Answer:
the probabilities associated with each possible value for X
for x = -2
0.308
for x = -1
0.176
for x=0
0.011
for x =+1
0.3516
for x=+2
0.088
Step-by-step explanation
See this attachment
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>
<em>"</em> is:
<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>
<u />
<u />
Given that the original price of something decreased by 1/3, it means:
the original price is reduced by one-third.
- One-third is not equal to half of the price.
- 1/3 of the original price would be
33.3% less of the original price.
- This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.
- 1/3 is more than a quarter (1/4).
<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>
<em>" </em>are:
<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>
Learn more here:
brainly.com/question/11293133
Hello from MrBillDoesMath!
Answer: 8 * pi (inches^2)
Discussion:
From Plane Geometry the circumference of a circle of radius "r" is
2 * pi * r
In this case, AB is a radius of the circle so the circumference is
2 * pi * 4 = 8 pi
Regards, MrB
To solve this, we need to set up two different equations, then use them to find what we are looking for.
First, we need to change the words in the problem into variables and numbers. "The length of a rectangle is 3mm less than four times the width." This translates into: L=4W-3
Now, we are given the area and are told to solve for the dimensions (meaning the height and width. We need to use the area equation for a rectangle to finish the problem. A=L x W
Substitute the equation we created for the length into the area equation and we can solve for the width.
A= L x W --> 1387=(4W-3) x W --> 1387=4W^2-3W --> 0=4W^2-3W-1387
0=4(W-19)(W+18.25)
So our width either equals 19 or -18.25, and since a distance can't really be negative, our width is 19mm. Now we can use this to solve for length.
L=4W-3 --> L=4(19)-3 --> L=76-3 --> L=73
Our length is 73 mm.
Check: We can check this answer by multiplying the two numbers to see if they provide the area given in the problem. A=73x19=1387mm^2
The answer is 3 hours and 45 minutes
Hope it helps