Answer:
x + 2y = 8.
Step-by-step explanation:
Line goes through (-4, 0) and (4, -4).
The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.
Since we are looking for the equation of the line parallel to that line, the slope will be the same.
We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.
3 = (-1/2) * 2 + b
b - 1 = 3
b = 4.
So, we have y = -1/2x + 4.
1/2x + y = 4
x + 2y = 8.
Hope this helps!
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190
Answer: first number is 190
In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What
julia-pushkina [17]
Answer:
The 65th percentile is between 73 and 74
Step-by-step explanation:
Rearrange the ungrouped data in ascending order: 65,66,67,68,71,73,74,77,77,77
The 65th percentile is 65/100 of N ( N = 10) = 65/100 × 10 = 6.5
The 65th percentile is the 6.5th term. The 6th term is 73 and the 7th term is 74, the 6.5th term is between the 6th and 7th term
The 65th percentile is between 73 and 74
Answer:
The correct answer is the last option, that is, 
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 
In order for amount of money to be equal in accounts of both the runners, we set up:

Upon rewriting the left hand side using commutative law, we get:

Therefore, we can see that the last option is the correct answer.
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as

Generally 

Generally from the z-table

So

Converting to percentage

=>
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

=> 
From the normal distribution table the z-score for 0.06 at the lower tail is

So

=>