Answer:
6 times larger
Step-by-step explanation:
First, find the area of both.
Mary: 4*5.5=22
Lisa: 24*5.5=132
Then find what multiplied by 22 would equal 132. This is easy because it's a multiple-choice question.
22*20=440, so A is incorrect
We already know they are not equal, so then B can be crossed out
22*3=66, C would be incorrect
Leaving the only choice left to be the correct answer
22*6=132
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)
Answer:
90 Confidence Interval for the proportion = [ 0.216,0.334]
Step-by-step explanation:
The confidence interval for proportion formula =
p ± z × √p(1 - p)/n
Where p = x/n
x = 42
n = number of samples = 153
p = 42/153
p = 0.2745098039 ≈ 0.275
z = z score of 90% confidence interval = 1.645
Confidence interval =
0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153
= 0.275 ± 1.645 × √0.0013031046
= 0.275 ± 0.0593820985
Confidence Interval
= 0.275 - 0.0593820985
= 0.2156179015
≈ 0.216
= 0.275 + 0.0593820985
= 0.3343820985
≈ 0.334
90 Confidence Interval for the proportion = [ 0.216,0.334]
Answer: y = 432
Step-by-step explanation:
72 = y/6
y = 6 x 72
y = 432
Answer:
(8,21)
Step-by-step explanation:
Since both equations equal y, set both equaitions equal to each other
and solve for x
4x-11=x+13 , subtract x from both sides
3x-11=13, add eleven to both sides
3x=24, divide both sides by 3 to get x alone
x=8
Substitute x=8 into either equation to solve for y
y=4(8)-11
y=32-11
y=21
