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m_a_m_a [10]
2 years ago
10

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the cir

cular flower bed.
Mathematics
2 answers:
maw [93]2 years ago
6 0

Answer: Circumference and area of the circular flower bed are 62.85 ft and 314.28 ft² respectively.

Step-by-step explanation:

Since we have given that

Radius of the circular flower bed = 10 feet

Circumference means fencing or perimeter of the circular flower bed.

Circumference of the circular flower bed is given by

C=2\pi r\\\\C=2\times \frac{22}{7}\times 10\\\\C=62.85\ ft

Area of the circular flower bed is given by

Area=\pi r^2\\\\Area=\frac{22}{7}\times 10\times 10\\\\Area=314.28\ ft^2

Hence, Circumference and area of the circular flower bed are 62.85 ft and 314.28 ft² respectively.

Bas_tet [7]2 years ago
3 0
Circumference = Pi x Diameter
Circumference = 10 x 3.14
Circumference = 31.4 feet 

Area = Pi x Radius^2
Area = 3.14 x 5^2
Area = 3.14 x 25
Area = 78.5 feet 
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Bezzdna [24]

Answer:

a. Yes(n=500>=5, n(1-p)=25>=5)

b. 0.15241

Step-by-step explanation:

a. A normal approximation to the binomial can be used  n\geq5 and n(1-p)>=5:

#We calculate our p as follows:

\hat p=x/n=470/500=0.94

n=500

n(1-p)=500(1-0.95)=25

Hence, we can use the normal approximation.

b. This is a normal approximation.

-Given that p=0.95(95%)

-We verify if our distribution can be approximated to a normal:

np=0.95\times 500=475\\n(1-p)=500(1-0.95)=25\\\\np\geq 5,\ n(1-p)\geq 5

Hence, we can use the normal approximation of the form:

P_{bin}(k,n,p)->N(\mu,\sigma^2)\left \{ {{\mu=np=475} \atop {\sigma=\sqrt{np(1-p)}=4.8734}} \right. \\\\\\P_{bin}(k\leq 470)\approx P_{norm}(x\leq 470.5)=P_{norm}(z\leq \frac{470-475}{4.8734})\\\\P_{norm}(z\leq -1.0260)=0.15241

Hence, the probability of the sample proportion  is the same as the proportion of the sample found is 0.15241

3 0
2 years ago
I just purchased 9 products from you at $44.00. I just realized my company offers a 20% discount on all of your products. Can yo
mamaluj [8]
So the new total is:
9 * (44*.8) since the 20% discount means you only pay 80% of the original $44 per item
4 0
2 years ago
Read 2 more answers
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
emmasim [6.3K]

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

5 0
1 year ago
What is 2 divided 1 6/7 ? Please answer
Aliun [14]
If you would like to divide 2 by 1 6/7, you can do this using the following steps:

1 6/7 = 13/7

2 / 1 6/7 = 2 / 13/7 = 2/1 / 13/7 = 2/1 * 7/13 = 14/13 = 1 1/13

The correct result would be 1 1/13.
6 0
2 years ago
Evaluate \dfrac14c+3d
Crank

Answer:  \frac{45}{2}

Step-by-step explanation:

<h3> The exercise is: " Evaluate \frac{1}{4}c + 3d when c = 6 and   d = 7</h3>

Given the following expression:

 \frac{1}{4}c + 3d

You can follow these steps in order to evaluate it:

 1. Substitute c = 6 and   d = 7 into the expression provided in the exercise:

  \frac{1}{4}(6) + 3(7)

2. Solve the multiplications. Remember that:

 \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

Then:

 =\frac{6}{4} +21

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

=\frac{3}{2} +21

4. Solve the addition:

=\frac{3}{2} +\frac{21}{1}

 Since the number 21 has a denominator 1, the Least Common Denominator is:

LCD=2

Then, the sum is:

=\frac{3+42}{2}=\frac{45}{2}

5 0
2 years ago
Read 2 more answers
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