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3 years ago

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

1 answer:

3 0

We can calculate the slope of this line passing through (4,5) and (8,9) like this:
m = (y2 - y1)/(x2 - x1)
m = (9 - 5)/(8 - 4)
m = 4/4
m = 1
so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:
y - y1 = m(x - x1)
y - 5 = 1*(x - 4)
y - 5 = x - 4
y = x + 1
that is the equation of the line, its slope is 1 and the y-intercept is 1

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weight of 3rd bag =
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2 years ago

For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was us

Yakvenalex [24]

Answer:

There is a linear correlation between the chest size and weight

Proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 .

Step-by-step explanation:

Null Hypothesis: $H_0$ = There is no linear correlation between the chest size and weight

Alternative Hypothesis : $H_a$ =There is a linear correlation between the chest size and weight

The value of the linear correlation coefficient is r=0.882.

n = 8

Formula : $t=\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$

$t=\frac{0.882\sqrt{8-2}}{\sqrt{1-(0.882)^2}}$

$t=4.584$

Degree of freedom = n-1 = 8-1 = 7

α =0.05

so, p value is 2.365

t calculated > t critical

So, we reject the null hypothesis

So, There is a linear correlation between the chest size and weight

The proportion of the variation in weight can be explained by the linear relationship between weight and chest size = $r^2 = (0.082)^2=0.006724$

Hence proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 and There is a linear correlation between the chest size and weight

4 0

3 years ago

What is the difference of the rational expressions below? 13x/5 - 4x/5

salantis [7]

<span>13x/5 - 4x/5
</span> What you must do in this case is a sum of fractions.
Step 1:
Common factor 5 in the denominator
Step 2:
Perform subtraction of numerator
Step 3:
Rewrite the expression.
See attached image.
Answer:
a. 9x/5

7 0

3 years ago

Read 2 more answers