4) fall on a line with a slope of
-
7. What is the value of t?
t=
Answer:
t = -3
Step-by-step explanation:
To answer this problem, first you have to know how to calculate the slope of a line. Since we know that y1-y2/x1-x2 is the equation to calculate slope, we are ready to tackle this problem.
Because y1 is t, y2 is 4, x1 is 4, and x2 is 5, we can now plug this in to our equation. The equation becomes t-4/4-5. And because we know the slope is 7, the equation is now (t-4)/(4-5)=7. If you solve this equation, you will get that t=-3
B evaluate the expression how much will George pay for carpeting
Answer:
The expression of the total amount George pay for carpeting is x = 385 × 3.50 .
$ 1347.5 will George will pay for carpeting .
Step-by-step explanation:
Formula
Area of the rectangle = Length × Breadth
Area of a square = a²
Where a is the side of the square .
As given
George wants to put carpeting in a rectangular living room and a square bedroom.
The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet .
Area of the living room = 12 × 18
= 216 ft ²
Area of the bedroom = 13²
= 169 ft ²
Total area = Area of the living room + Area of the bedroom
= 216 + 169
= 385 ft ²
As given
it will cost 3.50$ per foot to carpet the rooms .
First part
Let us assume that the total amount george will pay for carpeting be x .
Than
x = Total are of the living room and bedroom × cost of per foot carpeting .
x = 385 × 3.50
Second part
x = Total are of the living room and bedroom × cost of per foot carpeting .
x = 385 × 3.50
x = $ 1347.5
Therefore the $ 1347.5 will George will pay for carpeting .
The correct answer is (c) The experimental probability is 4.06 percentage points greater than the theoretical probability.
To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to first calculate each one.
Theoretical probability of drawing a blue tile:
Total number of tiles = 5 + 6 + 2 + 4 + 1 + 10 + 5 + 3 = 36
Number of blue tiles = 10
Theoretical probability of drawing a blue tile = number of blue tiles / total number of tiles = 10 / 36 = 27.78%
Experimental probability of drawing a blue tile:
Number of draws in the five trials = 54 + 36 + 80 + 22 + 75 = 267
Number of blue tiles drawn in the five trials = 18 + 11 + 20 + 4 + 32 = 85
Experimental probability of drawing a blue tile = number of blue tiles drawn / number of draws = 85 / 267 = 31.84%
To compare the two probabilities, we subtract the experimental probability from the theoretical probability:
Theoretical probability - experimental probability = 27.78% - 31.84% = -4.06%
The result is negative, which means that the experimental probability is greater than the theoretical probability.
However, we need to express this difference as an absolute value (i.e., without the negative sign) and as a number of percentage points.
The absolute value of -4.06% is 4.06%, and this is the amount by which the experimental probability is greater than the theoretical probability.
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Answer:
c.
The experimental probability is 4.06 percentage points greater than the theoretical probability.
Step-by-step explanation: