Answer:
+49
Step-by-step explanation:
-7 x -7 = +49 because the negatives cancel out, resulting in a positive
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
Answer:
This is just a relation.
Step-by-step explanation:
It is easy to see if a set of ordered pairs is a relation or a relation that is a function.
If all the points are distinct, then you just have to look at the 
-coordinates.
If all the -coordinates are different, then it is a function. Otherwise, it is a just a relation.
So this cannot be a function because there is at least two different points that have 
.
Answer:
Total number of coffee pot = 16 pots
Step-by-step explanation:
Given:
Time taken for drying all coffee pot = 10 minutes
Total time taken for cleaning and drying coffee pot = 82 minutes
Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes
Find:
Total number of coffee pot
Computation:
Total time taken for cleaning = Total time taken for cleaning and drying coffee pot - Time taken for drying all coffee pot
Total time taken for cleaning = 82 - 10
Total time taken for cleaning = 72 minutes
Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot
Total number of coffee pot = 72 / 4.5
Total number of coffee pot = 16 pots
