Answer:
The standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Step-by-step explanation:
The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation
σₓ = σ/(√n)
n = sample size = 100
σₓ = σ/(√100)
σₓ = (σ/10) = 0.1σ
Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)
11z/16+7z/8=5/16
(11z+14z)/16=5/16
25z=5
z=5/25=1/5
we know that
If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation
we have the equation

Let's verify all the cases to determine the solution to the problem.
<u>case A)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case B)</u> point 
Substitute the values of x and y in the equation



-------> is true
therefore
The point
is a solution of the equation
<u>case C)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
<u>case D)</u> point 
Substitute the values of x and y in the equation



-------> is not true
therefore
The point
is not a solution of the equation
therefore
<u>the answer is </u>


Answer:
1/26=4/104
Step-by-step explanation:
The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.
And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.
Multiply them together, and you will get 4/104 = 1/26
There is a 1/26 chance of pulling out a diamond card, then a jack.