The reflex angle is the other angle
see image below
so
reflex=360-angle
reflex=360-60=300
reflex angle=300
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
We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:
x ≥ (3 + 3/4) mi
<h3>
Finding the inequality:</h3>
We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.
So to reach that minimum, she needs to walk:
(6 1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi
And she can walk that or more, so the inequality is:
x ≥ (3 + 3/4) mi
Where x represents how much she will walk this week.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
Answer:
4 better explanation inbox
Step-by-step explanation:
Answer:
$84
Step-by-step explanation:
720x30=21600
21600/100=216
216=markdown (as a number instead of a percentage)
Now subtract that like this
720-216=504
504= sale price
Then do this
504-420=84
<em><u>Therefore it is $84</u></em>
<em><u /></em>
<em>Hope you understand!</em>