Answer:
The angle that is supplementary to angle ∠ Z2 is 136°
Step-by-step explanation:
Given as :
∠ Z2 = 44
Let The supplementary to ∠ Z2 = ∠x
∵ For Supplementary angle , measure of Two angles = 180°
Or, ∠x + ∠ Z2 = 180°
Or, ∠x + 44° = 180°
Or, ∠x = 180° - 44°
So, ∠x = 136°
Hence The angle that is supplementary to angle ∠ Z2 is 136° Answer
Answer:
Amount after 8 month (A) = $3775 (Approx)
Step-by-step explanation:
Given:
Amount invested (P) = $3,700
Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly
Number of month (n) = 8 month
Find:
Amount after 8 month (A)
Computation:
Amount after 8 month (A) = $3775 (Approx)
Answer:
99% confidence interval for the mean value from the random number generator is a lower limit of 85.87 and an upper limit of 110.93.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 98.4
sd = 16.3
n = 15
degree of freedom (df) = n - 1 = 15 - 1 = 14
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 14 df and 1% significance level is 2.977.
E = t×sd/√n = 2.977×16.3/√15 = 12.53
Lower limit = mean - E = 98.4 - 12.53 = 85.87
Upper limit = mean + E = 98.4 + 12.53 = 110.93
99% confidence interval for the mean is between 85.87 and 110.93
Answer: D
Step-by-step explanation:
![\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{4x+1}](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5Cright%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B2x%7D%7D%7B4x%2B1%7D)
.
This eliminates A and B.
Also, the domain excludes when the denominator equals 0, which in this case, makes the answer D
