Answer:
a) 
And if we solve for 
we got:
b) False
The reason is because we don't satisfy the following relationship:
We have that:
c) False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
Step-by-step explanation:
For this case we have the following probabilities given:
Part a
We want to calculate the following probability:
And we can use the total probability rule given by:
And if we solve for we got:
Part b
False
The reason is because we don't satisfy the following relationship:
We have that:
Part c
False
In order to satisfy independence we need to have the following condition:
And for this case we don't satisfy this relation since:
So what do you need us to do for you?
Answer:
c) 31
Step-by-step explanation:
Given: f(x) = 3x + 1
We are being asked to find the function's value for x = 10.
Substitute 10 as the value of x in the function:
⇒ f(x) = 3x + 1
⇒ f(10) = 3(10) + 1
⇒ f(10) = 30 + 1
⇒ f(10) = 31
Therefore, the function's value at x = 10 is 31.
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Answer:
25
Explanation:
In order to solve this the easiest way you can use equivalent fractions.
Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.
25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.
So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.
And now we can solve it like a normal algebra problem.
Either way, we get 25.
