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lorasvet [3.4K]
3 years ago
6

If a card is drawn at random from a standard deck of cards, what is the probability that it will be a 10 or a spade?

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:1 out of 52

Step-by-step explanation:

Will there is only one 10 out shades and there are 52 cards I a standard desk of cards so for that it would be one out of fifty-two

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Luden [163]

9514 1404 393

Answer:

  sometimes

Step-by-step explanation:

4 + 7 = 11 . . . not a multiple of 7

28 + 7 = 35 . . . a multiple of 7

If you add a multiple of 4 and a multiple of 7, the sum is <u>sometimes</u> a multiple of 7.

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It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.

5 0
2 years ago
What is 8663.6630002 rounded to the nearest thousandth?
liraira [26]

Answer:

8663.663

<em>I hope this helped! Mark as brainliest please!</em>

4 0
3 years ago
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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
Kun-cha has 150 feet of fencing to make a corral for her horses. The barn will be one side of the partitioned rectangular enclos
Assoli18 [71]
So to graph you problem you should first consider that the one side of the bar is 150feet because it is in the other partitioned of the fence and the function of it would be 150(x) because the barn's area is calculated through it length time width. I hope this will help 
3 0
3 years ago
HELP ME ANSWER THIS PLEASE!!!!! WILL GIVE BRAINLIEST
Alex777 [14]
Black socks on monday - 3/9 or .33%.
white socks on tuesday - 5/9 or .55%

Explanation: Probability of black socks on Monday:
Total pair of socks: 1 + 3 + 5 = 9
Number of black socks on Monday: 3
3/9 = 1/3 (or divide to get a percentage)

Probability of white socks on Tuesday:
Total pair of socks: 9
Number of white socks on Tuesday: 5
5/9
5 0
2 years ago
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