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pogonyaev
2 years ago
11

How do you solve 1/3x = 20 to find x

Mathematics
1 answer:
Alex2 years ago
7 0
1/3x=20

1st step do the opposite of 1/3x to get it by itself. So you would do 1/3x *3/1 than you would do 3/1 *20. What you do to that side you do to the other.

2nd step 20*3=60

3rd You can check your answer by doing 1/3 *60=20

I plugged the answer in the variable to Check it
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Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
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Answer:

6(x+5)

Step-by-step explanation:

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In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th
Salsk061 [2.6K]

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

8 0
3 years ago
If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
F = 0.272727...<br>100f = (100)(0.272727...)<br>100f = ?​
koban [17]

Answer:

<h2>100f = 27.272727...</h2>

Step-by-step explanation:

f = 0.272727...

100f = (100)(0.272727...)

100f = 27.272727...

6 0
3 years ago
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