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Neporo4naja [7]
3 years ago
11

Simplify 3{[3(9 – 2)] + [7(8 – 1)]}

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

<u>210</u>

Step-by-step explanation:

Use the order of operations pemdas( <u>p</u>arenthesis, <u>e</u>xponent, <u>m</u>ultiply, <u>d</u>ivide, <u>a</u>dd, <u>s</u>ubtract)

first do everything within the parenthesis.

3 ( ( 3 (9-2) ) + ( 7 (8-1) ) )

3 ( ( 3 (7) + ( 7 ( 7 ) ) )

3 ( ( (21) + (49) ) ) )

3 ( ( 21 + 49 ) )

3 ( 70 )

3 (70) = 70 + 70 + 70 = 140 + 70 = 210

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Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml
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<h2>Answer:</h2>

a)

The probability that both televisions work is:  0.42

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<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

          9-3=6

a)

The probability that both televisions work is calculated by:

=\dfrac{6_C_2}{9_C_2}

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42

b)

The probability at least one of the two televisions does not​ work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

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and the probability both do not work is:

=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833

Hence, Probability that atleast does not work is:

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