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3 years ago

Find the area of the circle with the given diameter. Use 3.14 for π. Round to two decimal places.

Mathematics

2 answers:

harkovskaia [24]3 years ago

6 0

Answer:

14.13 m^2

Step-by-step explanation:

Formula for area:

3.14*r^2

To find the radius(r), you do diameter(d)/2:

9/2=4.5

3.14*4.5^2=14.13 m2

Shalnov [3]3 years ago

6 0

Answer: 28.26

Step-by-step explanation:

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jasenka [17]

Answer:

1. 10x^2 -4

2. 2a^5 + 5b

Step-by-step explanation:

1. Simplify 4(x^2 -1) to 4x^2 -4

then add that to 6x^2

2. 4a^5 - 2a^5 = 2a^5 and

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3 years ago

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A rectangle has length that is 5 less than 2 times the width. Write an expression for the area of the rectangle.

a_sh-v [17]

We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

$A=Lw$

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

$L=5-2w$

Replacing in the formula for the area we get:

$A=(5-2w)w$

Now we use the distributive law:

$A=5w-2w^2$

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1 year ago

A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati

Marysya12 [62]

The $100(1-\alpha)\%$ confidence interval of a standard deviation is given by:

$\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}$

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,

$\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493$

Therefore, the 90% confidence interval for the standard deviation is given by

$\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\ \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59} \\ \\ \Rightarrow41.4\leq\sigma\leq63.7$

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3 years ago

Convert to improper fraction 15/6 into a mix number. Show your work.

Alchen [17]

Answer:

15 divided by 6 is equivalent to 5/2. When dividing that, you get 2 and then 2/4 as the decimal portion.

Simplified it would be 2 and 1/2

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3 years ago

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Ms. Davenport bought a dozen packages of spaghetti sauce mix priced at 3 packages for $1.29. What is the price of one package of

Verdich [7]

To find this out you would have to divide 1.29 by three to get the price for one. 1.29/3=.43. So the price for one spaghetti sauce mix is .43$ or 43 cents. Hope this helps.

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3 years ago

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