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4vir4ik [10]
3 years ago
12

What is the approximate area that is shaded blue?

Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0
The answer to this question is c i think
Darya [45]3 years ago
6 0
^yeah I got the same answer it should be C.
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The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
What is 0.5,3/16,0.75,5/48 from least to greatest
frez [133]
3/16 as a decimal is 0.18
and 5/48 as a decimal is 0.10
SO 
you have 0.10, 0.18, 0.75, and 0.5 so put that in order
3 0
3 years ago
An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months.  Money is 9% comp
frutty [35]

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

5 0
3 years ago
What are the sine, cosine, and tangent of circle = 3pi/4 radians?
KengaRu [80]

if  you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.

Check the picture below.

notice the section encircled in purple.

7 0
2 years ago
Which pair of lines are perpendicular
Gnesinka [82]

The answer is A. A perpendicular equation will have the opposite and reciprocal slope as the original equation.


Once converted to the slope-intercept form of y = mx+b, we find the two equations for A are y = 2x-1 and y = (-1/2)x + 3/2. The opposite reciprocal of the first equation's slope (m in the equation form given) is -1/2, which as you can see if the slope of the other equation.

5 0
3 years ago
Read 2 more answers
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