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Travka [436]
3 years ago
15

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

t of this problem?

Mathematics
2 answers:
Tamiku [17]3 years ago
6 0
See the attachment..Hope it helps :-)

Sonja [21]3 years ago
5 0

Answer:

Numbers in the solution set of this problem = ( -5, ∞)

Step-by-step explanation:

Let the number be x.

Two-fifths of one less than a number =\frac{2}{5}(x-1)

Three-fifths of one more than a number =\frac{3}{5}(x+1)

We have two-fifths of one less than a number is less than three-fifths of one more than that number

That is

             \frac{2}{5}(x-1)-5

Numbers in the solution set of this problem = ( -5, ∞)

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So 8x3=24,

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You can get around the track 6 times in 24 minutes.

Step-by-step explanation:

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Mast 1 broadcasts radio signals that can be heard within a radius of 15 km.
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Find the midpoint P(16,7) and Q(12, -3) With work.
hichkok12 [17]

Answer:

(14, 2 )

Step-by-step explanation:

Use the midpoint formula

[0.5(x₁ + x₂), 0.5(y₁ + y₂) ]

with (x₁, y₁ ) = (16, 7) and (x₂, y₂ ) = (12, - 3)

midpoint = [0.5(16 + 12), 0.5(7 - 3) ] = [0.5(28), 0.5(4) ] = (14, 2 )

8 0
3 years ago
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How do I solve this equation step by step <br>3(8-2x)
Amanda [17]

3(8-2x)

Distribute/Multiply 3 into 8 and -2x

3*8 - 3*2x

Final Answer: 24 - 6x

4 0
3 years ago
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Find the standard deviation of the following set of data (1.2, 2.3, 5.2, 6.6, 4.8)
Vesna [10]

Answer:

<u>The correct answer s B. 2.21</u>

Step-by-step explanation:

There are three steps to calculate the standard deviation of the set of data given.

n = 5 (5 numbers in the set)

1. Calculate the mean, this way:

(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02

μ = 4.02

2. Calculate the variance, this way:

Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.

[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =

19.568/4 = 4.892

σ² = 4.892

3. Finally, the standard deviation. this way:

Standard deviation is the square root of the variance.

σ² = 4.892

√σ² = √4.892

σ = 2.21

<u>The correct answer s B. 2.21</u>

8 0
3 years ago
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