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Ede4ka [16]
3 years ago
15

What is the mean of the data set? 61, 38, 40, 53

Mathematics
2 answers:
Anit [1.1K]3 years ago
8 0

Answer:

48

Step-by-step explanation:

You are solving for the mean of the data set. To do so, add all the numbers together, and <em>divide by the amount of numbers in the set</em>.

Note that there are 4 numbers given to you: 38, 40 , 53, 61.

First, add the 4 numbers together:

38 + 40 + 53 + 61 = 192

Next, divide 4 from the total gotten:

192/4 = 48

48 is the mean of the data set.

~

nydimaria [60]3 years ago
6 0

Answer:

<h2>48</h2>

Step-by-step explanation:

Mean = \frac{Total \: value}{no  \:of  \:given  \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48

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Step-by-step explanation

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3 years ago
A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

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Step-by-step explanation:

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