PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
1 answer:
Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = r² +
r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² +
r
188.5 = r² + 10
r
r² + 10
r - 188.5 = 0
r = = 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(
² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
B
Step-by-step explanation:
We see that the line intersects the y-axis at -1. As a result, we need to choose an equation with -1, either B or C. We see that the different is the slope. For choice B, the slope is , meaning that every unit up equates to 3 blocks to the right. Counting along the line, we see that this is correct.