Answer:
g(x)=x3-2x2+5x+40g
Step-by-step explanation:
Hi, there!
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To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

Here,

Hypotenuse (the longest side): c
We know that

So, we can substitute our parameters, and solve for c.
square 2 and 28
add the numbers
square root both sides

Hope the answer - and explanation - made sense,
happy studying!!
For this case we must simplify the following expression:

We apply distributive property on the left side of the equation:

We subtract 3n from both sides of the equation:

We subtract 6 from both sides of the equation:

We divide between 45 on both sides of the equation:

Answer:

Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.