Trigonometric function that models the data</h3>

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

y = 1.87sin(-0.29 x 1 + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

y = 1.87sin(-0.29 x 2 + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

y = 1.87sin(-0.29 x 4 + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

y = 1.87sin(-0.29 x 7 + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

y = 1.87sin(-0.29 x 9 + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

y = 1.87sin(-0.29 x 10 + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

y = 1.87sin(-0.29 x 13 + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

y = 1.87sin(-0.29 x 17 + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

y = 1.87sin(-0.29 x 20 + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

Learn more about trigonometry functions here: brainly.com/question/1143565

#SPJ1

8 0

2 years ago