Answer: 
Step-by-step explanation:
Let p be the population proportion of adults who were surveyed are current smokers.
Given claim : Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015.
i.e. 
Since the alternative hypothesis takes unequal sign .
Then , the null and alternative hypotheses for this hypothesis test will be :_
Answer:
the volume of the sphere is 507.78981 cm^3
Step-by-step explanation:
The computation of the volume of the sphere is given below:
Given that
The Diameter is 9.9 cm
So, the volume of the sphere is
= 4 ÷ 3 ×π × r^3
= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3
= 4 ÷ 3 × 3.14 × 4.95^3
= 507.78981 cm^3
Here r denotes the radius
And, the radius would be comes by dividing the diameter from 2
Hence, the volume of the sphere is 507.78981 cm^3
Answer:
(Correct to 4 decimal places)
Step-by-step explanation:
The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:
where
Using a calculator,
Every multiples of 10s has a zero... you do know that... right?
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
__
b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
