Answer:
Step-by-step explanation:
$15 × 0.75 × 1.04 = $11.70
$25 × 0.75 × 1.04 = $19.50
$37 × 0.75 × 1.04 = $28.86
$65 × 0.75 × 1.04 = $50.70
The answer is
5mn(KUASA DUA) -6gh(KUASA DUA) +2
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.
The dimensions of the rectangles to the nearest hundredth are
- length = 13.56 inches
- width = 3.39 inches
<h3>What is a rectangle?</h3>
A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.
<u>Given data</u>
Area of the rectangle = 46 square inches
length L = 4 * width W
area of a rectangle, A
A = L * W
46 = L * W
46 = 4w * w
46 = 4w^2
w^2 = 11.5
w = sqrt ( 11.5 )
w = 3.391 inches
w = 3.39 to the nearest hundredth
since L = 4w
L = 4 * 3.391
L = 13.564
L = 13.56 to the nearest hundredth
Read more on areas of rectangles here: brainly.com/question/2607596
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Answer:
Right Scalene Triangle
Step-by-step explanation:
