The gravitational force on a body falling towards the earth is directly proportional to the
1 answer:
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Answer:
Equation: y=2x-1
Slope: 2
y-intercept: -1
Step-by-step explanation:
Hi there!
We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line
First, let's find the slope
The formula for the slope (m) calculated from two points is where (
,
) and (
,
) are points
We have everything we need for the formula, but let's label the values of the points to avoid any confusion
x1=-1
y1=-3
x2=-2
y2=-5
Now substitute into the formula (remember: the formula has SUBTRACTION):
m=
simplify
m=
add
m=
divide
m=2
So the slope is <u>2</u>
Now let's find the equation of the line
The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We calculated the slope from earlier, so let's substitute that into the equation
y=2x+b
Now we need to find b
The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)
Let's take (-1, -3) as an example
substitute -1 as x and -3 as y into the equation
-3=2(-1)+b
multiply
-3=-2+b
Add 2 to both sides
<u>-1=b (the value of the y intercept!) </u>
Substitute -1 as b into the equation
<u>y=2x-1</u>
We found everything needed for this problem
Hope this helps!
Answer:
b) The width of the confidence interval becomes narrower when the sample mean increases.
Step-by-step explanation:
The confidence interval can be calculated as:
a) The width of the confidence interval becomes wider as the confidence level increases.
The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.
b) The width of the confidence interval becomes narrower when the sample mean increases.
The above statement is false. As the sample mean increases the width of the confidence interval increases.
c) The width of the confidence interval becomes narrower when the sample size n increases.
The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.
Answer:
(a) Growth
Step-by-step explanation:
Given
-- current
--- rate
Solving (a): Growth or decay
The question says his followers increases each day by 24%.
Increment means growth.
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<em>Hence, it is a growth problem</em>
Solving (b): Equation to represent the scenario.
Since the rate represents growth, the equation is:
Substitute: and