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Alona [7]
3 years ago
9

What is two thirds cubed

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

\frac{8}{27}

Step-by-step explanation:

When you cube a fraction, you cube the top and bottom. Cubing 2 gives us 8 and cubing 3 gives us 27. Their GCF is 1 so that is the simplest form.

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The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of
LenaWriter [7]

Answer:

<h3>5 years</h3>

Step-by-step explanation:

To get the median of the ages given

2, 4, 5, 6, 7, 8, 8, 8, 0, 3, 5, 9, 1, 4, 7, 6, 1, 2, 4, 4, 8

First we will need to rearrange the median ages in ascending order (from lowest to highest)

0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9

Next is to locate the middle value of the arranged data

(0, 1, 1, 2, 2, 3, 4, 4, 4, 4), 5, (5, 6, 6, 7, 7, 8, 8, 8, 8, 9)

The total values in both parenthesis are the same(10 in numbers) leaving 5 as the middle number.

Hence the median age of the people in the pool is 5years

5 0
3 years ago
5/3 dived by 3? Plz help
WINSTONCH [101]

Answer:

5/9 or 0.5

Step-by-step explanation:

i hope this helps :)

7 0
3 years ago
Read 2 more answers
Answer this pls fast ASAP
Katarina [22]

Answer:

14.13 units^2.

Step-by-step explanation:

The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.

pi * 3^2 = pi * 9 = 9pi.

This is a semicircle, so the area will be half of the whole circle.

9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.

Hope this helps!

4 0
3 years ago
Read 2 more answers
In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know
elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, \bar{x} = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

H_{0}: \mu = 101.5\\H_A: \mu> 101.5

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

4 0
3 years ago
Find o% of 176:<br> Find 100% of 176:<br> Find 50% of 176:<br> Find 25% of 176:<br> Find 75% of 176:
DaniilM [7]
0
176
88
44
132
Hope this helps
3 0
3 years ago
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