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serious [3.7K]
2 years ago
11

when the length of the diameter of a circle is 20 CM and the length of the cord is 16 CM the diameter and the cord have a common

endpoint what is the distance from the center of the circle to the cord
Mathematics
1 answer:
s2008m [1.1K]2 years ago
8 0

Answer:

distance = 6 units

Step-by-step explanation:

using the Pythagorean theorem:

distance² = 10² - 8² = 100 - 64 = 36

distance = √36 = 6 units

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One number is four less than a second number. Three times the first is 13 more than 4 times the
Gala2k [10]

Answer:

sup

Step-by-step explanation:

5 0
2 years ago
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
2 years ago
Read 2 more answers
Help me<br> On this pleaseee
Evgen [1.6K]
2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi

1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi

Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²

Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = <span>63,800 mi²</span>
4 0
3 years ago
A student survey was conducted in a major university, where data were collected from a random sample of 750 undergraduate studen
Mekhanik [1.2K]

Answer:

Pie Chart

Step-by-step explanation:

The variable mentioned in this case is categorical. That is, it has no numerical value, and can only be put into categories.

Some of the basic rule In statistics to represent data using charts are as follows:

• For categorical variables (nominal/ordinal) variables, use pie charts and bar charts

• For interval/ratio variables, use histograms

A pie chart is a circular chart divided into wedge-like portions and is basically used to display percentage or proportion of categories in the data The percentage represented by each category is shown by the corresponding slice/portion of the whole pie.

4 0
3 years ago
Solve 2(3a² - 1) - 6a = 5a {-1/2, 2/3} {-1/6, 2} {}
kirill [66]
6a^2 - 2 -6 a -5a = 0

6a^2 -11 a - 2 = 0 


a = 2 , a= -1/6
8 0
3 years ago
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