-14a-5=-12
+5 +5
-14a=-7
Divide -7 by -14a
a=2
Multiply his AGI by 7.5% to find the amount medical needs to meet before deducting:
46,000 x 0.075 = $3,450
He can deduct any amount over $3450.
Subtract that from his medical total to find the amount he can deduct:
5800 - 3450 = 2350
He can deduct $2,350.
Answer: c
Step-by-step explanation:
Answer:
Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.
Step-by-step explanation:
Consider the provided information.
Part (a)
In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.
Now, observing the table it can be concluded that the value of Z is 0.10396.
Part (b)
Consider the number 65.91%
The above number can be written as 0.6591.
Now, find 0.6591 in the table and search for the appropriate Z-value.
By, observing the table it can be concluded that the value of Z is 0.410008.
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,

Compute the value of P (<em>X ∩ Y</em>) as follows:

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.