Answer:
6000
Step-by-step explanation:
Answer:
480
Step-by-step explanation:
10*6=60
60*8=480
If my math is correct. I am sorry if I am wrong
The purpose of solving an algebraic expression in an equation is to find the unknown variable. When two expressions are equated, they form an equation and therefore, it becomes easier to solve for the unknown terms. To solve an equation, place the variables on one side and the constants on the other side.
Sure hope this helps
<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units
<u>Solution-</u>
As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with
x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)
Then, substituting these values in the plane equation to get the z parameter,
cos t + 2sin t + z = 2
⇒ z = 2 - cos t - 2sin t
∴ 


As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π
∴ Arc length



Now evaluating the integral using calculator,

From the histogram it can be seen that
1.) the data is not qualitative. (<span>Qualitative data is typically descriptive <span>data and is not measured by a number but age is measured by a number).
2.) </span></span><span>The data is not skewed right. (</span><span>For a right skewed distribution, the tail of the distribution on the right hand (positive) side is longer than on the left hand side).
3.) </span><span>There were 31 people at the party. (The total number of people at the party from the histogram is given by the sum of the heights of the bars of the histogram = 5 + 13 + 8 + 3 + 2 = 31).
4.) </span><span>There were children at the party. (From the histogram, there were 5 poeple aged 20 and below, which we can describe as children).
5.) </span><span>The most common age of the attendees was not 13 years old. (The mode (i.e. most occuring frequency) of a distribution is represented by the height of the tallest bar of the histogram. From the histogram, the tallest bar represents the ages between 21 to 40)
6.) </span><span>The majority of the people at the party were less than 61 years old. (From the histogram, there were 5 + 13 + 8 = 26 people below the age of 61 in the party and 3 + 2 = 5 people above the age of 60 in the party).
Therefore, the </span><span>statements that must be true according to the histogram are
</span><span>There were 31 people at the party.
</span><span>There were children at the party.
and
</span><span>The majority of the people at the party were less than 61 years old.</span>