Answer and Step-by-step explanation:
The computation is shown below:
Let us assume that
Spam Email be S
And, test spam positive be T
Given that
P(S) = 0.3


Now based on the above information, the probabilities are as follows
i. P(Spam Email) is
= P(S)
= 0.3

= 1 - 0.3
= 0.7
ii. 


= 0.8906
iii. 


= 0.0221
We simply applied the above formulas so that the each part could come
Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that
is a variable number between -1 and 1 (inclusive).
This means that
.
for all value
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

By squeeze theorem, if 
and
, then we can also conclude that
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at
.

.
We can finally conclude that
by squeeze theorem.
Some people call this sandwich theorem.
Answer: You need a grade of 78 on the final exam to earn a final grade average of at least 87 in each grading system.
Step-by-step explanation:
(85 + 90 + 95 + x)÷ 4 =87
Simplify:
(270 + x) ÷ 4 = 87
Rearrange:
(x + 270) ÷ 4 = 87
Multiply terms to Reduce:
4((x + 270) ÷ 4) = 4 * 87
Cancel Multiplied terms in Denominator:
x + 270 = 4 * 87
Multiply:
x + 270 = 348
Subtract 270 on both sides of the equation:
x + 270 - 270 = 348 - 270
Simplify:
x = 78
Answer:
85,910
You get this because whenever there are three digits after a number you add a comma as seen in the number there are three digits after 85 so you add a comma.
Hope it helps bai!