The probability when x is greater than 120 is 0.0367. Then the correct option is D.
<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.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
More about the normal distribution link is given below.
brainly.com/question/12421652
#SPJ1
Answer:
The answer to your question is Perimeter = 64 ft
Step-by-step explanation:
Data
width = 16 ft
length = width + 4 ft
Perimeter = ?
Process
1.- Calculate the length
Length = 14 + 4 = 18 ft
2.- Look for the formula of the perimeter
Perimeter = 2(length) + 2(width)
3.- Substitution
Perimeter = 2(18) + 2(14)
4.- Simplification
Perimeter = 36 + 28
5.- Result
Perimeter = 64 ft
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
The answer for the problem would be -12
Step-by-step explanation:
(28+35) = 63
63-75= -12
Cone details:
Sphere details:
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================




To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>

<u>apply chain rule</u>

<u>Equate the first derivative to zero, that is V'(x) = 0</u>




<u />
<u>maximum volume:</u> <u>when h = 40/3</u>


<u>minimum volume:</u> <u>when h = 0</u>

