Answer:
it is 3.00
Step-by-step explanation:
as you can see first we define the variables
1. the y axis(vertical) represents the cost of peaches while the x axis (the bottom one) represents the number of pounds
2. then we find a place where the line crosses the grid but exactly on the corner of the box
3. when we have found our point which is (2,6) it means that every 2 pounds of peaches is 6 dollars
4. divide 6/2 and you get 3 dollars!
There are the combinations that result in a total less than 7 and at least one die showing a 3:
[3, 3] [3,2] [2,1] [1,3] [2,3]
The probability of each of these is 1/6 * 1/6 = 1/36
There is a little ambiguity here about whether or not we should count [3,3] as the problem says "and one die shows a 3." Does this mean that only one die shows a 3 or at least one die shows a 3? Assuming the latter, the total probability is the sum of the individual probabilities:
1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 5/36
Therefore, the required probability is: 5/36
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
The <em>correct answer</em> is:
B) precise
Explanation:
Precision can be broken down into two pieces:
<em>Repeatability </em>- The variation observed when the same person measures the same thing repeatedly with the same device.
<em>Reproducibility</em>: The variation observed when different people measure the same thing using the same device.
If two measurements are very close to each other, this gives repeatability. If the measurements were made by different people, this gives reproducibility.
<em>Accuracy</em>, however, describes the difference between the measurement and the thing's actual value. This would not involve getting the same result repeatedly; it would be getting the <em>correct</em> value.
