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3 years ago

If x, 2, x+2, 6 are in proportion ,find the value of x

Mathematics

2 answers:

jonny [76]3 years ago

5 0

Answer:

Answer is 6 the value of x is 6

Masteriza [31]3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

If x and 2 are in proportion and x+2 and 6 are in proportion, we can make them equal. We can do that by doing:

$\frac{x}{2} = \frac{x+2}{6}$

After cross-multiplying, we get 2x+4 = 6x.

Subtract 2x on both sides and we get 4 = 4x

divide 4 on both sides and we get x = 1

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3 years ago

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zloy xaker [14]

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3 years ago

Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year.

Drupady [299]

Answer:

Range = 13

Variance = 10.22

Standard deviation = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

Step-by-step explanation:

We are given the number of hurricanes that occurred in each year in a certain region.

8 9 8 7 9 15 5 6 8 4 12 7 8 2

Range:

The range of the data set is found by

Range = Maximum value - minimum value

The maximum value in the data set is 15

The minimum value in the data set is 2

Range = 15 - 2

Range = 13

Variance:

To find the variance, first compute the mean of the data set.

Mean = Sum/n

Mean = (8+9+8+7+9+15+5+6+8+4+12+7+8+2)/14

Mean = 108/14

Mean = 7.714

The variance is given by

σ² = (x - mean)²/(n - 1)

σ² = (8 - 7.714)² + (9 - 7.714)²+ (8 - 7.714)² + (7 - 7.714)² + (9 - 7.714)² + (15 - 7.714)² + (5 - 7.714)² + (6 - 7.714)² + (8 - 7.714)² + (4 - 7.714)² + (12 - 7.714)² + (7 - 7.714)² + (8 - 7.714)² + (2 - 7.714)²/(14 - 1)

σ² = 10.22

Standard deviation:

The standard deviation of the data set is given by

σ² = √σ

σ² = √10.22

σ² = 3.20

Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.

7 0

3 years ago

Chemists use pH as a measure of acidity or alkalinity of a solution. It uses the concentration of hydrogen ions H+ in a logarith

SpyIntel [72]

Answer:

$g(f(d)) = -dlog_{10}(0.5 * 10^{-4})$

Step-by-step explanation:

Given

$f(d) = (0.5 * 10^{-4})^d$

$g(H+) = -log_{10}(H+)$

Required

Find the composite function g(f(d))

We have:

$g(H+) = -log_{10}(H+)$

Substitute f(d) for H+

$g(f(d)) = -log_{10}(f(d))$

Substitute $f(d) = (0.5 * 10^{-4})^d$

$g(f(d)) = -log_{10}((0.5 * 10^{-4})^d)$

Apply law of logarithm

$g(f(d)) = -dlog_{10}(0.5 * 10^{-4})$

Hence, the function is:

$g(f(d)) = -dlog_{10}(0.5 * 10^{-4})$

7 0

3 years ago

Read 2 more answers

Can someone help me with the 29 please. I need help right now

Romashka-Z-Leto [24]

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3 0

3 years ago

If x, 2, x+2, 6 are in proportion ,find the value of x​

If x, 2, x+2, 6 are in proportion ,find the value of x