Answer:
23
Step-by-step explanation:
<h3>Arithmetic sequence:</h3>
In arithmetic sequence, the difference between any consecutive terms is constant and the progression goes either in ascending order or in descending order.
a = first term = 2
a₂ = 5
difference = d = second term - first term
= 5 - 2
d = 3
Formula for finding nth term in arithmetic sequence:
t₈ = 2 + (8 -1) * 3
= 2 + 7 *3
= 2 + 21
t₈ = 23
Answer:
700
Step-by-step explanation:
Let x be the smaller amount and y be the larger amount.
Then,
equation a-----x=y-200
equation b----x/y=5/7
Replace the value of x from equation a in equation b
=>(y-200)/y=5/7
=>7y-1400=5y
y=700
Answer:
Step-by-step explanation:
For this case we have the following distributions given:
The expected value for x is
And the variance
The expected value for x is
And the variance
We define a new random variable:
We need to find the expectd value and the variance for W.
For the expected value we have this:
And if we replace the parameters we got:
Now foe tha variance of W we know that X and Y are indpenendet variable so then
For this case we can use the property that is a is a constant and X a random variable then , and we got this:
And if we replace we got:
2y+18=42
2y=24
y=12
Hope this helps!
Answer:
When you multiply or divide both sides of an inequality by a negative number, the inequality reverses.
For example 1 < 2, but -1 > -2 (-2 is to the left of -1)
Step-by-step explanation: