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Lelu [443]
3 years ago
15

1. What is the equation in point-slope form of the line that has a slope of 1/3 and passes through the point (12, 5)?

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

45

Step-by-step explanation:

because the mass

You might be interested in
If m < 0 and b > 0, the graph of y = mx + b does not pass through which quadrant?
stiks02 [169]

Answer:

Quadrant III


Step-by-step explanation:

The attached picture shows graph of 4 such linear functions with the conditions given in the problem. ALL of them DO NOT pass through Quadrant III.

The graphs shown are of the functions:

y=-2x+1

y=-3x+3

y=-x+0.5

y=-5x+2


<em>So, any linear function of the form  y=mx+b  with  m  and  b>0  does not pass through Quadrant III. Answer choice 3 is correct.</em>


8 0
4 years ago
Read 2 more answers
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Your job pays $8 per hour. (a) Write an algebraic expression for your pay in dollars for working h hours. (b) What is your pay i
Korvikt [17]
P = 8h.....where P stands for pay

if u work 36 hrs...
P = 8(36)
P = 288 <==
4 0
3 years ago
Read 2 more answers
The sum of a number times 8 and 21 is less than -16.
vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

7 0
2 years ago
True or false by definition a simple random sample of size n
Sophie [7]
True

I hope I helped you out
7 0
3 years ago
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