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Elza [17]
2 years ago
13

A company wants to construct an open rectangular box with a volume of 525 in3 so that the length of its base is 3 times its widt

h. express the surface
Mathematics
2 answers:
vfiekz [6]2 years ago
5 0
The length of the base 3 times the width. And we need to express the surface. I'm assuming the surface of the base. So, to get the area of the base, multiply w * l.
Mamont248 [21]2 years ago
4 0
 My advice would be try multiply w x l.
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Find the value of the third quartile (the median of the upper half of the data set). 52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61,
serious [3.7K]

Answer:

64.5

Step-by-step explanation:

You understand the question, and already have the numbers in order, you're almost there!

So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)

<u>52</u>, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, <u>72</u>

<u>52, 54</u>, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, <u>70, 72</u>

<u>52, 54, 55</u>, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, <u>68, 70, 72</u>

<u>52, 54, 55, 55</u>, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, <u>65, 68, 70, 72</u>

<u>52, 54, 55, 55, 57</u>, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, <u>65, 65, 68, 70, 72</u>

...and so on, until you have:

<u>52, 54, 55, 55, 57, 58, 59, 59, 61</u>, 61, 61, <u>62, 63, 63, 64, 65, 65, 68, 70, 72</u>

Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:

(61+61)/2

=61

(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.

Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.

<u>52, 54, 55, 55, 57, 58, 59, 59, 61, </u>61, | 61, <u>62, 63, 63, 64, 65, 65, 68, 70, 72</u>

                                                             ^median/half-way point

We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

And you repeat the process! (I'm not going to show the underlining though lol)

There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)

<u>61, 62, 63, 63</u>, 64, 65, <u>65, 68, 70, 72</u>

This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.

 (64+65)/2

=129/2

=64.5

That's your final answer. Hope I could help you!

7 0
2 years ago
Read 2 more answers
Scientific Notation in 0.025
horrorfan [7]
2.5 x 10⁻²
Move the decimal two places to the right and multiply by 10 to the power of -2
4 0
3 years ago
If 1 cm represents 35 miles what is 1.25 cm in miles?
lapo4ka [179]

Answer:

43.75 miles

Step-by-step explanation:

You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75

8.75+35=43.75

8 0
2 years ago
How are different ideas about geometry connected?
Margarita [4]
They areall related to geoemtry
8 0
3 years ago
Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed
valentina_108 [34]

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when x=0 is 0 mph as it is at rest at that time.

Also, when the time is x=12\ s, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

3 0
3 years ago
Read 2 more answers
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