Answer:
89 is the maximum number of guests that can be invited within budget .
Step-by-step explanation:
The cleaning charges = $55
Total budget available = $3350
Cost per guest = $37
Now, actual budget available for guest = Total budget - Cleaning Fee
= $3350 - $ 55 = $3,295
Now, cost per head =$ 37
So, number of guests (n) possible in the budget
⇒ n = (Total guest Budget)/ Cost per head
= $3,295 / $37 = $89.05
or, n = $89.05
So, 89 is the maximum number of guests that can be invited within budget .
Answer:
Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.
Step-by-step explanation:
We know that: in order to ride a roller coaster,a rider must be greater than 49 inches tall.Jeff is 45 inches tall.
We have the next inequalitythats:

Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.
Answer:
Andrews residence is higher than Lisa's residence
Step-by-step explanation:
<u></u><u>The correct answer is 47.5%, or 0.475.</u>
Explanation:
The empirical rule states that in any normal distribution:
68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.
The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:
(700-500)/100=200/100=2.
We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:
95/2 = 47.5%, or 0.475.