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Kipish [7]
2 years ago
8

Which of the following is the solution to the equation 2/3 over 3x = 12?

Mathematics
1 answer:
andrey2020 [161]2 years ago
7 0

Answer:

<u>x = 54 and none of the alternatives given is correct</u>

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

<u>x = 54 and none of the alternatives given is correct</u>

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6 0
2 years ago
Find x 58 degrees and adjacent 4.0
PilotLPTM [1.2K]
A special kind of triangle is a right triangle whose definite characteristic is having a 90° angle. It is also special because there are derived trigonometric formulas/identities that can be applied to it. A right triangle has three sides: hypotenuse, adjacent side and opposite side. The hypotenuse is the longest side of the right triangle. You can determine this visually, if not, quantitatively. The other sides are with respect to a given angle.

For the problem, it might have asked for the opposite side or the hypotenuse. We use the cosine function to find the hypotenuse:

cos 58° = adjacent/hypotenuse = 4/hypotenuse
hypotenuse = 7.55 units

Then, we use the tangent function to find the opposite side.

tan 58° = opposite/adjacent = opposite/4
opposite = 6.4 units
4 0
2 years ago
See attachment for the whole question.
KengaRu [80]

Using probability concepts, it is found that:

a) \frac{4}{13} probability of drawing a card below a 6.

b) \frac{4}{9} odds of drawing a card below a 6.

c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

Item a:

  • In a standard deck, there are 52 cards.
  • There are 4 types of cards, each numbered 1 to 13. Thus, 4 \times 5 = 20 are less than 6.

Then:

p = \frac{20}{52} = \frac{4}{13}

\frac{4}{13} probability of drawing a card below a 6.

Item b:

  • Converting from probability to odd, it is:

\frac{4}{13 - 4} = \frac{4}{9}

\frac{4}{9} odds of drawing a card below a 6.

Item c:

  • The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
  • Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

A similar problem is given at brainly.com/question/24233657

7 0
3 years ago
4,3,2,5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br> 1. What is the mean of the data set?
tankabanditka [31]

Answer:5.5

Step-by-step explanation:

when all the numbers are added up =88

88 divide by 16 because their is 16 numbers in this sequence=5.5

3 0
3 years ago
53, 64, 19, 25, 88, 48, 46<br>Mean:<br>Mode:<br>Median:<br>Range:<br>​
levacccp [35]

Answer:

Mean: 49

Mode: none, since all the numbers only appear once

Median: 48

Range: 69

Step-by-step explanation:

53+64+19+25+88+48+46 = 343

343/7= 49 (mean)

19, 25, 26, 48, 53, 64, 88 (middle number is 48, so the median is 48)

Range= largest number-smallest number

88-19= 69 (range)

7 0
3 years ago
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