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The probability of at least three heads can be found by<span><span>∑<span>k=3</span>4</span><span>(<span>4k</span>)</span><span>.5k</span><span>.5<span>4−k</span></span>=<span>516</span></span></span>
Answer:
Step-by-step explanation:
Information given
number of people who rent their home
represent the sample size
represent the proportion of people who rent their home
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
That's easy 172.1 times 10 with the exponent of 7
.
Answer: (-3,0)
To get this answer, we subtract 5 from the x coordinate and add 2 to the y coordinate. Point A is located at (x,y) = (2,-2) so we see that x = 2 and y = -2
Subtract 5 from the x coordinate: x-5 = 2-5 = -3. The new x coordinate is -3
Add 2 to the y coordinate: y+2 = -2+2 = 0. The new y coordinate is 0.
Therefore, using the rule (x,y) --> (x-5,y+2) has the mapping (2,-2) ---> (-3,0)
Check out the attached image.