Answer:


So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Step-by-step explanation:
For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:


So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Answer:
actually no triangle exists with the given angle measure. more than ONE unique triangle exists with the given angle measures. exactly one unique triangle exists with the given angle measures
40g+300 is less than or equal to 5000
g is less than or equal to 117.5
So that is 117 guests max can be invited
Answer:
This is your answer.. you add exponents
99 and 59
X=big number
X-40 = small
X+ x-40 =158
2X -40=158
2X =198
X=99. Big number is 99
99-40 =59
99+59=158