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2 years ago

5

The price of hamburgers at your favorite fast food place is going to increase by 25% in 3 months. The hamburgers you usually ord

er currently cost $3.00.

1 answer:

Paladinen [302]2 years ago

3 0

Answer:

The cost of the burger after the 25% increment is $3.75.

Step-by-step explanation:

25%=0.25

3*0.25=0.75

$3.00+$0.75=$3.75

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You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that

Nataly_w [17]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47$

And rounded up we have that n=99

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.13$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume the value for $\hat p =0.5$ since we don't have previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47$

And rounded up we have that n=99

4 0

3 years ago

Read 2 more answers

Miss Taylor graded 50 English research papers. Twelve of them received a grade of A. Miss Taylor drew a circle graph to display

nikdorinn [45]

<h3>Answer:</h3>

$\large\boxed{24\%}$

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to find how much percentage the circle graph is for "A" papers.

To solve this question, we would need to use information from the question.

Important information:

Graded 50 English research papers
12 of those papers had an "A" grade

With the information above, we can solve the question.

We know that there are 12 research papers that received an A and there are 50 research papers in total.

We would divide 12 by 50 in order to find the percentage of the papers that got an A.

$12\div50=24$

When you divide, you should get 24.

This means that 24% of the circle graph is devoted to "A" papers.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

3 0

3 years ago

Question: Consider the domain (D) and rule of each function. Determine the range of the function. 1. D = {0, 1, 2, 3}; f(x) = 3x

Maksim231197 [3]

For every function you need evaluate the function for every value in the domain D. And the collection of this values correspond to the range of the function.

1. $D = \{0,1,2,3 \}, R = \{f(0), f(1), f(2), f(3) \} = \{-5, -2, 1, 4 \}.$

2. $D = \{-1,0,1 \}; R= \{f(-1), f(0), f(1)\} = \{0, 1, 0 \} = \{0,1\}$

3. $D = \{-2,-1,0,1 \}; R = \{f(-2), f(-1), f(0), f(1) \} = \{0, -2, -2, 0 \} = \{-2,0\}$

4. $D = \{0,1,2,3 \}; R =\{f(0), f(1), f(2), f(3) \} = \{3, 1, -1, -3 \}$

5 0

3 years ago

hoa [83]

So for the rhombus to carry onto itself, it needs to start in one position and end up in that same position. In this case, (x,y) will need to end up on (x,y) after the reflections are done. Here what the options do:

A: y-axis, x-axis, y-axis

(x,y) -> (-x,y) -> (-x,-y) -> (x,-y)

B: x-axis, y-axis, y-axis

(x,y) -> (x,-y) -> (-x,-y) -> (x,-y)

C: y=x, x-axis, y=x, y-axis

(x,y) -> (y,x) -> (y,-x) -> (-x,y) -> (x,y)

D: x-axis, y=x, x-axis, y=x

(x,y) -> (x,-y) -> (-y,x) -> (-y,-x) -> (-x,-y)

The only option that starts as (x,y) and ends as (x,y) is C: y=x, x-axis, y=x, y-axis, therefore making that the correct answer.

3 0

3 years ago

Look at this graph: 100 90 70 60 50 40 30 20 10 0 30 50 60 70 What is the slope? Simplify your answer and write it as a proper f

White raven [17]

Answer:

Step-by-step explanation:

Nose amigo si supiera te ayudaría mucho

3 0

3 years ago

Read 2 more answers