Answer:
Q=91, S = 153
Step-by-step explanation:
QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.
.45*10^4=4500
^ is the usual symbol for powers
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:
2
Step-by-step explanation:
Thus, we must multiply 200 by 2, so that the product becomes a perfect square. 400 is asquare of 20. So, the least number is 2, by which 200 must be multiplied so that the product becomes a perfect square.
