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Serga [27]
3 years ago
5

Determine the approximate ordered pair for f(x)=g(x)

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20

(−3, 9)

(−3, 8)

(3, −19)

(3, −8)

Step-by-step explanation:

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Write an equation in slop-intercept form the line with slope 1/4 and y-intercept -7
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When you write an equation in the slope-intercept form

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the two coefficients m and b represent, respectively, the slope and the intercept.

So, in your case, m=1/4 and b= -7, which leads to the equation

y=\dfrac{1}{4}x-7

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3 years ago
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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0
3 years ago
The circumference of a circle is 20 pi centimeters what is the diameter of the circle
sasho [114]

Answer:

The answer is C

Step-by-step explanation:

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3 years ago
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Answer:

52,637,915

Step-by-step explanation:

3 0
2 years ago
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