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3 years ago

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

tatyana61 [14]3 years ago

3 0

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2 $\pi$ rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 2 x 14

= 2 x 22 x 2 x 7

= 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

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Determine the following:

dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

$P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997$

(b) for n = 10 and π = 0.40, what is P(X = 9)?

$P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016$

(c) for n = 10 and π = 0.50, what is P(X = 8)?

$P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047$

(d) for n = 6 and π = 0.83, what is P(X = 5)?

$P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018$

3 0

3 years ago

Find the slope of the line that passes through

Andreyy89

Answer:

-1/3

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(-2 + 1) / (2 + 1)

-1/3

So, the slope is -1/3

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3 years ago

The speed limit for Stadium Drive is 45 miles per hour. Generate at least 3 different interpretations of the rate 45 miles per h

bija089 [108]

Step-by-step explanation:

The solution to this problem requires that we find other units besides the given one

1. ft/sec

2. km/h

3.m/s

1. converting to ft/sec

1 mile is 5280 ft

$=\frac{45mile}{hour}* \frac{5280feet}{1 mile} *\frac{1 hours}{3600 secs} \\\\=66 ft/sec$

2. converting to km/h

1 mile is 1.60934

$=\frac{45mile}{hour}* \frac{1.60934km}{1 mile} *\frac{1 hours}{1hour} \\\\=72.42km/h$

3. converting to m/s

1 mile is 1609.34

$=\frac{45mile}{hour}* \frac{1609.34km}{1 mile} *\frac{1 hours}{3600 sec} \\\\=20.11m/s$

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