Answer:
its C
Step-by-step explanation:
thank me later
Answer:
0.6804
Step-by-step explanation:
Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.
Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3
Required probability
= Prob that atleast four of 6 times good serve
=![P(X\geq 4)](https://tex.z-dn.net/?f=P%28X%5Cgeq%204%29)
=![P(x=4,5 or 6)\\=1-F(3)\\=0.6804](https://tex.z-dn.net/?f=P%28x%3D4%2C5%20or%206%29%5C%5C%3D1-F%283%29%5C%5C%3D0.6804)
Formula used:
P(X=r) =![6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r} )](https://tex.z-dn.net/?f=6Cr%20%28%5Cfrac%7B2%7D%7B3%7D%5Er%20%29%28%5Cfrac%7B1%7D%7B3%7D%5E%7B6-r%7D%20%20%29)
Answer:
The classes need to raise $164.86 more to reach their goal of $1200.
Step-by-step explanation:
$1,200 total
Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.
1200/2 = 600
Mr. Patel's class has raised $235.14.
235.14 + 600 = 835.14
Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.
600/3 = 200
835.14 + 200 = 1035.14
The three classes have raised a combined total of $1035.14.
1200 - 1035.14 = 164.86
The classes need to raise $164.86 more to reach their goal of $1200.
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.
![2*2=4](https://tex.z-dn.net/?f=2%2A2%3D4)
Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:
![1\frac{2}{3}=\frac{5}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B5%7D%7B3%7D)
![1\frac{4}{5}=\frac{9}{5}](https://tex.z-dn.net/?f=1%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B9%7D%7B5%7D)
Now, we will multiply both fractions as:
![\frac{5}{3}\times \frac{9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B5%7D)
![\frac{1}{3}\times \frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B1%7D)
![\frac{9}{3}\Rightarrow 3](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3%7D%5CRightarrow%203)
Therefore, the 2nd debate was 3 hours long.
The answer would be 2 to the 2nd power