Answer:
Solution given:
A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm
and
base[b]PR=60cm.
perpendicular [P]= QR
<u>by</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>
<u>h²</u><u>=</u><u>p²</u><u>+</u><u>b²</u>
80²=QR²+60²
QR²=80²-60²
QR=
QR=20
=52.9=53cm
<u>QR</u><u>=</u><u>5</u><u>3</u><u>c</u><u>m</u><u>.</u>
Answer:
So, the volume V is
Step-by-step explanation:
We have that:
We have the formula:
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
We use software to draw the graph.
The y intercept is going to be 10x
It isn't because, it isn't consistent, and it doesn't follow any of the other answer choices. :)
Answer:
P(W|B) = 0.58
Step-by-step explanation:
The conditional probability formula tells you ...
P(W | B) = P(W&B) / P(B)
= 0.29/.050
= 0.58
