Let S be the amount in a savings account.
Let m be the number of months.
General equation
S = 132 + 27m
Specific question
July is the 7th month of the year including both January and July.
S = 132 + 7*27
S = 132 + 189
S = 321
Reasonableness?
Good question. You could estimate an answer.
Start with 150 dollars and say that you add 25 a month.
7 * 25 = 175
S = 150 + 175 = 325 All of this was done in my head. Since the exact answer obtained using the formula is 321, I think that's pretty reasonable using my estimate is a guide.
Answer:
a = 20
Step-by-step explanation:
The mean is calculated as
mean = 
=
= 
Then
= 27 ( multiply both sides by 5 to clear the fraction )
115 + a = 135 ( subtract 115 from both sides )
a = 20
Answer:
The answers are as follows:
Step-by-step explanation:
A --> (-1,0) , x-axis
B --> (2,-3) , Q IV
C --> (4,2) , Q I
D --> (-1,5) , Q II
E --> (-3,-4) , Q III
Answer:
D
Step-by-step explanation:
Let the number of rows be x
And the numbers of holes in each be y
xy = 32
x and y must be factors of 32
From options stated
4 is the only factor of 32
Hence option D is correct
Answer:
6
Step-by-step explanation:
This is calculated as using z score
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Hence,
We find the z score of 95.44% confidence interval
95.44% = 1.9991
Hence.
1.9991 = ( X = 22) - (X = 10)
1.9991 = (22 - 16/ σ) - (10 - 16/ σ)
1.9991 = (6/σ - (-6/σ)
1.9991 = ( 6/σ + 6/σ)
1.9991 = (6 + 6/σ)
1.9991 = 12/σ
Cross Multiply
= 1.9991 × σ = 12
σ = 12/1.9991
= 6.00270121555
Approximately 6
Hence, the standard deviation is 6