Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?
is the probability of the first sprinkler being triggered and activated. So:
is the probability of the second sprinkler being triggered and activated. So:
There is an 85% probability that the sprinkler head will be activated.
Answer:
x=16
Step-by-step explanation:
7x−2(3x−5)=26
Use the distributive property to multiply −2 by 3x−5.
7x−6x+10=26
Combine 7x and −6x to get x.
x+10=26
Subtract 10 from both sides.
x=26−10
Subtract 10 from 26 to get 16.
x=16
Graph if needed:
You would add $8.25 + $5.50, which equals $13.75. Then you would divide that number by the number of employees currently working at the fast food restaurant; $13.75 / 2 = $6.875. So, $6.88 would be the new mean salary of the employees.
(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
= y
Answer for (a): 
= (b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b): 
= 
(c)
replace all t's in the
equation with
=
=
=
=
Answer for (c): 
= 
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y
= y
Answer for (e): inverse of h(g(t)) =
i think that it is the third one
