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3 years ago

What is the difference between -4 and 6? O -10 O -2 O 2 O 10

Mathematics

2 answers:

sergey [27]3 years ago

7 0

Answer:

10/D that's pretty obvious but whatever

Natali [406]3 years ago

4 0

Answer:

A. -10

Step-by-step explanation:

difference means to subtract so we are taking away 6 from -4.

-4-6=-10

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in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

3 years ago

Find the value of x.<br> 48°<br> (7x + 13)<br> A. 7<br> B. 3<br> C. 11<br> о<br> D. 5

Agata [3.3K]

Answer:

Step-by-step explanation:

The given angles are vertically opposite and congruent , then

7x + 13 = 48 ( subtract 13 from both sides )

7x = 35 ( divide both sides by 7 )

x = 5 → D

7 0

3 years ago

Given that f(x)=x^2-4x-3 and g(x)= x+3/4, solve for f(g(x)) when x =9

xxMikexx [17]

The answer to the question

4 0

2 years ago

Read 2 more answers

I need help to this question:Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $1

Iteru [2.4K]

Answer:

The total cost charged by the two companies will be the same for 10 square yards of carpeting .

Step-by-step explanation:

Let us assume that the number of square yards for carpeting used be x.

Let us assume that the total cost of the charged by the companies be y.

As given

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.

Than the equation becomes

y = 22x + 100

As given

City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

Than the equation becomes

y = 25x + 70

Than the two equations are

y = 22x + 100 and y = 25x + 70

Than compare the two equations are

22x + 100 = 25x + 70

25x - 22x = 100 - 70

3x = 30

$x = \frac{30}{3}$

x = 10 square yards .

Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .

3 0

3 years ago

PLEASE HELPP also sorry the photo is sideways

dybincka [34]

<h2>a) Select all that apply</h2>

$\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}$ <em> are each perpendicular to the line of reflection</em>

This option is the only one that is correct. The line of reflection is $y=-1$ . When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection. As you can see, these three segments $\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}$ <em> </em>form a right angle at the point each segment intersects the line $y=-1$ .

<h2>b) Find each length</h2>

Since the line $y=-1$ is an axis that allows to get a mirror image, therefore it is true that:

$\overline{LS}=\overline{L'S} \\ \\ \overline{MT}=\overline{M'T} \\ \\ \overline{NU}=\overline{N'U}$

To find those values $\overline{LS}$ , count the number of units you get from the point S to L, which is 3 units. Do the same to find $\overline{MT}$ but from the point T to M, which is 6 units and finally, for $\overline{NU}$ but from the point U to N, which is 4 units. Therefore:

$\overline{LS}=\overline{L'S}=3 \ units \\ \\ \overline{MT}=\overline{M'T}=6 \ units \\ \\ \overline{NU}=\overline{N'U}=4 \ units$

<h2>c) Correct Statement</h2>

<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>

<em />

A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.

5 0

2 years ago