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love history [14]
3 years ago
8

divide 575 by 14 by using partial quotients. what is the quotient? explain your answer using number and words

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0
41. 1 is your anwser
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Divide $200 in the ratio 3:2. What is the result?
s2008m [1.1K]

Answer:

b) $120 , $ 80

Step-by-step explanation:

Ratio = 3 :2

Total = 3 + 2 = 5

3/5 of 200 = \frac{3}{5}*200

                  = 3 * 40

                  = $ 120

2/5 of 200 = \frac{2}{5}*200

                 = 2 * 40

                  = $ 80

5 0
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.

(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
Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written
Elena-2011 [213]

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

8 0
3 years ago
Glenn Andrews recently bought a new motorbike for $3,950. If he had to pay 6 percent sales tax on the bike, what was the total c
Lorico [155]
FIND TAX
=$3950 * 6%
=3950 * 0.06
=$237 tax

FIND TOTAL
add tax above to bike price
=$3950 + $237
=$4187 total

ANSWER: The cost of the motorbike with tax is $4187.

Hope this helps! :)

3 0
3 years ago
What breaks but doesn't fall but falls and never breaks
SpyIntel [72]
How a day breaks, and a night falls. Do you get it? :P
5 0
3 years ago
Read 2 more answers
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