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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

The margin of error is of:

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that $\sigma = 0.21$

Sample of 450:

This means that $n = 450$

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

$M = 1.037\frac{0.21}{\sqrt{450}}$

$M = 0.01$

The margin of error is of 0.01.

4 0

3 years ago

Which rule describes the translation?

dolphi86 [110]

Answer: <span>(x, y) → (x + 8, y – 3)

Justification:

</span>1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.

2) Translating 8 units to the right means: x → x + 8

3) Translating 3 units down means y → y - 3

4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)

4 0

3 years ago

Read 2 more answers

At a fast food burrito restaurant, customers ask servers to add particular ingredients to their burrito. One popular ingredient

Gnesinka [82]

25 ounces of guacamole are still expected to be available from batch.

Step-by-step explanation:

Given,

Quantity of guacamole in one serving = 2.2 ounces

Quantity of guacamole in one batch = 80 ounces

Quantity of guacamole in 25 servings = 2.2*25 = 55 ounces

Guacamole left = Quantity in batch - Quantity of 25 servings