Answer:
Step-by-step explanation:
Given that X, the number of square feet per house is N(mean, 137)
Sample size = 19
Sample mean x bar =1350 sq ft
Since population std dev is given,
std error of sample = 
Since sample size is small, t critical value can be used
df = 18
t value for 80% two tailed = 1.333
Margin of error = ±1.333(std error) = ±
Confidence interval = sample mean ±margin of error
= 
Answer:
$23
Step-by-step explanation:
1 phone case = $12
4 phone cases = 12 * 4 = $48
Table = $25
4 phone cases - Table = 48 - 25 = $23
Answer:
f(x) = 4x² - 1
Step-by-step explanation:
The given function is; f(x) = x²
Now, when stretched vertically by a factor of 4, we have;
f(x) = 4x²
It's now shifted 1 unit down.. Thus, the final function will be;
f(x) = 4x² - 1
Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
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❖ h = 2 1/2
Divide the area by the base to get the height.
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