At the museum cafe the answer is
Answer and Step-by-step explanation:
a)
expected value for the difference in sample means=3.5-3.2=0.3
b)
standard deviation of the sampling distribution of the difference in sample means
=sqrt((0.5^2/40)+(0.8^2/40))
=0.1492
c)
z=(0.3-0)/0.1492
z=2.01
P(z>2.01)=0.0222
<h3>
Answer: D. 72</h3>
Work Shown:
Angle PQR = (far arc - near arc)/2
Angle PQR = ( (major arc PR) - (minor arc PR) )/2
Angle PQR = ( (2x+252) - (2x+108) )/2
Angle PQR = 144/2
Angle PQR = 72
Notice how we didn't need to find the value of x at all.
Answer:
C) 1050π cm²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
radius, r = 3.5cm
Height, h = 4 cm
Surface area of a cylinder = 2πrh + 2πr²
= 2 * π * 3.5 * 4 + 2 * π * 3.5²
= 28π + 2π * 12.25
= 28π + 24.5π
= 52.5π cm²
Surface area of a cylinder = 52.5π cm
There are 20 bars of soap
Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20
= 52.5π cm² × 20
= 1,050π cm²
