Answer:
In 2012, a restaurant served 27,500 customers and in 2014, the restaurant served 29,000 customers.
First determine the increase in the number of customer served each year.
the number of customer increase in each year is, 
therefore, the linear model is;
y = 750x+ 27500 , where y represents the number of customers that the restaurant serves x years after 2012.
Now, to predict the number of customers that the restaurant will serve in 2020 is;
since, x = 2020-2012 = 8 years
or
therefore, the number of customers that the restaurant will serve in 2020 = 33,500
Answer:
D
Step-by-step explanation:
Izan can use the slope formula to show that the slope of KL and MN are equal.
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Answer:
18 L
Step-by-step explanation:
Given : she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution.
To Find: How much of the 67% solution must she use?
Let x = amount of 67% solution needed
Then 42-x=amount of 46% solution needed
Now we know that the pure herbicide in the 67% solution
So, pure herbicide = (0.67x)
The amount of pure herbicide in the 46% solution (0.46(42-x))
Now 42 liters of a 55% solution = (0.46(42-x))
So,
Amount of 67% solution + Amount of 46% solution = 42 liters of a 55% solution
⇒0.67x+0.46(42-x)=0.55*42
⇒0.67x+19.32-0.46x=23.1
⇒0.21x=3.78
⇒
⇒x = 18 liters
Hence she use 18 liters of the 67% solution
76÷4= ; x=19, you divide 76 by 4 because if he is 1/4 then it would be a group of one of the 4's, thus saying ehen you divide 76 by 4, it equals 19, so he is 19 years old, you could also do 19×4 and 22×4 to see which equals 76.
