Answer:
f(h(-1)) = -1
Step-by-step explanation:
f(x) = (x-4)/3
h(x) = 3x + 4
f(h(-1)) = ?
So first off we need to solve for h(-1):
h(x) = 3x + 4
h(-1) = 3(-1) + 4
h(-1) = 1
Next, we plug this value into the f(x) equation:
f(x) = (x-4)/3
f(1) = (1-4)/3
f(1) = -1
f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)
Thus we can say that f(h(-1)) is equal to -1
7h + 6b = 35.50
5h + 6b = 30.50
The difference between the 2 totals spent is $5, and there were the same number of burgers, but 2 fewer hotdogs. So $5/2 = $2.50, the cost of a hot dog. Substitute that into the equations to solve for burgers (b)
5(2.50) + 6b = 30.50
12.50 + 6b = 30.50
6b = 18
b = 3
Check the work:
7(2.50) + 6(3) =
17.50 + 18 = 35.50
F(x) = 16ˣ
A. g(x) = 8(2ˣ)
g(x) = (2³)(2ˣ)
g(x) = 2ˣ⁺³
The answer is not A.
B. g(x) = 4096(16ˣ⁻³)
g(x) = (16³)(16ˣ⁻³)
g(x) = 16ˣ
The answer is B.
C. g(x) = 4(4ˣ)
g(x) = 4ˣ⁺¹
The answer is not C.
D. g(x) = 0.0625(16ˣ⁺¹)
g(x) = (16⁻¹)(16ˣ⁺¹)
g(x) = 16ˣ
The answer is D.
E. g(x) = 32(16ˣ⁻²)
g(x) = (2⁵)(2⁴ˣ⁻⁸)
g(x) = 2(⁴ˣ⁻³)
The answer is not E.
F. g(x) = 2(8ˣ)
g(x) = 2(2³ˣ)
g(x) = 2³ˣ⁺¹
The answer is not F.
The answer is B and D.
Answer:
1.76% probability that in one hour more than 5 clients arrive
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.
This means that 
What is the probability that in one hour more than 5 clients arrive
Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So
We want P(X > 5). So
In which
1.76% probability that in one hour more than 5 clients arrive
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
