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Alexandra [31]
3 years ago
13

Solve Ax + By = C for x.

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

x=C-By/A    

Step-by-step explanation:

Ax + By = C

       -By   -By

Ax=C-By

Ax/A=C-By/A

x=(C-By)/A        (fraction: C-By over A)

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What is the value of x
VashaNatasha [74]

Answer:

x = 40

Step-by-step explanation:

According to the Supplementary Angles Theorem, set <em>4x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em>and <em>x</em><em> </em>equal to 180. Once done, combine like-terms to get <em>5x</em><em> </em><em>-</em><em> </em><em>20</em><em> </em><em>=</em><em> </em><em>180.</em><em> </em>So, straight off the bat, we know that <em>5x</em> has to equal 200 [bringing 20 over to the right side of the equivalence symbol], therefore 40 is equal to <em>x</em><em>.</em>

I am joyous to assist you anytime.

5 0
3 years ago
Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
Statistics would not be useful if they were not presented with 100% certainty. T/F
ExtremeBDS [4]

Answer: False

Nothing is 100% certain no matter how sure it seems. This is especially true with statistics. There's always going to be some amount of error. The goal is to minimize the error as much as possible in the best cost-effective manner.

7 0
3 years ago
f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 uni
Harman [31]

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

8 0
3 years ago
In the figure, the measure of angle 6 is 141°. What is the measure of angle 5?
zalisa [80]
Angle 5 is 39 degrees
7 0
2 years ago
Read 2 more answers
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