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Hitman42 [59]
3 years ago
7

In your sock drawer you have 4 blue, 5 gray, and 3 black socks. half asleep one morning you grab 2 socks at random and put them

on. find the probability you end up wearing
Mathematics
1 answer:
Scilla [17]3 years ago
5 0
This is a matter of probability and statistics. Probability is the study of calculating the chances or likelihood of an event occurring out of the total number of events. This likelihood is always presented as part of a whole. It could be in fractions or percentages.

For this problem, you have to designate the color of sock you end up wearing. I think your forgot to complete your question. In that case, let's just assume that you want to know the probability that you end up wearing two blue socks. You should not that in probability, when you are asked to find the probability of event A 'AND' event B happening, then you multiply their probabilities. In this case, the probability is

4/12 × 3/11

The first terms represents 4 blue socks out of 12 total socks. After that first random choice, your total socks would now be 11. Because you 'consumed' your original pool of choices, the next probability would change basing on the new pool of eliminated choices.

So, the total probability is 1/11 or 9.09%.
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A collector's model race car is scaled so that 1 inch on the model equals 6 1/4 feet on the actual car. If the model is 2/3 inch
Alchen [17]
The hight of the real car is 4 1/6 ft.
7 0
3 years ago
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part
nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

4 0
3 years ago
Which values are solutions to the inequality below ×&lt;9​
iragen [17]

Answer: theres not a picture soo idk

Step-by-step explanation:

5 0
3 years ago
4x - Зу = -3<br> 4x + y = 17<br> Explain how as well
Jobisdone [24]

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

4x+y=17;4x−3y=−3

Step: Solve4x+y=17for y:

4x+y+−4x=17+−4x(Add -4x to both sides)

y=−4x+17

Step: Substitute−4x+17foryin4x−3y=−3:

4x−3y=−3

4x−3(−4x+17)=−3

16x−51=−3(Simplify both sides of the equation)

16x−51+51=−3+51(Add 51 to both sides)

16x=48

16/x = 48/16

(Divide both sides by 16)

x=3

Step: Substitute 3 for x in y=−4x+17:

y=−4x+17

y=(−4)(3)+17

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

6 0
3 years ago
W6+58=-138!! what is x PLEASE
mote1985 [20]

Answer:

the answer is -196 im sorry if i got it wrong

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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