Answer:
1. 4 or -4
2. 2 or -2
3. 5 or -1
4. 2
5. -2
6. 1 or 2
Step-by-step explanation:
Absolute values make the answer a positive value. So in the first one to make |x|=4, x can be either 4 or -4 because the lines around x tell you to remove the negative sign. Does this make sense? So for the answers, find the values for x that make the answer the value wanted, and then find the negative of the value wanted. For example, in |5x|=10, 5(2)=10 and 5(-2)=-10. But with absolute value signs, it changes it from -10 to 10. Hope this helps, if you have any questions please let me know.
Answer:
c
Step-by-step explanation:
hope this help!
have a good day :)
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We should first calculate the average number of checks he wrote
per day. To do that, divide 169 by 365 (the number of days in a year) and you get (rounded) 0.463. This will be λ in our Poisson distribution. Our formula is

. We want to evaluate this formula for X≥1, so first we must evaluate our case at k=0.

To find P(X≥1), we find 1-P(X<1). Since the author cannot write a negative number of checks, this means we are finding 1-P(X=0). Therefore we have 1-0.3706=0.6294.
There is a 63% chance that the author will write a check on any given day in the year.<em />
Answer:
Cos(θ) = 8 / 17
Step-by-step explanation:
<em>Cos = Adjacent / Hypotenuse</em>
Side that is adjacent to θ = 8
hypotenuse of the triangle = 17
<u>Cos(θ) = 8 / 17</u>
Hope this helps!