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morpeh [17]
2 years ago
6

Will mark brainliest!

Mathematics
2 answers:
Maurinko [17]2 years ago
6 0

╔═.✵.══════════╗

      A  N  S  W  E  R

╚══════════.✵.═╝

☆ ☆ ☆

983000

<em>Hope this helped, love!</em>

☆ ☆ ☆

stiv31 [10]2 years ago
3 0
98.3/10=9.83 and then we have 4 zeros so you just move the decimal to the left as we are dividing which gives 0.00983
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Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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{p(1-p)}{n}})

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 0.01 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)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before
Fynjy0 [20]
I would say about 40 kilometers it’s ifs 20 around her neighborhood that 20+20=40 and walking tha rest made the question easier but yea 40
8 0
3 years ago
Can anyone help me please
7nadin3 [17]

Answer:

noqijauaajajajajabbaababbaa

7 0
3 years ago
Tell me what -28 + (-80) equals please i need help
adoni [48]
It’s -108. Hope this helps you out. Let me know if you need something else
7 0
3 years ago
Line j has a slope of − 2. Line d is perpendicular to line j and passes through the point( − 8 , 3 ).  Write the equation for
Zina [86]

Answer:

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

4 0
3 years ago
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