Answer:
n = 9
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Given 3 angles and the remaining angle of 141° then there are
141(n - 3) angles of this size
Then
99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is
414 + 141n - 423 = 180n - 360
141n - 9 = 180n - 360 ( subtract 141n from both sides )
- 9 = 39n - 360 ( add 360 to both sides )
351 = 39n ( divide both sides by 39 )
9 = n
The polygon has 9 sides
28 is a multiple of 7 and also a factor of seven!
Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean, 
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
On September 25.2014 Colson Corp. sold 200.000 widgetrons for 5$ per unit.
200.000*5$=1.000.000$. Same day company was paid for 40% which is 400.000$.
The rest of the money he get paid in two equal parts on November 15.2014 and January 20.2015. So Calson Corp. was paid 300.000$ on November 15.2014 and 300.000$ on January 20.2015.
Answer:
Step-by-step explanation:
f"(x)=2
integrating
f'(x)=2x+c
f'(1)=2+c=4
c=4-2=2
f'(x)=2x+2
integrating
f(x)=2x^2/2+2x+a
f(x)=x^2+2x+a
f(2)=-2
(2)^2+2(2)+a=-2
4+4+a=-2
a=-2-8=-10
f(x)=x^2+2x-10
