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Helen [10]
3 years ago
8

Gradient answer it for bare points

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

Gradient is the slope of the line.

Use two points of the graphed line to find the slope, which is the change in Y over the change in x.

I'll use the points (4,0) and (6,8)

Slope = (8-0) / 6/4) = 8/2 = 4

The gradient is 4

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The value of the expression would be 11.

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3 (4 - n) + 8

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Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
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Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

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