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vampirchik [111]
4 years ago
14

Just the definitions please!!

Mathematics
1 answer:
lbvjy [14]4 years ago
5 0

(2)

we know that

when two lines do not intersect , they can be parallel lines or skew lines

so,

Lines that do not intersect are called <u>parallel or skew lines</u>

(4)

we know that

A circle is the set of all points in a plane that are equidistant from a given point

so,

The set of points in a plane that are equidistant from a given point form a <u>circle</u>

(8)

Moving a figure around a fixed point in the plane is called making <u>a image of the figure</u>

(3)

A <u>translation</u> of the plane is a transformation which shifts all the points in a plane figure, without altering the shape of the figure

(6)

All the points on a line that are between two given points form a line <u>segment</u>

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N a game show, a contestant randomly draws a chip from a bag and replaces it. The theoretical probability of drawing a winning c
erica [24]

Answer:

I would expect 6 contestants to draw a winning chip each.

Step-by-step explanation:

Theoretical probability is basically = Number of successful outcomes/Number of possible outcomes.

Since the theoretical probability of drawing a winning chip is 3(winning chips)/10(total chips), if there are 9 winning chips in the bag, we need to first calculate the total number of chips in the bag using the principle of proportion.

Let's call the total number of chips in the bag, "x".

3/10 = 9/x

Cross multiplying:

3x = 90

x = 90/3

x = 30 chips

There is a total of 30 chips in the bag.

Now, if there are 9 winning chips in a bag that contains 30 chips altogether and 30 contestants are to draw one chip each from the bag, I would expect 9 contestants out of the 30 contestants that drew chips from the bag to draw winning chips.

Then if each of the 20 contestants are to draw a single chip from the bag of 30 chips, then the number of contestants that I would expect to draw a winning chip is:

30 contestants----------9 winning chips

20 contestants----------- ? winning chips

20/30 × 9

= 180/30

= 6 winning chips to be drawn by 6 different contestants.

Therefore the number of contestants that I would expect to draw a winning chip from the bag is 6

7 0
3 years ago
A population contains six members, with values 1,1,2,3,5,10. A random sample of size 3 is drawn without replacement. Estimate th
Ronch [10]

Answer:

So, the population mean is 3.66.

Step-by-step explanation:

We will calculate the average value by summing all the values and dividing by the  size of sample.

We have population contains six members, with values 1,1,2,3,5,10.

Therefore, n=6.  

We use the formula to calculate the population mean:

\mu=\frac{x_1+...+x_n}{n}\\\\\mu=\frac{1+1+2+3+5+10}{6}\\\\\mu=\frac{22}{6}\\\\\mu=3.66

So, the population mean is 3.66.

5 0
3 years ago
What is 572 rounded to the nearest 10 and 100
Liula [17]
572 rounded to the nearest 10 is 570 and 572 rounded to nearest 100 is 600.
5 0
3 years ago
What is the complete factorization of the polynomial below?
aksik [14]

Option A: (x+1)(x+3 i)(x-3 i) is the complete factorization of the polynomial x^{3} +x^{2} +9x+9

Explanation:

The polynomial is x^{3} +x^{2} +9x+9

Now, we shall find the complete factorization of the polynomial.

Let us group the common terms, we have,

\left(x^{3}+x^{2}\right)+(9 x+9)

Taking out the common terms,

x^{2} (x+1)+9(x+1)

Factor out x+1 from both the terms, we have,

\left(x^{2}+9\right)(x+1)=0

The term \left(x^{2}+9)\right. can be factored as

\begin{aligned}x^{2}+9 &=0 \\x^{2} &=-9 \\x &=\pm 3 i\end{aligned}  and \begin{aligned}x+1 &=0 \\x &=-1\end{aligned}

Thus, the roots are x=\pm 3 i and x=-1

These roots can be written as (x+1)(x+3 i)(x-3 i)

Thus, the complete factorization of the polynomial is (x+1)(x+3 i)(x-3 i)

8 0
3 years ago
Read 2 more answers
Imagine having 20 currency notes , consisting of $5 bills , and $10 bills that total $125. Write a system of equations to descri
Maurinko [17]
X-the $5 bills 
y-the $10 bills

x+y=20
5x+10y=120  

It's a system.
7 0
4 years ago
Read 2 more answers
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