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Vera_Pavlovna [14]
3 years ago
14

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality

to show the voltage amount that is within the necessary range.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

Answer:

<em>The compound inequality that shows the voltage amount the necessary range is  3.5</em>

Step-by-step explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.

Suppose, the amount of voltage is V volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means:  V>3.5 or 3.5

and voltage amount is less than 7.2 volts means:  V

Thus, the compound inequality by combining the above two inequalities will be:   3.5

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The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5
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Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score,\bar x=3.5

Score(x)   frequency   C.F

1                  1                 1

2                  3                4

3                  f                 15(4+f=4+11)

4                  13               28

5                   4               32

\sum f_i=1+3+f+13+4=21+f

\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f

(\bar x)=\frac{\sum f_ix_i}{\sum f_i}

Using the formula

3.5=\frac{79+3f}{21+f}

73.5+3.5f=79+3f

3.5f-3f=79-73.5

0.5f=5.5

f=\frac{5.5}{0.5}=11

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}

Median=\frac{16th+17th}{2}=\frac{4+4}{2}=\frac{8}{2}=4

7 0
3 years ago
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