<span>On the first roll, the probability of rolling a 2 is 1/6.
On the second roll the probability of rolling a 3 is also 1/6, and the probability of rolling a 4 on the third roll is, you guessed it, 1/6.
Therefore the required probability is given by:
1/6 x 1/6 x 1/6 = 1/216</span>
Answer:
Miguel has a greater unit rate than Donna because 53 mph is greater than 48 mph
Step-by-step explanation:
Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
3) Add them:
![\Sigma [f(x-E(X))^{2}]](https://tex.z-dn.net/?f=%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D)
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)
V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
Let the three consecutive odd numbers be x,x+2,x+4.
Given, their sum =219
Therefore, x+x+2+x+4=219
⇒3x+6=219
Subtract 6 from both the sides,
⇒3x+6−6=219−6
⇒3x=213
⇒x=71
The other numbers are x+2=71+2=73 and x+4=71+4=75.
Therefore, threee odd numbers are 71,73 and 75.
Answer:
14cm
Step-by-step explanation:
formula of a rectangular container is LBH and we were given that LBH is 2*11*20 which is equal to 440cm.
Now when the water is transferred into a hollow cylindrical container.the formula for that is 2pierh.440=2*22/7*5*h
440*7=220h
3080=220h
h=14cm
