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Damm [24]
3 years ago
14

At a wedding reception, the bride and groom and eight attendants will form a receiving line. How many ways can they be arranged

in each of following cases?
Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

Step-by-step explanation:

A. In this case, they can be arranged at any order. Since there are 7 people all in all, therefore the number of arrangements is:

number of arrangements = 7P7 = 5040 ways

B. In this case, only the 5 people can be arranged in any order therefore 5P5. However the groom and bride can be interchanged on 2 places, therefore:

number of arrangements = 5P5 * 2 = 240 ways

C. In this case, only the 5 people can be arranged in any order while the groom and bride can no longer be interchanged, therefore:

number of arrangements = 5P5 = 120 ways

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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
The manager of a store increases the price of a popular product by 5%. Let y be the original price of the product. The new price
Sphinxa [80]

Answer:

you will multiply the new price plus the original price

5 0
2 years ago
Does -8 have a greater absolute value than 6
r-ruslan [8.4K]

Answer:

yes.

Step-by-step explanation:

because -8 absolute value is 8

7 0
2 years ago
Read 2 more answers
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way
Trava [24]

Answer:

6.4 minutes

Step-by-step explanation:

The question gave us the following details:

Average speed = 60mph

Time spent on trip = 8 hours

Average speed of express train on way back = 75mph

T = distance/speed

D = distance

V = speed

T = d/v

d = v(t)

d = 60 x 8

= 480

Such that

480/75

= 6.4 hours.

That is 6 hours 40 minutes is the length of time it would take on the trip home.

Thank you!

7 0
3 years ago
(8x - 14) (5y + 16) (5x + 34)​
labwork [276]

Answer: 200x^2y+640x^2+1010xy+3232x-2380y-7616

Step-by-step explanation:

((8x−14)(5y+16))(5x+34)

((8x−14)(5y+16))(5x)+((8x−14)(5y+16))(34)

200x2y+640x2−350xy−1120x+1360xy+4352x−2380y−7616

200x2y+640x2+1010xy+3232x−2380y−7616

3 0
3 years ago
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