Answer:
a) x-intercepts are (0,0) and (5,0)
b) 6.25 yards
Step-by-step explanation:
a) x intercepts are:
-x² + 5x = 0
-x(x - 5) = 0
x = 0, 5
b) -x² + 5x
-(x² - 5x)
-[x² - 2(x)(5/2) + (5/2)² - (5/2)²]
-(x - 5/2)² + 25/4
Max height is:
25/4 yards or 6.25 yards
Answer:
0.000221
Step-by-step explanation:
Using the z score formula when a random number of samples is given =
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation = 7
n is random number of samples = 83
Note that:2.2 dollars = x-μ
z = 2.2/7/√8.3
z = 3.51402
Probability value from Z-Table:
P(x<27.7) = 0.99978
P(x>27.7) = 1 - P(x<27.7) = 0.00022069
Approximately = 0.000221
Hence, the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected is 0.000221
The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
learn more on inverse of a function here: brainly.com/question/3831584
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Answer:
5.65685425
Step-by-step explanation:
Okay so you would line them up then you would multiple 5 and 0 then 7 and 5 and then you add a 0 then you would get the answer 350 then you would multiply the same numbers then the answer you would get is 3500 then you add 3500+350=3850
