6 maybe? I used Siri sorry if it’s wrong
Answer:
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
Step-by-step explanation:
The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle
One complete cycle of clock rotation = 360° = 12 hours
Therefore, the hour hand rotates 360/12 = 30° for each hour
Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour
The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour
∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
6 more than means add 6. The product of 2 and N means multiply the two together.
C) 2N + 6 is the answer.
Hope this helps! :)
Answer:
4
Step-by-step explanation:
Let y be the width of the rectangle
The length of the rectangle is 5 unit more than the width. This is written as:
Length = y + 5
Area = 36
Recall:
Area of rectangle = length x width
36 = (y + 5) x y
36 = y^2 + 5y
Rearrange the expression
y^2 + 5y — 36 = 0
To solve this problem by factorization, multiply the first term (i.e y^2) and last term ( i.e — 36) together. This gives — 36y^2
Next, find two factors of —36y^2 such that when we add them together it will result to the second term (5y). These factors are —4y and 9y. Now we substitute —4y and 9y in place of 5y in the equation. This is illustrated below:
y^2 + 5y — 36 = 0
y^2 —4y + 9y — 36 = 0
We factorize as follows:
y(y — 4) + 9(y —4) = 0
(y + 9) (y — 4) =0
y + 9 = 0 or y — 4 = 0
y = —9 or y = 4
Since the measurement can not be negative, therefore y (i.e the width) is 4
Answer:
The probability that a customer pays late each month is P(B) = 0.27
Step-by-step explanation:
Let P( A ) be the probability that the customer pays on time and the value is 0.55
Let P( B ) be the probability that a customer pays late each month
So
The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82
The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible
Now The probability that a customer pays late or on-time each month is mathematically represented as
P(A u B) = P(A) + P(B) - P(A n B)
=> 0.82 = 0.55 + P( B ) - 0
=> P(B) = 0.27