7. Write the explicit formula for the geometric sequence 32, 16, 8, 4,...
1 answer:
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<span><u><em>Answer:</em></u>
y = 5x - 7
<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>
<span> = 5
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>
y = 5x - 7
Hope this helps :)</span>
y = 5x - 7
<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>
y = 5x - 7
Hope this helps :)</span>
Answer: a) 0.8413, b) 0.9987.
Step-by-step explanation:
Since we have given that
Mean = 3 pounds
Standard deviation = 0.25 pounds
n = 28 bricks
So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
Hence, a) 0.8413, b) 0.9987.