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velikii [3]
1 year ago
13

If you select one card at random from a standard deck of 52 cards, what is the probability that the card is a king AND a spade?

Mathematics
1 answer:
ExtremeBDS [4]1 year ago
7 0

Given:

There are 52 cards.

So, n(s)=52

To find the probability that the card is a king and a spade:

Let A be an event of choosing a card that is king and a spade.

So, n(A)=1

Hence, the probability that the card is a king and a spade is,

\frac{1}{52}

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A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf
nikdorinn [45]

Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

          = 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

7 0
3 years ago
A store is located 10 miles from my house, it takes the average female 20 minutes to talk from the store back to her house. Why
grin007 [14]

Answer:

Because she may have been abducted by aliens and there time way is way slower than ours so 20 mins for them is like 15 years for ua, ao you should have her back in 3 years. Lemme get brainliest too

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Artyom0805 [142]

Answer:

12

Step-by-step explanation:

Use the pythagorean theorem (a^2+b^2=c^2). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c

a^2+b^2=c^2

5^2+b^2=13^2

25+b^2=169

b^2=144

b=12

6 0
3 years ago
Read 2 more answers
What is 250/100 as a whole number?
Tpy6a [65]

Answer:

Unless im being completely braindead right now there isn't a whole number that works with this. When simplified its 5/2 or 2.5 but because it isn't an actual whole number (like 2, 4 and 6) they don't count.

7 0
2 years ago
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What is the missing constant term in the perfect square that starts with x 2 − 16 x
OlgaM077 [116]

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

7 0
3 years ago
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