Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds
Step-by-step explanation:
10 / 1.25 = 8
8 minutes a mile
18 / 1.5 = 12
12 minutes a mile
Brielle will run the half marathon race faster.
8 x 13.1 =104.8
12 x 13.1=157.2
104.8 - 60=
44.8
60 seconds x .8= 48
Brielle will take 1 hour 44 minutes and 48 seconds
157.2 - 120 = 37.2
60 seconds x .2 = 12
Joshua will take 2 hours 37 minutes and 12 seconds
Answer:
2 does not belong
Step-by-step explanation:
We know that 2 cups of orange juice make 3 cups of fruit punch. So 2/3 cups of orange juice makes 1 cup of fruit punch. Due to this, you know that 2/3 belongs.
Answer:
The next time Mahnoor visits the restaurant, there is:
--31 % chance for country music
--47% chance of rock & roll
--22% chance of blues
Completed question;
Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 11 times, rock & roll 17 times, and blues 8 times. Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in.
Step-by-step explanation:
Given;
The number of times they were playing each type of music;
Country = 11 times
Roll = 17 times
Blues = 8 times
Total visits of Mahnoor = 11+17+8 = 36
Developing a frequency table and probability model for the type of music the restaurant is playing the next time Mahnoor walks in.
Probability = number of favourable outcomes ÷ total number of outcomes.
Music played | Frequency | Probability
country | 11 | 11/36 = .31 or 31%
rock & roll | 17 | 17/36 = .47 or 47%
blues | 8 | 8/36 = .22 or 22%
Problem:
find line perpendicular to 4x+7y+3=0 passing through (-2,1).
Solution:
We will first find the general form of the perpendicular line.
The perpendicular line has the form
7x-4y+k=0 .........................(1)
by switching the coefficients of x and y, and switching the sign of one of the two coefficients. This way, the slope of (1) multiplied by that of the original equation is -1, a condition that the two lines are perpendicular. The value of k is to be determined from the given point (-2,1).
To find k, we substitute x=-2, y=1 into equation (1) and solve for k.
7(-2)-4(1)+k=0
=>
k=14+4=18
Therefore the required line is
7x-4y+18=0
