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Serjik [45]
2 years ago
10

What is the solution of log2 (3x-7) =3

Mathematics
2 answers:
Valentin [98]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

because the log is base 2 you can remove the log by raing 2 to the power of each side:

2^{log2 (3x-7)} = 2^{3}

the 2 and log2 cancel leaving:

3x-7 = 2^{3}

this means we can now solve through simple algebra:

3x-7 = 8\\3x = 8 + 7\\3x = 15\\3x/3 =15/3\\x = 5

hammer [34]2 years ago
5 0
The Solution X = 5.
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11. A basketball team of 16 players consists of 6 guards, 7 forwards, and 3 centers. The coach decides to randomly select 5 play
Citrus2011 [14]

Answer:

0.2163

Step-by-step explanation:

Firstly, we need to evaluate the total number of possible outcomes. Since there are 16 players, and we are selecting just 5, the total number of possibilities is 16C5= 4,368

Now, we know we need 2 guards from 6 , 2 forwards from 7 and 1 center from 3 to start the game. Since we are selecting, it is a combination problem. These can be done in the following number of ways:

6C2 * 7C2* 3C1

The probability is thus (6C2 * 7C2* 3C1 )/16C5 = 945/4368 = 0.2163

8 0
2 years ago
Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are
jok3333 [9.3K]
To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.

If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.

Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
8 0
2 years ago
Read 2 more answers
Victor is enlarging a poster for a school baseball match. The graph below shows the size y of the poster after x enlargements: g
Norma-Jean [14]
For this case we have the following function:
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 Answer:
 
the y-intercept of the graph represents:
 
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3 0
2 years ago
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) for a particular diamond mine, 77% of the diamonds fail to qualify as "gemstone grade". a random sample of 112 diamonds is ana
sweet [91]

We use the z statistic:

z = (x – u) / s

 

But first let us calculate the standard deviation s, sample x and mean u.

s = sqrt (n p q)

s = sqrt (112 * 0.77 * (1 – 0.77))

s = 4.45

 

x = 0.81 * 112 = 90.72

 

u = 0.77 * 112 = 86.24

 

So the z score is:

z = (90.72 – 86.24) / 4.45

z = 1.00

 

From the standard tables, the P value at z = 1.00 using right tailed test is:

<span>P = 0.1587 = 15.87%</span>

7 0
2 years ago
A 3m ladder stands on horizontal ground and reaches 2.8 m up a vertical wall. how far is the foot of the ladder from the base of
ivolga24 [154]
1.08 m. is the answer because you would use the pythagorean theorem to solve it.  
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b=1.08
8 0
2 years ago
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