Answer:
1) The slope of the line is 
or 
2) The equation of the line is 
Step-by-step explanation:
step 1
Find the slope
we know that
The formula to calculate the slope between two points is equal to
take any two points from the values in the table
(2,1) and (4,6)
substitute the values in the formula
step 2
Find the equation of the line in point slope form
we have
substitute
Convert to slope intercept form
isolate the variable y
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 minutes after launching, the height is: -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
so the height is 102.7 meter.
Answer:
P(72 ≤ x ≤ 400) = 0.82. Correct: C.
Explanation:
<u>Probability Distribution</u>
In any probability distribution, the total probability of the sample space must be 1.
Since the sample space is given as a random variable x that takes values from 0 to 400, then:
P(0 ≤ x ≤ 400) = 1
For any value of x:
If the sample space is divided into two parts like:
P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:
P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1
Or, equivalently:
P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)
P(72 ≤ x ≤ 400) = 1 - 0.18
P(72 ≤ x ≤ 400) = 0.82
A. The value 0.92 is not correct since does not match with the value 0.82.
B. The value 0.18 is not correct since does not match with the value 0.82.
C. This is the correct value. Correct Choice
D. The value 0.982 is not correct since does not match with the value 0.82.
Here, we want to find the product of the two given functions
Mathematically;
