Answer:
b. 57
Step-by-step explanation:
AO and BO are both radii, so they're congruent, and it's an isosceles triangle. Therefore, angle A and angle B must be congruent, so we can write the equation x+x+66=180, solving for x gives us 57
<span>The correct answer is C: 80 shares of the stock and the price of each share is $40.</span>
Answer:
Step-by-step explanation:
Given that a confidence interval was constructed using the sample standard deviation, say CI-1.
We then construct a confidence interval with the same numerical values of sample mean, standard deviation, and sample size, but this time assuming the population standard deviation is known, say CI-2.
When population std dev is known we use std error =
For sample std deviation s, we use std error =
When s= sigma, there will not be any difference between these two confidence intervals.
So answer is equal.
To solve the problem we must set the equation for the volume and surface area
let x be the side of the square base
and h be the height of the box
so the volume , v = hx^2
and the area, a = x^2 + xh = 56
then solve for the equation of h
x^2 + xh = 56
xh = 56 - x^2
h = 56/x - x
to solve the maximum volume, solve the first derivative of the volume and equate to zero
v = hx^2
v = (56/x - x) x^2
v = 56x - x^3
dv/dx = 56 - 3x^2
0 = 56 - 3x^2
3x^2 = 56
x = 4.32 ft
h = 8.64 ft
Answer:
I keep getting no solution
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−4)=−9+5x+15
(5)(x)+(5)(−4)=−9+5x+15(Distribute)
5x+−20=−9+5x+15
5x−20=(5x)+(−9+15)(Combine Like Terms)
5x−20=5x+6
5x−20=5x+6
Step 2: Subtract 5x from both sides.
5x−20−5x=5x+6−5x
−20=6
Step 3: Add 20 to both sides.
−20+20=6+20
0=26