5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Answer:
1) 18^2 = 324
324 x 3.14 = 1,017.36 in2
2) half of 25 is:
12.5
12.5^2 = 156.25
156.25 x 3.14 = 490.625 m2
Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
=12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
Answer:
Step-by-step explanation:
It's easier to start by putting this into fraction form.
1 1/4
Then put the fraction into a decimal.
1 1/4 is the same as 1.25
After that, turn the decimal into a percentage.
1.25 turns into 125%
3x²+10x=8
3x²+10x-8=0
(3x-2)(x+4)=0
x=2/3 or -4
☺☺☺☺