Step-by-step explanation:
Domain of the function is [-2, 4] whereas the range of the function is [-4, 2].
Answer:
the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Step-by-step explanation:
Given the data in the question;
μ_x = 10 pound bags
standard deviation s_x = 0.24 pounds
sample size n = 4
The bag weights are normally distributed so;
p( x' less than 9.8 ) will be;
p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )
we know that;
μ_x' = μ_x = 10
and s_x' = s_x/√n = 0.24/√4
so; we substitute
p( z < ( (9.8 - 10) / (0.24/√4) )
p( z < -0.2 / 0.12 )
p( z < -1.67 )
{ From z-table }
⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05
Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
(x - 3)^2
(x - 3) * (x - 3)
x^2 - 3x
+ -3x + 9
x^2 - 6x + 9
Answer:
Width = 14m
Step-by-step explanation:
width = w
length = w - 6
area: w(w-6) = 112
w^2 - 6w = 112
14 x 14 = 196
6 x 14 = 84
196 - 84 = 112
Answer:
Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.
Step-by-step explanation:
Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.
M = 2R
M - 6 = R + 6
To isolate M, you need to add 6 on both sides.
M - 6 + 6 = R + 6 + 6
M = R + 12
M = 2R
Substitute M for the value above that we found.
R + 12 = 2R
Now we subtract R on both sides, so that only one side has the variable R.
R - R + 12 = 2R - R
12 = R
M = 2R
Substitute for the value of R.
M = 2 x 12
M = 24
