Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
Value of the test statistic:
Thus the correct answer is given by option a.
I got it as 4 when calculating all have the same number which is 133
Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a<em>² + 5a - 2)* (5a² -3a + 4)</em>
<em> = 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)</em>
<em>=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)</em>
<em>=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8</em>
<em>= 15a⁴ </em><u><em>- 9a³ + 25a³</em></u><em> +</em><u><em> 12a² - 15a² - 10a²</em></u><em> +</em><u><em> 20a +6a </em></u><em>- 8</em>
<em>= 15a⁴ + 16a³ - 13a² +26a - 8</em>