You are correct!
Step 1:Write what you know
Madeline's Height: 6 ftMadeline's Shadow: 108 in
Friend's Height: X (we use X as a variable because his height is unknown)Friend's Shadow: 108 in - 1.5 ft 108 in - 18 in 90 in
Step 2:Set up proportions
6 x----- = -----108 90
Step 3:Cross Multiply & Solve
108x = 540x = 5 ft tall
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
If the probability is that it WILL rain 1/5. Then the remaining chances are the number it will not rain. The denominator tells us that there are at total of 5 chances. That leaves a 4/5 chance it will not rain.
Step-by-step explanation:
Solution :
Given the Joint Probability distribution is :
Y|X 0 1 2 3 P(y)
0 k 0.03 0.03 0.03 k+0.09
1 0.01 0.02 0.04 0.04 0.11
2 0.01 0.01 0.05 0.72 0.79
P(x) k+0.02 0.06 0.12 0.79 k+0.99
Since we know,
⇒ k + 0.99 = 1
⇒ k = 1 - 0.99
⇒ k = 0.01
Therefore, the value of k is 0.01
Answer:
V≈11.99π
Step-by-step explanation:
1/3hπr^2 = volume of a cone
(4/3πr^3)/2 = volume of a hemi sphere
Volume of the cone
1/3(5)π(2)^2
1/3(5)π(4)
1/3(20)π
Volume of the cone is ≈ 6.66π
Volume of the hemi sphere
(4/3π(2)^3)/2
(4/3(8)π)/2
(10.66π)/2
volume of the hemi sphere is ≈ 5.33π
5.33π + 6.66π =11.99π