Answer:
option 3 is neither option 2 is complementary the first is supplementary
Step-by-step explanation:
Complementry is any angle that is an angle below 90 degrees and supplementary is any angle higher than 90 degrees but less then or equal to 180 degrees
The least common multiple<span> (</span>LCM<span>) of numbers is the smallest number that they all can divide evenly into.
2 = 1 </span>× 2
10 = 1 × 2 × 5
6 = 1 × 2 × 3
Hence, the least common multiple is 1 × 2 = 2.
Answer:
(0, 32.1) (1, 29.8)
(29.8 - 32.1)/(1-0)= -2.3/1= -2.3
y - 32.1 = -2.3(x - 0)
y - 32.1 = -2.3x + 0
y = -2.3x + 32.1
Step-by-step explanation:
It is linear
work is shown above
Complete question is;
A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained a simple random sample of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be six hours with a standard deviation of three hours. The researcher also obtained an independent simple random sample of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be four hours with a standard deviation of two hours. Let x¯1 and x¯2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively. Assume two-sample t procedures are safe to use?
what is the 95% confidence interval a researcher wishes to compare the average amount of time spent in extracurricular?
Answer:
CI = (0.755, 3.245)
Step-by-step explanation:
For SRS of 60;
Mean: x1¯ = 6
Standard deviation: s1 = 3
For SRS of 40;
Mean: x2¯ = 4
Standard deviation; s2 = 2
Critical value for the confidence interval of 95% is: t = 1.96
Formula for the CI is;
CI = (x¯1 - x¯2) ± t√[(s1²/n1) + ((s2)²/n1)]
Plugging in the relevant values, we have:
CI = (6 - 4) ± 1.96√[(3²/60) + ((4)²/40)]
CI = 2 ± 1.96√[(3²/60) + ((4)²/40)]
CI = 2 ± 1.96√0.55
CI = 2 ± 1.245
CI = [(2 - 1.245), (2 + 1.245)]
CI = (0.755, 3.245)
Hello from MrBillDoesMath!
Answer:
0.5 x^4 + 12.5
Discussion:
Only the constant terms are "like" and can be combined. Nothing combines with x^4.
0.5 ( x^4 - 9) + 17 =
0.5 x^4 - 0.5 (9) + 17 = as 0.5(9) = 4.5
0.5x^4 - 4.5 + 17 =
0.5 x^4 + 12.5
Thank you,
MrB
