D is answer.
Perimeter is 2x +3x +2x + 3x = 10x where x is unknown factor of distance.
So P = 10x
Velocity is 12 km/hr = .2 km/min
P =1.6 Km = 10x
x= .16 Km 3x = .48 km, 2x=.32 km
Area = .48 X .32 Km^2
= 153600 m^2
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is 
The standard deviation is 
The z-score is z = -1.94
The null hypothesis is 
The alternative hypothesis is 
Generally the p-value is mathematically evaluated as
From the z table the area under the normal curve to the left corresponding to -1.94 is
=> 
=> 
Let assume the level of significance is 
Hence the 
this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:
3 * 15 = 45 footlong hotdogs
Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
20
Step-by-step explanation:
The lower quartile Q₁ is the value at the left side of the box, that is
Q₁ = 20
