Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Total outcomes:
3 segments from a set of 6 lengths, hence:
[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence [tex]D = 7[/tex]Then:
[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]
[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
Help me I need this urgent
Answer:
b(-1)= -6
b(0)= -4
b(4)= 4
Step-by-step explanation:
2(-1) - 4
-2-4=-6
2(0) - 4
0 - 4 = -4
2(4) - 4
8 - 4 = 4
Answer:
-6, -4, 4
Step-by-step explanation:
If 9 : x = x:4, then x = _____. 36 18 24 6
Solution: 9:x = x:4
⇛9/x = x/4
By doing cross multiplication, we get
⇛9(4) = x(x)
⇛36 = x²
⇛x² = 36
⇛x = √(36)
⇛x = √(6*6)
∴ x = 6 Ans.
also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer
If 9 : x = x:4, then x = 6
Pls answer and give explanation will give brainiest
Answer:
I don't know
Step-by-step explanation:
Answer:
11/18
Explanation:
Find the LCM
6 × 3 = 18
9 × 2 = 18
Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.
[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]
[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]
Now subtract.
[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]
Using substitution, evaluate the expression b-a, if a = -14 and b = -7.
O 21
O -21
-7
7.
Please help
For the line segment with endpoints M(m, 4) and N(-2, n) , the midpoint is (3, 1) . Find m and n.
Answer:
Step-by-step explanation:
(m + (-2)) / 2 = 3
(m + (-2)) = 6
m = 8
(4 + n) / 2 = 1
4 + n = 2
n = - 2
Identify the function as a power function, a polynomial function, or neither.
[tex]fx=\frac{x^2}{x^2-1}[/tex]
Answer:
I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.
If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?
Answer: 12.25 ( each side )
Step-by-step explanation
Divide 49 by 4, which is 12.25
Find a unit vector in the direction of ⃗PQ if P = (4, -7) and Q = (2, -3)
Solve the system of equations.
y= -6x +9
y= -3x +3
a (3,-2)
b. (-2,3)
C. (2,3)
d. No solution
Answer:
The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.
(Please don't get mad or report this answer, the work is below, so you may see for yourself.)
Step-by-step explanation:
Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:
-6x + 9 = -3x + 3
Next we will solve for x by isolating it:
So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.
Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:
y = -3(2) + 3
-3 × 2 = -6 and -6 + 3 = -3
So: y = -3
Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).
As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)
Answer:
x=2, y=-3. (2, -3).
Step-by-step explanation:
y=-6x+9
y=-3x+3
-----------
-6x+9=-3x+3
-6x-(-3x)+9=3
-6x+3x=3-9
-3x=-6
3x=6
x=6/3
x=2
y=-6(2)+9
y=-12+9=-3
isha's art club has $250. They sell 6 paintings for $16 each. They buy 9 sketchbooks that cost $13 each. Aisha says they now have about $280. Is Aisha’s estimate reasonable? Aisha’s estimate is not reasonable. They earned about $120 and spent about $120 so they should have the same amount of money as they started with. Aisha’s estimate is not reasonable. They earned about $100 and spent about $120 so they should have about $20 less than they started with. Aisha’s estimate is reasonable. They earned about $100 and spent about $130 so they should have about $30 more than they started with. Aisha’s answer is reasonable. They earned about $60 and spent about $90 so they should have about $30 less than they started with.
Answer:
Step-by-step explanation:
Aisha’s estimate is not reasonable.
They earned about $100 and spent about $120 so they should have about $20 less than they started with.
28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?
Answer:
not
Step-by-step explanation:
because negetive plus negative will equal negative and bot positive
if this is multiplication yes it does apply...-1×-1=1
6+z=10
p-5=15
4+m=12
y-4=19
b-17=12
3=d+2
Please Show your Work
Answer:
z=4 p=20 m=8 y=23 b=29 d=1
Step-by-step explanation:
You do the reverse to find out what the variable(hidden #) is
z because 10-6=4
p because 15+5=20
m because 12-4=8
y because 19+4=23
b because 12+17=29
d because 3-2=1
If this is wrong I'm sorry.
You wish to buy a new skateboard. To earn money, you sell your baseball cards to
your friends for $2.50 each. If the new skateboard costs $98, what is the minimum number
of baseball cards you will have to sell?
Help me plssssss im stuck I will give brainly
Answer:
Kate.
Step-by-step explanation:
Answer:
Kate, 29.26 is correct
Step-by-step explanation:
99.91 - 70.65 is 29.26
Need help with this question pre collegee
Answer:
Step-by-step explanation:
the domain is (-∞,∞)
20/50 = 30/x solve for x
Answer:
x = 75
Step-by-step explanation:
20/50 = 30/x
Divide the numbers and find x. If you plug back in 75 for x and simply, you should get the same fraction for each, 4/10.
Car A travels 115 miles on 5 gallons of gas. Car B 126 miles on 6 gallons of gas. How can you find which car gets better gas mileage?
please help meeeeeee
Answer: That would be distributive
Step-by-step explanation:
a box 4cm by 6cm by 8cm is painted on all six faces and then cut into cubes with the 2 cm sides. how many oof these cubes have only one side painted?
Answer:
hola saludos desde kansas city
Help help help math please last one be honest
Answer:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
EC
What is the Arabic numeral for this Roman numeral?
VII
07
09
08
STUR
Answer:
07
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
V = 5
I = 1
V + I + I = 5 + 1 + 1 = 7
Hope that helps
{x|x is an odd integer between -3 and 7}
Answer:
x={-1,1,3,5}
Step-by-step explanation:
x={-1,1,3,5}
Is there a formula for
[tex] {a}^{m} + {a}^{n} [/tex]
?
Answer:
No
Step-by-step explanation:
There is no formula
There is no formula
Line c has an equation of Y=-5x+3 Parallel to line c is line d which passes through the point (2,-6) what is the equation of line d
Answer:
The equation of line d is
X = -5x + 4
Explanation:
Two lines are parallel when they both have the same slope.
Line c and line d have a common slope of -5.
X = -5x + 4, in particular, passes through the point (2, -6).
Hope this helped. Have an awesome and blessed year!
Work out the area of the shaded shape. Need answer ASAP
Answer:
Step-by-step explanation:
A = 3(6) + 2(5 + 3 + 2) = 38 m²
what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal
Answer:
322
Step-by-step explanation:
Triangle area = base*height)2Here, area = 23*28/2=322
Answer:
322 [tex]in^{2}[/tex]
Step-by-step explanation:
Hope this helped!
How do I solve this
Answer:
Step-by-step explanation:
well, I'd just multiply each option out using FOIL
First, Outside, Inside, Last
A) (x + 2√3i)(x - 2√3i)
First x(x) = x²
Outside x(- 2√3i) = - 2x√3i
Inside x(2√3i) = 2x√3i
last (- 2√3i)(2√3i) = -(2²)(√3²)(i²) = -4(3)(-1) = 12
add them all up x² + 12 looks like it works for me
B) = x² + 36
C) = x² + 4√3 + 12
D) = x² - 12
Factor the expression:
16x^2+25
A) (4x-5i)(4x-5i)
B)(4x-5i)(4x+5i)
C) (4x-5)(4x+5i)
D (4x+5)(4x-5)
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Answer:
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Step-by-step explanation:
What is the image of (−4,−7) after a reflection over the x-axis?
Answer:
go left for times and go down 7 .
Step-by-step explanation:
Answer:
(-4,7)
Step-by-step explanation:
I hope this helps :)
Express in the form
1
:
n
.
Give
n
as a decimal.
14
:
7
Answer:
n is 0.5
Step-by-step explanation:
Answer:
1:0.5
Step-by-step explanation:
