Answer:
4.64c
Step-by-step explanation:
Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
12
Step-by-step explanation:
Given
x -
+ 2x =
+ x
Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions
6x - 15 + 24x = 10 + 12x
Answer:
155 women must be randomly selected.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be 28 lbs.
This means that 
We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?
This is n for which M = 3.7. So






Rounding up:
155 women must be randomly selected.
Answer: idk sorry there’s apps that like Photomath that might help though
Step-by-step explanation: