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3 years ago

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A standard number cube is tossed. Find the following probability. P(greater than 4 or odd)

2 answers:

lorasvet [3.4K]3 years ago

8 0

A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6

But we want to find 4+
So:
4+ = 4, 5, 6

We also want to find all odd possibilities.
So:
odd = 1, 3, 5

As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6

So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%

Hope I helped!

Archy [21]3 years ago

5 0

Answer:

Step-by-step explanation:

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Factor this polynomial completely.<br> x2 - 49

insens350 [35]

Answer:

(x + 7)(x - 7)

Step-by-step explanation:

The square root of x is just x. The square root of 49 is positive and negative 7.

If this answer is correct, please make me Brainliest!

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3 years ago

2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if

Darina [25.2K]

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

About 30% of frozen chickens are contaminated, hence $p = 0.3$ .

Chickens are delivered to grocery stores in crates of 24, hence $n = 24$ .

The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

$P(X > 4) = 1 - P(X \leq 4)$

In which:

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

Then

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

$P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002$

$P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020$

$P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097$

$P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305$

$P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687$

Hence

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111$

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

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2 years ago

A theater has three eight four seats each row has 16 seats how many rows of seats are there

Fantom [35]

Answer:

24 rows

Step-by-step explanation:

348 divided by 16 is 24. Hope this helps!

6 0

3 years ago

Read 2 more answers

On one of the day you went to the gym, the ratio of men to women was 3 : 2.

balu736 [363]

Answer

Find out the how many women were there .

To prove

Let us assume that the x is the scalar multiple of men and women.

As given

The ratio of men to women was 3 : 2.

Than

The total number of men = 3x

The total number of women = 2x

As given

If 120 men used the gym.

thus

120 = 3x

$x = \frac{120}{3}$

x = 40

The total number of women = 2 × 40

= 80

Therefore 80 women were there in the gym .

5 0

3 years ago

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Am I right vote you brainiest

ryzh [129]

Answer:

false

Step-by-step explanation:

6 0

3 years ago