A ceiling fan has 20
-inch blades (so the radius of the circular fan is
20
inches). Suppose the linear speed of the tip of a blade is
10
feet per second.

Answers

Answer 1

Answer:
OK. Got it ! So the fan is spinning at about 57.296 revolutions per minute.

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What two numbers multiply to 108 and add to -39?
Solve: 6 yd. 9 ft. 4 in. × 2 =
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5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?

The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

Answers

0.0055*0.03+0.9945*0.01

because 0.55% people are infected and inaccuracy of the test is 3%
and rest 99.45% people are not infected and the inaccuracy of the test is 1%

0.03 and 0.01 are the probability of an error being made in infected and uninfected respectively.

0.01011 is the probability that a randomly chosen person gets an incorrect result.

Answer:

The required probability is 0.01011

Step-by-step explanation:

The test to detect the presence of hepatitis B is 97% accurate

Probability of presence and true = 0.97

Probability of presence and false = 0.03

The test to detect the absence of hepatitis B is 99% accurate

Probability of absence and true = 0.99

Probability of absence and false = 0.01

Probability of infected = 0.55% = 0.0055

Probability of not infected = 1 - 0.0055 = 0.9945

Probability to have an incorrect result : P(infected) and P(presence and false) + P(not infected) and P(absence and false)

= 0.0055 × 0.03 + 0.9945 × 0.01

= 0.01011

Hence, The required probability is 0.01011

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Answers

Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

Therefore the unknown solution is 36% acid.

Step-by-step explanation:

True or False: For the depreciation formula, A = C(1 - r)t, the A value will always be greater than the C value.

Answers

Answer: False

"Depreciating" means "going down", so the value is decreasing. The value of A will always be smaller than C. For example, if the item is worth $100 today and it drops to $80, then it depreciates in value. In this example, C = 100 and A = 80 so A > C is false

Tyler also wants to paint the walls of his home. He buys 6 packages of paint rollers, each of which contains 6 paint rollers. How many paint rollers are there in all? Write your answer as an exponential expression.

Answers

In the given statement, there are 6 packages of paint rollers wherein there are 6 paint rollers in each of the packages. This could be best express in exponential expression as 6 squared. This will then give us 36 paint rollers.

3. What is the solu3. What is the solution of system?Y = 5x + 4
Y = 5x – 3
A) No solutions
B) (0,4)
C) Infinitely many solutions
D) (0,-3)
tion of system?
Y = 5x + 4
Y = 5x – 3
A) No solutions
B) (0,4)
C) Infinitely many solutions
D) (0,-3)