Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m = 
= 
= 
the line crosses the y-axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation in slope- intercept form
The relative frequency probability that an accurate forecast will be made the next day is ratio of the number of correct predictions made to the total number of predictions is 0.575
The total number of predictions made = 40
The number of correct predictions = 23
The relative frequency probability is given by ;
- Number of correct predictions ÷ total number of predictions made
Therefore, the relative frequency probability that an accurate forecast will be made tomorrow is 0.575
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The expression that can be used to find the area of the tiled floor is 4w² + 200w
<h3>Area of rectangle</h3>
Length = 70 Meters
Width = 30 meters
Area = length × width
= 70 × 30
= 2100
- New rectangle(including tiled floor):
Length = 70 + 2w meters
Width = 30 + 2w meters
Area = length × width
= (70+2w) (30+2w)
= 2100 + 140w + 60w + 4w²
= 4w² + 200w + 2100
Area of the tiled floor = Area of new rectangle - area of old rectangle
= (4w² + 200w + 2100) - 2100
= 4w² + 200w + 2100 - 2100
= 4w² + 200w
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The current value of the precious metal is $144/oz
-First, you'd want to determine the original value per ounce since that's what the final unit being asked for is.
- Since the original value of the half ounce piece is given, this first step is fairly simple. You just double ninety.
- We now know that the metal was worth $180/oz when the museum first received it.
- We need to determine the current price of the metal now that is has had a twenty percent loss of value.
- My favorite way to factor in 20% is simply to divide by five since it's a lot more simple than finding the ratio of x$/1%
- $180/5=$36
- Thirty-six dollars is the price drop over the course of the museum possessing the precious metal.
- You now take $180-$36=$144
Answer: 4 litres of air is held in Braydon’s tank.
Step-by-step explanation:
The law relating pressure to volume is the Boyle's law. It states that the volume of a given mass of gas is inversely proportional to its pressure as long as temperature remains constant. It is expressed as
P1V1 = P2V2
Where
P1 and P2 are the initial and final pressures of the gas.
V1 and V2 are the initial and final volumes of the gas.
From the information given,
V1 = 6 litres
P = 220 psi
P2 = 330 psi
Therefore,
6 × 220 = 330V2
V2 = 1320/330 = 4 litres
