-5 1/4- [7 1/2] fractions btw

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx

Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0

3 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$