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yawa3891 [41]
3 years ago
6

Hal says the volume of the sphere shown below 36 cm3. Find the correct volume, using 3.14 for pi. Round to the nearest hundredth

. What was Hal's likely error?
Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

Volume of sphere is 35.98cm^3

Step-by-step explanation:

It is given that Hal says that volume of sphere is 36cm^3

Volume of sphere is given by V=\frac{4}{3}\pi r^3

\frac{4}{3}\pi r^3=36

\pi r^3=27

r^3=8.594

r=2.048cm

Now using 3.14 in place of \pi

Now volume of sphere is

V=\frac{4}{3}\times 3.14\times 2.048^3

V=35.98cm^3

Therefore volume of sphere when we use 3.14 in place of \pi is 35.98cm^3

And the Hal likely error is he uses \pi directly for calculation of volume.

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Here we will tell you what 7 percent of 522 (7% of 522) is and then show you how we calculated it. The answer to "What is 7 percent of 522?" is:

36.54
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Sally Reynolds sells real estate along the coastal area of Northern California. Below are her total annual commissions between 2
tatiyna

Answer:

Mean = $229.32

Median = $231.15

Mode = $268.4

Step-by-step explanation:

Mean = the average.

The average is the sum of variables divided by the number of variables.

x = each variable

N = number of variables = 11

Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11

Mean = 2522.56/11 = $229.32

b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.

So, to find the Median, we first arrange the variables in ascending order.

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205.17

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253.82

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Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.

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c) Mode is the number that appears the most in a distribution.

In this distribution, only 268.4 appears more than once.

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8 0
3 years ago
The length of segment HJ if H lies at (-1,7) and J lies at (8,-5)​
sukhopar [10]

Answer:

<h3>HJ = 15</h3>

Step-by-step explanation:

To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5)​, we will use the formula for calculating the distance between two points as shown;

D = √(x₂-x₁)²+(y₂-y₁)²

From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5

HJ = √(8-(-1))²+(-5-7)²

HJ = √(8+1)²+(-12)²

HJ = √81+144

HJ = √225

HJ = 15

<em>Hence the length of segment HJ is 15 units</em>

5 0
3 years ago
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
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Step-by-step explanation:

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In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

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Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

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