Answer:
Length of rectangle = 14 meters
width of rectangle = 8 meters
Step-by-step explanation:
Let the length of rectangle be x meters
width of the triangle is (x - 6) meters
Area of the rectangle is Length x width
112m² = x * (x -6)
112 = x² - 6x
x² - 6x - 112 = 0
x² - 14x + 8x - 112 = 0
x (x - 14) + 8 ( x - 14) = 0
(x - 14)(x + 8) = 0
x - 14 = 0 x + 8 = 0
x = 14 x = -8
width can't be negative value
Therefore,
Length of rectangle = 14 meters
width of rectangle = 14 - 6 meters
= 8 meters
Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = = = , then
θ = ( ) ≈ 17.1° ( to the nearest tenth )
5.25% turns into 0.0525. <span>Then, you multiply 0.0525 and 1,000 together. This equals 52.50. </span><span>So, you would earn $52.50 at the end of the month in interest.</span>
Answer:
A sample size of 6755 or higher would be appropriate.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error M is given by:
90% confidence level
So , z is the value of Z that has a pvalue of , so .
52% of Independents in the sample opposed the public option.
This means that
If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Sample size of size n or higher when . So
A sample size of 6755 or higher would be appropriate.
Answer:
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Step-by-step explanation: