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3 years ago

Could someone please answer these questions with simple yet explanatory answers?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

12. To find the area of a triangular prism use the formulas for a prism and for a triangle. To find area of the triangle, do 1/2base*height. 1/2(8*6)=24 Now multiply by the length of the prism to find the volume. 24*3=72. 13. 150/ (7*8) = 2.68 14. 1/2x^3

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Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles

brilliants [131]

Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.

8 0

2 years ago

Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the c

lilavasa [31]

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

$P(A) = 0.35*0.96 + 0.6*0.04 = 0.36$

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

$P(A \cap B) = 0.6*0.04 = 0.024$

Probability that the shares of a company that fires its CEO will increase by more than 5%.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667$

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

5 0

2 years ago

(-2)^3 * x^4 (yz)^2 / 3^2 *xy^3 * z<br><br><br> simplify this expression

asambeis [7]

I would say - 8x^3z / 9y

3 0

3 years ago

A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you

siniylev [52]

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

7 0

2 years ago

Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.

anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

Calculate hypotenuse

c² = a² + b²

c² = 1.072² + 1²

c² = 2.149

hypotenuse = c = 1.466

First quadrangle

sin Ф = 1.072 / 1.466 = 0.731

cos Ф = 1 / 1.466 = 0.682

Third quadrangle

sin Ф = -1.072 / 1.466 = -0.731

cos Ф = -1 / 1.466 = -0.682

5 0

2 years ago