You know that the two angles make up a perfectly flat line, which is a 180<span>° angle. So we can create the equation:'
3x + 10 = 12x
Now solve for 'x'. Subtract 3x to both sides:
10 = 9x
Divide 9 to both sides:
x = 10/9
We want to find the smaller angle, so put this value in for 'x' in '3x + 10':
3x + 10
3(10/9) + 10
30/9 + 10
13 1/3</span><span>°</span>
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
=8x(cube)- 27 ÷ 4x(square) + 6x + 9
= 2x (3-2) + 6x - 3
= 2x + 6x - 3
= 6x(square) -3
Answer: Mean = 5.25
Variance = 1.3125
Standard deviation = 1.456
Step-by-step explanation:
The mean and variance of a binomial distribution with parameters n (number of trials) and p ( the probability of getting success in each trial) is given by :-
![\text{Mean}=np\\\\\text{Variance}=np(1-p)](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3Dnp%5C%5C%5C%5C%5Ctext%7BVariance%7D%3Dnp%281-p%29)
Given : The total number of enter a clothing store : n=7
The probability of a customer making a purchase= 0.75
Now,
![\text{Mean}=7(0.75)=5.25\\\\\text{Variance}=7(0.75)(0.25)=1.3125\\\\\Rightarrow\ \text{Standard deviation}=\sqrt{1.3125}=1.14564392374\approx1.1456](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D7%280.75%29%3D5.25%5C%5C%5C%5C%5Ctext%7BVariance%7D%3D7%280.75%29%280.25%29%3D1.3125%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BStandard%20deviation%7D%3D%5Csqrt%7B1.3125%7D%3D1.14564392374%5Capprox1.1456)
Answer:
the answer is 1/3 pie r2h
Step-by-step explanation:
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.
Also r=d/2 , where d is the diameter of the cylinder.
Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h
=π(r²/4)h
=(1/4) πr²h
Therefore the volume becomes one-fourth of the initial volume.