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4 years ago

You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing

Mathematics

1 answer:

Zielflug [23.3K]4 years ago

7 0

1 / 12 is the probability that you'll end up with an orange hat.

<u>Step-by-step explanation:</u>

Given that,

There are 4 piece of clothing ⇒ shirt, pants, socks, or hat
There are 3 possible colors ⇒ purple, blue, or orange

<u>To find the total number of outcome :</u>

Total outcomes ⇒ (number of clothes) × (number of colors)

⇒ 4 × 3 = 12

Therefore, there will be 12 different possibilities.

<u>The 12 different outcomes are :</u>

⇒ Purple shirt, blue shirt, orange shirt

⇒ Purple pants, blue pants, orange pants

⇒ Purple socks, blue socks, orange socks

⇒ Purple hat, blue hat, and orange hat.

Now, the probability that you'll end up with an orange hat if you choose on random of 12 possibilities ⇒ No.of orange hats / Total no.of outcomes.

∴ P(orange hat) = 1 / 12

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when the length of a rectangle is 5 and the width of it is x - 2 what are two expression to represent the perimeter

Jet001 [13]

Answer:Perimeter=5*2+2*(x-2)

Step-by-step explanation:

Because perimeter =2*length+2*width

3 0

4 years ago

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Jasmine is designing boxes she will use to ship her jewelry. She wants to shape the box like a regular polygon. In order for the

Naddik [55]

Answer:

The regular polygon that she should use is an equilateral triangle

Step-by-step explanation:

The parameters given are;

Interior angles = 0.5 × Exterior angles

Exterior angles of a regular polygon = 360/n

Sum of interior angles of a regular polygon = (n - 2) × 180

Where n = the number of sides

Therefore, the sum of exterior angles of a regular polygon = 360°

Hence we have;

(n - 2) × 180 = 360/2 = 180

n - 2 = 180/180 = 1

n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle

Therefore, the regular polygon that she should use is an equilateral triangle

3 0

4 years ago

State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations. 5X=59

Zigmanuir [339]

The value of x in the equation is 59/5

<h3>How to solve for x?</h3>

The equation is given as:

5x = 59

Divide both sides by 5

x = 59/5

This means that the value of x in the equation is 59/5

To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59