Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
To determine the lines that are parallel, you will need to find the missing angle length in the pairs of supplementary angles (totaling 180 degree).
180 - 114 = 66 degrees
180 - 112 = 68 degrees
Using these you can see the lines that are parallel. They have matching angle measurements.
c // f
d // e
Answer:
exact form - b = -11/5
decimal form - b = -2.2
Mixed number form - b = -2 1/5
Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is
This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is
The slope is 5.
3 1/4 cups for 13 servings...
(3 1/4) / 13 =
13/4 * 1/13 =
13/52 which reduces to 1/4 cup per serving
for 28 servings...
1/4 * 28 = 28/4 = 7 cups <== 28 servings requires 7 cups of flour