A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?

Answer:

3 (remainder 3)

Step-by-step explanation:

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:

In this problem:

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

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

Answer:

f(x)= 8x

Step-by-step explanation:

x represents the number of days. 8 represents the number of glasses per day.

Answer:

1 ft 3 inches

Step-by-step explanation:

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.

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

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

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

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

Given equation

[tex]\\ \sf\longmapsto 42=6b[/tex]

[tex]\\ \sf\longmapsto 6b=42[/tex]

[tex]\\ \sf\longmapsto b=\dfrac{42}{6}[/tex]

[tex]\\ \sf\longmapsto b=7[/tex]

Option D

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

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

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%.

Answer:

404

Step-by-step explanation:

you just add numbers you know first

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

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]

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

Answer:

i dont know 69 420?

Step-by-step explanation:

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]

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.

Answer:

-65/36

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=3x

Answer:3333

Step-by-step explanation:

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]

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!

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.

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]