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Nataly_w [17]
3 years ago
7

the area enclosed by a circular fountain is 78.57 square meters. What is the diameter of the fountain? Round your answer to the

nearest meter.
Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Use the formula for the area of a circle and solve for the radius. (rounding to the nearest whole number)

A_O=  \pi r^2 \\ 78.57 = 3.14r^2 \\ 25 = r^2 \\ \boxed{5 = r}

And of course, if the radius of a circle is 5 meters, then the diameter is 10 meters.
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Answer:

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20

2. Hypotesis testing

H_{0}=\mu=0.70

H_{1} =\mu< 0.70

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From the one tail standard normal chart, whe have Z-value for \alpha=0.05 is 1.56

Then rejection area is left 1.56 in normal curve.

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5. Hypotesis Testing

Z_{\alpha}=1.56\\Z=-1.58

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As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

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4 years ago
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 7x − 1). If the final answer is written in the form Ax2 + Bx + C, wha
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Answer:

 

3x + 2x2 + 4 = 5

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First be sure that the right side of the equation is 0. In this case, all you need to do is subtract 5 from both sides.

 

3x + 2x2 – 1 = 0

2x2 + 3x – 1 = 0

Simplify, and write the terms with the exponent on the variable in descending order.

 

2x2

+

3x

–

1

=

0

↓

 

↓

 

↓

 

 

ax2

 

bx

 

c

 

 

 

a = 2, b = 3, c = −1

 

Now that the equation is in standard form, you can read the values of a, b, and c from the coefficients and constant. Note that since the constant 1 is subtracted, c must be negative.

Answer

2x2 + 3x – 1 = 0; a = 2, b = 3, c = −1

Step-by-step explanation:

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Answer:

The correct answer is C

Step-by-step explanation:

In order to find the y-intercept, you need to first solve the inequality for y.

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