Answer:
"The Hulk is not green AND the Iron Man is not red"
Step-by-step explanation:
DeMorgan's laws state that the negation of an statement whose structure is "p OR q" is "not p AND not q", and similarly, that the negation of an statement whose structure is "p AND q" is "not p OR not q". The statement we want to negate in our case is "The Hulk is green OR the Iron Man is red". This is an statement whose structure is of the type "p OR q", where p would be "The Hulk is green", and q would be "the Iron Man is red". So according to DeMorgan's laws, its negation should be the statement "not p AND not q". To put them in common english, not p would be "The Hulk is NOT green", and not q would be "The Iron Man is NOT red". So the statement "not p AND not q" is simply "The Hulk is not green AND the Iron Man is not red".
The estimate of the total sales is $3,055,510.08.
First I created a scatter plot of the data given for yellow golf balls and calculated the linear regression for it. Screenshots are attached.
The regression equation (equation for the line of best fit) was
y = 16488x + 189312, where x represents the year number and y is the total yellow golf balls.
We are concerned with year 4, so we will substitute 4 for x:
y = 16488(4) + 189312 = 255,264
There will be around 255,264 yellow golf balls sold in year 4.
Since the ratio of yellow to white golf balls is 1:5, we can set up a proportion:
1/5 = 255264/x
Cross multiply:
1*x = 5*255264
x = 1,276,320
We expect the company to sell 1,276,320 white golf balls. This makes a total of:
1,276,320 + 255,264 = 1,531,584 total golf balls expected to be sold in year 4.
Since these are sold in boxes of 12, we divide this by 12:
1,531,584/12 = 127,632 boxes expected to be sold
Each box is 23.94:
127632*23.94 = 3,055,510.08
Answer:
C) 1
Step-by-step explanation:
We know that
the area of a rectangle=length*width
let
length=x-3
width=x+8
area=42 ft²
so
42=(x-3)*(x+8)----------> x²+8x-3x-24=42--------> x²+5x-66=0
using a graph tool-------> to resolve the second order equation
see the attached figure
the solution is
x=6
hence
length=x-3------> 6-3-----> 3 ft
width=x+8 ------> 6+8----> 14 ft
the answer is<span>
the dimensions of the rectangle are 3 ft x 14 ft</span>
Picture of the question is attached below.
Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.
Step-by-step explanation:
The model depicted by the line equation:
y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.
-5.9x approximately -6x decrease for every 10F temperature increase.