Answer:
45/70
Step-by-step explanation:
easy though thats it
Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction
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
At Pizza Pi, 68% of the pizzas made last week had extra cheese. If 17 pizzas had extra cheese, how many pizzas in all were made last week?
Answer: 50
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
4,6,9,...
Find the 8th term.
Find the 8th term.
Answer:
4, 6, 9, 12, 15, 18, 21, 24.
Step-by-step explanation:
The 8th term is 24.
just +2 (add 2) every time.
A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.
What is the unit rate of the relationship?
Enter your answer in the box 100 POINTS WILL MAKE IT BRAINLIEST
single simplified fraction
X/3+X/5
What is the missing divisor?
34,000 ? = 340
Answer:
34,000 ÷ 1000 =340
Step-by-step explanation:
Answer:
100, If you decide 34000 by 340 you can easily see it needs to be devided by 100 to get the answer
PLS HELP ASAP PICTURE ATTACHED
Answer:
100000+)9(87)238388292838
Find the slope of the line that goes through the points (-4,4) and (4,6)
Answer:
1/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-(-4))
m=2/(4+4)
m=2/8
m=1/4
5.4-0.25 I'm so confused
Answer:
5.15
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
5.4 = 5.40
5.40
- 0.25
= 5.15
because 0.40 - 0.25 = 0.15
B. Direction: Rewrite the each of the following using EXPONENTS.
Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³
5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3
5) 6 with the exponent.
6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.
6) 10 × 10 × 10 = 10³
7) 3 × 3 × 3 × 3 = 3⁴
_____
Hope it helps ⚜
Ezra has $10 to spend on a taxi ride. The taxi company charges a flat rate of $4, plus $1.50 per mile. What is the maximum amount of miles Ezra can afford to travel in this taxi?
PLS ANSWER ASAP I WILL GIVE BRAINLIEST AND WILL GIVE 22 POINTS!!!!
Help help help help help
Answer:
100°
Step-by-step explanation:
Answer:
∡5=100°
Step-by-step explanation:
∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.
Brainliest would be appreciated! :-)
Yep me pls thanks you so much
Answer:
32
Step-by-step explanation:
To solve, simply put 4 in place of x. 8 times 4 is 32
can someone help me with this i’ll give you 25 points
Answer:
Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.
Step-by-step explanation:
Answer:
angle1 = 163°
angle2 = given in diagram
angle 3 = alternating angle 1, so 163°
angle 4 = alternating angle 2, so 17°
Step-by-step explanation:
noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).
an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.
There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
Answer:
His mother baked 7 more cookies
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
8 times the sum of a number 4 is 5 with the variable w
Answer:
8(w+4)=5
Step-by-step explanation:
What is the smallest integer value that makes the inequality true? 3x - 10 > 2x + 4
Answer:
x=0 is the smallest integer
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
64,16,4,…
This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
To learn more about the geometric progression here:
https://brainly.com/question/29657988
#SPJ7
The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?
Answer:
12.5%
Step-by-step explanation:
I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answer:
Step-by-step explanation:
please help, theres a picture
Answer:
C 1/-3
Step-by-step explanation:
To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!
In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning form my mistakes:)
*Also if I am correct could you please mark me brainliest? I am trying to level up!!
The ration of boys to girls in the classroom is 5 to 7 if there are 35 girls then how many boy are there construct a tape diagram to demonstrate
Answer:
5+7=12-35=-23
Step-by-step explanation:
I need help with this please hurry it's timed
Answer:
c 5.34
Step-by-step explanation:
-2(4x-6)=6-6x help me
Answer:
x=3
Step-by-step explanation:
you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answersplease this done soon asap
Answer:
x-variable
Step-by-step explanation:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
Answer:
1. Y is the variable terminated.
2. X = 1
3. Y = -1
4. (1,0) and (0,-1)
Step-by-step explanation:
After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.
From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.
Our solution would be (1,0) and (0,-1)
22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:
Answer:
11 million
Step-by-step explanation:
20 -12 +3 = 11
There will be 11 million shares of stock in the treasury.
I need a lot of help
Answer:
lol wat r u doing .........
The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem
Answer:
63 feet
Step-by-step explanation:
perimeter is the sum of all four sides and, since it's a square then all sides are equal
to find how long each side is divide 252 by 4
252÷4 = 63
Answer:
It seems like you want to solve the question, so I'll not include the answer
Square has 4 sides and each sides are identical length so.
And Perimeter is just the total length of the sides of the shape. So...
Mathematically
Perimeter of square = 4s
where s is length of one side of square