Answer: 95% confidence interval would be (1341.2,1458.8).
Step-by-step explanation:
Since we have given that
n = 64
Average = 1400
Standard deviation = 240
We need to find the 95% confidence interval for SAT scores.
So, z = 1.96
So, Interval would be
Hence, 95% confidence interval would be (1341.2,1458.8).
You want to combine like terms :). This means the terms that are the same will be added or subtracted depending on their sign at the beginning.
1) x^2 +x+3-4x
Rearrange first to put like terms together
X^2 +x-4x +3
Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!
Answer:
(1/2)x+3/2
or
0.5x+1.5
Step-by-step explanation:
Hopefully you mean to have that dot between f and g closed because if it open it means something totally different.
So closed dot means multiplication
Open dot means you are composing a function with another one
So here you are just doing (x+3) * (1/2)
Just use distributive property (1/2)x+(1/2)(3)
(1/2)x +3/2
or
0.5x+1.5
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 20
The sample mean is 
The standard deviation is 
Generally the standard error of the mean is mathematically represented as
=> 
=>
Answer:
$4000
Step-by-step explanation:
Assuming a = money invested at 9%
Assuming b = money invested at 8%
then we can form am equation from the question given
1) a + b = $10000, also
0.09a + 0.08b = $860 -> multiply by 100
2) 9a + 8b = $86000
Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have
3) 8a + 8b = $80000, now we subtract 3 from 2
9a + 8b = $86000
-8a - 8b = -$80000
a = $6000.
Then, we plug this in any of the first 2 equations, to get b
9 * $6000 + 8b = $86000
$54000 + 8b = $86000
8b = $86000 - $54000
8b = $32000
b = $32000/8
b = $4000.
Therefore, he invested $4000 at 8%
