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Veronika [31]
3 years ago
13

What is an equation of the line that passes through the point (4,-6) and has a slope of -3

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0

Answer:

y = -3x -6

Step-by-step explanation:

-6 is on the y line on the graph

-Dominant- [34]3 years ago
5 0

Answer: The equation of the line is

y = - 3x + 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The line passes through (4,-6) and the slope is -3

To determine the intercept, we would substitute x = 4, y = - 6 and m = - 3 into y = mx + c. It becomes

- 6 = - 3 × 4 + c

- 6 = - 12 + c

c = - 6 + 12

c = 6

The equation becomes

y = - 3x + 6

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The slope of the graph is equal to 4

Step-by-step explanation:

When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4

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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
When 300 college students were surveyed, 220 said they own their car. Find a point estimate for p, the population proportion of
Scilla [17]

\text{Hello there!}\\\\\text{Point estimates would be represented as:}\,\,p=\frac{x}{t}\\\\\text{"x" would represent the value you know}\\\\\text{"t" would represent your total}\\\\\text{To find your point value, you would divide 220 by 300}\\\\220\div300=0.73333333\\\\\text{Round to the nearest thousandths place}\\\\\boxed{0.733}

4 0
3 years ago
What is the value of x
My name is Ann [436]
X=3



Explanation:

A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180

56+4x+112=180
168+4x=180

Subtract 168 from both sides

4x=12

Divide 4 from both sides

X=3


You can check by filling it in.


56+4*3+112=

12+56+112=180
5 0
2 years ago
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