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kkurt [141]
2 years ago
9

Micheal has a set of 5 cards shown below. Micheal wil randomly select a card, not replace it, then select another card. What is

the probibality That he selects a prime number and then a 1?
Mathematics
1 answer:
strojnjashka [21]2 years ago
4 0

Answer:

3/20 or 15%

Step-by-step explanation:

Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.

To find the probability you need to multiply the two probabilities together.

3/5 times 1/4 is 3/20.

So your answer is 3/20 or 15%.

You might be interested in
How many times greater is 9*10^10 than 3*10^8
vladimir2022 [97]

Answer:

9*10^10/ 3*10^8 = 300

Step-by-step explanation:

6 0
2 years ago
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in
andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0
3 years ago
Solve the equation <br><br> 5 | 2-3x |= 7x + 2
igor_vitrenko [27]

Answer:

Check the ppicture i sent you i think it would help

5 0
2 years ago
A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng
Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0
2 years ago
Michael and Imani go out to eat for lunch.
Wittaler [7]
Part A= $27.32
Part B= $32.24
8 0
3 years ago
Read 2 more answers
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