Answer:
This interval in the form of margin of error is expressed as 0.45 ± 0.15.
p = 0.45
MOE = 0.15
Step-by-step explanation:
A confidence interval is calculated from a sample statistic (in this case, a sample proportion) and substracted or added a margin of error (MOE) for the lower and upper bound respectively.
This can be expressed as:
If we substract the upper bound from the lower bound, we can calculate the margin of error as:
With this information, we can calculate the sample proportion p:
Then, we can express the confidence interval as:
The two triangles are congruent because every corresponding side has the same length, & every corresponding angle has the same measure. In short she's correct
Answer:
$3007.26
Step-by-step explanation:
Step one:
given data
Principal= $2000
rate= 6%= 0.06
time= 7years
Required:
The final amount A
Step two:
the expression for the compound interest is
substituting we have
Answer:
(1, -3)
First option
Step-by-step explanation:
The minimum point on the graph is also the <u>vertex</u>.
The quadratic function equation is given in <u>vertex form</u>, which is 
Using this equation, the vertex is (-h, k).
Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.
In f(x) = (x - 1)² - 3 using (-h, k) is:
h = -1 => -h = 1
k = -3
Therefore the vertex is (1, -3).
Answer:
7 feet
Step-by-step explanation:
