Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
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Step-by-step explanation:
Answer:
What equation? Please include the equation
It would be:
-.72 < -5/8 < -.6 < -7/12
Answer:
![\mu_{x} = 64, \sigma_{x} = 12.83](https://tex.z-dn.net/?f=%5Cmu_%7Bx%7D%20%3D%2064%2C%20%5Csigma_%7Bx%7D%20%3D%2012.83)
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation ![\sigma_{x} = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\mu = 64, \sigma = 77, n = 36](https://tex.z-dn.net/?f=%5Cmu%20%3D%2064%2C%20%5Csigma%20%3D%2077%2C%20n%20%3D%2036)
So
![\mu_{x} = 64, \sigma_{x} = \frac{77}{\sqrt{36}} = 12.83](https://tex.z-dn.net/?f=%5Cmu_%7Bx%7D%20%3D%2064%2C%20%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B77%7D%7B%5Csqrt%7B36%7D%7D%20%3D%2012.83)