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kotykmax [81]
3 years ago
5

Using the distance formula , find the distance from the center of your habitat to the point (x, y). Write this equation. Your an

swer will contain x- and y-terms.
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

The distance formula is given by:

d =  \sqrt{ {(x_2-x_1)}^{2} +  {(y_2-y_1)}^{2}  }

We want to find the distance between (a,b) and (x,y).

The center of the habitat is missing in the question.

Assuming the center is (a,b) where a and b are real numbers, then we can use the distance formula to obtain:

d = \sqrt{(x - a)^{2} +  {(y - b)}^{2}  }

For instance if the center of your habitat us (2,-1), then

d = \sqrt{(x - 2)^{2} +  {(y  + 1)}^{2}  }

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James is playing an arcade game with tokens. In the first
Ivenika [448]

Answer

81 tokens

Step-by-step explanation:

x+12-4=170

x+8=170

 -8   -8

x=162

     162/2=81 tokens

6 0
3 years ago
Read 2 more answers
Of 580580 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compa
Lubov Fominskaja [6]

Answer:

a) The 99% confidence interval would be given (0.204;0.296).

b) We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).  

c) No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

Step-by-step explanation:

Part a

Data given and notation  

n=580 represent the random sample taken    

X represent the seafood sold in the country that is mislabeled or misidentified by the people

\hat p=0.25 estimated proportion of seafood sold in the country that is mislabeled or misidentified by the people

\alpha=0.01 represent the significance level (no given, but is assumed)    

p= population proportion of seafood sold in the country that is mislabeled or misidentified by the people

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}})

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.25 - 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.204

0.25 + 2.58 \sqrt{\frac{0.25(1-0.25)}{580}}=0.296

And the 99% confidence interval would be given (0.204;0.296).

Part b

We have 99% of confidence that the true population proportion of all seafood sold in the country that is mislabeled or misidentified is between (0.204;0.296).  

Part c

A government spokesperson claimed that the sample size was too​ small, relative to the billions of pieces of seafood sold each​ year, to generalize. Is this criticism​ valid?

No that's not true. Because the necessary assumptions and conditions for the confidence interval for the proportion are satisifed, so then we can use inferential statistics to interpret the interval to the population of interest.

4 0
4 years ago
Type the expression that results from the following series of steps start with x times by 6 then add 1
timurjin [86]
6x + 1 is the expression

Hope that helps!

-Grace
6 0
3 years ago
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
Solnce55 [7]

Answer: a

Step-by-step explanation:

32+59+89=180

7 0
3 years ago
What are the roots of 2x^2+10×-48=0
mojhsa [17]
X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
8 0
3 years ago
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