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Lelechka [254]
2 years ago
8

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

t are normally distributed with mean 3 cm and standard deviation 0.08 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm.
1. What is the probability that the first machine produces an acceptable cork?
2. What is the probability that the second machine produces an acceptable cork?
3. Which machine is more likely to produce an acceptable cork?
Mathematics
1 answer:
nata0808 [166]2 years ago
6 0

Answer:

Step-by-step explanation:

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What is the surface area of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface
irinina [24]

Answer:

TSA = 175.84 ft²

Step-by-step explanation:

We are given;

Lateral surface area; A_L = 75.36 ft²

Area of base; A_b = 50.24 ft²

Height of cylinder; h = 3ft

Formula for total surface area of Cylinder is;

TSA = 2πr² + 2πrh

Now, lateral surface area is given by the formula; A_L = 2πrh

Area of base is given by the formula;

A_b = πr²

Thus, let's apply these 2 formulas to the formula for total surface area;

TSA = 2(Area of base) + Lateral surface area

TSA = (2 * 50.24) + 75.36

TSA = 175.84 ft²

3 0
3 years ago
find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1
maw [93]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))


For lines to be parallel, their slopes have to be the SAME.


The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b


y = 5/3x + 1

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3 years ago
There is a total of 80 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North
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Horace take a taxi uptown and the fare is $12.78 he wants to give the taxi a 10% tip if Horace gives the driver a $20 bill how m
Olegator [25]

Answer:

$5.94

Step-by-step e

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

7 0
3 years ago
How does an expression differ from an equation?
rewona [7]
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
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