Answer:
the probability that the average diameter of those sand dollars is more than 4.73 centimeters is 0.5910
Step-by-step explanation:
Given information:
mean, x = 5
standard deviation, σ = 0.9
number of sample, n = 16
now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.
P(x>4.73) = P (z > (4.73 - x) / (σ
)
= P (z > (4.73 - 4) / (0.9
)
= P (z > 0.203)
= 0.5910
x = 81 degrees (The sum of a triangle's angles must be 180 degrees. 48 + 51 = 99, and 180 - 99 = 81)
y = 99 degrees (Y and X are on a supplementary angle. Like a triangle, a supplementary angle's angles must add up to 180 degrees. 180 - 81 = 99)
z = 129 degrees (Z and the 51 degree angle are also on a vertical angle. 180 - 51 = 129)
Hope this helps!
Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
You would have to find out how many square feet the lawn is first:
70 x 50 = 3500 square feet
You are told that one pound = 200 square feet so use this to calculate how many pound you’ll need for 3500 square feet.
3500 square feet divided by 200 square feet = 17.5 pounds
Answer: 17.5 pounds