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Law Incorporation [45]
3 years ago
15

The grouped frequency table below represents the lengths of the fingers of some

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

10.3

Step-by-step explanation:

When calculating the mean from a grouped frequency table, first you must estimate what the value is through finding the number halfway between the value that x is greater than and less than:

The number halfway between 8 and 9 is 8.5

The number halfway between 9 and 10 is 9.5

The number halfway between 10 and 11 is 10.5

The number halfway between 11 and 12 is 11.5

Next, you have to multiply the estimated value by its frequency:

8.5 x 3 = 25.5

9.5 x 11 = 104.5

10.5 x 17 = 178.5

11.5 x 9 = 103.5

Then, add up the values you calculated and divide them by the total frequency (all the frequencies added up).

total estimated length: 25.5 + 104.5 + 178.5 + 103.5 = 412

total frequency: 3 + 11 + 17 + 9 = 40

412/40 = 10.3

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lawyer [7]
65.1 will be the answer. 
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What is Pi equal to (First 20 digits)
Juliette [100K]

Answer:

3.14159265358979323846

Step-by-step explanation:

3 0
3 years ago
Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.
Nadya [2.5K]
We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

-0.5(3*2+5)=-1.5*2+2.5

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.
4 0
3 years ago
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Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
creativ13 [48]

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

8 0
4 years ago
When he exercises after work,Marcus runs an average mile in 8.3 minutes. At this average, how many miles will he run after 36 mi
KIM [24]

He will run 4.3 miles in 36 minutes.

Step-by-step explanation:

Given,

8.3 minutes running = 1 mile distance

In one minute;

1 minute running = \frac{1}{8.3}\ miles

After 36 minutes;

36 minutes running = 36*1 minute running distance

36 minutes = 36*\frac{1}{8.3}

36\ minutes=\frac{36}{8.3}\\36\ minutes= 4.3 miles

He will run 4.3 miles in 36 minutes.

Keywords: distance, speed

Learn more about distance at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

4 0
3 years ago
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