Answer:
6 sqrt(2)
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 45 = 6 /x
Multiply each side by x
x sin 45 = 6
Divide each side by sin 45
x = 6 / sin 45
We know that sin 45 = sqrt(2)/2
x = 6 / (sqrt(2) /2)
x = 12/ sqrt(2)
Multiply by sqrt(2)/ sqrt(2)
x = 12 sqrt(2)/ (sqrt(2)*sqrt(2))
x = 12 sqrt(2)/2
x = 6 sqrt(2)
It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)
Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.
(2/5)×(20/20) = 40/100 = 40%
You can also get there via decimals.
... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%
Or, you can multiply by 100%.
... (2/5)×(100%) = (200/5)% = 40%
Answer:
a) 
And we can find this probability with the complement rule:
b) 
And if we use the z score we got:
Step-by-step explanation:
Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:
Where 
and 
Part a
We are interested on this probability
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with the complement rule:
Part b
For this case we select a sample of n =44 and the new z score formula is given by:
And if we find the z score we got:
And if we use the z score we got:
This document has the answer
Answer:
=
−
7
/1
1 in fraction form
Step-by-step explanation:
STEP 1: Multiply by 1
1
+
1
0
+
2
5
=
1
8
+
1
0
+
2
5
=
1
8 STEP 2: Combine like terms
+
1
0
+
2
5
=
1
8
1
1
+
2
5
=
1
8 STEP 3: Subtract 2
5 from both sides of the equation
11x+25=18
1
1
+
2
5
−
2
5
=
1
8
−
2
5
STEP 4: Simplify by subtracting the numbers
1
1
+
2
5
−
2
5
=
1
8
−
2
5
11x+25−25=18−25
1
1
=
1
8
−
2
5 1
1
= -7
STEP 5: Divide both sides of the equation by the same term 1
1
=
−
7 11x/
11x = −7/
1
1 (set up as a fraction) STEP 6: Cancel terms that are in both the numerator and denominator
= −
7
/1
1 SOLUTION
= −
7
/1
1
