To find the Y intercept, you need to change this equation into y=mx + b format. You can do this by subtracting 3x from both sides of the equation. This results in the equation of
If you are familiar with this format, it should be clear now that the Y intercept is - 2
Answer:
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- <u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>
Explanation:
Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."
You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.
- p = 0.732 is the probability of success (an individual experiences headaches).
- n = 5 is the number of trials (number of subjects in the sample).
The meaning of the table of the distribution probability is:
The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.
To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:
- X = 2 or X = 3 or X = 4 or X = 5
That is:
- P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).
That is also the complement of P(X = 0) or P(X = 1)
From the table:
- P(X = 0) = 0.0014
- P(X = 1) = 0.0189
Hence:
- 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797
That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.
In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>
The answers would be 3 (rotation) 4 (rotation) and 5 (translation)
ASSUMING
is the expression to be factored.
where
a=1
b=-11
c=-60
We look for m, n such that m+n=b=-11, mn=c=-60.
It is possible to find m, n mentally, or compile a table as follows:
-1*60=-60, -1+60=59 > -11
-2*30=-60, -2+30=28 > -11
-3*20=-60, -3+20=17 > -11
-4*15=-60, -4+15=11 > -11
But 4*(-15)=-60, and 4-15=-11, exactly what we want!
So
Option a. 1/4 is the right answer
Step-by-step explanation:
Given expression is:
Here
we know that
a = x
In order to find the number which should be added
comparing with the formula
So, we will add the square of 1/2 which is 1/4
Hence,
Option a. 1/4 is the right answer
Keywords: Expressions, polynomials
Learn more about polynomials at:
#LearnwithBrainly
