Step-by-step explanation:
Let x be the entry fee.
Let y be the cost of each ticket in dollars.
Since Keith paid the entry fee and 10 tickets,
we have x + 10y = $30.
Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
Answer:
Mean =
Standard deviation =
Step-by-step explanation:
x P(x)

33 0.02 0.66 21.78
34 0.06 2.04 69.36
35 0.1 3.5 122.5
36 0.2 7.2 259.2
37 0.24 8.88 328.56
38 0.26 9.88 375.44
39 0.1 3.9 152.1
40 0.02 0.8 32
1 36.86 1360.9
We are supposed to find mean and standard deviation
Mean =
Standard deviation =
The answer to you question is c
Answer: 12.32%
Step-by-step explanation:
1.
is the original long side and
is the original short side.
2. The area of the original rectangle is
.
3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

4. And the new short side is:

5. The new area is:

6. The percentage of increase is calculated by substracting the new area and the original area:

7. The result is:
(0.1232)(100)=12.32%