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vlabodo [156]
3 years ago
5

Mr. Wright needs to buy a water tank for his classroom. The tank must fit inside a storage box that is shaped like a cube with s

ide lengths of 20 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mr. Wright wants to buy the tank that has the largest capacity… What shape should he buy?
Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

square pyramids

Step-by-step explanation:

Square pyramids because they have corners and the storage box is shaped like a cube. If he gets things with rounded edges, then there will be empty space between each water tank.

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A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
nataly862011 [7]

Answer:  \bold{-\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

m=\dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{-2+1}{1+1}

   =-\dfrac{1}{2}


8 0
3 years ago
Read 2 more answers
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values
gayaneshka [121]

The domain of the graph is  -8 while the range of the graph is -4\leq x.

  • The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

  • Domain = -8 (Note that -8 is not included)

  • For the range, the interval is given as: -4\leq x. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: brainly.com/question/1942755

3 0
2 years ago
Reduce 18/45 to simplest form
nadya68 [22]

Answer:

2/5

Step-by-step explanation:

7 0
2 years ago
At Costco, you can buy a ten-pound bag of Halloween candy for $23.99. Kroger is running a special on the same brand of candy: bu
kirill [66]

Answer:

A. 2.40

B. 4

C. Costco is the better deal

Step-by-step explanation:

23.99/10= 2.399 (rounded to 2.40)

10/2.5 lbs (16 oz = 1 lb) = 4

6 0
3 years ago
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