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2 years ago

Find the volume of a cylinder that has a radius of 6 feet and a height of 10 feet. Use 3.14 for pi.

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

4 0

It is the last one, 1,130.4 ft^3. The volume of a cylinder equals pi (in this case 3.14) multiplied by the radius squared multiplied by the height. (3.14x6^2x10)

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Need help with this one. TY!!

xxMikexx [17]

Answer:

(a) 6x + (x + 12) = 180

(b) m<1 = 144 m<2 = 36

Step-by-step explanation:

7x + 12 = 180

7x = 168

x = 24

6(24) = 144

(24) + 12 = 36

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2 years ago

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True or False? A secant is a line or segment that passes through a point on the circle and the center of the circle.

Musya8 [376]

Thr answer is False
That line is called diameter

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2 years ago

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2. Xamdi is having a birthday party. The event location says the total cost includes a fixed rental fee of $80 and $10 per guest

Stells [14]

80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.

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2 years ago

Members of the high school baseball team need to purchase cleats before the season starts. The pitcher paid $70 for his, but the

prohojiy [21]

Answer:

The pitcher paid $70.

The second baseman paid $63.

$70 -$63 = $7

Step-by-step explanation:

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2 years ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

2 years ago