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3 years ago

Given P(A and B) = 0.19, P(A) = 0.75, what is P(B|A)?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer:

0.253

Step-by-step explanation:

By the definition of conditional probability ...

P(B|A) = P(A&B)/P(A) = 0.19/0.75 ≈ 0.25333

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What are the surface area and volume of a spherical barrel cactus with a radius of 5 inches?

tino4ka555 [31]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r = 5 \end{cases}\implies SA=4\pi (5)^2 \\\\\\ SA=100\pi\implies SA\approx 314.16 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad V=\cfrac{4\pi (5)^3}{3}\implies V=\cfrac{500\pi }{3}\implies V\approx 523.60$

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3 years ago

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

Katarina [22]

Answer:

$2x+178\geq 2000$

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. $x+(x+178)\geq 2000$

i.e. $2x+178\geq 2000$

Thus, the required inequality is $2x+178\geq 2000$ .

4 0

3 years ago

One gallon is 3.8 litres. How many litres will you need for 675 square ft? Show your work!

vazorg [7]

Answer:

2565 square ft

Step-by-step explanation:

675 x 3.8 = 2565 square feet

6 0

4 years ago

2 cm<br>2cm<br>1 cm<br>surface area

Effectus [21]

Answer:

5 cm

Step-by-step explanation:

8 0

3 years ago

What is closest to the total length of sex cars?

maks197457 [2]

Answer:

D) 32.5 ft

Step-by-step explanation:

Here we have to use the trigonometric ratio.

We need to find the length of the hypotenuse.

We use sin ratio.

Sin 38 = Opposite / Hypotenuse

Here opposite = 20, Hypotenuse = Length of the six cars

sin 38 = 20 / length of the six cars

The length of six cars = 20 / sin 38

The length of the six cars = 32.48

Which is closest to 32.5 ft

Thank you.

3 0

4 years ago

Read 2 more answers