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NeX [460]
3 years ago
7

The 8 students in Mrs. Allen's class were asked how many minutes it takes them to get to school in the morning. Here is what the

y answered: 4, 12, 9, 6, 3, 15, 15, 6 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Mathematics
1 answer:
swat323 years ago
3 0

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

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Rectangle ABCD is dilated to create rectangle A'B'C'D' . The width of rectangle ABCD is 12 feet. The width of rectangle A'B'C'D'
Ierofanga [76]

The area of rectangle A'B'C'D' is 32 square feet

Step-by-step explanation:

A dilation is a transformation that produces an image that is the

same shape as the original, but is a different size

A dilation stretches or shrinks the original figure

The figure and its image after dilation are similar

If two rectangles are similar, then

  • \frac{w_{1}}{w_{2}}=\frac{l_{1}}{l_{2}} = constant ratio
  • \frac{P_{1}}{P_{2}}=\frac{w_{1}}{w_{2}}
  • \frac{A_{1}}{A_{2}}=(\frac{w_{1}}{w_{2}})^{2}

∵ Rectangle ABCD is dilated to create rectangle A'B'C'D'

∴ Rectangle ABCD is similar to rectangle A'B'C'D'

∵ The width of rectangle ABCD is 12 feet

∵ The width of rectangle A'B'C'D' is 8 feet

∴ \frac{w_{1}}{w_{2}}=\frac{12}{8}

- Simplify the ratio to its lowest term by divide up and down by 4

∴ \frac{w_{1}}{w_{2}}=\frac{3}{2}

∴ The scale factor of dilation is \frac{3}{2}

Let us use the rule of the similar rectangles above

∵ The area of rectangle ABCD is 72 square feet

∵ \frac{A_{1}}{A_{2}}=(\frac{w_{1}}{w_{2}})^{2}

∴ \frac{72}{A_{2}}=(\frac{3}{2})^{2}

∴ \frac{72}{A_{2}}=\frac{9}{4}

- By using cross multiplication

∴ A_{2} × 9 = 72 × 4

∴ 9 A_{2} = 288

- Divide both sides by 9

∴ A_{2} = 32 feet²

∴ The area of rectangle A'B'C'D' = 32 feet²

The area of rectangle A'B'C'D' is 32 square feet

Learn more:

You can learn more about area of shapes in brainly.com/question/6530759

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
Which two kinds of whales have the closest number alive?
tangare [24]

The answer is: Fin whale and Sei whale.

The explanation for this exercise is shown below:

To solve this problem you must use the table given in the figure attached, which shows the numbers of whales alive today. In the column titled "Population" you can see these numbers.

Therefore, when you analize the table, you can conclude that the two kinds of whales that have the closest number alive are: Fin whale, with a population of 55,000 and Sei whale, with a population of 54,000.

5 0
3 years ago
.
zloy xaker [14]

Answer:

1,200

Step-by-step explanation:

1 meter = 1000 millimeters

20 centimeters = 200 millimeters

6 0
3 years ago
Read 2 more answers
Cheddar cheese costs £7.50 for 1kg<br> Marie buys 200g of cheese <br> How much does she pay
andrew-mc [135]
1kg = 1000g
1000 divided by 5 = 200
7.50 divided by 5 = 1.5
= £1.50
3 0
3 years ago
A student solves a problem correctly 40 times out of 72 tries. Based on this data, what is the probability that the student inco
suter [353]

Answer:

The probability of the student incorrectly solves the next problem is 44%.

Step-by-step explanation:

Let E be the event of solving a problem correctly.

Then E' is the event that the problem is solved incorrectly.

Now, recall the definition of probability.

probability of an event = \frac{number of favorable events}{total number of events}

So,

p(E) = \frac{40}{72}

Also,

p(E) + p(E') = 1 and

p(E') = 1 - p(E)

= 1 - \frac{40}{72}

= \frac{72-40}{72}

= \frac{32}{72}

= \frac{4}{9}

= \frac{4}{9} (100)

= 44% rounded.

Hence, the probability of the student incorrectly solves the next problem is 44%.


4 0
3 years ago
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