World Toy buys bicycles for $40 and sells them for $95. What is the percent mark-up in the price?

If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the p

Stells [14]

Answer:

93% probability of a student taking a calculus class or a statistics class

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student takes calculus but not statistics and $A \cap B$ is the probability that a student takes both these classes.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability of taking a calculus class and a statistics class is 0.07

This means that $A \cap B = 0.07$

The probability of taking a statistics class is 0.90

This means that $B = 0.9$ . So

$B = b + (A \cap B)$

$0.9 = b + 0.07$

$b = 0.83$

The probability of a student taking a calculus class is 0.10

This means that $A = 0.1$

$A = a + (A \cap B)$

$0.1 = a + 0.07$

$a = 0.03$

What is the probability of a student taking a calculus class or a statistics class

$A \cup B = a + b + A \cap B = 0.03 + 0.83 + 0.07 = 0.93$

93% probability of a student taking a calculus class or a statistics class

5 0

3 years ago

A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 2 plum

kari74 [83]

Answer:

Step-by-step explanation:

Given

there are 13 symbols in slot machines i.e. 1 bar , 2 lemons , 2 bells ,2 plums ,3 cherries , 3 oranges

there are Total of 3 machines

Probability of getting bar in machine is $\frac{1}{13}$

Probability of getting 3 bar on 3 machine $=\frac{1}{13} \times\frac{1}{13}\times \frac{1}{13}=\frac{1}{2197}=0.0004$

Probability of getting an orange $=\frac{3}{13}$

Probability of getting 3 oranges on 3 machine $=\frac{3}{13} \times\frac{3}{13}\times \frac{3}{13}=\frac{27}{2197}=0.0122$

Probability of getting a Plum $=\frac{2}{13}$

Probability of getting 3 Plums on 3 machine $=\frac{2}{13} \times\frac{2}{13}\times \frac{2}{13}=\frac{8}{2197}=0.0036$

5 0

2 years ago

Jason started with 12 1/2 pounds of concrete to set fence post. He used 4 1/6 pounds for the center post abd 3 1/3 pounds for th

Kruka [31]

He has 5 pounds left

7 0

2 years ago

An adult and 5 children rent a skates. it costs $4 per adult for skates and a total of $16

Elenna [48]

Answer:

$2.20 per child

Step-by-step explanation:

16-4=11

11/5=2.2

3 0

3 years ago

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r

antoniya [11.8K]

The function is $h(t) = -16t^2 + 80t + 224$ , and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

$h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224$ (ft), which is the initial height, as expected.

At t=1 (sec), the height would be $h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288$ .

etc.

The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.

Answer: B) 7 sec

6 0

2 years ago

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