Answer:
2(x+y+2)=49
Step-by-step explanation:
Answer:
And the 96% confidence is given by (110.06; 117.34)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=9.1 represent the sample standard deviation
n=29 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.96 or 96%, the significance is
and
, and the critical value would be
Replacing the info we got:
And the 96% confidence is given by (110.06; 117.34)
Answer:
$2,851.80
Step-by-step explanation:
Lets use the compound interest formula to solve:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 1.1% into a decimal:
1.1% ->
-> 0.011
Next, plug the values into the equation:


She will have $2,851.80 after 5 years.
Answer:
Option (B)
Step-by-step explanation:
CDEF is a quadrilateral having vertex C(2, 3), D(1, 2), E(4, 1), F(5, 3).
To prove that the given quadrilateral has a right angle, we will use the property of perpendicular lines.

where
and
are the slopes of the consecutive sides of the quadrilateral.
Since CD and DE are the consecutive sides of the quadrilateral, Carla is on the right track by finding the slopes of CD and DE.
Since Jonah is finding the slopes of opposite sides so he will not be able to use the property of perpendicular lines.
Option (B) will be the answer.