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2 years ago

What is the diameter of a sphere with volume of 7483

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

5 0

Answer:

The diameter of the sphere with the given volume is 24.268 units

Step-by-step explanation:

Volume of a sphere is given by the equation:

$V=4/3\pi r^3$

Plug in your volume and solve for r

$7483=4/3\pi r^3$

$7483(3/4)=\pi r^3$

$5612.25=\pi r^3$

$5612.25/\pi =r^3$

$1786.43=r^3$

$\sqrt[3]{1786.43}=r$

$r = 12.134$ units

$d = 2r$

$d = 2(12.134)$

$d = 24.268$ units

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The measures of the angles of a triangle are shown in the figure below. Solve for x.

sweet-ann [11.9K]

Answer:

x = 2

Step-by-step explanation:

180= 90 + 57 + Z

Z = 180 - 90 - 57

Z = 33

33 = 7X + 19

7X = 33 - 19

7X = 14

X = 2

7 0

2 years ago

During the 14 days 2,744 people Visited a new store. The same number of people Visited the store each day. About how many people

Pie

You just said that "the same number of people visited each day",
so there's no "about" about it. It has to be an exact number.

Each day, (2744)/(14) = 196 people visited.

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3 years ago

Read 2 more answers

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

Find the missing term in the following sequence <br><br> -115.2, -109.9, -104.6, -99.3, -94

ohaa [14]

The next term is -88.7

7 0

3 years ago

what is an equation for the line that passes through the points (0,-4) (7,11) in slope-intercept form

fomenos

Answer:

y=15/7x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(11-(-4))/(7-0)

m=(11+4)/7

m=15/7

y-y1=m(x-x1)

y-(-4)=15/7(x-0)

y+4=15/7(x)

y+4=15/7x

y=15/7x-4

4 0

3 years ago