Answer:
Step-by-step explanation:
Answer:
<h2>Reflection.</h2>
Step-by-step explanation:
The image attached shows a representation of the problem, there you can observe the congruence between triangles.
Also, using the images you can easily deduct the transformation we need to map one triangle onto the other one, we just need to reflect one triangle across and axis that pass through point M, such line acts like a mirror.
Therefore, the right answer is reflection.
Answer:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
And for this case using a significance level of we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
In a four-digit number, the first digit cannot be 0, so there are only 4 even numbers available. For the second, third, and fourth digits, there are 5 available numbers. Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500 numbers.
Answer:
- field size: 1750 acres
- developed area: 1400 acres
Step-by-step explanation:
If the developed area is 80% of the field, and the undeveloped area is 20%, then the developed area is 4 times the undeveloped area, so is ...
developed area = 4 × 350 acres
developed area = 1400 acres
Then the total area is ...
total area = developed area + undeveloped area = (1400 +350) acres
total area = 1750 acres