Answer: 61 boys Bc 5 is more of 4 so if there’s 60 girls it’s 61 boys, simple enough
Answer:
Step-by-step explanation:
Ok so if u are shipping boxes in a right rectangular prism u will need to either divide or multiply. if he wants to make each box to be exactly 98 cubic feet then he will need to divide so when u do the u will need to find the first part of the answer then u will divide it by 98 cubic feet :> hope u get what i meant
The rate of change is ur slope.
The table : company p
y/x = 0.4/10 = 0.04
the graph : company s
y/x = 6/100 = 0.06
Company s (the graph) has the greatest rate of change
Answer:
a. P(24)=0.00007
b. P(23)=0.00018
c. There is significant difference between the probability of the rainy days and the probabilities of fire and theft.
The probability of theft would be overestimated by 76% and the probability of fire would be subestimated by 27%.
Step-by-step explanation:
The probabilities of two events ("fire"and "theft") are compared to the probabilities of a certain number of days of rain during July.
The probabilities of "fire"and "theft" are around P=0.0001, and we need to calculate if the probability of exactly 23 and exactly 24 days of rain July have approximately the same probability.
Rain frequencies for the months of July and August were shown to follow a Poisson distribution with a mean of 10 days per month.
The parameter then is:
The probability of k days of rain is:
For 24 days, the probability is:
The probability of 23 days of rain is 27% less than P=0.0001.
For 23 days of rain, the probability is:
The probability of 23 days of rain is 76% more than P=0.0001.
There is significant difference between the probability of the rainy days and the probabilities of fire and theft.
The probability of theft would be overestimated by 76% and the probability of fire would be subestimated by 27%.
The complete question in the attached figure
we know that
Tower B ( lower left)
a) Square Pyramid
V = 1/3 lwh
V = (1/3)(3)(3)(3)
V = (1/3)(3)(9)
V = (1/3)(27)
V = 9 cubic units
b) Rectangular Prism
V = lwh
V = (3)(50)(3)
V = (3)(150)
V = 450 cubic units
tower B volume
Va + Vb
450 + 9
<span>
459 cubic units </span>
Tower E (lower right) a) Cone
V = 1/3 pi r^2 h
V = (1/3)(3.14)(3^2)(3)
V = (1/3)(3.14)(9)(3)
V = (1/3)(3.14)(27)
V = (1/3)(84.78)
V = 28.26 cubic units
b) Cylinder
V = pi r^2 h
V = (3.14)(3^2)(50)
V = (3.14)(9)(50)
V = (3.14)(450)
V = 1,413 cubic units
Tower E Volume
Va + Vb
28.26 + 1,413
1,441.26 cubic units
Tower A (upper left)
a) Hemisphere
Since it is a hemisphere, divide the formula of sphere by 2.
V = (4/3)pi r^3 all over by 2
V = (4/3)(3.14)(3^3) all over by 2
V = 113.04 / 2
V = 56.52 cubic units
b) Cylinder
V = pi r^2 h
V = (3.14)(3^2)(50)
V = (3.14)(9)(50)
V = (3.14)(450)
V = 1,413 cubic units
3rd Tower Volume
Va + Vb
56.52 + 1,413
1,469.52 cubic units Tower D (upper right)
a) Triangular pyramid
V = 1/3(1/2 bh)(H)
where b is base of the triangular base
h is the height of the triangular base
H is the altitude of the pyramid
Since H is unknown, bisect the triangular base then use Pythagorean theorem to find H.
a^2 + b^2 = c^2
let a be the base of the right triangle
b be the H or missing side of the right triangle
c be the hypotenuse of the triangle
(1.5^2) + (b^2) = 3^2
2.25 + b^2 = 9
b^2 = 9 - 2.25
b^2 = 6.75
b = 2.6 units
H = 2.6 units
Substitute:
V = (1/3)[(1/2)(3)(2.6)](3)
V = (1/3)[3.9](3)
V = (1/3)(11.7)
V = 3.9 cubic units
b) Triangular Prism
V = (bh/2) H
V = [(1.5)(2.6)/2](50)
V = (3.9/2)(50)
V = (1.95)(50)
V = 97.5 cubic units
4th Tower Volume
Va + Vb
3.9 + 97.5
101.4 cubic units
Main Castle V = lwh
V = (100)(50)(30)
V = (100)(1500)
V = 150,000 cubic units
<span>
Total Volume </span>
V1 + V2 + V3 + V4 + V5
459 + 1,441.26 + 1,469.52 + 101.4 + 150,000 ------> 153,471.18 cubic units
<span>Therefore,
the answer is the volume of the castle and the towers is </span>
153,471.18 cubic units