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tia_tia [17]
3 years ago
11

A pyramid shaped building is 873 ft tall with a square base that is 147 ft on each side. What is the volume of the​ pyramid?

Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

Answer:

V=6.28\times 10^6\ cm^3

Step-by-step explanation:

We have,

Height of pyramid shaped building, h = 873 ft

This pyramid consists of a square base that is 147 ft on each side.

It is required to find the volume of the​ pyramid. When the base of pyramid is square, its volume is given by :

V=\dfrac{1}{3}Bh\\

B is area of base, B=147\times 147=21609\ ft^2

i.e.

V=\dfrac{1}{3}\times 21609\times 873\\\\V=6288219\ ft^3

or

V=6.28\times 10^6\ cm^3

So, the volume of the pyramid is 6.28\times 10^6\ cm^3.

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A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

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2 years ago
Please help with the questions in the image
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Step-by-step explanation:

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3 years ago
The median starting salary for new law school graduates is determined by
Elena-2011 [213]

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066  x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

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3 years ago
Complete the tables of values.
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Answer:

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