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tankabanditka [31]
3 years ago
12

Must m, in the equation y=mx+b=, always be a positive number?

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0

Of course not. 

If the line rises higher as it goes from left to right,
then its slope ( 'm' ) is positive.

If it sinks lower as it goes from left to right,
then its slope ( 'm' ) is negative.

Stells [14]3 years ago
4 0
No it can be a positive or a negative,
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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
Identify the numerical coefficient, the variable,
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Answer:

A numerical coefficient is a constant multiplier of the variables in a term. so it would be 3x cause it has a number and a variable.

a variable is a symbol which functions as a placeholder for varying expression or quantities, so x is the variable.

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables.  so it would be the 2

Step-by-step explanation:

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Divide 1/6 by 1/2. Input your answer as a reduced fraction.
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4/3 or 1 1/3 hope this helps
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Solving a system of linear equations using the substitution method. <br> 5x+4y=-26<br> 5-x=-6y
yan [13]
Solve for x in 2nd equation
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x-5=6y
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x=6y+5

sub

5(6y+5)+4y=-26
30y+25+4y=-26
34y+25=-26
minus 25 both sides
34y=-51
divide both sides by 34
y=-3/2
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x=6y+5
x=6(-3/2)+5
x=-18/2+5
x=-9+5
x=-4


(-4,-3/2) is solution
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You invest $4000 in an account at 6.5% per year simple interest. How much will you have in the account at the beginning of the 9
aleksandrvk [35]

Answer:

$6340

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First figure out what 6.5% of 4000 is by multiplying not dividing because dividing will give you a way bigger number.

4000 x 6.5%=260

260 x 9=2340

2340+4000=6340

8 0
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