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liubo4ka [24]
2 years ago
10

Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is random

ly selected. What is the probability of selecting two prime numbers?
Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Alex_Xolod [135]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.

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Answer:

12-17

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2 years ago
How many solutions does the equation have? a+5=1/5(5a+25)
Iteru [2.4K]
A + 5 = \frac{1}{5} (5a + 25)

First, simplify \frac{1}{5} (5a + 25) to \frac{5a+25}{5} / Your problem should look like: a + 5 =  \frac{5a+25}{5}
Second, multiply both sides by 5. / Your problem should look like: 5a + 25 = 5(a + 5)
Third, expand to get rid of parenthesis. / Your problem should look like: 5a + 25 = 5a + 25
Fourth, both sides are equal, resulting it having infinite solutions.

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6 0
3 years ago
A giant tortoise can walk about 1\10 meter per second on land. A cooter turtle can walk about 1\10 meter per second in land. How
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6 0
2 years ago
Read 2 more answers
If Johnny had 8 apples and his friend took 2 how much apples does Johnny have ?
Zanzabum

Answer:

Johnny now has 6 apples

5 0
3 years ago
6. It takes a delivery truck 2 hours to travel 70 km to deliver a new fridge. The truck drives part of
SOVA2 [1]

Answer:

40 km on the highway

30 km on the city roads

Step-by-step explanation:

Let x = highway

Let y = city road

The time formula: time = distance / speed.

1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.

x + y = 70

x/80 + y/20 = 2

2) Solve the system of equations using substitution.

x = 70 - y

---------------

70 - y/80 + y/20 = 2

70 + 3y/80 = 2

y = 30

---------------------------------

x + 30 = 70

x = 70 - 30

x = 40

Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.

8 0
2 years ago
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