The value of x° is 22° and exterior angle is 25.
Step-by-step explanation:
l can prove like this,
Here,2x°+(103-x)°=(6x-7)°...Being exterior angle
or,2x°+103°-x°=6x°-7°
or,x°+103°=6x°-7°
or,103°+7°=6x°-7°
or,5x°=110°
or,x°=110°÷5=22°
Now,
x°=22°
(6x-7)°=(6×22-7)°=125°
Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean ().
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an within 1.4 , it means that
Divide boths ides by 3 , we get
Hence, So must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an within 1.4 point of μ .
Answer: 15
<u>Step-by-step explanation:</u>
small: 5 12 13
middle: __ 36 39
large: 45 108 117
Notice that to get from the small to the large, multiplied by 9
5(9) = 45 12(9) = 108 13(9) = 117
That is because the sides are proportional
To get from small to middle, multiply by 3
5(3) = 15 12(3) = 36 13(3) = 39
To solve it using proportions:
Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
The answer to this problem is B