Answer:
25
Step-by-step explanation:
If 5/8 are boys then
1 - 5/8 = girls
3/8 = girls
3/8 of the total are girls
Let x = total
3/8 ( x) = 15
8/3 * 3/8 * x = 15 * 8/3
x = 40
There are 40 total students
5/8 are boys
5/8 * 40
25 are boys
From what I'm understanding of these questions, the biggest thing you need to answer these is the formulas for cylinders and triangular prisms. I'm not sure what the quantities are for either question so I'm going to work with made up numbers to give examples for the formulas. For number 2 with the cylinder, let's consider the formula first:
π × r2 × h <em>OR </em>pi (3.14) times radius squared times height
If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:
r = 2; double it, resulting in 4
pi x 4^2 x 6
3.14 x 16 x 6
= 301.44
Work with the actual numbers you have and you're good to go.
For number 3, reducing something by 1/2 means dividing by 2. Let's consider the formula and then work through another example:
1/2 x b x h x l <em>OR </em> 1/2 times base times height times length
For the sake of an example, I'll use 10 for the height, 15 for the base, and 20 for the length:
h = 10; reduce by 1/2, resulting in 5
1/2 x 15 x 5 x 20
= 750
Plug in your actual quantities, and remember your volume units. Hope this helps!
Answer:
a) The average of compy heights is 33.5 cm
b) The 68.3 % of all compy heights are in the interval:
(30.94,36.06)
Step-by-step explanation:
a) Meaning of the mean
The mean is a number expressing the central or typical value in a set of data.
The average of compy heights is 33.5 cm. If the select one height randomly its height will be in average 33.5 cm
b) Meaning of standard deviation
The standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.
The 68.3 % of all compy heights are in the interval
(33.5cm - 2.56cm, 33.5cm + 2.56cm) = (30.94,36.06)
It means that the 68.3 % of all data is in the interval:
(μ - δ, μ +δ)
Where: μ is the mean
δ is the standard deviation
4 hours and 25 minutes simplifies to 265 minutes
2 hours and 48 minutes simplifies to 168 minutes
Subtract the numbers: 265-168 = 97 minutes left
Convert back to hours and you have 1 Hour 37 minutes at the pool in the afternoon.
