Answer:
1.5
Step-by-step explanation:
The mean is the Middle number.
1 standard deviation in both sides of 7.5 makes it between 6 and 9.
<u>What is the </u><u>"common difference"</u><u> in 6 to 7.5 and from 7.5 to 9?</u>
and
So, we would say the standard deviation is 1.5
Answer choice A is right.
Answer:
Probability of rolling at least 4 sixes is 0.01696.
Step-by-step explanation:
We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.
The above situation can be represented through binomial distribution;
where, n = number trials (samples) taken = 6 trials
r = number of success = at least 4
p = probability of success which in our question is probability of
rolling a “six", i.e; p = 0.20
<u><em>Let X = Number of sixes on a die</em></u>
So, X ~ Binom(n = 6, p = 0.20)
Now, Probability of rolling at least 4 sixes is given by = P(X 4)
P(X 4) = P(X = 4) + P(X = 5) + P(X = 6)
=
=
= 0.0154 + 0.00154 + 0.000064
= 0.01696
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Therefore, probability of rolling at least 4 sixes is 0.01696.
Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is: