Step 1
Collinear points are a set of three or more points that exist on the same straight line. Collinear points may exist on different planes but not on different lines.
Step 2
Graph the points; (-5,2),(0,6),(6,4)
Step 3
Conclude based on step 2
Since the points are not a straight line, we can conclude that the 3 points are not collinear.
Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) = 
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k = 
Since, k is between 0 and
, function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) = 
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
Answer:
the first one
Step-by-step explanation:
If the number of trials is 50. Then the probability that he will not roll a 3 on his next roll will be 0.20 or 20 %.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The probability that out of n trials, there'd be x successes is given by
P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ
Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times.
Then the probability that he will not roll a 3 on his next roll will be
p = 1/6 = 0.1667
q = 1 - p = 1 - 1/6 = 0.8333
Then the probability will be
P = ⁵⁰C₇ (0.8333)⁴¹ (0.1667)⁷
P = 0.20
Learn more about binomial distribution here:
brainly.com/question/13609688
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Answer:
The teacher can make 7 groups of 6 students
Step-by-step explanation:
24+18= 42. The biggest number you can use to divide and get a real number is 7.