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masya89 [10]
3 years ago
12

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4600 seats. The students

filled 92% of the seats in the theater. How many 6th graders went on the trip?
Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

4232

Step-by-step explanation:

92% x 4600

4232

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Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are
jasenka [17]

Answer:

The indicated confidence interval for the difference between the two population means is  (-1.5159, 7.5159)

Step-by-step explanation:

Let the drying times of type A be the first population and the drying times of type B be the second population. Then

We have small sample sizes n_{1} = 11 and n_{2} = 9, besides \bar{x}_{1} = 71.5, s_{1} = 3.4 , \bar{x}_{2} = 68.5 and s_{2} = 3.6. Therefore, the pooled

estimate is given by  

s_{p}^{2} = \frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} = \frac{(11-1)(3.4)^{2}+(9-1)(3.6)^{2}}{11+9-2} = 12.1822

The 99% confidence interval for the true mean difference between the mean drying time of type A and the mean drying time of type B is given by

(\bar{x}_{1}-\bar{x}_{2})\pm t_{0.01/2}s_{p}\sqrt{\frac{1}{11}+\frac{1}{9}}, i.e.,

(71.5-68.5)\pm t_{0.005}(3.4903)\sqrt{\frac{1}{11}+\frac{1}{9}}

where t_{0.005} is the 0.5th quantile of the t distribution with (11+9-2) = 18 degrees of freedom. So

3\pm(-2.8784)(3.4903)(0.4495), i.e.,

the indicated confidence interval for the difference between the two population means is  (-1.5159, 7.5159)

5 0
3 years ago
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
sergey [27]

Answer:

D) 675 units per day.

Step-by-step explanation:

We can write a function to model the situation.

The company is currently producing 275 units per day.

And it will increase its production by 50 units after each year.

Therefore, after <em>y</em> years, its production in units per day will be:

f(y)=275+50y

Then 8 years from now, the company will be producing:

f(8)=275+50(8)=275+400=675\text{ units per day.}

Our answer is D.

5 0
3 years ago
many centimeters are there in 7 feet? Answers may be written using decimal form and should be rounded to the nearest hundredth w
dedylja [7]
1 foot = 30.48 centimeters
Multiple 30.48 centimeters by 7
30.48 centimeters times 7 =
213.36
6 0
3 years ago
Help please asap :)))))
ArbitrLikvidat [17]

Answer:

This would be identified as a scale factor of 3x

Step-by-step explanation:

We can divide the height of B by A, 3/1 = 3

We can divide the length of B by A, 9/3 = 3

Scale factor of 3

3 0
4 years ago
Read 2 more answers
At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3
Contact [7]
Let's define the following variable:
 t = total time it takes to assemble a shelving unit together.
 We then have the following equation:
 1/5 + 1/3 = 1 / t
 Solving the equation we have:
 3t + 5t = 15
 8t = 15
 t = 1,875 hours
 Answer:
 
the time it takes for worker A and worker B to assemble a shelving unit together is:
 t = 1,875 hours
5 1
3 years ago
Read 2 more answers
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