Answer:
The width is 5.25 feets
Step-by-step explanation:
The dimensions of the two rectangular wooden boards that Elenor and Max used to make a set for the school play are shown in the attached photo. The widths of the two boards are equal. The lengths are 6 feets and 51/2 feets
Area of each rectangular length, L × Width, W
Area of the longer rectangular board
= 6x W = 6W feet^2
Area of the shorter rectangular board
= 11/2 x W = 11W/2 feet^2
The area of the set is 60-3/8 square feet. This is equal to 483/8 feet^2.
Therefore,
483/8 = 6W + 11W/2 = 23W/2
8 × 23W = 483 × 2
184W = 966
W = 966/184 = 5.25 feets
Answer:
down on left, down on left
Step-by-step explanation:
<em>Look at the first term or the one with the highest degree.</em>
Even Degree and positive coefficient: <em>*</em>up left* and *up right*
Even degree and negative coefficient: *down left* and *down right*
Odd Degree and positive coefficient: *down left* and *up right*
Odd Degree and negative coefficient: *up left* and *down right*
Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer:
i said i like it like that
Step-by-step explanation:
that boy sus
Answer:
<u>B. There is sufficient evidence that the mean of the pressure required to open a certain valve has changed. </u>
Step-by-step explanation:
We make this conclusion based on these reasons:
- We are told that the "null hypothesis was rejected" after the <em>"manager feels that the pressure variability has changed.,</em> meaning the <u>null hypothesis was the opposite of what occurred; that is to say, it is the alternate hypothesis that proved true instead.</u>
- <em>"changes in the manufacturing process"</em> form what can be called "sufficient evidence" that the mean of the pressure required to open the valve has changed, thereby going against the null hypothesis.
It is based on the above reasons that the null hypothesis was rejected.
