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9966 [12]
3 years ago
6

Sam solved the equation 2(x - 4) = 4x + 3x + 12. His work is shown.

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0
Step 2 because he/she took out the parentheses when he/she wasn’t supposed to!
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A box contains four 75 W lightbulbs, three 60 W lightbulbs, and three burned-out lightbulbs. Two bulbs are selected at random fr
Law Incorporation [45]

Answer:

a. 0.689

b. 0.8

c. 0.427

Step-by-step explanation:

The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial.

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

where N=4+3+3=10

n=2

k=4

a.

P(X>0)=1-P(X=0)

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

P(X=0)=4C0(6C2)/10C2=15/45=0.311

P(X>0)=1-P(X=0)=1-0.311=0.689

P(X>0)=0.689

b.

The mean of hyper-geometric distribution is

μx=nk/N

μx=2*4/10=8/10=0.8

c.

The variance of hyper-geometric distribution is

σx²=nk(N-k).(N-n)/N²(N-1)

σx²=2*4(10-4).(10-2)/10²*9

σx²=8*6*8/900=384/900=0.427

6 0
3 years ago
Jada is standing 10 feet from the base of the tree and spots a nest sitting on a branch. the angle of elevation from the ground
kogti [31]

Answer:

h = (10 ft)(1.428) = 14.28 ft

Step-by-step explanation:

Represent the height of the nest by h.  This is the vertical side of a triangle.  The horizontal side is 10 ft.

The following relationship is true:

tan 55 degrees = (opposite side) / (adjacent side), and in this case,

tan 55 degrees = h / 10 ft, so that:

h = height of nest = (10 ft)(tan 55 degrees), or

h = (10 ft)(1.428) = 14.28 ft

8 0
3 years ago
Type the correct number to complete each ratio table
sergejj [24]

Step-by-step explanation:

The correct numbers are

4 = 5

8 = 10

12 = 15

16 = 20

20 = 25

Hope it will help :)❤

7 0
2 years ago
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Find the measure of the indicated angle of 27 and 11
Vikentia [17]

Answer:

I think it's 39 I'm wrong but that's what I think sorry

6 0
3 years ago
PLZ HELP I'M STUCK TY!
Sever21 [200]

Answer: A. Just took my best guess

8 0
3 years ago
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