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choli [55]
3 years ago
8

Is 6(x + 0.4) equivalent to 3(2x +0.8)? Explain.

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

Answer:

yes, this is because if you put the same value in the equations, you will get the same answer making them equivalent

Step-by-step explanation:

6(x + 0.4) =6x+2.4

3(2x +0.8)=6x+2.4

same equation.

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Find the z score that has 70.54% of the distribution area to its right
Alik [6]

The z score that has 70.54% of the distribution area is 9.92

<h3>What is a z-score?</h3>

The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.

For the random variable x, the z-score is;

z = (x - 11)/2

therefore, 70.54% of the area under the curve lies to the right of x,

then the area to the left of x is;

100 - 70.54 = 29.46%

From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.

Therefore, we get;

(x - 11)/2 = -0.54

x - 11 = -0.54(2)

x = 9.92

The z score  is 9.92

Learn more about z score here;

brainly.com/question/4167122

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7 0
1 year ago
A market research team compiled the following discrete probability distribution, where X represents the number of automobiles ow
rodikova [14]

Answer:

The standard deviation of X is 0.7

Step-by-step explanation:

We are given the following distribution:

    x:     0        1         2       3    

P(x):    0.3     0.5     0.2     0.4

We have to find the standard deviation of X.

Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\\\E(x) =0(0.3) + 1(0.5) + 2(0.2) + 3(0.4)\\\\E(x) = 2.1\\\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(x^2) =0(0.3) + 1(0.5) + 4(0.2) + 9(0.4)\\\\E(x^2) = 4.9\\\\Var(x) = E(x^2) - (E(x))^2 = 4.9-(2.1)^2 = 0.49\\\\\sigma(x) = \sqrt{Var(x)} =\sqrt{0.49} = 0.7

Thus, the standard deviation of X is 0.7

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A shoreline is eroding at a rate of 1/3 3 foot per 3 months. How many feet are eroding per year?
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