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o-na [289]
3 years ago
7

Chen's pocket holds 10 coins: 3 quarters, 4 dimes, 1 nickle, and 2 pennies. What are the chances that he first randomly pulls ou

t a quarter and then, without putting the quarter back in, pulls out a penny at random?
Mathematics
1 answer:
Aneli [31]3 years ago
7 0
All the outcomes are 10 (possibilities)


To pull a quarter (total 3), its probability = 3/10 or 0.3

Now without putting the quarter back, the remaining total is now 9 (because one quarter was pulled out) so the probability of getting a penny is 2/9

But this is a conditional probability a) 1st pull a quarter & 2nd pull a penny

So the total probability is 3/10 x 2/9 =6/90 = 1/15 = 0.067
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Find the midpoint of the segment with the following endpoints. (5,3) and (1,9)
OLEGan [10]

Answer:

(3, 6)

Step-by-step explanation:

If you create a mini graph, like I did, you would have seen that the middle point is at the co-ordinates (3,6). I have attached a image to this reply, with my "graph". (Sorry if its a little ugly, but that doesn't matter, the math does.)

8 0
3 years ago
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
HACTEHA [7]

Answer:

-\frac{1}{2}y^2-4y+1=x

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of  horizontal parabola is

(y-k)^2=4p(x-h)

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9                   and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

(y-k)^2=4p(x-h), k= -4, h= 9 , p = -0.5

(y+4)^2=4(-0.5)(x-9)

(y+4)^2=-2(x-9)

y^2+8y+16=-2x+18

subtract 18 on both sides

y^2+8y-2=-2x

Divide whole equation by -2

-\frac{1}{2}y^2-4y+1=x




4 0
3 years ago
What is the median of 16,94,66,29, and 40
anzhelika [568]
\textbf{Hello Friend}


Step-1 :- Arrange in order

=> 16 , 29 , 40 , 66 , 94


There are 5 numbers , the middle term will be Median .


Here , middle term is = 40 .


\bold{Median:} 40





Hope It helps You. ^_^
7 0
3 years ago
Read 2 more answers
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Fiesta28 [93]

Answer:

5 and 13

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a 51-inch television, the length of the screen's diagonal is 51 inches. If the screen's height is 25 inches,
DaniilM [7]

Answer:

44.452

Step-by-step explanation:

Using the Pythagorean theorem you can use:

51^2 = 25^2 + w^2

2601 = 625 +w^2

w^2 = 1976

w = 44.452

6 0
2 years ago
Read 2 more answers
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