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Tcecarenko [31]
3 years ago
12

The cone-shaped container for the echidna treats holds to 218 cubic centimeters of ants and has a radius of 4 cm. rounded to the

nearest whole number, what is the height of the container? use 3.14 for pie symbol
Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

13 cm

Step-by-step explanation:

To find the answer, you can use the formula to calculate the volume of a cone and isolate the height:

V= πr^2\frac{h}{3}

V= volume= 218 cubic centimeters

π= 3.14

r= radius= 4 cm

h=height

218= 3.14*4^2*\frac{h}{3}

218*3=3.14*16*h

654=50.24*h

h=654/50.24

h=13

According to this, the height of the container is 13 cm.

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What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81 times 10 to the power of negative 11 4.81×10−13 4.81 ti
Anettt [7]

The scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Acccoring to the given question.

We have a number 48,100,000,000,000.

As we know that, scientific notaion is a way of expressing numbers that are too large or too small to be conveniently written in a decimal form.

Therefore,

The scientific notaion of 48,100,000,000,000 is given by

48,100,000,000,000 = 4.81 ×  10^13

Hence, the scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Find out more information about scientific notaion here:

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4 0
1 year ago
Which of the following equations best represents the regression line for the data given in the
True [87]

The regression equation for the data given is y= -8.57 -2.31x

Step-by-step explanation:

The first step is to form a table as shown below;

x           y          xy         x²         y²

1            4           4          1          16

2            1            2          4         1

3            5          15         9         25

4             10         40        16       100

5             16         80        25      256

6              19        114       36        361

7               15       105       49       225

28             60       360      140     984  ------sum

A linear regression equation is in the form of y=A+Bx

where ;

x=independent variable

y=dependent variable

n=sample size/number of data points

A and B are constants that describe the y-intercept and the slope of the line

Calculating the constants;

A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²

A=(60)(140) - (28)(360)  / 7(140)-(28)²

A=8400 - 10080 /980-784

A= -1680/196

A= - 8.57

B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²

B= 7(360)-(28)(60) / 7(60) - (28)²

B=2520 - 1680 /420-784

B=840/-364

B= -2.31

y=A+Bx

y= -8.57 -2.31x

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Keywords : equations, regression line, data

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Emely has 25 onions and 14 peppers that she grew in her garden. homw many more oinons does she have that peppers
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Answer:

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Step-by-step explanation:

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The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.
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