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SashulF [63]
3 years ago
9

John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total

number of pages (p in the novel.
Find the total number of pages in the novel.
Mathematics
1 answer:
igomit [66]3 years ago
3 0

Answer: 441 pages

Step-by-step explanation:

\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441

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3 years ago
Given that the line y=ax+b passes through the points A(0; 3) and B(-2;7), how do I find the values of a and b?
Andru [333]
First you have find the slope (a) in order to find the value of the y intercept (b).

To compute the slope, you simply have to find the difference of y coordinates and divide them by the difference of x coordinates:

a = (y2-y1)/(x2-x1)
a = (7-3)/(-2–0)
a = 4/-2
a = -2

To compute the y intercept denoted by b, we substitute the value of a with -2 in the formula and choose any point (x,y) and substitute their values in the formula as well. Like so:

I choose point A:

3 = (-2)(0) + b
3 = b

4 0
2 years ago
4x+3x-5x-5+5x+5x-x3+x2-8x+2x+7-5x
Yuri [45]

1.) Group like terms: 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x-5+7

2.) Add similar elements: = 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x=0

3.) =-5+7

4.) Add/Subtract the numbers: -5 + 7 = 2

<u>Your Answer: 2</u>

5 0
3 years ago
Find the amount of interest on $35,000 at 9.72% compounded monthly for 32 months
zhannawk [14.2K]

9514 1404 393

Answer:

  $10,308.92 interest earned

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +r/12)^n

where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...

  A = $35,000(1 +0.0972/12)^32 = $45,308.92

The interest earned is the excess of the balance over the original investment:

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4 0
3 years ago
A multiple choice test is composed of 10 questions. Each question has four possible answers, only one of the four possible answe
kompoz [17]

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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!}  

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

4 0
3 years ago
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