Answer:
The side length required is 15 inch.
Step-by-step explanation:
volume = L*b*h
height = 2 inch
side length = x
The box used is square prisms so, side length = width = x
Now, using the formula for volume:
V = L* b* h
or, 450 = x* x * 2
or, 450 = 2x²
or, 225 = x²
∴ x = 15 inch
So the length required is 15 inch.
Answer: d) 0.238
Step-by-step explanation:
We would assume binomial distribution for the number of men sampled. The formula for binomial distribution is expressed as
P(x =r) = nCr × q^(n - r) × p^r
Where
p represents the probability of success.
q represents the probability of failure.
n represents the number of samples.
From the information given,
n = 10
p = 65% = 65/100 = 0.65
q = 1 - p = 1 - 0.65 = 0.35
The probability that exactly six of them will consider themselves knowledgeable fans is expressed as P(x = 6). It becomes
P(x =6) = 10C6 × 0.35^(10 - 6) × 0.65^6
P(x =6) = 10C6 × 0.35^4 × 0.65^6
P(x =6) = 0.238
Answer:
A. The weekly usage of both coupons is decreasing and approaching a horizontal asymptote as x gets larger.
Step-by-step explanation:
You can see that f(x) is a decreasing exponential function because the base is 0.75, a value less than 1. The horizontal asymptote is 10, the constant added to the exponential term.
Obviously, g(x) is decreasing. If we assume it is an exponential function, we know there is a horizontal asymptote. (Every exponential function has a horizontal asymptote.)
__
If you use your graphing calculator's exponential regression function, you can find a good model for g(x) is ...
g(x) = 950·0.7^x +12
That is, it is an exponential function that decays faster than f(x), but has a higher horizontal asymptote.
_____
Both functions are decreasing and approaching horizontal asymptotes.
Answer:
Quadratic, because the height increases and then decreases.
Step-by-step explanation:
In an exponential function, the graph will either increase or decrease over the entire domain. It does not change direction.
We can see from the table that the heights increase and then decrease; this means it cannot be an exponential function.
A quadratic function has a graph that is u-shaped. It will start out either increasing or decreasing, and then after the maximum or minimum is reached, it changes direction.
We can see from the table that this is what the heights do; this means it is a quadratic function.
<u>Answer:</u>
The range of the amount Veronica makes each hour if she can only work a total of 8 hours is 20 ≤ x ≤ 29.55
<u>Solution:
</u>
Let us assume that Veronica worked x hours
The starting pay is ![\$20](https://tex.z-dn.net/?f=%5C%2420)
Each hour increase is
So the function is ![f(x)=20(1.05)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D20%281.05%29%5E%7Bx%7D)
Now if she works 8 hours, she will earn, ![= 20(1.05)^8](https://tex.z-dn.net/?f=%3D%2020%281.05%29%5E8)
![\Rightarrow 20\times1.477 = 29.55](https://tex.z-dn.net/?f=%5CRightarrow%2020%5Ctimes1.477%20%3D%2029.55)
So, the range will be 20 ≤ x ≤ 29.55