Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
Answer: She can fill about 15 3.5- fluid once jars.
Step-by-step explanation:
Given:
Quantity of red paint = 34.6 fluid ounces
Quantity of yellow paint = 18.6 fluid ounces
Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )
= (34.6+18.6) fluid ounces
= 53.2 fluid ounces
Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5
= 53.2÷3.5 = 15 (approx)
Hence, She can fill about 15 3.5- fluid once jars.
Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
My answer to this question C
