See photo for solution and mark me as brainliest if i helped :)
A: although it seems like they are forming a 90º angle, they actually add up to a 89 º angle and therefore are not complementary
B: see photo
Answer:
1.97 ounces
Step-by-step explanation:
-The exponential decay function is given by the formula:
Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:
#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.
#We substitute and solve for the amount remaining after 21days of decay:
Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces
The answer should be 32.25
Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
