One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lat
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bolts of length more than , and less than
will be destroyed
= 13.20 cm and 12.80 cm
<u>Step-by-step explanation:</u>
Here we have , A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 cm with a standard deviation of 0.10 cm. We need to find For what lengths will a bolt be destroyed .Let's find out:
A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 2 standard deviations from the mean.
mean length=
standard deviation=
2 standard deviation from mean=
Therefore, bolts of length more than , and less than
will be destroyed
= 13.20 cm and 12.80 cm
Answer:
(1) The slope of the line segment AB is 1.
(2) The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is (5, 7)
(4) The slope of a line perpendicular to the line AB is-0.75
Step-by-step explanation:
The coordinates of the line segment AB are;
A(2, 3) and B(8, 11)
(1) The slope of a line segment is given by the following equation;
Where;
(x₁, y₁) and (x₂, y₂) are two points on the line segment
Therefore;
The slope, m, of the line segment AB is given as follows;
A(2, 3) = (x₁, y₁) and B(8, 11) = (x₂, y₂)
The slope of the line segment AB = 1.
(2) The length, l, of the line segment AB is given by the following equation;
Therefore, we have;
The length of the line segment AB is 10
(3) The coordinates of the midpoint of AB is given as follows;
Therefore;
The coordinates of the midpoint of AB is (5, 7)
(4) The relationship between the slope, m₁, of a line AB perpendicular to another line DE with slope m₂, is given as follows;
Therefore, the slope, m₁, of the line perpendicular to the line AB, that has a slope m₂ = 4/3 = 1. is given as follows;
The slope, m₁, of the line perpendicular to the line AB is m₁ = -0.75.
First we can figure out an hourly rate at which cars are washed. To do so, we need to divide 5 cars by 3 hours.
Then we need to multiply 7.5 hours by the rate. This will tell us how many cars are washed in 7.5 hours.
= 12.5 cars
Then we need to multiply 7.5 hours by the rate. This will tell us how many cars are washed in 7.5 hours.