Volume of cone=(1/3)hpir^2
d/2=r
d=2
d/2=2/2=1=r
h=6
V=(1/3)6pi1^2
V=2pi in^3 is volume
ratio of 2:1
2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit
vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla
Answer:
nonproportional
Step-by-step explanation:
nonproportional is what i think
Answer:
D) II and III are both correct.
Step-by-step explanation:
The Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The cost of flowers for a wedding is $698. The 95% of all samples of size is 40 and the confidence interval will be mean cost of flowers at wedding. There is confidence that mean cost of wedding flowers is between $701 to $767.
Answer:
D) (x+6, y+5)
Step-by-step explanation:
You can start with the top corner of triangle A
Then count up 5 units and right 6 units
Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.
And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.
Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values
Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes
(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)
Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes
(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%
With actual average time to walk to the bus stop being 10 minutes;
(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes
(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.
(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0
From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
