Answer:
11
Step-by-step explanation:
(-2)^2-2(-2)+3
(-2)(-2)+4+3
4+4+3
8+3
11
Answer:For B I have 42 minutes.
Step-by-step explanation:
First 4 people x 8 minutes per person = 32.
Plus the additional 10 minutes = 42 minutes
To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet
Answer:
18
Step-by-step explanation:
The interior and exterior angle of a polygon is supplementary
let interior be I
let exterior be E
I + E = 180
Since the interior angle is 8 times that of an exterior angle,
8E + E = 180 [replacing I with 8E]
9E = 180
E = 20
The exterior angle is 20 degrees
I + E = 180
I + 20 = 180
I = 160
The interior angle is 160 degrees.
The equation to find the interior angle of a polygon with 'n' number of sides is:
I = ( (n − 2) × 180 ) ⁄ n
We know the interior angle, so plug it in and solve for n:
160 = ( (n − 2) × 180 ) ⁄ n
160n = (n − 2) × 180
160n = 180n − 360
-20n = -360
n = 18
Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
s = 
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
