We know, equation of ellipse is given by :

Here,
(h,k) is centre of the ellipse = (0,0).
a = major axis = 8.
b = minor axis = 4.
Putting all given value in above equation, we get :

Hence, this is the required solution.
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:

(b)
Compute the variance of X as follows:

(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.
Answer:
<em>Let the dryer cost x.</em>
<em>Then, the washer costs (x+87)</em>
<em> </em>
<em>Together, they cost (x) + (x+87) = 787</em>
<em> 2x+87 = 787</em>
<em> 2x = 700 [subtract 97 from both sides]</em>
<em> x = 350 [divide both sides by 2]</em>
<em> </em>
<em>The dryer cost $350.</em>
<em> </em>
<em>Check: The washer cost $437. Together, they cost $787 [good to check, right?]</em>
<em></em>
<em><u>Hope this helps...</u></em>
Answer: 5
Step-by-step explanation:
5x7=35
35-4=31
Answer:
8
Step-by-step explanation: