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n200080 [17]
3 years ago
9

Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad 
radius=\stackrel{4}{ r}
\\\\\\
(x-0)^2+(y-0)^2=4^2\implies x^2+y^2=16
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Solve by factoring x^2 + 8x =9
Helen [10]

Answer:

x=-9,\:x=1

Step-by-step explanation:

x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1

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1 year ago
What is 10 x 10 to the power 8
barxatty [35]

Your answer is

1,000,000,000 (one billion)

Hope this helps.

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2 years ago
cual es la distancia entee los siguientes puntos R ( 6,-10) M (5,4) C(7,3) H (8,6) M (-4,9)​
laiz [17]

Answer:

M ( -4,9)

Step-by-step explanation:

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2 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had orders that were not accurate among orders obs
Lesechka [4]

Complete Question

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Answer:

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

Step-by-step explanation:

Generally from the question we are told that

   The sample size is  n =  367

    The number of orders that were not accurate is  k = 32

    The population proportion for rate of inaccurate orders is  p = 0.10

The null hypothesis is  H_o :  p = 0.10

The alternative hypothesis is  H_a :  p \ne 0.10

Generally the sample proportion is mathematically represented as  

         \^ p = \frac{k}{n}

=>      \^ p = \frac{32}{367}

=>      \^ p = 0.0872

Generally the test statistics is mathematically represented as

         z= \frac{ \^ p - p }{ \sqrt{ \frac{ p(1 - p)}{ n} } }

=>      z= \frac{ 0.0872  - 0.10 }{ \sqrt{ \frac{ 0.10 (1 - 0.10 )}{367} } }  

=>      z= -0.8174

From the z table  the area under the normal curve to the left corresponding to  -0.8174 is  

         P(z <  -0.8173 )  = 0.20688

Generally the p-value is mathematically represented as

         p- value =  2 *  0.20688

=>      p- value =  0.4138

From the value obtained we see that  p-value >  \alpha hence

The decision rule  is

  Fail to reject the null hypothesis

The conclusion is  

  There is sufficient evidence to show that the rate of inaccurate orders is equal to​ 10%

 

4 0
2 years ago
PLEASE HURRY!!! TIMED!!!! WILL GIVE BRAINLIEST!!!
fgiga [73]

Answer:

3.

7.608

Step-by-step explanation:

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if we make the respective accounts in the first and second problem we will see that they are irrational numbers

the fourth is a periodic number, which falls within the irrational

the only rational is the third

7 0
2 years ago
Read 2 more answers
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