It would be equal to 1 7/8
-x^2 -2x-6
Multiply everything by negative one to make X positive
X^2+2x+6
Use quadratic formula
-2+-sq rt of 2^2-4(1)(6) / 2
-2+-sqrt of -20 /2
-2+ 2i/2. -2-2i/2
-2+i. -2-i
P(rolling a 4)=1/6
Explanation:
The probability of rolling a 4 or higher on a 6-sided number cube is 1/6
Answer: 1/6
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles
