Answer:
Yes it is.
Step-by-step explanation:
Vertex is (2,-3). H (which is 2) sign is always opposite and k stays the same
Inequalities are expression not separated by an equal sign. None of the inequality is correct since there is absence of equal sign.
<h3>Graph of inequalities</h3>
Inequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.
An inequality that will have solid boundary line must include only the less than or equal to sign < or greater than or equal to > sign.
From the option given, none of the inequality is correct since there is absence of equal sign.
Learn more on inequality graph here: brainly.com/question/24372553
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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
500 centimeters I think *sweats nervously*
