This table shows the numbers of trucks and spare tires sold by an automobile company. The ratio of the number of trucks sold to
the number of tires sold is constant in each column.
1 answer:
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Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :
⇒ 2 no. of people work for four hours per shift .
The function f be described by 
The graph of this function, is the graph of the parent function
, which is the parabola with vertex at (0, 0) which opes upwards:
i) reflected with respect to the y-axis, because of the minus
ii) shifted 100 units up
check the picture attached.
A function has an inverse only if it is decreasing or increasing.
So we must divide the following cases for which the inverses exist:
i) with domain (-infinity, 0]
ii) with domain [0, infinity)
To find the formula for the inverse function g of f, we use the property:
f(g(x))=x
thus,
![f(g(x))=x\\\\ 100-[g(x)]^2=x\\\\g^2(x)=100-x\\\\g(x)= \mp\sqrt{100-x}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3Dx%5C%5C%5C%5C%20100-%5Bg%28x%29%5D%5E2%3Dx%5C%5C%5C%5Cg%5E2%28x%29%3D100-x%5C%5C%5C%5Cg%28x%29%3D%20%5Cmp%5Csqrt%7B100-x%7D%20)
so each of - and + cases, are the inverses of
i) with domain (-infinity, 0]
ii) with domain [0, infinity)
At this point, recall that the domain of a function, is the range of it's inverse function,
and the range of the function, is the domain of the inverse function.
thus,
the range of
, which is [0,infinity) is the domain of
i) with domain [0,infinity)
So our answer is:
inverse of i) with domain (-infinity, 0] is 
and the inverse of ii) with domain [0, infinity) is
The graph of this function, is the graph of the parent function
i) reflected with respect to the y-axis, because of the minus
ii) shifted 100 units up
check the picture attached.
A function has an inverse only if it is decreasing or increasing.
So we must divide the following cases for which the inverses exist:
i)
ii)
To find the formula for the inverse function g of f, we use the property:
f(g(x))=x
thus,
so each of - and + cases, are the inverses of
i)
ii)
At this point, recall that the domain of a function, is the range of it's inverse function,
and the range of the function, is the domain of the inverse function.
thus,
the range of
i)
So our answer is:
inverse of i)
and the inverse of ii)
Answer:
Markdown is known as the change from the base price to the final price
Step-by-step explanation:
Look at the attached picture.
Markdown is known as the change from the base price to the final price. By definition, the markdown price is a reduction of the price to encourage people to buy the product. Thus, this integer is equivalent to -$1,100.00. The negative sign is essential to signify that there is a reduction to the price.
