Answer:
0 tests
Yes, this procedure is better on the average than testing everyone, it makes it less cumbersome.
Step-by-step explanation:
Given the information:
Let P be the probability that a randomly selected individual has the disease = 0.1. N individuals are randomly selected, thereafter, blood samples of each person would be tested after combining all specimens. Should in case one person has the disease then it yields a positive result and test should be set for each person.
Let Y be number tests
For n = 3 there are two possibilities. If no one has the disease then the value is 1 otherwise the value is 4, here P = 0.1
Therefore, for Y = 1
P(Y-1) = P(no one has disease)
= 0.9³
= 0.729
If Y = 4
P(Y-4) = 1-P(y = 1)
= 1 - 0.729 = 0.271
The expected number of tests using this formular gives
E(Y) = 1×0.729 + 4×0.271
E(Y) = 0
Answer:
B 70
Step-by-step explanation:
7 |H| + 4 G
H = -6 and G = 7
| H| = 6
7*6 + 4*7
42+28
70
<span>To explain how these values are related, take the second value (625) and multiply it by 1/100, or in decimal form, 0.01. This is the equivalent of moving the decimal point two spaces to the left, which will give a result of 6.25. (625 * 0.01 = 6.25). This shows that the two values are 100 times different than each other.</span>
Answer:
a. 26 units²
Step-by-step explanation:
The x-axis conveniently divides the figure into a triangle (above the x-axis) and a trapezoid (below the x-axis).
The top triangle has a base of 4 and a height of 3, so its area is ...
triangle area = (1/2)(4 units)(3 units) = 6 units²
The bottom trapezoid has a top base of 4, a bottom base of 6, and a height of 4 units. Its area is ...
trapezoid area = (1/2)(b1 +b2)h = (1/2)(4 units + 6 units)(4 units) = 20 units²
The total area of the figure is ...
area = triangle area + trapezoid area = 6 units² + 20 units² = 26 units²
Answer: Choice A) $0.45
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Explanation:
Plug in d = 0 and you'll have A(d) = 0.45d+180 turn into A(0) = 180. This says that Terry is paid $180 even if he doesnt travel a single mile.
Now plug in d = 1. You should get A(1) = 180.45 as the result.
Subtract the results: 180.45 - 180 = 0.45
He has earned 45 cents or 0.45 dollars for traveling one mile
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A shortcut is to notice that the slope of the line is 0.45
It might help to view A(d) = 0.45d+180 as y = 0.45x+180. We see that the equation is in slope intercept form y = mx+b
m = slope = 0.45 tells us how much additional dollars Terry earns for each additional mile traveled
b = 180 = y intercept = starting amount of money Terry is paid, this amount does not change based on how many miles he travels.
