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andrew-mc [135]
3 years ago
11

What's the value of x?

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
The value of x is 2.5
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8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0
3 years ago
t is estimated that Americans buy 2.92×1010 bottles of water per year. At this rate, how many bottles of water are purchased by
Mumz [18]
8<span>×10^7 hope this helped</span>
4 0
3 years ago
Solve using the quadratic formula 2x^2 + 7x - 15 = 0
marissa [1.9K]

Answer:

1.5 or -5

Step-by-step explanation:

2x²+7x-15=0

Divide by 2:

x²+7x/2-15/2=0

x=-7/2/2 ± √49/4(4)+15/2

  =-7/4 ± √49/16+120/16

  =-7/4± √169/16=-7/4 ±13/4

  =6/4 or -20/4

   =1.5 or -5

3 0
2 years ago
For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.
Archy [21]

Answer:

<u><em>28 minutes.</em></u>

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>

4 0
2 years ago
Find the length of AB.<br> АE:14<br> AD:12<br> AB:<br> BC:18
Afina-wow [57]

Answer:

Whre is the question I don't get it

7 0
3 years ago
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