Just rank every pair of numbers for example:
The first one is: 1,-3.
2•1-3•-3>12
2+9>12
11>12
That's Incorrect. The first pair of numbers doesn't match the inequality.
Now do the same thing to all the other pairs of numbers.
Answer:
The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The braking distances of a sample of cars are normally distributed, with a mean of 129 feet and a standard deviation of 5.18 feet.
This means that
What is the longest braking distance one of these cars could have and still be in the bottom 1%?
This is the 1st percentile, which is X when Z has a pvalue of 0.01, so X when Z = -2.327.
The longest braking distance one of these cars could have and still be in the bottom 1% is of 116.94 feet.
Answer:
36
Step-by-step explanation:
Angles in a triangle sum to 180 degrees.
The angle in the bottom left will equal 180 - (3x + 6) as angles along a staight line also sum to 180 degrees.
180 - ( 3x + 6)
180 - 3x - 6 [expand bracket]
174 - 3x
Now we can add up all the angles and equate them to 180 to solve for x.
24 + 2x + 18 + 174 - 3x = 180
216 - x = 180
216 = 180 + x
x = 36
First, let's calculate the area of the rectangle. Find the distances between the length and the width. For the width we can use point A and point D.
(2, 2) and (20, 2)
20 - 2 = 18
So the width is 18 cm. Now find the length. We can use point A and point B.
(2, 2) and 2, 26)
26 - 2 = 24
So the length is 24.
So the area of the rectangle is 432 square centimeters, now let's find the area of the circle.
The radius is given as 15 cm. Use 3.14 to approximate for pi.
So the area of the circle is approximately 706.5 square centimeters. Subtract this area from the area of the rectangle to find the value of the shaded area.
The slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.
According to the question,
Line 'a' is perpendicular to the line 'b'. If the slope of the line 'a' is 7.
The condition of slopes if two lines are perpendicular m₁ m₂ = -1
(7)(m₂) = -1
m₂ = -1/7
Hence, the slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.
Learn more about perpendicular lines here
brainly.com/question/2505127
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