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tamaranim1 [39]
3 years ago
13

What is a coordinar plane

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0
The plane<span> determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the </span>coordinate plane<span> can be specified by an ordered pair of numbers.</span>
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ratelena [41]
The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day
7 0
3 years ago
A poll was taken of 1000 residents in county. The residents sampled were asked whether they think their local government did a g
prohojiy [21]

Answer:

a) (0.72, 0.78)

Step-by-step explanation:

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".  

Description in words of the parameter p

p represent the real population proportion of all residents in that county who think their local government did a good job

\hat p represent the estimated proportion of all residents in that county who think their local government did a good job

n=1000 is the sample size required  

z_{\alpha/2} represent the critical value for the margin of error  

The population proportion have the following distribution  

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

Numerical estimate for p

In order to estimate a proportion we use this formula:

\hat p =\frac{X}{n} where X represent the number of people with a characteristic and n the total sample size selected.

\hat p=\frac{750}{1000}=0.75 represent the estimated proportion of all residents in that county who think their local government did a good job

Confidence interval

The confidence interval for a proportion is given by this formula  

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

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

0.750 - 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.72  

0.750 + 1.96 \sqrt{\frac{0.75(1-0.75)}{1000}}=0.78  

And the 95% confidence interval would be given (0.72;0.78).  

We are confident at 95% that the true proportion of people who think their local government did a good job is between (0.72;0.78).

a) (0.72, 0.78)

3 0
3 years ago
I really need help with this question.
madreJ [45]

Answer:

The answer is D

Please mark brainliest hope it helped!

7 0
3 years ago
Find the volume of the cubes or rectangular prisms in cubic centimeters.
Ainat [17]

Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box

Step-by-step explanation:

7 0
3 years ago
The measure of spt is b. The measure of tpr in s five more than two times spt. The measure of qps is twelve less than eight time
Marrrta [24]

Hello.

In your question, we can see that the points Q, P, and R can be assumed that they are in a straight line, meaning that the angle measures will add up to 180 (think of half a circle, which is 360 degrees).

This means that every angle added up will add up to 180 degrees.

Meaning we can set up the below equation:

(8b-12)+(b)+(2b+5)=180

8b-12+b+2b+5=180

11b-7=180

11b=187

b=17

After finding b, we can plug it back in to each expression for each angle measure.

∠QPS = 8b-12=8(17)-12=124

∠SPT = b=17

∠TPR = 2b+5=2(17)+5=39

Hope this helps!

5 0
3 years ago
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