Answer:an expression to describe the total cost of a party is written as
y = 13.50p + 50
Step-by-step explanation:
The cost of renting the party room at a restaurant is $50.00. Snacks cost $13.50 per person. Assuming the total number of persons invited for the party is p, and the total cost of renting the party room is y. Therefore an expression to describe the total cost of a party is written as
y = 13.50p + 50
The $50 always remains constant
Answer:
Mai was moving faster.
As, she covered a greater distance in the same amount of time.
Step-by-step explanation:
Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.
Calculate the speed of both;
Speed defined as the rate at which an object covers distance.
Mai traveled 15 meters in 6 seconds
then;
Speed = 
Priya travels 22 meters in 10 second.
then;
Speed = 
Reason: Mai traveled faster because she covered a greater distance in the same amount of time.
<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.
Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)
