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laiz [17]
2 years ago
6

Consider ΔABC with its centroid at point E and median AD. What is the length of AE if AD = 30?

Mathematics
1 answer:
7nadin3 [17]2 years ago
6 0

Answer:

10

Step-by-step explanation:

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}

Hence, the correct option is D. 2/7

6 0
3 years ago
You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of th
UNO [17]
4/26 which simplified to 2/13

so 2/13 is the answer
6 0
2 years ago
Read 2 more answers
Is -7 rational Helppppppp
Finger [1]

Answer:

Rational numbers are fractions composed of integers. An integer is a number with no fractional part. So 7/8 is a ratio of whole numbers, which makes it rational. Negative or positive does not matter.

Step-by-step explanation:

7 0
3 years ago
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The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are
alexandr402 [8]

9514 1404 393

Answer:

  B.  5.791

Step-by-step explanation:

The slope of the line is the coefficient of x in its equation. The equation is ...

  ŷ = -74.704 +5.791x

The coefficient of x, the slope, is 5.791.

6 0
3 years ago
The table shows the animals at a petting zoo.What is the ratio of goats to the total number of animals?
Pachacha [2.7K]
Number of Goats in the zoo = 6
number of total animals = 2 + 4 + 3 + 6 = 15

So, ratio would be: 6/15 = 2/5

In short, Your Answer would be 2/5

Hope this helps!
5 0
3 years ago
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