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Trava [24]
3 years ago
5

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to

the nearest tenth, if necessary.
Mathematics
2 answers:
Wittaler [7]3 years ago
7 0

Answer:

answer is 0.4

Step-by-step explanation:

Ksenya-84 [330]3 years ago
5 0
For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
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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
PLEASE HELP ASAP IM GIVING BRAINLIST TO THE BEST ANSWER!
ehidna [41]

Answer:

E. y - 4 = 6(x+2) is the answer

slope:

m = -8-4/-4+2 = 6

Formula:

y - ys1 = m(x - xs1)

hope this helps!

Step-by-step explanation:

4 0
3 years ago
Please help ^^^^^^^^ <br><br><br> a= 4, 7, 15?<br> b= 7, 15, 4?<br> c= 15, 4, 7?
zysi [14]

Answer:

A is 15, B is 1, and c is 4!

Step-by-step explanation:

This is because 15 (rooted number) would be the main focus, and since the x (normally by the rooted number) doesn't have a label (like 2x, 3x, etc.) it will be one. Then, the 4 (last number) is c (since it is on the outside and is likely the divisor.

Good luck!

3 0
2 years ago
If a = b, then a - c = b - c. This is the ___________________ property of equality.
Fantom [35]

Answer:

communitive

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the answer to 3/8 + 1/2?
kipiarov [429]

Answer:

7/8 or 0.875

Step-by-step explanation:

If you want it in fraction form, it's 7/8. If you want it in decimal form, it's 0.875.

8 0
3 years ago
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