(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find
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Answer:
The value of z test statistics is 1.561.
Step-by-step explanation:
We are given that a poll finds that 54% of the 600 people polled favor the incumbent.
Shortly after the poll is taken, it is disclosed that the incumbent had an extramarital affair. A new poll finds that 50% of the 1030 polled now favor the incumbent.
Let = <u><em>population proportion of people who favor the incumbent in the first poll</em></u>
= <u><em>population proportion of people who favor the incumbent in the second poll</em></u>
<u><em /></u>
So, Null Hypothesis, :
{means that his support has increased or remained same after the second poll}
Alternate Hypothesis, :
{means that his support has decreased after the second poll}
The test statistics that would be used here is <u>Two-sample z test for</u> <u>proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of people who favor the incumbent in first poll = 54%
= sample proportion of people who favor the incumbent in second poll = 50%
= sample of people in first poll = 600
= sample of people in second poll = 1030
<u><em /></u>
So, <u><em>the test statistics</em></u> =
= 1.561
Hence, the value of z test statistics is 1.561.
A graph which shows the image of ABCD is: A. on a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1).
<h3>What is a transformation?</h3>A transformation refers to the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
In Geometry, there are different types of transformation and these include the following:
- Dilation
- Reflection
- Rotation
- Translation
Based on transformation of parallelogram ABCD, we can infer and logically deduce that a graph which shows the image of ABCD is that on a coordinate plane, with parallelogram A'B'C'D' having points (-2, 5), (0, 3), (0, -1.2), (-2, 1) as shown in the image attached below.
Read more on transformations here: brainly.com/question/27939466
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Answer:
216
Step-by-step explanation:
Use geometric formulas to solve for each individual SIDE of the triangular prism
TOP and BOTTOM TRIANGLE sides:
<--- times 2 because we have TWO identical triangle sides
RIGHT RECTANGULAR side from our perpsective:
- LxW
- 8(7)
FRONT RECTANGULAR side:
- LxW
- 7(6)
BACK RECTANGULAR side:
- LxW
- 7(10)
Now you add all of those formulas together for your answer.
+
+ 8(7) + 7(10) + 7(6)
= 216