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3 years ago

Help due soon find the area using 3.14 for π round to the nearest Hundredth if you have too

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

Circumference is about 185.26 cm.

Area is about 2732.585 $cm^{2}$

Step-by-step explanation:

Circumference = 2πr

2 x 3.14 x 29.5 = 185.26

Area of a circle = π $r^{2}$

3.14 x 29.5 x 29.5 = 2732.585

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130% of what number is 20.8

Gemiola [76]

Answer 16

Step-by-step explanation:

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4 years ago

Read 2 more answers

How do you know when a term is defined or undefined

lord [1]

In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.

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3 years ago

5% sales tax on a $81.08 bookcase

mafiozo [28]

81.08 * .05 = 4.054
$4.05

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3 years ago

Please help #10 its unit rates.

Dahasolnce [82]

The answer is option D, 4 bracelets/per hour

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3 years ago

A diet doctor claims that the average North American is more than 20 pounds overweight. To test his claim, a random sample of 20

ziro4ka [17]

Complete question:

A diet doctor claims that the average North American is more than 20 pounds overweight. To test his claim, a random sample of 20 North Americans was weighed, and the difference between their actual and ideal weights was calculated. The data are listed here. Do these data allow us to infer at the 5% signif- icance level that the doctor’s claim is true?

16 23 18 41 22 18 23 19 22 15 18 35 16 15 17 19 23 15 16 26

Answer:

See explanation below.

Step-by-step explanation:

From the given data, we have:

∑x = 16 + 23 + 18 + 41 + 22 + 18 + 23 + 19 + 22 + 15 + 18 + 35 + 16 + 15 + 17 19 + 23 + 15 + 16 + 26 = 417

The sample mean x' = $\frac{417}{20} = 20.85$

(x - x')² = 23.5225, 4.6225, 8.1225, 406.0225, 1.3225, 8.1225, 4.6225, 3.4225, 1.3225, 34.2225, 8.1225, 200.2225, 23.5225, 34.2225, 14.8225, 3.4225, 4.6225, 34.2225, 23.5225, 26.5225

∑(x-x')² = 868.55

Degree of freedom, df = 20 - 1 = 19

For the standard deviation, we have:

$\sqrt{\frac{(x-x')^2}{df}}= \sqrt{\frac{868.55}{20 - 1}} = 6.76$

Standard deviation = 6.76

We now have the following:

Sample size, n = 20

Mean, u = 20

Sample mean, x' = 20.85

Standard deviation, s.d = 6.76

Significance level = 5% = 0.05

Here, the null and alternative hypotheses are:

H0 : u = 20

H1 : u > 20

This is a right tailed test.

For the test statistic, we have:

$t = \frac{x' - u}{s.d / \sqrt{n}} = \frac{20.85 - 20}{6.76 / \sqrt{20}} = 0.56$

T statistics = 0.56

The pvalue for a right tailed test, df=19, t=0.56,

p-value = P(t>0.56) = 1-p(t≤0.056)

= 1 - 0.7090

= 0.291

Since p-value, 0.291 is greater than significance level, 0.05, we fail to reject null hypothesis, H0.

Conclusion:

There is not enough evidence to conclude that the average North American is more than 20 pounds overweight.

8 0

3 years ago