The slope (increase) is 0.26 and the y-intercept (start) is 67.6.
You could describe the temperature outside using this equation.
For example, at the beginning of the day, the temperature was 67.6. Then, it increase by 0.26 degree for every given amount of time (minutes or hours).
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer:
The answer is below
Step-by-step explanation:
An equation shows the relationship between two or more variables. An equation is a statement that shows the equality between expressions. An equation with infinitely many solution is when all numbers are solutions, that is there is no one solution. Example is: x + 3 = x + 3.
When each side of an equation has been simplified, equations that have the same coefficients and the same constants on each side have infinitely many solutions
Answer:
865
Step-by-step explanation: The set of possibilities are:
Subcommittee is of 4 people according to:
4 teachers 0 other member total possibilities 1
3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24
2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30
30*12 = 360
1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120
120*4 = 480
Total ways of committee 1 + 24 + 360 + 480 = 865
Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where 
is the sample mean , 
is the population standard deviation , n is the sample size and 
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean : 
hours
Population standard deviation : 
hours
z-value for 93% confidence interval: 
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-
Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
