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prohojiy [21]
3 years ago
14

A bin contains 72 light bulbs of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, f

ind the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary. (Hint: sampling with replacement = independent events)
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

0.4735

Step-by-step explanation:

10 defective, 62 not defective

P(good) = 62/72 = 31/36

All 5 good:

(31/36)⁵ = 0.4734738145

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Ethan's full backpack weighed too much. He took out a 4/8 pound electronic reader, a 2 ⅛ pound full bottle of water, and a ⅞ pou
Luba_88 [7]

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = 12\frac{1}{8}

4 0
3 years ago
Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.
zhenek [66]

Answer:

a is true and becomes complimentary as they both add up to 90 degree.

b. is true it is the only vertical angle group. As points AE, and BD cross and create these angles.

c is supplementary as both 3,4 together add up to 180

but each of these do not fit other description, as 5,1 would be also supplementary if 2 was in that group.

Step-by-step explanation:

Points 3, 4 as a group and 3,2,1 as a group and 2,1,5 as a group are each supplementary as each group add up to 180 degree. 1,5 on its own is not supplementary

Points 2 is complimentary on its own and also 1,5 combined are complimentary so this is true and  1,5 on its own as a group is complimentary.

Points 3,5 become vertical angles as a group.

Angles A:B + D:E are also vertical angles this shows points 1,2 and 4 as a group of vertical angles.

Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down

8 0
3 years ago
PLEASE HELP!! I'm stuck on this
Kamila [148]
T=0=>initial
s (0)=4.5=9/2
=>s(t)=-16t^2+64+9/2
use s(-b/2a) to find height
it will take -b/2a seconds to reach that height
n I tell a,b coefficients of some
Follow for Solutions.
4 0
3 years ago
Plz help I will give brainliest
arsen [322]

Answer:

#8. M = -8/9

#9. M = 3/5

6 0
2 years ago
Can you help me solve systems of equations by elimination step by step<br> 6x+y=15<br> -7x-2y=-10
Anna71 [15]

Answer:   (4, -9)

<u>Step-by-step explanation:</u>

Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  <em>I will be eliminating y</em>

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

-7x - 2y = -10   → 1(-7x + 2y = -10)   →  <u> -7x - 2y = -10</u>

                                                             5x        = 20

                                                               x         =  4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

24  + y = 15

         y  = -9


<u>Check:</u>

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

-7(4) - 2(-9) = -10

-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  \checkmark

6 0
3 years ago
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