Answer:
90
Step-by-step explanation:
your question is 54 is 60% of
what number?
if 54 is 60% of a number:
54/3=18.
18*5=90
90 is your answer
Answer:
The probability that it will weigh more than 904 grams = 0.9452
Step-by-step explanation:
Given -
Mean
= 920 grams
Standard deviation
=10
Let X be the weight of a certain brand of adult cereal
if we select one box of cereal at random from this population
The probability that it will weigh more than 904 grams =
= 
=
Putting 
=
Using Z table
= 1 - .0548
= 0.9452
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Answer:
Step-by-step explanation:
a)
- 6ˣ = 1/216
- 6ˣ = 1/6³
- 6ˣ = 6⁻³
- x = -3
b)
- 5⁻³ × 2⁻¹ =
- 1/5³ × 1/2 =
- 1/(125×2) =
- 1/250 or 0.004
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles
and
.

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

Now we have two equations. If we simplify them, we get these:

Now you can substitute
in the first equation for
in the second equation

Add
to both sides of the equation

Add
to both sides

Divide both sides by 3

Now, you can substitute
for
in the first equation and simplify.


Therefore,
, and 
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