Answer:
She must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
Step-by-step explanation:
We are given that an engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm.
And she considers to be 90% sure of knowing the mean will be within ±0.1 mm.
As we know that the margin of error is given by the following formula;
The margin of error =
Here, = standard deviation = 3.6 mm
n = sample size of components
= level of significance = 1 - 0.90 = 0.10 or 10%
= 0.05 or 5%
Now, the critical value of z at a 5% level of significance in the z table is given to us as 1.645.
So, the margin of error =
0.1 mm =
= 59.22
n = = 3507.0084 ≈ 3507.
Hence, she must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
Prob of picking 9 in 1st turn = 4 / 52
Prob of picking 9 is 2nd turn = 3/51
So Probability for both = 4 * 3 / (52*51)
=1/221
Hey there!:
4r -3 + 6s - 8r - (4s - 6)
*distribute parentheses :
= - ( 4s ) - ( - 6 )
Apply minus - plus rules
- ( - a ) = a ; - ( a ) = - a
= - 4s + 6
4r -3+ 6 s - 8r -4s + 6 =
Group like terms :
=4r - 8r + 6s - 4s -3+6
Add similar elements: 4r - 8r= - 4r
-4r + 6s - 4s- 3+6
6s - 4s = 2s
-4r + 2s - 3 + 6
Add/Subtract the numbers :
-3 + 6 = 3
Therefore:
= 2s +3 - 4r
hope this helps!
Answer: x = 1/2
Step-by-step explanation:
There are 15 students who take Latin, and 10 students who take both.
Therefore:
15+10 =25 total students taking Latin
25students / 50 total students = 1/2
The answer is 1/2.