Answer:
<h3>
If you mean: AC=CE, the answer is: AB = 24</h3>
Step-by-step explanation:
D is the midpoint of CE, then
CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9
So: 5x + 9 = 7x - 1
-9 -9
5x = 7x - 8
-7x -7x
-2x = -8
÷(-2) ÷(-2)
x = 4
AC = CE = 10x + 18 = 40 + 18 = 58
BC = 9x - 2 = 36 - 2= 34
AB = AC - BC = 58 - 34 = 24
Answer: c. t > 82
Step-by-step explanation:
Let t represent the number of tickets that the committee would sell.
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. This means that the revenue that they would generate from selling x tickets is
72 + 4x
The dance will cost $400.
To make profit, revenue must be greater than cost. Therefore, the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is
72 + 4x > 400
4x > 400 - 72
4x > 428
x > 328/4
x > 82
No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get
(x – 1)(x + 1)(3x + 5).
Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event 
and 
are independent, then
. (
is the probability that the outcome of both event and event are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator 
or the prime superscript 
denotes that an event does not happen.
.
.
Since the two events 
and 
, 
and 
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:
.
Answer:
Kim's business earns $10,000 per month.
Kim's non-employee expenses are $3,000 per month.
If Kim wants $2,000 in profit per month, then the maximum amount Kim can spend for employee:
10000 - 3000 - 2000 =5000
If each employee costs $1,000 per month, Kim can recruit 5000/1000 = 5 as the maximum number of employees.
Hope this helps
:)
