Answer:
y = -3x - 1
Step-by-step explanation:
Let he equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Slope 'm' of the line passing through two points and
is,
m =
Slope of the line passing through (-2, 5) and (2, -7) will be,
m =
m = -3
Equation of the line will be,
y = -3x + b
Since, this line passes through (-2, 5),
5 = -3(-2) + b
5 = 6 + b
b = 5 - 6
b = -1
Therefore, equation of the line will be,
y = -3x - 1
Answer:
P(Fewer than 3) = 0.05.
Step-by-step explanation:
We are given that a student takes a true-false test that has 10 questions and guesses randomly at each answer.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 10 questions
r = number of success = fewer than 3
p = probability of success which in our question is probability
that question is answered correctly, i.e; 50%
<u>LET X = Number of questions answered correctly</u>
So, it means X ~ Binom(n = 10, p = 0.50)
Now, Probability that Fewer than 3 questions are answered correctly is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= 0.05
Hence, the P(Fewer than 3) is 0.05.