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Andreyy89
3 years ago
8

The sum of a number and 4 times another number is 25. What is the equation?

Mathematics
1 answer:
Sophie [7]3 years ago
4 0
Let x and y represent the two numbers. The equation matching the word description is ...
  x +4y = 25
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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
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Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

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3 years ago
Write an algebraic equation that models the following statement.
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Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home
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Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

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Step-by-step explanation: The product of 15.1 and 0.9 will be smaller than 15.1. This is because 0.9 is smaller than 1 and since 15.1 * 1 is 15.1, we know that anything smaller than 1 will result in the product of it and 15.1 being smaller.

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2 years ago
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Sav [38]

Answer:

9.209

Step-by-step explanation:

On the thousandths place, 9 is bigger than 2.

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3 years ago
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