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beks73 [17]
3 years ago
8

Help with circle problems

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0
B. 150

Hope I was able to help!
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Write an equation in standard form for the line that had an undefined slope and passed through (-6, 4)
guajiro [1.7K]

x = -6 is the equation for this question.


5 0
3 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.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

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

The probability density function of <em>X</em> 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 <em>X</em> 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
3 years ago
A stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. How long are the two piece
marshall27 [118]

Hello from MrBillDoesMath!

Answer:

7/3 and 14/3 inches

Discussion:

Let P1 = "Piece 1" and "P2 = Piece 2", Then P2 = 2 * P1 and

P1 + P2 = 7       => as P2 = 2 P1

P1 + 2P1 = 7      =>

3P1 = 7             => divide both sides by 7

P1 = 7/3


Then P2 = 2 P1 - 2* (7/3) = 14/3

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
–2.5p – 20 = 9p + 37.5
Elenna [48]

Answer:

p = - 5

Step-by-step explanation:

–2.5p – 20 = 9p + 37.5

combine like terms:

- 2.5p - 9p = 37.5 + 20

simplify:

- 11.5p = 57.5

p = 57.5 / -11.5

p = - 5

6 0
3 years ago
Read 2 more answers
Algebra 1 help please
Zielflug [23.3K]
Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1

For this you'd need to use the Pythagorean Theorem to find the short leg.

Pythagorean Theorem - a^2 + b^2 = c^2
3 0
3 years ago
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