A standard deviation is 2500 miles, so the range of 25,000 to 37,500 is 2 standard deviations below, and 3 standard deviation above the mean of 30,000.
We aren't assuming anything about the distribution, but we sort of have to assume a normal distribution in order to answer. When you don't know anything about a distribution, this is generally what you do.
The general rule for standard deviations is:
+/- 1 SD: +/- 34% of population, for a total of 68%
+/- 2 SD: Another 14% in either direction, for a total of 96% of population.
+/- 3 SD, Another 2% in either direction, which pretty much captures the entire distribution (4 standard deviations from the mean is incredibly rare/unlikely)
We have a range of +/- 1 SD, so we know that 68% percent o the tire 'population' is captured in the range. We also have one more standard deviation in both directions, so we add 28% to this number to get 96% of the population. We have a third standard deviation above the mean, so we add another 2% to arrive at 98% of the population.
Answer is 98% of all such tires.
This is not a quadratic equation.
It is a cubic equation.
X1 = 4
X2 = -5
X3 = -4
Answer:
c
Step-by-step explanation:
i think
To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:
So, the graph of the dilated triangle is shown in the Figure below
Answer:
The answer is 75 tests for 150 people.
Step-by-step explanation:
Firstly, with 150 people, we can divide into 15 groups; and the probability of disease is 0.04, there are 6 persons who possibly get disease.
Therefor, the maximum number of groups with an individual getting disease is 6. Then, 6 * 11 tests = 66 tests required.
15 groups - 6 groups with disease = 9 groups of negative with 9 tests.
In conclusion, there are 75 tests required.
