<h3>
Answer: 0.8704</h3>
Explanation:
40% of the bulbs are pink, 60% are red
the probability of picking pink is 0.40 and the probability of not picking pink is 0.60
The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296
The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704
0.8704 converts to 87.04%
Answer:
1694
Step-by-step explanation:
The $43,329 in this question is just to trick you, so don't worry about this number.
We know her parents have already payed $9,966 for this years taxes.
But they need to pay a total of $11,660 for the year.
11,660 - 9966
=1694
Answer:
![2395.1\:\mathrm{m^3}](https://tex.z-dn.net/?f=2395.1%5C%3A%5Cmathrm%7Bm%5E3%7D)
Step-by-step explanation:
The volume of a sphere is given by
. Since a radius is half a diameter, the radius of the sphere is
.
Substituting values, we have:
![V=\frac{4}{3}\pi (8.3^3)\approx \boxed{2395.1}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%288.3%5E3%29%5Capprox%20%5Cboxed%7B2395.1%7D)
Answer 1:
It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.
So the two digit number x is expressed as,
![x=(10 \times t)+(1 \times u)](https://tex.z-dn.net/?f=x%3D%2810%20%5Ctimes%20t%29%2B%281%20%5Ctimes%20u%29)
![x=10t+u](https://tex.z-dn.net/?f=x%3D10t%2Bu)
The two digit number 'y' is obtained by reversing the digits of x.
So, ![y=(10 \times u)+(1 \times t)](https://tex.z-dn.net/?f=y%3D%2810%20%5Ctimes%20u%29%2B%281%20%5Ctimes%20t%29)
![y=10u+t](https://tex.z-dn.net/?f=y%3D10u%2Bt)
Now, the value of x-y is expressed as:
![x-y=(10t+u)-(10u+t)](https://tex.z-dn.net/?f=x-y%3D%2810t%2Bu%29-%2810u%2Bt%29)
![x-y=10t+u-10u-t](https://tex.z-dn.net/?f=x-y%3D10t%2Bu-10u-t)
![x-y=9t-9u](https://tex.z-dn.net/?f=x-y%3D9t-9u)
![x-y=9(t-u)](https://tex.z-dn.net/?f=x-y%3D9%28t-u%29)
So,
is equivalent to (x-y).
Answer 2:
It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = ![\frac{a}{1-r}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-r%7D)
Since, the sum of the given infinite geometric series = 200
Therefore,![\frac{a}{1-r}=200](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-r%7D%3D200)
Since, r=0.15 (given)
![\frac{a}{1-0.15}=200](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-0.15%7D%3D200)
![\frac{a}{0.85}=200](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B0.85%7D%3D200)
![a=0.85 \times 200](https://tex.z-dn.net/?f=a%3D0.85%20%5Ctimes%20200)
a=170
The nth term of geometric series is given by
.
So, second term of the series =
= ar
Second term = ![170 \times 0.15](https://tex.z-dn.net/?f=170%20%5Ctimes%200.15)
= 25.5
So, the second term of the geometric series is 25.5
Step-by-step explanation:
Answer: $175.50
Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.
I = PRT
I = 450 x .13 x 3
Now to solve for it:
I = $175.50