Answer:
2 CUPS
Step-by-step explanation:
Write two equations, where "b" = bottles, and "c" = cups
2b +5c = b +7c -->
b = 2c
THERE ARE 2 CUPS IN A BOTTLE
X - y = 7.....x = y + 7
x * y = 60
y(y + 7) = 60
y^2 + 7y = 60
y^2 + 7y - 60 = 0
(y + 12)(y - 5) = 0
y + 12 = 0
y = -12....not this one because it is negative
y - 5 = 0
y = 5 <===
x - y = 7
x - 5 = 7
x = 7 + 5
x = 12 <==
so ur 2 numbers are 12 and 5
Answer:
Number of 8th Graders = 360 - X
Step-by-step explanation:
As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.
As we know:
Total number of students on the A honor roll = 360
We are asked to calculate, number of students from 8th grade on the A honor roll.
So, let's assume that "X" represents the all the students who are on the A honor roll except 8th grade.
Mathematical Expression:
Number of 8th Graders = Total number of students on the A honor roll - X
Number of 8th Graders = 360 - X
So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.
-7 and 5. The product would be -35 and the sum -2.
Hope this helps
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, 
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.