Answer:
Range = 2460 dollars, Variance = 516414.6 , Standard deviation = 718.6199 dollars . There are two outliers and they are likely to have much of an effect on the measures of variation.
Step-by-step explanation:
The smallest value in the sample data is min = 50 dollars and the largest value is max = 2500 dollars, therefore, the range is Range = max - min = 2500 - 40 = 2460 dollars. On the other hand, the formula to compute the sample variance is where is the sample mean, n is the sample size and the are the sample values. In this case the sample variance is = 516414.6 , the sample standard deviation is defined as the squared root of the sample variance, so, the sample standard deviation is s = 718.6199 dollars. There are two outliers because 1750 dollars and 2500 dollars are very different compared to the other values, these two numbers are very large and they are likely to have much of an effect on the measures of variation because these measures are sensible to outliers, they are no robust measures.
Answer:
The inverse is x-3
Step-by-step explanation:
h(x) =
x +3
y = x+3
Exchange x and y
x = y+3
Solve for y
Subtract 3 from each side
x-3 = y+3-3
x-3 = y
The inverse is x-3
Answer:
D
Step-by-step explanation:
The line x originates from the center of the circle and forms a perpendicular line with line RS, which means that the line is bisected.
That means that line RT is half of line RS, or 7.
Then we can use the Pythagorean Theorem to find the measure of x.
b = √32
b ≈ 5.66
Height of the trapezoids = sqrt (17^2 - 8^2) = 15cms
base = 19 cms
(b) area of each trapezoid = 15/2 (35 + 19) = 405 cm^2
Total area painted blue = 2*405 = 810 cm^2
(c) length of the edges of one trapezoid = 35 + 19 + 2(17) = 88 cms
So one piece of sandpaper ( can sand up to 80 cm) will not be enough to sand all of the edges.
Answer: P(x ≥ 1) = 0.893
Step-by-step explanation:
We would assume a binomial distribution for the outcome of the investment. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 36% = 36/100 = 0.36
q = 1 - p = 1 - 0.36
q = 0.64
n = 5
Therefore,
P(x ≥ 1) = 1 - P(x = 0)
P(x = 0) = 5C0 × 0.36^0 × 0.64^(5 - 0)
P(x = 0) = 1 × 1 × 0.107
P(x = 0) = 0.107
P(x ≥ 1) = 1 - 0.107 = 0.893