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dsp73
4 years ago
13

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

, or hat) and 3 colors (purple, blue, or orange).
If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?
Mathematics
2 answers:
tiny-mole [99]4 years ago
5 0

4 items of clothing x 3 colors = 12 possibilties

shirt (p, b, or o)

pants (p, b or o)

socks (p, b, or o)

hat (p, b, or o)     = 12 choices.

An orange hat is one of those 12 choices so the probability is 1/12 or 1 out of 12.

balandron [24]4 years ago
4 0

Answer:

1/12

Step-by-step explanation:

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
3 years ago
The histogram shows the ages of cars sold at a car auction. what percent of the cars was less than 20 years old or more than 40
Alexus [3.1K]
The histogram is attached. Every column shows on the bottom the range of age and on the left the number of cars of that particular age.

In order to find the percentage of cars with less than 20 years or more than 40 years, you have to sum up the numbers of cars in the first two columns from left (age 0-9 and 10-19) and the last two (age 40-49 and 50-59).
The number of cars of requested age is: 3 + 2 + 0 + 3 = 8

Now, you need to calculate the total number of cars (sum the cars of every column): 3 + 2 + 8 + 4 + 0 + 3 = 20

Lastly, you need to calculate the ration between the cars of requested age and the total number of cars, and transform it into a percentage:
8 ÷ 20 = 0.40 = 40%

Therefore, your answer is 40%.


3 0
3 years ago
(I'm Soo Boredd)<br> What is 37 apples divided by 26 time 34.9-8?
Rzqust [24]
41 is the answer and me too
7 0
3 years ago
What does m represent in the equation K = 1/2mv^2?
OleMash [197]

The kinetic energy of an object is the energy that it possesses due to its motion.

E_k = \dfrac 12 mv^2\\\\m=\text{mass(kg)}\\\\v = \text{velocity}~\left(\text{ms}^{-1}\right)\\\\E_k = \text{Kinetic energy(J or Nm)}

7 0
2 years ago
Consider two events such that P(A)=3 / 5, P(B)=4 / 7, and P(A∩B)=12 / 35. Are events A and B independent events?
xxMikexx [17]

Answer:

option D

Yes, they are independent because P(A)×P(B)=P(A∩B)

Step-by-step explanation:

Given in the question,

p(A) = 3/5

p(B) = 4/7

p(A∩B) = 12/35

If two events A and B are independent then,

<h3>P(A n B)= P(A).P(B)</h3>

12/35 = 3/5 . 4/7

12/35 = 12/35

Hence, events A and B independent events

5 0
4 years ago
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