y Probability 10 0.10 20 0.25 30 0.05 40 0.30 50 0.20 60 0.10 The probability distribution of y, a discrete random variable, is
2 answers:
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Answer:
$ 929
Step-by-step explanation:
Given: Original price of stay in hotel= $240 per night
Discount= 25%
Total taxes and fee = 29%
Now, finding the price of stay for four night.
Using unitary method to solve:
As we know original price of hotel stay per night is $240
∴ Price of four night stay at original price is
Next, 25% discount given on the price of four night stay.
∴
=
∴Price of four night hotel stay after discount is
Now, 29% taxes and fees been added to the price.
Price of hotel stay after discount + Taxes paid.
=
∴ is the price to be paid for four night stay at hotel after discount and taxes.
Answer:
1. 6 feet
2. 6.25 feet
3. 1 feet
4. 6 feet
Step-by-step explanation:
The equation is :
1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.
So, substituting x = 0 in the equation, we get
So, the diving board is 6 feet above the surface of the water.
2. From the equation, we known that it is a parabola and the vertex is minimum.
It is the minimum height which represents the depth Kendra dives into the water.
So the coordinate of the vertex is =
Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,
a = 1 and b = -7
∴ x coordinate =
Now substituting to find f(x),
= -6.25
Therefore, the diver dives 6.25 feet below the water surface.
3. The horizontal distance from the board the diver enters into the water.
This is the y-intercept and it is the value of x when h(x)=0.
∴
Factorizing, we get
∴
So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.
4. We know that the equation given has x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height
. The height is the water surface level.
The first x intercept represents the points where Kendra dives into the water.
And the second x intercept is the point where Kendra comes out of the water surface. This this is for
.
Thus Kendra dives out of the water surface at 6 feet from the board.