The slope of a line is represented by the variableОХОymb.

Mathematics

2 answers:

Tema [17]3 years ago

6 0

The answer for this question is b

Romashka-Z-Leto [24]3 years ago

3 0

This question asks you what variable represents the slope of a line.

Your answer would be the variable "m"

In the standard slope equation, the equation is:

y = mx + b

Where as:

m = slope

b = y-intercept

Whenever you change "m" in the equation, you would see that the slope will change as well.

The bigger your "m" is, the steeper your slope is. The smaller "m" is, the less steep your slope would be.

Answer:

"m"

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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

marysya [2.9K]

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.

First we compute the $\hat{p}$ value:

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

Next 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:

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