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3 years ago

Solving problems with decimal points

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

Answer: what do you need help with

Explanation: you never posted a problem

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An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv

nlexa [21]

Answer:

n=1041 or higher

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

2) 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:

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

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 $ME =\pm 0.04$ 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)

Since we don't have a prior estimation for th proportion of interest, we can use this value as an estimation $\hat p =0.5$ And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{2.58})^2}=1040.06$

And rounded up we have that n=1041 or higher.

8 0

3 years ago

What does mean time as many

Lorico [155]

Times as many means multiply

hope this helps

6 0

3 years ago

What is addition and subtraction

choli [55]

$\huge\text{Hey there!}$

$\huge\textsf{What is addition \& subtraction?}$

$\huge\textbf{What is addition?}$

$\bullet\large\textbf{ Well, \underline{addition} simply means when you're ADDING}\\\large\textbf{2 or more numbers from each other to get the result of}\\\large\textbf{a number.}$

$\huge\textbf{Random notes}$

$\star\large\textbf{ Usually, you start working with addition when you're in}\\\large\textbf{pre-kindergarten (pre-k also known as head-start)}\\\\\star\large\textbf{ When, you're adding you are going upward.}\\\\\star\large\textbf{ Addition sometimes come after you learn how to count}\\\large\textbf{the basic numbers and so forth because adding never}\\\large\textbf{ends if you really think about.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 2 \boxed{\bf +} 5 = 7}\\\\\\\heartsuit\large\textbf{ You got the result of 7 because you started at 2 \& went}\\\larg\textbf{up 5 spaces to your right on your number and you landed}\\\large\textbf{on 7.}$

$\huge\textbf{What is subtraction?}$

$\bullet\large\textbf{ Well, subtraction simply means you're taking away. Often}\\\large\textbf{people call it take aways.}$

$\huge\textbf{Random notes:}$

$\star\large\textbf{ Usually, you start working with subtraction when you're}\\\large\textbf{in pre-kindergarten (pre-k also known as headstart)}\\\\\star\large\textbf{When you're subtracting you are doing downward.}\\\\\star\large\textbf{You focus more on subtraction when you're counting}\\\large\textbf{backwards.}$

$\huge\textbf{Example:}$

$\heartsuit\large\textbf{ 7 \boxed{\bf -} 5 = 2 }\\\\\\\heartsuit\large\textbf{ 7 \boxed{\bf -} 2 = 5}\\\\\\\heartsuit\large\textbf{ For equation \#1. you begin at 7 and go BACK 5 spaces}\\\large\textbf{and you should have landed on 2.}\\\\\\\heartsuit\large\textbf{ For equation \#2. you begin at 7 \& go BACK 2 spaces}\\\large\textbf{and you should have landed on 5.}$

$\huge\textsf{KEEP IN MIND:}$

$\circ\large\textsf{ Addition OPPOSITE is subtraction \& subtraction OPPOSITE is}\\\large\textsf{addition.}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

4 0

2 years ago

Read 2 more answers

A race is 10 kilometers long. Markers will be placed at the beginning and end of the race course and at each 500 meter mark. How

anzhelika [568]

The answer is 20. You use 20 markers for it all.

5 0

3 years ago

Jessica is measuring two line segments. The first line segment is 30 cm long. The second line segment is 500 mm long. How long a

ElenaW [278]

Answer:

80 cm

Step-by-step explanation:

To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.

7 0

3 years ago

Read 2 more answers