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Marina86 [1]
3 years ago
10

A standard number cube is tossed. find p(even or prime).

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
5 0
The correct answer is: P(even or prime) = 5/6

Explanation:

First the P(E) = Probability of Even = 3/6 = 1/2 (because 2,4,6 are even numbers)
P(p) = Probability of Prime = 3/6 = 1/2 (because 2,3,5 are the prime numbers)

Now
P(even AND prime) = 1/6 (because 2 is not only an even number but also the prime number)

Hence
P(even or prime) = P(E) + P(p) - P(even AND prime) = 1/2+1/2 -1/6 = 5/6
frozen [14]3 years ago
5 0

Answer:

p(even or prime) =   \frac{5}{6}.

Step-by-step explanation:

Given : A standard number cube is tossed.

To find : find p(even or prime).

Solution : We have given that a cube is tossed.

Total number of number in a cube = 1,2,3,4,5,6

Even number = 2,4,6.

Prime number = 2 , 3, 5.

Probability of even number = \frac{3}{6} =  \frac{1}{2}.

Probability of prime number = \frac{3}{6} =  \frac{1}{2}.

P(A orB) = P(A)+P(B).

Then,

2 is even as well as prime So

p(even or prime) = P(even) +P(prime) - P(2).

p(even or prime) =   \frac{1}{2} +  \frac{1}{2}-\frac{1}{6}

p(even or prime) =  1- \frac{1}{6}.

p(even or prime) =   \frac{5}{6}.

Therefore, p(even or prime) =   \frac{5}{6}.

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Step-by-step explanation:

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Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

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Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

4 0
3 years ago
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
IRINA_888 [86]

Answer:

94.56

Step-by-step explanation:

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Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his o
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Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

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Friend 2:

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2 years ago
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