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Fantom [35]
3 years ago
11

You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a number greate

r than 8 and then picking a 9?
Simplify your answer and write it as a fraction or whole number.
Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

1/9 both times

Step-by-step explanation:

You might be interested in
the ages of three siblings are all consecutive integers the sum of their ages is 39 how old is the youngest sibling variable equ
Verdich [7]

Answer:

Step-by-step explanation:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

8 0
2 years ago
Pls help will give brainliest and 5star plss help
Ugo [173]

Answer:

14. 2384 in²

15. 291.8 in²

Step-by-step explanation:

14. The total surface area consists of the area of two equal triangles and three rectangles.

The area of each triangle is \frac{1}{2} bh, which is \frac{1}{2}(24)(14)=168 in². The area of both triangles combined is 336 in².

The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².

The area of the base rectangle is 14x32=448 in².

Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².

15. The equation for the surface area of a cylinder is 2\pi r^{2} +2\pi rh.

The radius (r) is 4.6 in and the height (h) is 9.1 in.

Therefore, the surface area is:

2\pi (4.6)+2\pi (4.6)(9.1)=28.888+262.88=291.8\\ in²

5 0
2 years ago
Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If 7 adult smartphone
nlexa [21]

Answer:

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smarthphone in meetings or classes, or they do not. The probability of an adult using their smartphone on meetings or classes is independent of other adults. So we use the binomial probability distribution to solve this question.

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.

63% use them in meetings or classes.

This means that p = 0.63

7 adult smartphone users are randomly selected

This means that n = 7

Find the probability that exactly 2 of them use their smartphones in meetings or classes.

This is P(X = 2).

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

P(X = 2) = C_{7,2}.(0.63)^{2}.(0.37)^{5} = 0.0578

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

8 0
2 years ago
Find the distance between the points (5,0) and (-5,3)
oksano4ka [1.4K]

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

4 0
2 years ago
Identify whether the given value is a statistic or parameter:
SVETLANKA909090 [29]

Answer:

The value is a statistic, since it is from a sample.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

In this question:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

The value is from a sample, so it is a statistic.

4 0
3 years ago
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