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Trava [24]
3 years ago
5

A cylinder has a volume of 792 m and a radius of 6 m. Find its height.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Answer:

7 m

Step-by-step explanation:

you divide the volume by the radius I'm pretty sure. that's what I did and I got 7

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The oil prices for 2014, rounded to the nearest dollar, were: 95, 101, 101, 102, 102, 106, 104, 97, 93, 84, 76, 59. what is the
kipiarov [429]
  • Interquartile Range (IQR) = Q_3-Q_1 , with Q_3 as the upper quartile and Q_1 as the lower quartile.

Firstly, rearrange the data so that it's in ascending order: \{59,76,84,93,95,97,101,101,102,102,104,106\}

Next, find the median:

\{59,76,84,93,95,\boxed{97,101,}101,102,102,104,106\}\\\\\frac{97+101}{2}\\\\\frac{198}{2}\\\\99

Now to find the lower quartile, find the "median" of the data set that's to the left of 99:

\{\overbrace{59,76,84,93,95,97}^{\textsf{to the left of the median}},101,101,102,102,104,106\}\\\\\{\overbrace{59,76,\boxed{84,93}95,97}^{\textsf{to the left of the median}},101,101,102,102,104,106\}\\\\\frac{84+93}{2}\\\\\frac{177}{2}\\\\88.5

Now to find the upper quartile, it's the similar process as finding the lower quartile, except that you are finding the "median" of the data set to the right of 99:

\{59,76,84,93,95,97,\overbrace{101,101,102,102,104,106}^{\textsf{to the right of the median}}\}\\\\\{59,76,84,93,95,97,\overbrace{101,101,\boxed{102,102} 104,106}^{\textsf{to the right of the median}}\}\\\\\frac{102+102}{2}\\\\\frac{204}{2}\\\\102

Now that we have the upper and lower quartile, subtract them:

102-88.5=13.5

<u>In short, the IQR of this data set is 13.5.</u>

8 0
3 years ago
Emily baked 3 batches of 13 sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her nei
alisha [4.7K]

Answer:

Emily have 33 cookies.

Step-by-step explanation:

Given that:

Batches of cookies baked = 3

Number of cookies in each batch = 13

Total number of cookies = 3 * 13 = 39 cookies

She ate 2 cookies.

Remaining = 39 - 2 = 37 cookies

She gave 10 to her neighbor

Remaining = 37 - 10 = 27 cookies

1 batch = dozen cookies

half batch = 6 cookies

Total cookies = 27 + 6 = 33 cookies

Hence,

Emily have 33 cookies.

7 0
3 years ago
Which number is the largest-10; -5; -1/2 (-0.50) -1/3 (-0.33)
astra-53 [7]
(-10)>(-5)>(-0.11)>(1/4), so (-1/2)*(-0.5) is the largest
8 0
3 years ago
I need help with this.
Sloan [31]

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

4 0
3 years ago
Randy wants to run half a marathon. Half a marathon is 13.1 miles. if she wants to run the race in 2 hours what rate(in minutes
IRINA_888 [86]

Answer:

9.16 minutes per mile

At 10 miles, she is short of her intended rate

Step-by-step explanation:

2 hours means 60 * 2 = 120 minutes

Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:

120/13.1 = 9.16 minutes per mile

Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:

90/10 = 9 min/mi

Well, Randy is short of her intended rate

3 0
3 years ago
Read 2 more answers
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