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Liula [17]
2 years ago
14

What is the best approximation for the area of this circle? Use 3. 14 to approximate pi. 18. 8 ft² 37. 7 ft² 75. 4 ft² 113. 0 ft

².
Mathematics
1 answer:
xeze [42]2 years ago
7 0

The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

<h3>What is the area of the circle?</h3>

The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,

A=\pi r^2

Here, (r) is the radius of the circle.

The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.

Thus the area of this circle can be find out using the above formula as,

A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2

Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

Learn more about the area of the circle here;

brainly.com/question/402655

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Find the geometric mean. 4a and a; 4a and 2a.
pishuonlain [190]
<span>Solve for "x":
a/x = x/4a
---
x^2 = 4a^2
x = 2a</span>
5 0
3 years ago
Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi
stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*215 = 353.675

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

M = \frac{3.23 + 3.87}{2} = 3.55

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Yakvenalex [24]

The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

<h3>What is Inequalities?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

3 0
1 year ago
Which term describes the variable y in the expression yn?<br> A.Product B.Factor C.Base D.Exponent
grigory [225]
If the expression is: yⁿ
then y is the Base.

If the expression is: yn
then y is the product.
5 0
3 years ago
According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
2 years ago
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