Answer:
5.13 % to the nearest hundredth.
Step-by-step explanation:
This is a Binomial Distribution .
The required probability
= 30C6 (0.33)^6 (0.67)^(30-6)
= 0.051345
Answer:Lateral surface area is 847.8 centimeters^2
Step-by-step explanation:
The formula for determining the lateral surface area of a cylinder is expressed as
Lateral surface area = 2πrh
Where
r = radius of the cylinder
h = the height of the cylinder
From the information given,
r = 9 centimeters
h = 15 centimeters
π = 3.14
Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2
The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Area of a rectangle
The formula for calculating the area of a rectangle is expressed as:
A = length * width
For the large triangle
Area = 16 * 12
Area of large triangle = 192 square units
For the smaller rectangle
Area = 4 * 3
Area. of small rectangle = 12 square units
Ratio = 12/192 = 1:16
Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Learn more on area of rectangle here: brainly.com/question/25292087
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The equation to find a z score is (x- mean)/(standard deviation)
So, in this case the equation would be
(76-70)/(2.1)
For,
X=76
Mean=70
Standard Deviation= 2.1
After solving we find that the z score equals 2.85714
or
2.8571
Answer:
A: f(x)=2x^2 +12x +10
B: f(0) = 10
Step-by-step explanation:
<u>Part A</u>:
f(0) is a constant in the equation if the form is such that for x=0, all terms are zero except one of them. Standard form is one such form. This is the equation in standard form:
f(x) = 2x^2 +12x +10
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<u>Part B</u>:
f(0) = 0 + 0 + 10
f(0) = 10
