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Sedbober [7]
3 years ago
11

The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers

Mathematics
1 answer:
Inga [223]3 years ago
5 0

Answer:

39

Step-by-step explanation:

Let the three consecutive odd numbers be:

x+2, x+4, x+6.

The sum of the consecutive numbers is 123 i.e

x+2 + (x+4) + (x+6) = 123

x + 2 + x + 4 + x + 6 = 123

3x + 12 = 123

Collect like terms

3x = 123 — 12

3x = 111

Divide both side by the coefficient of x i.e 3

x = 111/3

x = 37

Now let us find the value of the three odd numbers. This is illustrated:

1st : x + 2 = 37 + 2 = 39

2nd : x + 4 = 37 + 4 = 41

3rd : x + 6 = 37 + 6 = 43

The smallest of the three consecutive odd numbers is 39

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GuDViN [60]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the  box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median)  corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

5 0
3 years ago
Evaluate the function f (x)  4 • 7x for x  1 and x = 2. Show your work
SashulF [63]
The function and the first value stated for x are confusing.

Doing some research, I found that the problem is to evaluate the function   f(x)=4.7^x    for x = - 1 and x  2.

The solution is:

1) For x = - 1

f(-1)=4. 7^{-1} =4. (1/7)=4/7

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First, multiply 25 with 24

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Next, add 600 with 9 hours

600 + 9 = 690

Note that there are 60 minutes in 1 hour. Divide 7 minutes with 60

7/60 = ~0.12 (rounded)

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hope this helps

6 0
2 years ago
Read 2 more answers
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kotykmax [81]

This question is incomplete, the complete question is;

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Step-by-step explanation:

Given that;

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so

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60 = a × 10 × 6

60 = 60a

a = 60 / 60

a = 1

Therefore the value of a is 1

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