Answer:
x = 11/7 or 1.57
Step-by-step explanation:
let the number be x
now :
=》the product of 7 and the number
=》6 less than the product
=》now, we know :
Answer: B
Step-by-step explanation:
It is one sided test of R-squared being zero versus being greater than zero.
These are the steps of the test.
1. State the null and alternative hypothesis: ...
2. Compute the test statistic: ...
3. Find a (1 - 0.05)×100% confidence interval for the test statistic. ...
4. Decide whether to accept or reject the null hypothesis: 5.991 ∉ [0, 2.28], so reject H 0 .
5. Determine the p-value.
Answer:
72m^3
Step-by-step explanation:
l x w x h
l = 2
w = 9
h = 4
2 x 9 x 4 = 72
Answer:
108 ft²
Step-by-step explanation:
For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.
Next, we have to find the other side of the polygon on the <em>right</em> so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.
Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.
Hopefully that's helpful! :)
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
