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2 years ago

Find the margin of error for the given values of c, o, and n.

Mathematics

1 answer:

Alika [10]2 years ago

4 0

Using the z-distribution, it is found that the margin of error is of 0.059.

We are given the standard deviation for the population, hence the z-distribution is used.

<h3>What is the margin of error for a z-confidence interval?</h3>

It is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

z is the critical value.

$\sigma$ is the population standard deviation.

n is the sample size.

In this problem, the parameters are:

$\sigma = 0.25, n = 49$ .

Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.

Then:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.645\frac{0.25}{\sqrt{49}}$

$M = 0.059$

The margin of error is of 0.059.

You can learn more about the z-distribution at brainly.com/question/12517818

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An architect is drafting plans for a new supermarket. There will be a space 144 inches long for rows of NESTED shopping carts (T

slamgirl [31]

Answer:

Step-by-step explanation:

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3 years ago

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Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km

vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering μ as the Mean and σ as the Standard deviation. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but that kind of exercises is not meant to find that probability directly but by using this process.

After we normalize the probability, now we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

A normal distribution function is always increasing, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive, and because of that:

P(x≤0)=P(z≤-9)≈0

5 0

3 years ago

Please help, will give brainlist!

eimsori [14]

Answer:

The answer is B. (2.5,-0.5).

Step-by-step explanation:

You would substitute the ordered pair into the first equation, making it

3(2.5)-(-0.5)=8. So the equation would become 7.5-(-0.5)=8, or 7.5+0.5=8. 8=8 is a true statement.

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4 years ago

Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7 A. 2 + 10 × 7 B. 2 ×

Yuliya22 [10]

The correct answer is C. 10×7×2

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4 years ago

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Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.

34kurt

Answer:

○ $y = \frac{1}{4}x - \frac{1}{2}$

Step-by-step explanation:

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$