Because none of the points on the number line are above 0, we know that the points will be negative.
This eliminates the second and third choices, as they contain positive numbers.
The first point, A, is a number less than -0.5 or -1/2
The first choice matches A with -5/16, which is less than -0.5 or -1/2
Therefore, the fourth choice must be the correct answer.
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer: D. The length is 13 units.
Step-by-step explanation:
(-1, -3 ) Find the difference between the x values and y values.
(11, -8)
-3-(-8) = 5
-1-11 = -12 now find the absolute values.
The absolute value of 5 is 5 . The absolute value of -12 is 12.
Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.
5^2 + 13^2 = C^2
25 + 144 = c^2
169=c^2
c= 13
Answer:
(i) = 3
(ii) = 20
Step-by-step explanation:
x = 1
y = -2
z = -1
(i) 4x - 3y + 7z
4(1) - 3(-2) + 7(-1)
4 + 6 - 7 = 3
(ii) 2x³ - 6y²z + 3xyz²
2(1)³ - 6(-2)²(-1) + 3(1)(-2)(-1)²
2 + 24 - 6 = 20
9514 1404 393
Answer:
- fraction
- denominator
- product
- numerator
Step-by-step explanation:
When you multiply a <u>fraction</u> by a whole number, the denominator in the product is the same as the <u>denominator</u> of the fraction. The numerator in the product is the <u>product</u> of the whole number and the <u>numerator</u> of the fraction.
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That's the rule. It is derived from the fact that multiplication indicates repeated addition.
