1 Convert 12\frac{2}{3}12
3
2
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
\frac{12\times 3+2}{3}\times 3\frac{1}{4}
3
12×3+2
×3
4
1
2 Simplify 12\times 312×3 to 3636
\frac{36+2}{3}\times 3\frac{1}{4}
3
36+2
×3
4
1
3 Simplify 36+236+2 to 3838
\frac{38}{3}\times 3\frac{1}{4}
3
38
×3
4
1
4 Convert 3\frac{1}{4}3
4
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
\frac{38}{3}\times \frac{3\times 4+1}{4}
3
38
×
4
3×4+1
5 Simplify 3\times 43×4 to 1212
\frac{38}{3}\times \frac{12+1}{4}
3
38
×
4
12+1
6 Simplify 12+112+1 to 1313
\frac{38}{3}\times \frac{13}{4}
3
38
×
4
13
7 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
\frac{38\times 13}{3\times 4}
3×4
38×13
8 Simplify 38\times 1338×13 to 494494
\frac{494}{3\times 4}
3×4
494
9 Simplify 3\times 43×4 to 1212
\frac{494}{12}
12
494
10 Simplify
\frac{247}{6}
6
247
11 Convert to mixed fraction
41\frac{1}{6}41
6
1
41 and 1/6
Answer:
8
Step-by-step explanation:
4-3+7=8
Answer: 5 feet
Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.
Top and bottom of the window are opposite, so they have the same measure of 3 feet.
One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.
Answer: 12.10
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula to calculate the z-score :-
For x= 5 degrees
For x= 10 degrees
The P-value : 
In percent , 
Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because 
will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality. 
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.
