F ∪ H is defined as the set that consists of all elements belonging to either set F or set H (or both).
F ∩ H is defined as the set composed of all elements that belong to both F and H
Vicky drew a scale drawing of a city. She used the scale 1 inch : 2 yards. If the actual width of a neighborhood park is 62 yard
1 answer:
Answer:
The park is <u>31 inches</u> wide in the drawing.
Step-by-step explanation:
Given:
Vicky drew a scale drawing of a city. She used the scale 1 inch : 2 yards.
The actual width of a neighborhood park is 62 yards.
Now, to find the width of park in drawing.
Let the width of park in drawing be
The scale drawing of the city is 1 inch : 2 yards.
So, 1 inch is equivalent to 2 yards.
Thus, is equivalent to 62 yards.
Now, to get the width of park in drawing by using cross multiplication method:
By cross multiplying we get:
Dividing both sides by 2 we get:
Therefore, the park is 31 inches wide in the drawing.
You might be interested in
Answer:
(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .
Step-by-step explanation:
We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.
Let X = Distribution of number of surface flaws in plastic panels
So, X ~ Poisson()
The mean of Poisson distribution is given by, E(X) = = 0.05
which means, X ~ Poisson(0.05)
The probability distribution function of a Poisson random variable is:
Now, we know that for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.
Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5
(a) Probability that there are no surface flaws in an auto's interior =P(X=0)
P(X = 0) = =
= 0.6065
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws =
So, =
= 0.00673
the answer is in the picture I mentioned as the answer ok ◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
Answer:
x = -8, -2, and 1
Step-by-step explanation:
The zeros of a function are another name for its x-intercepts. To find them, graph the function and examine its behavior near the x-axis. In the attached picture you can see that this function has the zeros, x = -8, -2, and 1.
