Answer:
8%
Step-by-step explanation:
Tax equals the original amount times the tax rate
We can find the tax by taking the amount he paid minus the original amount
tax = 156.6 - 145
tax = 11.6
tax = original amount * tax rate
11.6 = 145 * tax rate
Divide each side by 145
11.6/145 = 145/145 * tax rate
.08 = tax rate
To change this to percent, multiply by 100%
.08*100% = 8%
p(event) = (number of ways desired outcome can happen)/(total number of outcomes)
The total number of outcomes is based on drawing any marble of any color. It is the the total number of marbles which is 5 + 24 + 12 + 18 = 59.
The desired outcome is to draw a green marble. Since there are 24 green marbles, the number of desired outcomes is 24.
p(green) = 24/59
p(green) = 0.406779...
Answer: 0.41
The answer to the above question is Yes. They are mutually exclusive events.
The mutually exclusive events are events which cannot occur at the same time. Suppose, you toss a coin, there cannot be head and tails both as outcomes at the same time. So, occurring of heads and tails on a coin when tossed, is an example of mutually exclusive event.
Similarly, when you roll a cube, you can never have two numbers together on the cube as outcome. <u>So, rolling a 4 and rolling a 3 on a standard number cube is a mutually exclusive events.</u>
Answer: The height of the Metal Ingot is 3 CM.
To find the height, we need to know the formula for the area of a trapezoid.
It is: A = 0.5H(b1 + b2)
Now, we just need to input the values that we know and solve for the rest.
39 = 0.5(h)(12 + 14)
78 = 26h
3 = h
The height is 3 CM.