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Juliette [100K]
3 years ago
14

Caleb is putting up a circular flower garden with a 4-yard radius in his backyard. Find a. the circumference of the flower garde

n and b. the area of the flower garden.

Mathematics
2 answers:
nevsk [136]3 years ago
7 0

Answer:

the answer is given in the photo hope this helps you

fiasKO [112]3 years ago
7 0

Answer:

4yd = radius

circumference= 2*π*r

area = π*r^{2}

circumference =2*pi*4 = 25.132741228718345907701147066236

area = pi*4^{2} = pi*16= 50.265482457436691815402294132472‬

You might be interested in
Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera
hoa [83]

Answer:

The probability is  P(X <  12) =  0.99286

Step-by-step explanation:

From the question we are told that

        The population mean is \mu  =  12 \ oz

         The  standard deviation is  \sigma =  0.1 \ oz

          The sample mean is  \= x =  12.1 \ oz

          The sample size is  n = 6 packs

   

The standard error of the mean is mathematically represented as

              \sigma_{\= x } =  \frac{\sigma}{\sqrt{n} }

substituting values

            \sigma_{\= x } =  \frac{0.1}{\sqrt{6} }

            \sigma_{\= x } =  0.0408

Given that the can’s contents follow a Normal distribution then then  the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

         P(X <  12) =  P ( \frac{X - \mu }{ \sigma_{\= x }}  < \frac{\= x - \mu }{ \sigma_{\= x }}  )

Generally  \frac{X  - \mu }{ \sigma_{ \= x }}   =  Z (The  \ standardized \  value \ of  \ X )

So

         P(X <  12) =  P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }}  )

substituting values

       P(X <  12) =  P ( Z < \frac{12.2 -12 }{0.0408}  )

      P(X <  12) =  P ( Z < 2.45   )

From the normal distribution table the value of P ( Z < 2.45   ) is  

           P (Z < 2.45)0.99286

=>   P(X <  12) =  0.99286

4 0
3 years ago
A circle has a circumference of 6. It has a lenth of 1/3. What is the central angle of the arc?
gayaneshka [121]
Im not even sure about this though
4 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST YOU DONT HAVE TO EXPLAIN
Yakvenalex [24]

Answer:

the second option

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help, will give brainlist!
Free_Kalibri [48]

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

4x + 6y = 44 → (1)

4x + 2y = 28 → (2)

Subtracting (2) from (1) term by term eliminates the term in x, that is

(4x - 4x) + (6y - 2y) = (44 - 28), that is

4y = 16 ( divide both sides by 4 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting y = 4 in (1)

4x + 6(4) = 44

4x + 24 = 44 ( subtract 24 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Solution is (5, 4 )

5 0
4 years ago
I submit in like 30 mins Pls help and if you know the rest of the test that would be great
mylen [45]
The answer is your 3rd option:
y = -40x + 200
8 0
3 years ago
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