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labwork [276]
3 years ago
7

Pl help is for homwork

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

Sabrina bought 3 pounds of bananas.

Step-by-step explanation:

Given equations are:

a + b = 8       Eqn 1

0.95a + 1.10b = 8.05    Eqn 2

As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.

Multiplying Eqn 1 by 0.95

0.95(a+b=8)

0.95a+0.95b=7.60     Eqn 3

Subtracting Eqn 3 from Eqn 2

(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60

0.95a+1.10b-0.95a-0.95b=0.45

0.15b = 0.45

Dividing both sides by 0.15

\frac{0.15b}{0.15}=\frac{0.45}{0.15}\\b = 3

Hence,

Sabrina bought 3 pounds of bananas.

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*Please I need help quickly* Approximate the mean of the frequency distribution for the ages of the residents of a town.
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Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

 

     Age                      Frequency (f)               X                    X \times f

     0 - 9                            30                         4.5                   135

    10 - 19                           32                        14.5                  464

    20 - 29                         12                         24.5                 294

    30 - 39                         20                        34.5                 690

    40 - 49                         25                        44.5                1112.5

    50 - 59                         53                        54.5                2888.5

    60 - 69                         49                        64.5                3160.5

    70 - 79                          13                         74.5                968.5

    80 - 89                  <u>        8        </u>                  84.5         <u>        676        </u>

    Total                      <u>      242      </u>                                  <u>      10389      </u>

Now, the mean of the frequency distribution is given by the following formula;

                          Mean =  \frac{\sum X \times f}{\sum f}

                                     =  \frac{10389}{242}  = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.

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Answer:

>

Step-by-step explanation:

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