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ddd [48]
3 years ago
9

Question 2 of 5

Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Gnoma [55]

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

5 0
2 years ago
Read 2 more answers
There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the
Kisachek [45]

Let B_i denote the value on the i-th drawn ball. We want to find the expectation of S=B_1+B_2+B_3+B_4+B_5, which by linearity of expectation is

E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]

(which is true regardless of whether the X_i are independent!)

At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

P(X_i=x)=\begin{cases}\frac1{10}&\text{for }x\in\{1,2,\ldots,10\}\\0&\text{otherwise}\end{cases}

and so

E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5

Then the expected value of the total is

E[S]=5(5.5)=\boxed{27.5}

8 0
2 years ago
Which ratio correctly compares 150 mm to 60 cm?
deff fn [24]
1 to 4
150mm is the same as 15cm
15cm:60cm
both divisible by 15
1cm:4cm

1 to 4
6 0
3 years ago
A carpenter is building a unique jewelry box in the shape of a right triangular prism. The base has measurements of 4 inches, 3
BlackZzzverrR [31]
Answer: The carpenter will need 84 square inches of wood.

In this problem we are looking for the surface area of the jewelry box. This box has 5 faces. The two triangles at each end and the 3 rectangle pieces between them.

The sides of the triangles are 3, 4, 5 which always forms a right triangle with legs of 3 and 4. Use the formula for the area of a triangle, we have 3 x 4 / 2 = 6. The area of each triangle is 6 square inches.

Now, the three sides, each one has a height of 6.
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30

If we add all the sides together, we get an area of 84 square inches.
6 + 6 + 18 + 24 + 30 = 84
7 0
3 years ago
Find the nth term of 4,11,18,25...
rjkz [21]
<span>nth term = 7n - 3
n = 1,2,3,4....</span>
6 0
3 years ago
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