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spayn [35]
3 years ago
13

The diameter of a circle is 6 centimeters. What is the circle's area? Use 3.14 for pi

Mathematics
2 answers:
Lynna [10]3 years ago
7 0

Step-by-step explanation:

diameter=

2 \times\pi \times r = 6 \\ r =  \frac{6}{2 \times 3.14}  = 0.955 \\ area = \pi \times  {r}^{2}  = 3.14 \times  {0.955}^{2}  \\  =  2.87\:  {cm}^{2}

ELEN [110]3 years ago
5 0

Answer:

Diameter =>6cm

Radius =>6cm/2 =3cm

To find =>The area

Area =>πr²

Step-by-step explanation:

area =  > 3.14 \times 3 \times 3 \\ are a =  > 28.26cm {}^{2}

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3 years ago
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The fit line equation is Y = -2.61x +152.51, where x is variable 1 and Y is variable 2. According to the equation, what is the e
egoroff_w [7]

The expected value of y when x is equals to 45 in the equation is 35.06

<h3>How to find variable from an equation?</h3>

The equation is given as follows;

y = -2.61x + 152.51

where

  • x = variable 1
  • y = variable 2

Therefore,

when

x = 45

y = -2.61x + 152.51

y = -2.61(45) + 152.51

y = - 117.45 + 152.51

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5 0
2 years ago
You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in
jeka57 [31]

Answer:

You can decide to <u>reject</u> the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, <em>r</em> = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, <em>c</em> = 3.

The distribution of the statistic \chi^{2} is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.

Compute the degrees of freedom as follows:

df = (r-1)(c-1)=(2-1) \times (3-1) = 2

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the <em>p</em>-value of the test as follows:

p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

The significance level is, <em>α</em> = 0.05.

<em>p</em>-value = 0.00011 < <em>α</em> = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."

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3 years ago
Find the volume of a cone with a height of 12cm and a base diameter of 8cm.
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Answer: 64

Step-by-step explanation:

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Last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of
EastWind [94]

Answer:

38,325 dinners.

Step-by-step explanation:

We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.

The estimated number of dinners next year would be 36,500 plus 5% of 36,500.

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36,500+(0.05\times 36,500)

36,500+1,825

38,325

Therefore, 38,325 dinners will be served next year.

6 0
4 years ago
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