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2 years ago

Evaluate 3^−1⋅(4⋅6)⋅2^−3

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

$3^{-1}*(4*6)*2^{-3}=1$

Step-by-step explanation:

$3^{-1}*(4*6)*2^{-3}$

$\frac{1}{3}*24*\frac{1}{8}$

$\frac{1}{3}*3$

$1$

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mr Goodwill [35]

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x³*y³ in³

8 0

2 years ago

Read 2 more answers

A card is drawn from a standard deck of 52 playing cards. If the card is a club, a fair coin is flipped 9 times and the number o

olasank [31]

Answer: There are 18 elements in the sample space for this experiment

Step-by-step explanation:

Total cards = 52

Total outcomes on tossing a coin = 2 [1 head , 1 tail]

If the card is a club, a fair coin is flipped 9 times and the number of heads flipped is noted (but card drawn is not noted)).

Possible outcomes for heads = 0,1,2,...,9

So sample space for this event = {0,1,2,3,4,5,6,7,8,9}   (Total 10 elements )  (i)

If it is not a club, the coin is only flipped 3 times, but this time the result of each flip is noted(but card drawn is not noted).

Sample space with all possible outcomes ={TTT,TTH, THT, HTT, HTH,HHT,THH,HHH} (Total 18 elements ) (ii)

From (i) and (ii), Total elements in the sample space for this experiment = 10+8 = 18

Hence, there are 18 elements in the sample space for this experiment

4 0

3 years ago

What is the distance between Harry’s home and his office?

Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

$Speed(s)=\frac{Distance(d)}{Time(t)}$

Given:

Speed (s) = 30 miles/hour

Then the relation between distance and time is:

$s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)$

If Speed was 60 miles/hour the time taken is $(t-\frac{1}{4})$ hours.

Then the relation between distance and time is:

$s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)$

Use the value of d = 30t in (ii)

$d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour$

Determine the distance as follows:

$d=30t\\=30\times\frac{1}{2} \\=15\ miles$

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0

3 years ago

Help me with this question

SashulF [63]

Answer:

15/4

Step-by-step explanation:

The formula for slope is:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

3 0

2 years ago

if my grade is 69% what will my grade be if i got a 3.3 of 4 on a essay and it's worth 25% of my grade?

juin [17]

Answer:

72.4%

Step-by-step explanation:

The essay is 25% of your grade, and the rest is 75% of your grade.

25 (3.3/4) + 75 (0.69) ≈ 72.4

6 0

3 years ago