I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
Answer:
Step-by-step explanation:
3 and 2/5
(aka A)
Answer:
True
Step-by-step explanation:
Given that:
M = 27, sample of n = 36 scores, µ = 30 and σ = 18.
The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:
Given that M = 27, this means that x = 27. Therefore:
This sample mean corresponds to a z-score of z = –1.00.
Answer:
$181.44
Step-by-step explanation:
First, you convert the hours worked to minutes <em>(h)×60=(min)</em>.
4 × 60 = 240 4.5 × 60 = 270 7.25 × 60 = 435
Then, you add the minutes worked together.
240 + 270 + 435 = 945
Then, convert the total minutes worked to ours.
945 ÷ 60 = 15.75
Finally, multiply 11.52 (the pay per hour) by 15.75 (the total hours worked)
$11.52 × 15.75h = $181.44
