Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
The symbolic distribution is:
[tex]P(X = 1) = y[/tex]
[tex]P(X = 2) = x[/tex]
[tex]P(X = 3) = y[/tex]
[tex]P(X = 4) = x[/tex]
[tex]P(X = 5) = y[/tex]
[tex]P(X = 6) = x[/tex]
The sum of all probabilities is 1, hence:
[tex]3x + 3y = 1[/tex]
Simplifying by 3:
[tex]x + y = 0.3333[/tex]
[tex]y = 0.3333 - x[/tex]
2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:
[tex]x = 2y[/tex]
[tex]x = 2(0.3333 - x)[/tex]
[tex]3x = 0.6667[/tex]
[tex]x = \frac{0.6667}{3}[/tex]
[tex]x = 0.2222[/tex]
Then:
[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]
Hence, the distribution is:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
A similar problem is given at https://brainly.com/question/24855677
please help to find an explicit formula for calculating the sum Mn
The explicit formula for calculating the sum is
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
The sum of the nth term of a sequence is expressed as;
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]
Similarly for the sequence:
1 + 2+ 3 + 4+...
[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]
Taking the product of the sum to get the explicit formula for calculating the sum
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
Learn more here: https://brainly.com/question/24547297
Question
Write the sentence as an inequality.
A number t multiplied by −4 is at least −25
Answer:
[tex]-4t \geq -25[/tex]
Step-by-step explanation:
"A number t multiplied by −4" can be written as '-4t'
At least is a phrase for "greater than or equal tp", so that would be our sign for the inequality.
A number t multiplied by −4 is at least −25 should be:
[tex]-4t\geq-25[/tex]
Hope this helps.
so 13+139+123+129 so WHAT does this =
Answer:
404
Step-by-step explanation:
you just add numbers you know first
Yeah im just gonna send a picture
Answer:
I , II, and III are true
Step-by-step explanation:
4+2x≤4
Subtract 4 from each side
4+2x-4≤4-4
2x≤0
Divide by 2
2x/2 ≤0/2
x≤0
0 is less than or equal to 0 so I is true
-4 is less than or equal to 0 so II is true
-3 is less than or equal to 0 so III is true
Find the value of x.
3 cm
5 cm
8
6 cm
2 cm
13 cm
X = [?] cm
Enter a decimal rounded to the nearest tenth.
Answer:
x = 3.6
Step-by-step explanation:
If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x = 6 × 3 = 18 ( divide both sides by 5 )
x = 3.6
Using the intersecting chord theorem, the value of x is 3.6 cm
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We are given the parameters as;
the length of chords = x + 5 and 9 cm.
Using the intersecting chord theorem,
We know that If two chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is;
5x = 6 × 3
5x = 18
Now divide both sides by 5
x = 3.6
Learn more about circle here;
brainly.com/question/12512221
#SPJ2
Ana is a dedicated Skee Ball player (see
photo) who always rolls for the 50-point slot. The
probability distribution of Ana’s score X on a single
roll of the ball is shown below. You can check that
Mx = 23.8 and og
12.63.
Find and interpret mean
Find and interpret standard deviation
Answer:
i dont know 69 420?
Step-by-step explanation:
find the sum or difference of 1/9 - 4 11/12
Answer:
-65/36
Step-by-step explanation:
The owner of a bookstore buys used books from customers for one dollar and 50 Cent each owner then resells the used books for 400% of the amount he paid for them what is the price of a used book in the bookstore?
(PHOTO) please help need this done by tomorrow thank you.
Answer:
x=9
Step-by-step explanation:
The purple expressions are equal because they are Z angles.
So solve
2x + 15 = 5x - 12
=>
15 + 12 = 5x - 2x
27 = 3x
x = 27/3 = 9
x/-5+6 is greater than or equal to 2
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
Write out the problem
[tex]\frac{x}{-5+6} \geq 2[/tex]
Simplifiy -5 + 6 = 1
[tex]\frac{x}{1} \geq 2[/tex]
Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so
[tex]\frac{x}{1} =x[/tex]
[tex]x\geq 2[/tex]
Chris drives to a nearby city that is 30 miles away. The average miles per gallon for his car is 20. Gas prices are currently $3.49 per gallon. How much will he spend on gas to drive to the city
Answer:
5.235 (Simplifies as $5.24)
Step-by-step explanation:
1 gal = 20 miles
1.5 gal = 30 miles
1 gal = $3.49
1.5 gal = $5.235
Write a ratio for 2 batches of this recipe.
A trampoline gym charges $6 for
1
2
of an hour. At that rate, what does 1 hour cost?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
HELP ME PLS
Answer:
$12
Step-by-step explanation:
Assuming you meant $6 per 1/2 hour
since by multiplying 1/2 by 2 we get 1 ( our unit rate) 6*2 = 12
whole number
12
fraction
12/1
Brainliest would be appreciated if this is helpful. Let me know if you have more questions
Hope this helps!
Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.
For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability that it comes up five exactly once is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]
0.3472 = 34.72% probability that it comes up five exactly once.
A similar problem is given at https://brainly.com/question/24863377
help me again due today there is more question after
Given equation
[tex]\\ \sf\longmapsto 42=6b[/tex]
[tex]\\ \sf\longmapsto 6b=42[/tex]
Take 6 to right[tex]\\ \sf\longmapsto b=\dfrac{42}{6}[/tex]
[tex]\\ \sf\longmapsto b=7[/tex]
Option D
PLEASE HELP LOOK AT THE PIC BELOW
Answer:
The simplest answer is
[tex] \frac{16}{21} [/tex]
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore the answer is :
[tex]\sf \frac{16}{21} [/tex]
(A) use the Pythagorean theorem to determine the light of the unknown side of the triangle, (B) determine the perimeter of the triangle, and ( C) determine the area of the triangle the figure is not draw to scale
8 glasses every 24 hours
Answer:
f(x)= 8x
Step-by-step explanation:
x represents the number of days. 8 represents the number of glasses per day.
How do I find the percent of change
Answer:
200%
Step-by-step explanation:
It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.
The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean selling price of $275,000 and a standard deviation of $10,500. If 35 homes sell in this neighborhood, what is the probability that the average selling price of the 35 homes will be within $2000 of the true mean (that is, what is the probability the sample mean will be between $273,000 and $277,000)
The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
First, we need to find the z-score and this is expressed according to the formula;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
x is the sample space
[tex]\mu[/tex] is the mean value
[tex]\sigma[/tex] is the standard deviation
Given the following parameters
Mean = $275,000
Standard deviation = $10,500
If the true mean is $273,000, then;
[tex]z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905[/tex]
If the true mean is $277,000
[tex]z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905[/tex]
This means that the z-score is between -0.1095 and 0.1095
Pr( -0.1095 ≤ z ≤ 0.1095)
According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
Learn more here: https://brainly.com/question/17436641
What is the slope of the line? The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. O-3 O- 3 Prism vs. Pyramid 1 10 M 9 8 3 Prism Volume (cubic units) 6 5 3 1 2 3 4 5 6 7 8 9 10 Duramid Valuma louhin rinite! Save and Exit Nect Submit Mark this and retum
Answer:
3
Step-by-step explanation:
y=3x
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
What is the slope of the line?
Answer:
rise is 4 and run is 1 so 4/1 or 4
the answer is b
Hope This Helps!!!
find the length of the unknown side of a right triangle with sides a,b, and c, where c is the
hypotenuse, using the following information. a=10, b=24
Answer:
hlo georgia can you become my friend please
Answer:
[tex]c=26[/tex]
Step-by-step explanation:
The Pythagorean Theorem goes like this
[tex]a^{2}[/tex][tex]+b^{2}=c^2[/tex]
[tex]10 \cdot 10 =100[/tex]
[tex]24 \cdot 24=576[/tex]
[tex]100+576=676[/tex]
Now we find the square root of 676
[tex]\sqrt{676} =26[/tex]
[tex]side[/tex] [tex]c=26[/tex]
Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units
Answer:
B) 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means ...
BE = ED
3 -9x = -8x +14
-11 = x . . . . . . . . . . . . add 9x -14
BE = 3 -9x = 3 -9(-11) = 3 +99
BE = 102 units
Edgar Elementary
School is having a reading contest. Six
fourth-grade classes each set a goal to read
1,266 pages. Six fifth-grade classes each
set a goal of 2,212 pages. How many more
pages does each fifth-grade class have to
read than each fourth-grade class?
Answer:3333
Step-by-step explanation:
The hole for a support needs to be 4 feet deep. It is currently 2 feet 9 inches deep. How much deeper
must the hole be? Use pencil and paper. Show two ways to solve this problem. Use the conversion
12 inches
factor
1 foot
The hole needs to be inches deeper.
Enter your answer in the answer box and then click Check Answer
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CA
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T
Answer:
1 ft 3 inches
Step-by-step explanation:
I need the first question pls
Answer:
Step-by-step explanation:
All magnets have two poles -- arbitrarily called North and South; a magnet is characterized by the magnetic force it creates.
How many ⅖ are in 1½
Answer:
3 (remainder 3)
Step-by-step explanation:
what is the answer to this?
s = standard version amount
h = high quality version amount
we know that there were 1090 downloads of the song, meaning s + h = 1090.
we also know that the total amount of MBs downloaded was 3353 MBs, and since the standard is 2.1 MBs and the high quality is 4.9MBs, then 2.1s + 4.9h = 3353.
[tex]\begin{cases} s+h=1090\\ 2.1s + 4.9h = 3353\\[-0.5em] \hrulefill\\ h = 1090 - s \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{2.1s+4.9(1090-s) = 3353} \\\\\\ 2.1s + 5341 - 4.9s = 3353\implies -2.8s + 5341 = 3353 \\\\\\ -2.8s=-1988\implies s = \cfrac{-1988}{-2.8}\implies \boxed{s = 710}[/tex]