1/5 probability of spinning a red. 1/6 probability of rolling a four.
Explanation:
There is only one red and one four on the dice. After you find how many there are of each thing, just count how many sides there are and turn that into a fraction.
You can solve this by solving the equation given for x, this will tell you the range of numbers that would make the inequality true.
7x + 1 >= 8
7x >= 8-1
7x >= 7
x >= 7/7
x >= 1
So, x would have to be greater than or equal to 1. Given the set of numbers in the problem; the numbers 1, 3, 6 would satisfy the inequality. The answer is (A).
Let x equal the # of coach tickets
Let y equal the # of first class tickets
x + y = 16
260x + 970y = 10,550
Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.
x + y = 16
x = 16 - y
Now substitute the resulting expression into the other equation and solve for y.
260( 16 - y ) + 970y = 10,550
4160 - 260y + 970y = 10,550
Combine like terms
4160 + 710y = 10,550
Subtract 4160 from both sides
710y = 6390
divide by 710
y = 9
Substitute the value of y into the equation that we solved for x, x=17−y.
x = 17 - 9
x = 8
Therefore the answer is, 8 coach tickets and 9 first class tickets.
The z-score corresponding to the actual mean of x = 15.2 can be calculated using the formula: z = (x - mean) / (SD / sqrt(n) ), where n is the sample size.
z = (15.2 - 15) / (1.8/sqrt(87)) = 1.04
Based on a z-table, the probability that z > 1.04 (and thus, the probability that x > 15.2) is 0.1492. This corresponds to a significance value of 1 - 0.1492 = 0.8508. Therefore, if alpha > 0.8508 (for example, 90%, 95%, or 99% confidence interval), then we fail to reject the null hypothesis, and assume that there is no significant difference from the mean.