Answer:
17
Step-by-step explanation:
Let x represent the smaller integer. Then we have ...
(x +1)² +(x +2)² = 40x +5
2x² +6x +5 = 40x +5
x² -17x = 0 . . . . . subtract (40x+5), divide by 2
x(x -17) = 0 . . . . . factor
The solution of interest is x = 17.
The smaller integer is 17.
Answer:
133/152
Step-by-step explanation:
The probability of 2 independent events is the product of the individual events. Independent means the first event has no effect on the probability of the second event. Since we are replacing the first marble, the first even has no effect on the probability of the second event.
There are 48 total marbles
Let A = pulling a blue marble
Let B = pulling a red marble
So
P(A) = 14/48
P(B) = 19/48
and
P(A then B) = (14/48)(19/48) = 266/2,304 = 133/1,152
Answer:
90% confidence interval for the population mean is between a lower limit of $92.18 and an upper limit of $107.82.
Step-by-step explanation:
Confidence interval for a population mean is given as mean +/- margin of error (E)
mean = $100
sd = $25.20
n = 30
degree of freedom = n-1 = 30-1 = 29
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 29 degrees of freedom and 10% significance level is 1.699
E = t×sd/√n = 1.699×25.20/√30 = $7.82
Lower limit of population mean = mean - E = 100 - 7.82 = $92.18
Upper limit of population mean = mean + E = 100 + 7.82 = $107.82
90% confidence interval is ($92.18, $107.82)
Find the total of male students:
4 + 6 + 2 + 2 = 14 total males.
There are 2 male juniors.
The probability of a male being a junior is 2/14 = 1/7 = 0.143 = 14.3 = 14%
Answer:
- sign between 9 and 64 under root, it should be + sign
Step-by-step explanation:
(-4)*(-8)(2)= 64
It should read x= √9+64 but not √9-54 which lead to incorrect solution
