Assume that an multiple choice exam has 8 questions, each with four answers. Further each question is independent, that every answer is equally likely to occur, and that there is onecorrect answer (a) Explain why the number of correct answers for one student can be considered a binomialrandom variable, and specify n and p.(b) Find the probability that a student gets all questions correct.(c) Find the probability that a student gets at least 2 questions correct.

The probability of getting 2 socks of the same color given by the following solution is 65/132.

Beginning with the first sock, we have three options: blue, white, or grey. If we wanted to know the likelihood of drawing only one blue sock, we might divide the number of blue socks in the drawer by the total number of socks (2 / 12).

We have three options for the second sock: blue, white, or grey. Keep in mind that we are drawing without replacement, so there is now one fewer sock in the drawer. Thus, with three alternatives for the first sock and three options for the second sock, the total number of combinations is three times three, or nine. The following are all of the potential combinations: (blue, blue), (blue, white), (blue, grey), (white, blue), (white, white), (white, grey), (white, blue), (white, white), (white, grey), (grey, blue), (grey, white) (gray, gray).

So the probability of 2 socks of the same color is, in equation form:

P(2 socks of same color) = P(blue sock first) * P(blue sock second) + P(white sock first) * P(white sock second) + P(gray sock first) * P(gray sock second).

= 2/12*1/11 + 4/12*3/11 + 6/12*5/11

= 65/132

Therefore, the probability of getting 2 socks of the same color 65/132.

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Complete question:

Mixed in a drawer are 2 blue​ socks, 4 white​ socks, and 6 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color.

Answer:

I think n is -25 but im not sure

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

10-22=-12

enteric shop is 92.28 before

Answer:

i think its six

Step-by-step explanation:

6-3=3

3+3=6

The value of the number that it is decreased by 3 and the result is doubled will be 6.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Suppose that number is x.

x is decreased by 3 = x - 3

The results is doubled = 2(x - 3) = x

2x - 6 = x

2x - x = 6

x = 6

Hence "When a number is reduced by three and the outcome is doubled, its value becomes six".

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The expression for the nth term an, for the infinite series s=∑n=1[infinity]an is ∑n=4¹⁶an = 468

We know that the sum of the first n terms of the series is given by sn. Therefore, we can find an expression for the nth term an by taking the difference between successive values of sn:

sn - sn-1 = an

(4-4n²) - (4-4(n-1)²) = an

Simplifying this expression, we get:

an = 8n - 4

Now we can use this expression to find the values of ∑n=1¹⁰an and ∑n=4¹⁶an:

∑n=1¹⁰an = a1 + a2 + ... + a10

= (81 - 4) + (82 - 4) + ... + (8*10 - 4)

= 76

Therefore, ∑n=1¹⁰an = 76.

Similarly,

∑n=4¹⁶an = a4 + a5 + ... + a16

= (84 - 4) + (85 - 4) + ... + (8*16 - 4)

= 468

Therefore, ∑n=4¹⁶an = 468.

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Answer:

  cos(x) = Ten-fifteenths

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Answer:

c

Step-by-step explanation:

If a scientist has 315 cells in a container and she expects the number of cells to triple in one day then the number of cells the scientist will have after one day is equal to 945.

The number of cells the scientist will have after one day can be figured out using multiplication. Multiplication is one of the four parts of arithmetic. It can be considered as the opposite of division and can be defined as the repeated addition of the same number or groups of equal sizes.

The number of cells the scientist will have after one day can be calculated as follows;

Number of cells = 315

As it is expected to triple, which means that it is expected to increase three times in amount.

Therefore;

3 × number of cells in the container

3 × 315 = 945

Hence, the number of cells the scientist will have after one day is calculated to be 945.

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Answer:

h ≈ 2.64ft

Step-by-step explanation:

A = 2πrh + 2πr2

h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft

Kono Dio Da!!

The explicit formula for the given sequence is aₙ = 7n - 14.

The given sequence has a common difference of 7. To find an explicit formula for this arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term in the sequence, and d is the common difference.

In this case, the first term a₁ is -7, and the common difference d is 7. Plugging these values into the formula, we have:

aₙ = -7 + (n - 1)7

Simplifying further, we get:

aₙ = -7 + 7n - 7

Combining like terms, we have:

aₙ = 7n - 14

Therefore, the explicit formula for the given sequence is aₙ = 7n - 14.

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The function f(x, y, z) is given by:f(x, y, z) = x²yze+92 + (5z².sin(x²))/2 + xy²zeta + xy²e+y+ + 5xz² sin(xz) + C, where C is the constant of integration that depends on all three variables x, y, and z. Thus, we have found f.

To find f, you have to integrate the vector field given by the grad

f: (2yze+92 + 5z².cos(x2?))i + 2xzetya + (2xye+y+ + 10xz cos(xz))a.

The integrals will be with respect to x, y, and z.

Let's solve the above-given problem step-by-step:

Solve the grad f component-wise:

]grad f = (2yze+92 + 5z².cos(x2?))i + 2xzetya + (2xye+y+ + 10xz cos(xz))a

where grad f has three components that we integrate with respect to x, y, and z. Using the given function of f and the Fundamental Theorem of Line Integrals, we can calculate F.Using the Fundamental Theorem of Line Integrals, calculate F:∫F.dr = f(P) - f(Q), where P and Q are two points lying on the curve C. We will determine the function f for the integration above.

Finding f:As given in the question, grad f = (2yze+92 + 5z².cos(x2?))i + 2xzetya + (2xye+y+ + 10xz cos(xz))a

Integrating the x component, we get:

f(x, y, z) = ∫ 2yze+92 + 5z².cos(x2?) dx= x²yze+92 + (5z².sin(x²))/2 + C₁(y,z)Here, C₁(y,z) is the constant of integration that depends only on y and z. The term (5z².sin(x²))/2 is obtained by using the substitution u = x².

Integrating the y component, we get:f(x, y, z) = ∫ 2xzetya dy= xy²zeta + C₂(x,z)Here, C₂(x,z) is the constant of integration that depends only on x and z.

Integrating the z component, we get:f(x, y, z) = ∫ (2xye+y+ + 10xz cos(xz))a dz= xy²e+y+ + 5xz² sin(xz) + C₃(x,y)Here, C₃(x,y) is the constant of integration that depends only on x and y.

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Answer:

Yep......a lot of notifications on my phone.....lol

thx for points!

Follow me! :)

Step-by-step explanation:

-3m-2m<_ 11-76

-5m<_-65

m>_13

therefore, option 1, 13.

hope this helps you.

Answer:

Step-by-step explanation:

To find the number of real zeros of a polynomial, we can use Descartes' rule of signs. According to this rule, the number of positive real zeros of a polynomial is equal to the number of sign changes in the coefficients of the polynomial, or is less than that by a multiple of 2. Similarly, the number of negative real zeros is equal to the number of sign changes in the coefficients of f(-x), or is less than that by a multiple of 2.

For f(x) = 3x^5 - 12x^4 + 20x³ - 180x² + 120x+81​, there are 2 sign changes in the coefficients, so the number of positive real zeros is either 2 or 0. To find the number of negative real zeros, we can substitute -x for x in f(x) and simplify:

f(-x) = 3(-x)^5 - 12(-x)^4 + 20(-x)³ - 180(-x)² + 120(-x)+81

= -3x^5 - 12x^4 - 20x³ - 180x² - 120x + 81

There are 3 sign changes in the coefficients of f(-x), so the number of negative real zeros is either 3 or 1. Therefore, f(x) has either 2 or 0 positive real zeros, and either 3 or 1 negative real zeros.

To find the number of imaginary zeros, we can use the complex conjugate root theorem, which states that if a polynomial with real coefficients has a+bi as a root (where a and b are real numbers and i is the imaginary unit), then its conjugate a-bi is also a root. Since the coefficients of f(x) are all real, any non-real roots must occur in conjugate pairs.

Since f(x) has degree 5, it has 5 complex roots (counting multiplicities). If all the real zeros are distinct, then there are 5 distinct complex roots, and hence 5 imaginary zeros (again, counting multiplicities). If there are any repeated real zeros, then there are fewer than 5 distinct complex roots, and hence fewer than 5 imaginary zeros.

In summary, the number of real zeros of f(x) is either 2 or 0 positive zeros and either 3 or 1 negative zeros. The number of imaginary zeros is at most 5 (counting multiplicities).

Monique has a blog with her website and wants to evaluate the engagement of her readers. her blog posts usually take at least 4 minutes to read, and she wants to track the percentage of users who read an entire blog post. she should set up time-on-site goal.

The total amount of time a user spends on your website, also referred to as session duration, is the term "time on site." It is calculated by noting the timestamps of when a visitor accesses your landing page via a search engine or link and when they leave your website.

52 seconds is a decent average time on page benchmark across several industries. B2B websites have the highest Average Time On Page, which is roughly 82 seconds, according to data from 20 billion user sessions. The type of target audience, industry, and device type are just a few of the variables that affect a decent average time on page.

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Answer: Oliver is correct

Step-by-step explanation:*mine doesn’t have the line and stuff to show u how to explain it*

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

C and B

Step-by-step explanation:

Evaluate g(5) then substitute the value obtained into f(x)

g(5) = \(\sqrt{5-1}\) = \(\sqrt{4}\) = 2 , then

f(2) = 3(2) + 1 = 6 + 1 = 7

-----------------------------------------------------------------------------

f(x) = \(\frac{x^2+3}{(x-4)(x+8)}\)

the denominator of f(x) cannot be zero as this would make f(x) undefined.

equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

(x - 4)(x + 8) = 0

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 8 = 0 ⇒ x = - 8

the vertical asymptotes are x = 4 and x = - 8

Answer:

20 days

Step-by-step explanation:

50 divided by 5 = 10

10 times 2 = 20

is this an algebra class? if so it just

11.50x + 16y = 20.25

Answer:

There are 4 terms 3x, 5y, 10z, and 15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

                                                                     1      2     3     4

How many terms are in this expression?:3x- 5y+10z -15?

If this was helpful, please mark brainliest. Have a beautiful day!

Answer:

8

Step-by-step explanation:

sqrt4^2+sqrt4^2=4+4 the square root and power of 2 cancel out

Step-by-step explanation:

hope it is helpful to you

Answer:

10

Step-by-step explanation:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.

Hope this helps you :)

Answer:

x = 2

Step-by-step explanation:

-5(x + 2) = -20

-5x - 10 = -20

-5x = -20 + 10

-5x = -10

x = -10/-5

x = 2

Answer:

Step-by-step explanation:

-5(x+2)=-20

-5x -10=-20

-5x=-10

x=2

Answer:

1/17 mL of water

Step-by-step explanation:

5p = 85w

Divide both sides by 85.

5p/85 = 85w/85

p/17 = w

w = p/17

For 1 mL of papaya juice, p = 1.

w = 1/17

1/17 mL of water is used for 1 mL of papaya juice.

The probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

The probability of exactly 4 total launches being performed until an unsuccessful launch occurs, we can use the geometric probability formula.

In this case, the probability of a successful launch (p) is 0.7 (since the probability of an unsuccessful launch is 0.3). We want to find the probability of 4 successful launches followed by an unsuccessful launch.

The probability of exactly 4 successful launches followed by an unsuccessful launch can be calculated as follows:

P(4 successful launches followed by an unsuccessful launch) = (p⁴) × (1-p)

P(4 successful launches followed by an unsuccessful launch) = (0.7⁴) × (1-0.7)

P(4 successful launches followed by an unsuccessful launch) = 0.7⁴ × 0.3

P(4 successful launches followed by an unsuccessful launch) = 0.2401 × 0.3

P(4 successful launches followed by an unsuccessful launch) ≈ 0.0720

Therefore, the probability that exactly 4 total launches will be performed until an unsuccessful launch occurs is approximately 0.0720 or 7.2%

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Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

It is given to us that -

A basketball player claims to make 47% of her shots from the field

The player takes sets of 10 shots

Assuming that her claim is true, a total of 25 repetitions of a simulation were performed

The number of makes in each set of 10 simulated shots was recorded on the dot plot

We have to suppose this player attempts 10 shots in a game and makes only 3 of them.

For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.

From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -

P (x = 3) = 3/10 = 0.33 = 33%

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

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