Answer:
The width of the window should be 
and the height of the window should be 
Step-by-step explanation:
we know that
The circumference of a semicircle (window) is equal to
we have that
substitute and solve for r
so
the width of the window is equal to the diameter of the semicircle
so
The width of the window should be 
and the height of the window should be
Answer:
$198,000
Step-by-step explanation:
Since Mr. and Mrs. Suralbo are married and filing jointly, they would fall into the tax slab of 35% as their taxable income ranges between $414,701 to $622,050.
Taxable income = $568,986
Tax rate = 35%
Income tax due = $568,000 * 35/100
= $198,000
Thus, the income tax due for Mr. and Mrs. Suralbo would be $198,000.
Answer:
false
Step-by-step explanation:
because
-3(x-5)
-3x+15
Answer:
The 95% confidence interval = (98.225, 98.655)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × standard deviation/√n
Where Mean = 98.44°F
Standard deviation = 0.30°F
n = number of samples is 10
Because our number if samples is small, we use the t score confidence interval formula
Mean ± t × standard deviation/√n
Degrees of Freedom = n - 1
= 10 - 1 = 9
We find the t score of 95% confidence interval and degrees of freedom 9
= 2.262
Hence,
Confidence interval = 98.44 ± 2.262 × 0.30/√10
= 98.44 ± 0.214592162
Confidence Interval
98.44 - 0.214592162
= 98.225407838
≈ 98.225
98.44 + 0.214592162
= 98.654592162
≈ 98.655
The 95% confidence interval = (98.225, 98.655)
Answer:
-5
Step-by-step explanation:
The initial value would be the value when x=0. Substituting 0 for x,
y = -2(0)-5
y = 0 - 5
y = -5
