Answer:
9 feet
Step-by-step explanation:
The given is 30-60-90 special triangle with the side lengths as follows
x-x√(3- and 2x
The side length that sees 90 degrees (hypotenuse) is 18 which means x = 9
then the side length that sees 30 degrees is 9 as well
Answer:
10,000
Step-by-step explanation:
100x100=10,000
The two hundreds in this equation have a total of 4 zeros, so you just put those 4 zeros at the end of your answer.
After that, multiply 1 and 1.
That should be 1.
After that, put the 4 zeros behind the 1.
Your answer should be 10,000.
Hope this helps!
Answer:
Hey! The answer is <em>-4 5/12</em>
Step-by-step explanation:
<em>First, make all the mixed number into a improper fraction.</em>
<em>Next, find the least common multiple.</em>
<em>Than, adjust the fractions basied on the LCM.</em>
<em>Lastly, convert the improper fractions to mixed numbers</em>
<em>follow these steps in order to get -4 5/12 as your answer.</em>
<em>so therefore your answer will be:</em>
<em>-4 5/12</em>
hope this helps!
Answer:
The sample proportion represents a statistically significant difference from 50%
Step-by-step explanation:
Null hypothesis: The sample proportion is the same as 50%
Alternate hypothesis: The sample proportion is not the same as 50%
z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]
p' is sample proportion = 289/400 = 0.7225
p is population proportion = 50% = 0.5
n is number of students sampled = 400
z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9
The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.
Conclusion:
Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.
There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.
Answer:
![z = -1.23](https://tex.z-dn.net/?f=%20z%20%3D%20-1.23)
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
![p_v = P(z](https://tex.z-dn.net/?f=%20p_v%20%3D%20P%28z%3C-1.23%29%20%3D%200.1093)
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: ![p =0.02](https://tex.z-dn.net/?f=p%20%3D0.02)
Alternative hypothesis: ![p < 0.02](https://tex.z-dn.net/?f=%20p%20%3C%200.02)
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:
![z = -1.23](https://tex.z-dn.net/?f=%20z%20%3D%20-1.23)
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
![p_v = P(z](https://tex.z-dn.net/?f=%20p_v%20%3D%20P%28z%3C-1.23%29%20%3D%200.1093)
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