I hope this helps you
disctirminant=b^2-4ac
b=11
a=5
c= -3
disctirminant =11^2-4.5. (-3)
disctirminant =121+60
disctirminant =181
x1=-11+ square root of 181/2.5
x2=-11- square root of 181/2.5
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
Museum admission fee = $12.50
Lunch = 5.95 + 1.25 + 1.69 = $8.89
Tax = 7.25% of 8.89 = 0.66675
Tip = 15% of 8.89 = 1.3335
Total spend for lunch = 8.89 + 0.66675 + 1.3335 = 10.89
Total spend for the day = 10.89 + 12.50 = $23.39
Answer:
You know 40 jokes and your friend knows 20 jokes
Step-by-step explanation:
Given you know twice as many jokes as your friend knows
Let the number of jokes your friend knows be x , then the number of jokes known by yourself will be 2x
Given together you both know 60 jokes
Total number of jokes = number of jokes known by yourself + number of jokes known by your friend
60 = x + 2x
x = 20
Therefore you know 40 jokes and your friend knows 20 jokes
Answer:
10.6%
Step-by-step explanation:
Normal curves are symmetrical. That means that on a standard normal distribution, the area less than -1.25 is the same as the area greater than +1.25. The total area under the curve is 1, so:
P = 1 - 0.894
P = 0.106
Approximately 10.6% of the area under the curve lies below -1.25.
