Answer:
E) 16
Step-by-step explanation:
4 * 4 = 16
Hope this helps
The solution is Option C.
The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the total number of teams be n = 4 teams
Each team plays the other team only once , so x = 2
The number of games played by 4 teams if they play each other only once is given by Combination
ⁿCₓ = n! / ( ( n - x )! x! )
Substituting the values in the equation , we get
⁴C₂ = ( 4! ) / 2! x 2!
On simplifying the equation , we get
⁴C₂ = ( 4 x 3 ) / 2 x 1
⁴C₂ = 2 x 3
⁴C₂ = 6 games
Therefore , the value of ⁴C₂ =6
Hence , the number of games is 6 games
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How to solve and answer
Answer:
The corrects answers are: C, D, E, F
Step-by-step explanation:
1.
What is the slope of the line through the points (-2, -1) and (8, -3)?
Answer:
The slope of the line is [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
For finding the slope of this line with the points (-2,-1) and (8,-3), start by writing down the information given from the question.
[tex]y_{2}= -3[/tex]
[tex]y_{1}=-1[/tex]
[tex]x_{2}=8[/tex]
[tex]x_{1}= -2[/tex]
Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(-1)}{8-(-2)}[/tex]. Then, simplify the equation, which will look like [tex]\frac{-2}{10}= -\frac{1}{5}[/tex]. The final answer will be [tex]-\frac{1}{5}[/tex] in fraction form or -0.2 in decimal form.
8+(10-7) writen in words
Answer: 11
Step-by-step explanation:
8 + (10 - 7)
first you would solve the parenthesis, to support the order of operations.
8 + ( 3)
ten minus seven is three, so we replace the "10-7" in the parenthesis with "3"
next you add the eight and the three together
8 + 3 = 11
the total is eleven :)
Hey there!
Do PEMDAS to solve
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
8 + (10 - 7)
10 - 7 = 3
8 + 3
= 11
Or
8 + (10 - 7 )
8 + 10 - 7
8 + 10 = 18
18 - 7
= 11
Answer: 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!
Answer:
6/6=1
Step-by-step explanation:
There are six sides on a die and you have six total outcomes. Hope this helps! :)
Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
Inscribe a circle in a unit square and to r= 1000 random.
a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?
Step-by-step explanation:
area of square = 1
area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]
bu estimate [tex]p^ = X/n = 760/1000 = 0.76
Therefore,
[tex]\frac{\pi }{4} \approx 0.76[/tex]
[tex]\pi \approx 0.76*4 =3.04[/tex]
b) if n tend to infinity
[tex]\pi will approach 3.14[/tex]
Answer:
uvfhmfa
Step-by-step explanation:
What does X equal ????
3x-4=8 what is the value of X
Answer:
x = 4
Step-by-step explanation:
Given
3x - 4 = 8 ( add 4 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Can someone help me with this question please.
Answer:
40
Step-by-step explanation:
As the lawn size increases by 4 the weight increases by 8
Suppose a jar contains 8 red marbles and 25 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.
Answer: [tex]\dfrac{7}{132}[/tex]
Step-by-step explanation:
Total marbles in the jar = 8+25 = 33
Using combinations, the number of ways of choosing two marbles out of 33= [tex]\dfrac{33!}{2!(33-2)!}\\\\=\dfrac{33!}{2\times31!}\\\\=\dfrac{33\times32}{2}=528[/tex] (total outcomes)
Similarly, the number of ways of choosing two red marbles =
[tex]\dfrac{8!}{2!6!}\\\\=\dfrac{8\times7}{2}=28[/tex](favorable outcomes)
Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
[tex]=\dfrac{28}{528}\\\\=\dfrac{7}{132}[/tex]
hence, required probability = [tex]\dfrac{7}{132}[/tex]
If the length of a rectangle is four times its width and the perimeter of the rectangle is 90 yd, whats its area?
Answer:
324 yds ^2
Step-by-step explanation:
If length=l and width=w, you could write an equation to find the length and width. Then use that to find the area. L=4w. There are two of each side in the rectangle. 4w+4w+w+w=10w. 10w=90. w=9. 4w=36. L=36. 36*9=324yds^2
At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is
Answer:
The appropriate answer is "$12".
Step-by-step explanation:
As per the question,
Price per ticket,
= [tex]4+k[/tex]
Number of people,
= [tex]1800-90k[/tex]
Now,
The revenue (R) will be:
= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]
By putting the values, we get
= [tex](4+k) (1800-9k)[/tex]
= [tex]-90k^2+1440k+7200[/tex]
or,
⇒ [tex]R'=1440-180k=0[/tex]
⇒ [tex]180k=1440[/tex]
⇒ [tex]k=\frac{1440}{180}[/tex]
[tex]=8[/tex]
hence,
The ticket price will be:
= [tex]4+k[/tex]
= [tex]4+8[/tex]
= [tex]12[/tex] ($)
9,16,25,36 arithmetic or geometric?
24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?
Answer:
9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric
Step-by-step explanation:
1. has no common number
2. goes down by 6 each time
3. is divided by 5 each time
please help with the steps thx
Answer:
amount financed: 47800
monthly payment: 454.97
FC: 6796.40
558390.76
198390.76
Step-by-step explanation:
1.)
the amount financed is the cost- amount paid today
61800-14000=47800
effective rate: .027/12=
assuming it's an annuity immediate...
x=payment
[tex]47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97[/tex]
going to assume that the last part is asking for the interest
to find the interest do financed amount-total paid
454.97*10*12-47800=6796.4
2.)
Find the effective rate
.056/4=.014
assuming annuity immediate
[tex]6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595[/tex]
interest earned:
558390.7595-6000*60=198390.76
A graph is shown below:
A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.
What is the equation of the line in slope-intercept form?
Answer:
b
Step-by-step explanation:
The equation of the line in slope-intercept form is y= 4x+0
What is slope intercept?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
slope m,
= y2-y1/x2-x1
= 16-0/4-0
=16/4
=4
m=4
So, the equation will be , y= 4x+0
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900 tickets were sold. Adult tickets cost $10, children's cost $4, and a total of $7500 was
collected. How many tickets of each kind were sold?
Answer:
650 adult tickets and 250 children's tickets.
Step-by-step explanation:
What was the original price? Explain how you arrived at this answer.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
180
Step-by-step explanation:
120 divide by 2
then times by 3
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E.g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false?
E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy
Answer:
True
Step-by-step explanation:
Given that X,Y and Z are jointly continuous random variables
For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy
For all choices of g the function is true given that g(y) = a random variable
A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.
What is the volume of a sphere with a radius of 20 m? 10,666.67π m3 6,000π m3 85,333.33π m3 533.33π m3
Answer:10,666,66 [tex]\pi[/tex]m^3
Step-by-step explanation:
V=[tex]\frac{4}{3} \pi r^{3}[/tex]
[tex]\frac{4}{3} \pi 20^{3} \\ V=10,666.66 \pi[/tex]
the value of 456×6+35×2 is
Answer:
2806
Step-by-step explanation:
→ First complete the multiplication
456 × 6 = 2736 and 35 × 2 = 70
→ Add the totals
2736 + 70 = 2806
Answer:2806
Step-by-step explanation:
^﹏^
what are functions in math
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.
Required:
Is it likely that his team's scores is different than the national average?
Answer:
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Step-by-step explanation:
The National average number of runs scored by a LL team is
μ = 5.7
Sample Information:
size sample n = 5
sample average x = 7.4
sample standard deviation s = 2.88
Is required to investigate if that sample average is statistically different from the National average
We will do a test with 95 % of confidence Interval that means
significance level α = 5 % or α = 0.05.
The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.
Then α = 0.05 α/2 = 0.025
df = n - 1 df = 5 - 1 df = 4
Then from t-student table we get t(c) = 2.132
Hypothesis test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate t (s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 7.4 - 5.7 )* 2.24 / 2.88
t(s) = 1.7* 2.24 / 2.88
t(s) = 1.32
Comparing t(s) and t(c)
1.32 < 2.132
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
. How much time, in minutes, did she spend studying Spanish?
The time Kathleen spent studying Spanish is
SEE IMAGE BELOW AND ONLY ANSWER IF YOU KNOW THE ANSWER
Find the length of side x
Answer:
Step-by-step explanation:
tan(30) = x/1
sqrt(3) / 3 = x/1
x= sqrt(3) / 2
HELP!! I don’t know part C or D and I need to know if part A and B are correct
Answer:
Step-by-step explanation:
A and B are correct!
For part C, just multiply the dimensions given to you by four.
For part D, the answer would be 4 x 4 x 4 which is 264
i need help pls it’s timedd!!!!
Answer:
5.
Step-by-step explanation:
If you were to rotate the triangle, you can apply Pythagoras Theorem.
Therefore,
a^2 = 12^2 - 13^2 (Note: a^2 = a squared)
a^2 = 144 - 169
a^2 = -25.
a = 5.
Not sure why its negative though im pretty sure its the right answer.
in BCD triangle :
DC^2 = BC^2 + BD^2
13^2 = 12^2 + BD^2
169 = 144 + BD^2
BD^2 = 169 - 144
BD^2 = 25
BD = 5
_______________________
In the other hand we have :
BD^2 = AB × BC
5^2 = AB × 12
AB = 25/12
________________________
Also we have :
AD^2 = AB × AC
AD^2 = 25/12 × ( 25/12 + 12 )
AD^2 = 25/12 × ( 25/12 + 144/12 )
AD^2 = 25/12 × 169/12
AD^2 = 25 × 169 / 12 × 12
AD^2 = 5 × 5 × 13 × 13 / 12 × 12
AD = 5 × 13 / 12
AD = 65 / 12
AD = 5.42
Thus the correct answer is option C
PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?
Answer:
No, you cannot have a negative distance.
Step-by-step explanation:
No, you cannot have a negative distance.
Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.
Hope this helps, please mark brainliest! :)
Julie borrowed 3500 for 3years at a seven and a half simple interest rate how much interest rate is that
Answer:
787.50
Step-by-step explanation:
interest=3500*7.5*3/100
interest=35*7.5*3
interest=787.50
giải phương trình vi phân: y" - 5y' + 6y = 6x + 7
Неоднородное ДУ второго порядка. Детали в аттаче.
