X = 0
<span>6y - 5x = 0 so it intersects x=0 at (0,0)
</span>
<span>x + 3y = 21
</span>so it intersect x=0 at (0,7)
multiply by 2
<span>2x + 6y = 42
subtracting 6y - 5x = 0
7x = 42
x = 6
so the third line intersects w second line at (6,5)
6. area of triangle = 1/2*base*height
= 1/2*7*6
=21
7. volume = volume of 2 cones
cone volume = 1/3*pi*radius^2*height
lower cone: radius=6, height=5
upper cone: radius=6, height=7-5=2
volume = 1/3*pi*6^2*(5+2)
=84pi
=263.89
</span>
Answer:
For random samples of 100 seniors, 68% of the sample means fall between 340 and 520
Step-by-step explanation:
As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).
Hope this helps!
:)
Answer:
a) 10/3
Step-by-step explanation:
2x - 6 + 5x = 1/3 x - 9 + 2y
7x - 6 = 1/3 x - 9 + 2y
or
2y = 7x - 1/3 x - 6 + 9
2y = 21/3 x - 1/3 x + 3
2y = 20/3 x + 3
y = 20/6 x + 3/2
y = 10/3 x + 3/2
Y = mx + b where m = slope
In this case slope m = 10/3
So far, Jackie has read 217 pages
In order to determine the total number of pages Jackie read, we would have to determine the number of pages she read each day and add these pages together
- Number of pages she read on Monday =
x 252 = 126 pages - Number of pages she read on Tuesday = 28 pages
- Number of pages she read on Wednesday =
x 252 = 63 pages
The total number of pages she has read so far = 126 + 28 + 63 = 217 pages
A similar question was solved here: brainly.com/question/24708342?referrer=searchResults
