The formula for finding a volume of a cone is
V=πr^2h(1/3)
Plug in the values the have given you and solve.
3.14(7)^2(3)(1/3)
approx. 153.86 cubic ft.
From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.
<h3>How to solve the distance</h3>
From the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:
= 100 - 80
= 20 meters
Therefore, the fraction of their distance will be:
= 20/100 = 1/5
Therefore, the number of meters behind the turtle that the rabbit should start will be:
= 80 × 5
= 400 meters.
Learn more about distance on:
brainly.com/question/2854969
Answer:
1. y = 0.437798+0.829539X
2. there is a significant effect
3. 7.523
4. 41.914
5. no
6. 0.8777
Step-by-step explanation:
1.
from the regression output we have
intercept = 0.437798
slope = 0.829539
the regression line would therefore be =
y = 0.437798 + 0.829539X
2.
h0 = regression is not significant
h1: regression is significant
alpha = 0.05
p value = 0.0001
we compare p-value with alpha
0.0001<0.05
we therefore reject H0 and conclude that hours spent studying have significant effect on total points.
3.
To get standard error of estimate:
mean sum of squared error = MSE
MSE = 56.5974
= √56.5974
= 7.523
4.
points of a student who spent 50 hours studying. we calculate this from the regression line
y = 0.437798 + 0.829539X
x = 50
y = 0.437798 + 0.829539(50)
y = 41.914
5.
no I would not be comfortable using estimate regression equation to predict his point of a student spent 120 hours studying. this value is out of range of the predictor values (independent variables)
6. to get r² (r squared)
r² = SSR/SST
SSR = 3249.72
SST = 3702.5
r² = 3249.72/3702.5
= 0.8777
7.
we are supposed to solve question 7 from question 8. but no question 8 was given. hence no solution
We have six ladies and name them:
1,2,3,4,5,6
where 5 and 6 are the daughters of 3 and 4, 3 and 4 are daughters of 1 and 2.
Now,
1 and 2 are mothers of 3 and 4 = 2 mothers
3 and 4 are mothers of 5 and 6 = 2 mothers
1 and 2 are the grandmothers of 5 and 6 = 2 grandmothers
5 and 6 are the daughters of 3 and 4 = 2 daughters
3 and 4 are the daughters of 1 and 2 = 2 daughters
2 granddaughters 5 and 6
So now you have a list of 12 people ! ... 4 mothers, 2 grandmothers,
4 daughters, and 2 grand-daughters ... and they all get in to the Christmas Market with only six tickets.
Answer:
4/24 or simplified = 1/6
Step-by-step explanation:
first you need to multiply the numerators, which is 4 then the denominators which would be 24, then simplify