Answer:
Step-by-step explanation:
Express Courier Service has found that the delivery time for packages is normally distributed. So we use
z = (x - mean)/standard deviation
mean = 13
standard deviation = 2
x = time of delivery in hours
a) P(0 lesser than/equal to 18)
z = (18-13)/2 =5/2 = 2.5
Using the normal distribution table, the value is 0.9938
b) to be 95% sure, let the time be t
From the table, the equivalent of z that is 0.95 = 1.645
So 1.645 = (t-13)/2
t-13 = 3.29
t = 3.29+13= 16.29 hours
Answer:
The anchor line can be put 42.53 foot from the tower.
Step-by-step explanation:
The following information is missing in the question:
Length of anchor line = 105 foot
The attached image shows the complete question.
We are given the following in the question:
Length of tower = 96 foot
Length of anchor line = 105 foot.
We have to find how far the tower can be placed. Let this length be x foot.
Since, the tower, anchor line forms a right angled triangle.
Pythagoras Theorem:
The sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.
Then, by Pythagoras theorem, we can write:
Thus, the anchor line can be put 42.53 foot from the tower.
Answer:
The remainder is 0 ⇒ 3rd answer
Step-by-step explanation:
* In the synthetic calculation we use the coefficient of the dividend
with the value of x when the divisor = 0
∵ x - 1 = 0 ⇒ add 1 to both sides
∴ x = 1
Step 1 : Write down the coefficients of the f(x) , put x = 1 at the left
1 1 0 -1 1 -1
________________
Step 2 : Bring down the first coefficient to the bottom row.
1 1 0 -1 1 -1
________________
1
Step 3 : Multiply it by 1, and carry the result into the next column.
1 1 0 -1 1 -1
____ 1_________
1
Step 4 : Add down the column
1 1 0 -1 1 -1
____1__________
1 1
Step 5 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
_____1___1_______
1 1
Step 6 : Add down the column
1 1 0 -1 1 -1
____1___1______
1 1 0
Step 7 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
___1___1___0______
1 1 0
Step 8 : Add down the column
1 1 0 -1 1 -1
_____1____1__0_____
1 1 0 1
Step 9 : Multiply it by 1, and carry the result into the next column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1
Step 10 : Add down the column
1 1 0 -1 1 -1
____1____1___0___1___
1 1 0 1 0
∴ The quotient is (x³ + x² + 1 ) and the remainder is 0
* The remainder is 0
The answer is -1 because, -2x+-6 = -4 is the same as -2x=2 which equals -1
Let x be the cost of dryer, y be the cost of washer
x + y =821
x-79 = y
combine 2 equation
we got
x + (x-79) = 821
2x + 79 = 821
2x = 742
x=471
The cost of dryer is $471