Answer:
9x sqrt 5x
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
9x√
5x
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.
Answer:
The value is 0.82
Step-by-step explanation:
Answer:
(4, 9) does not satisfy the equation
Step-by-step explanation:
Given the linear equation, y = x - 5, and the point, (4, 9):
We can determine whether (4, 9) is a solution to y = x - 5 by substituting their values into the equation.
x = 4, and y = 9:
y = x - 5
9 = 4 - 5
9 = -1 (False statement)
As demonstrated in our calculations, it turns out that (4, 9) does not satisfy the equation. Therefore, (4, 9) is <u><em>not</em></u> a solution to y = x - 5.
If each face is a unit square then that means the dimensions of the cube are 1x1x1 meaning the volume is 1
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