Answer:
1/64
Step-by-step explanation:
Note that 1³ = 1 and that 4³ = 64.
1³ 1
Thus, (1/4)³ = ------------ = -------
4³ 64
Answer:
30 times
Step-by-step explanation:
There's a 50% chance that they will get heads.
60 divided by 2 is 30
50% of 60 is 30
Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.
The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.
The sides of these triangles are in ratio

so the coordinates after the first putt are

The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.
Now a second putt of 3.8 feet north puts us at

The squared distance to the origin is exactly

A little calculator work tells us

Third choice.
Answer:
A) Negative Correlation. B) C. C) B
Step-by-step explanation:
<h2>A:</h2>
As the line of best fit is travelling downwards, it is a negative correlation, if the line of best fit is travelling upwards, it is a positive correlation, if the points on the graph are all over the place, there is no correlation.
<h2>B:</h2>
As there are only three types of correlation, the strongest is always the positive.
<h2>C:</h2>
The answer is B because there is no correlation and that means that there shouldn't be a line of best fit.
Answer:
<em>2 7/24</em>
Step-by-step explanation:
<em>First we have to add the gallons of two cow of each owner:</em>
<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>
<em>Add the whole numbers:</em>
<em>4 + 4 = 8</em>
<em>Now for 3/4 and 1/8 </em>
<em>Find common</em>
<em>6/8 + 1/8</em>
<em>= 7/8</em>
<em>Put together :</em>
<em>8 7/8</em>
<em>Debra's cows: </em><em>5 1/2 + 5 2/3</em>
<em>Add the whole number</em>
<em>5 + 5 = 10</em>
<em>Now for 1/2 and 2/3</em>
<em>3/6 + 4/6</em>
<em>1 1/6</em>
<em>10 + 1 1/6 </em>
<em>= 11 1/6</em>
<u><em>Since now we know that:</em></u>
<u><em>Hank - </em></u><em>8 7/8</em>
<u><em>Debra - </em></u><em>11 1/6</em>
<em>we can solve the question:</em>
<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>
<em>Solution:</em>
<em>11 1/6 - 8 7/8</em>
<em>Subtract whole number</em>
<em>11 - 8 = 3</em>
<em>Now for 1/6 and 7/8</em>
<em>4/24 - 21/24</em>
<em>4-21/24</em>
<em>-17/24</em>
<em>2 7/24</em>
<em />
<u>~lenvy~</u>