I’m not 100% sure but I think it’s because 20/25 can still be simplified further, while the other 3 can’t.
Answer:
39
Step-by-step explanation:
Let x = number of child tickets sold.
Cost of x child tickets is x * 5.30 = 5.3x.
"three times as many adult tickets as child tickets were sold"
Number of adult tickets sold: 3x
Cost of 3x adult tickets is 3x * 8.40 = 25.2x
Cost of all tickets is 5.3x + 25.2x = 30.5x
Cost of all tickets is $1189.50
30.5x = 1189.5
x = 1189.5/30.5
x = 39
Answer: 39
Answer:
3/8
Step-by-step explanation:
There are 3 numbers less than 4 (1, 2, and 3), so the denominator would be 8 for the total number of possibilites and the numerator would be 3.
The volume of the original cone is multiplied by 27
<h3><u>Solution:</u></h3>
We have been given that the height and radius of a cone are each multiplied by 3.
We need to find what effect it has on the volume of the cone.
<em><u>The volume of the original cone is given as follows:</u></em>
Now, the radius and height are multiplied by 3.
Therefore, the new radius is ‘3r’ and the new height is ‘3h’.
Hence the new volume is
original volume of cone x 27 = volume of new cone
Therefore, the original volume of cone is multiplied by 27
Answer:
78.383%
Step-by-step explanation:
The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.
Using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 7.2
z = 7.2 - 7.4/0.22
z = -0.90909
Probability value from Z-Table:
P(x = 7.2) = 0.18165
For x = 7.8
z = 7.8 - 7.4/0.22
z = 1.81818
Probability alue from Z-Table:
P(x = 7.8) = 0.96548
The probability of pools having an acceptable pH level(7.2 and 7.8)
= P(x = 7.8) - P(x = 7.2)
= 0.96548 - 0.18165
= 0.78383
Converting to percentage
0.78383 × 100
= 78.383%
The percentage of pools having an acceptable pH level is 78.383%
