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uranmaximum [27]
3 years ago
10

Find the equation of a line containing the given point and slope (10,5); m=9/20

Mathematics
1 answer:
ohaa [14]3 years ago
6 0
\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 10}}\quad ,&{{ 5}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{9}{20}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-5=\cfrac{9}{20}(x-10)\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-5=\cfrac{9}{20}x-\cfrac{9}{2}\implies y=\cfrac{9}{20}x-\cfrac{9}{2}+5\implies y=\cfrac{9}{2}x+\cfrac{1}{2}
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A binomial distribution has p = 0.05 and n = 50. what is the mean of this distribution?
Kruka [31]

2.5 is the mean of this distribution.

What is the distribution's mean?

  • The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
  • The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.

Given: p = 0.05 and n= 50

Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5

Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.

Learn more about  binomial distribution

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7 0
1 year ago
A clothing store spends $10 for each shirt it produces and has fixed costs of $400. If the store makes 50 shirts, how much shoul
Kazeer [188]

Answer:

b)$18

Step-by-step explanation:

The break even point is when the revenue is equal to the cost.

Revenue:

How much the store earns for each shirt.

We want to find the price of each shirt, and 50 shirts will be made.

So the revenue function is:

R = 50p

In which p is the price.

Costs:

A clothing store spends $10 for each shirt it produces and has fixed costs of $400.

So for 50 shirts:

400 + 50*10 = 900

Breakeven

Revenue equals cost

50p = 900

p = 900/50

p = 18

So the correct answer is:

b)$18

8 0
3 years ago
there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the prob
ivanzaharov [21]

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

3 0
3 years ago
justin is redoing his bathroom floor with tiles measuring 6 in. by 13 in. the floor has an area of 8,500 in2. what is the least
Softa [21]


Frist you do 6*13

Which equals 78

Then you do 8,500/78

Which equals <span>108.974358974</span>

<span>Then you round it to 109</span>

<span>and there's your awnser</span>

<span>
</span>

3 0
3 years ago
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5 gallons of gas is better than thanks
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