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jolli1 [7]
3 years ago
14

Step 3: Displaying numerical data in dot plots, and describing and analyzing

Mathematics
1 answer:
mylen [45]3 years ago
4 0

Answer:

81

Step-by-step explanation:

i added it all

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You tell your 3 friends that you are going to a magic show. It turns out, in an amazing coincidence, they each
Inga [223]

Answer:

\frac{1}{4845} probability that you and your 3 friends will be selected.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the volunteers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

You and the 3 friends(4 people), from a set of 4. So

D = C_{4,4} = \frac{4!}{4!0!} = 1

Total outcomes:

20 people from a set of 20. So

T = C_{20,4} = \frac{20!}{4!16!} = 4845

Probability:

p = \frac{D}{T} = \frac{1}{4845}

\frac{1}{4845} probability that you and your 3 friends will be selected.

8 0
3 years ago
Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees​
Svetllana [295]

Answer:

1 tree every 45 mins

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Samuel is going to invest $4,900 and leave it in an account for 14 years. Assuming the
Vladimir79 [104]

Answer:

0.054

Step-by-step explanation:

Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/2)^2(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/2)^28. Then we take the 28 square root from both sides. 1.02689= 1 + r/2. Subtract 1 from both sides. 0.02689= r/2. Then multiply both sides by two. r= 0.054.

3 0
3 years ago
A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round y
GaryK [48]
From V= 4/3*pi*r^3 
<span>dV/dt = 4pi(r^2)dr/dt </span>
<span>so when dV/dt=30 and r = 19 </span>
<span>30 = 4pi(361)dr/dt </span>
<span>dr/dt = 30/[4pi(361)] </span>

<span>now in </span>
<span>A = 4pir^2 </span>
<span>dA/dt = 8pi(r)dr/dt </span>
<span>= 8pi(19)*30/[4pi(361)] </span>
<span>= you finish it.</span>
<span>HOPE THIS HELPS.
</span>
3 0
3 years ago
Classify the triangle based on angle measures.
arlik [135]

This is an obtuse triangle because one angle of it is greater than 90 degrees :)

3 0
3 years ago
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