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Ainat [17]
2 years ago
15

What is the quotient? 10m^5n^2-30mn/5mn

Mathematics
1 answer:
Eduardwww [97]2 years ago
4 0
10m 5/n^4 combiiend like terms
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George put some cards into a basket. Then he drew 3 cards out of the basket. Is this a random sample of cards in the basket? Why
alexgriva [62]

Answer:

It is because he doesn’t know exactly which cards are in the basket and he doesn’t know the exact three he is going to pick out

Step-by-step explanation:

7 0
2 years ago
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
kogti [31]

Answer: a) H_0: p=0.1\\H_a:p>0.1

b) 2.166666

c) 1.2816

d) Conclude that the defective proportion in the shipment is greater than 0.1 because the test statistic is larger than the critical point.

Step-by-step explanation:

Let p be the population proportion.

As per given , Company B can reject the shipment if they can conclude that the proportion of defective items in the shipment is larger than 0.1.

Thus, the appropriate hypotheses :

a) H_0: p=0.1\\H_a:p>0.1, since alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also , n=400

sample proportion of defective : \hat{p}=\dfrac{53}{400}=0.1325

b) Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.1325-0.1}{\sqrt{\dfrac{0.1(1-0.1)}{400}}}\approx2.1666666

c) Using , z-value table ,

Critical value for 0.1 level of significance.:z_{0.1}=1.2816

Since, the test statistic value(2.166666) is greater than the critical value (1.2816) so we reject the null hypothesis.

d) Conclusion: We conclude that the defective proportion in the shipment is greater than 0.1 because the test statistic is larger than the critical point.

5 0
2 years ago
The sum of two consecutive even integers divided by four is 189.5
Andre45 [30]
The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380
6 0
2 years ago
The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive l
Nezavi [6.7K]

- Make an equation representing the number of vehicles needed.

We have six drivers so

x + y ≤ 6

That's not really an equation; it's an inequality.  We want to use all our drivers so we can use the small vans, so

x + y = 6

- Make an equation representing the total number of seats in vehicles for the orchestra members.

s = 25x + 12y

That's how many seats total; it has to be at least 111 so again an inequality,

25x + 12y ≥ 111

We solve it like a system of equations.  

x + y = 6

y = 6 - x

111 = 25x + 12y = 25x + 12(6-x)

111 = 25x + 72 - 12x

111 - 72 = 13 x

39 = 13 x

x = 3

Look at that,  it worked out exactly.  It didn't have to.

y = 6 - x = 3

Answer: 3 buses, 3 vans

8 0
2 years ago
Audrey has 400 songs on her MP3 player. Of these songs, 150 are by female vocalists, 75 are by male vocalists, and 175 are by gr
Nuetrik [128]

Probability for male = 75/400 = 3/16

Probability for groups = 175/400 = 7/16

Probability for female = 150/400 = 3/8

There is a 3/8 probability of the song being sung by a female vocalist.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
2 years ago
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