Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for instead of that of 
is because represents the area under the normal curve where the confidence level 1 - (90%) did not cover which include both the left and right tail while is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as
substituting values
The 90% confidence level interval is mathematically represented as
substituting values
We'll first we need to know the in 1 cup there is 16 tablespoon.
so we could multiply we need 2 1/2 cup so that is 16 (1cup) + 16 (1cup) +8 (1/2 cup)= 40 tablespoons... and 1 tablespoon is 1.5 grams of fat then we multiply 40 times 1.5 .... This is equal to 60 grams fat
So there is 60 grams of fat in 2 1/5 cups of hummus.
Answer: 100 3 digit even number that begin with either 5 or 6
Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.
Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.
Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
