Point A is at (12,12)
Point B is at (48,24)
Use the distance formula √((x2-x1)^2 + (y2-y1)^2)
Length = √((48-12)^2 + (24-12)^2)
Length = √(36^2 + 12^2)
Length = √(1296 + 144)
Length = √1440
The answer is E.
The percent of the parcels weighed between 12 ounces and 30 ounces will be 81.86%. And the percentage of the parcels weighing more than 42 ounces will be 0.13%
<h3>What is a normal distribution?</h3>
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 24 ounces and a standard deviation of 6 ounces.
Then the percent of the parcels weighed between 12 ounces and 30 ounces will be
When x = 12, then we have
z = (12 - 24) / 6
z = -2
When x = 30, then we have
z = (30 - 24) / 6
z = 1
Then we have
P(12 < x < 30) = P(-2 < z < 1)
P(12 < x < 30) = 0.81859
P(12 < x < 30) = 81.86%
Then the percentage of the parcels weighing more than 42 ounces will be
When x = 42, then we have
z = (42 - 24) / 6
z = 3
Then we have
P(x > 42) = P(z > 3)
P(x > 42) = 1 - P(z < 3)
P(x > 42) = 0.0013499
P(x > 42) = 0.13%
More about the normal distribution link is given below.
brainly.com/question/12421652
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Answer:
g(x) = x² + 4x + 1
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, - 3), thus
y = a(x + 2)² - 3
To find a substitute (2, 13) into the equation
13 = a(2 + 2)² - 3
13 = 16a - 3 ( add 3 to both sides )
16 = 16a ( divide both sides by 16 )
a = 1, hence
g(x) = (x + 2)² - 3 ← expand factor and simplify
= x² + 4x + 4 - 3
g(x) = x² + 4x + 1
Answer: no
Step-by-step explanation: the answer is no