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Gala2k [10]
3 years ago
8

Each small kite costs $4, while each large kite costs $7. If the total money collected selling kites is $150, and 30 kites are s

old, which system of equations can be used to find out how many of each size kite are sold? Let s be the small kites and l be the number of large kites.
Mathematics
1 answer:
prohojiy [21]3 years ago
6 0
<span>Solve the following system of equations by linear combination:
 
3x + 2y = 7 y = x – 4

</span><span>3x+2(x-4)=7 now solve for x 3x+2x-8=7 combine terms 5x-8=7 add 8 5x=15 divide by 5 x=3 plug that into the second equation y=3-4 y=-1 solution (3,-1)</span>
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Wich data set could be repersented by the blox plot shown down below?<br><br><br>pick a b c or d
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Answer:

Its A.

Step-by-step explanation:

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The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data fr
schepotkina [342]

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.

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