lowest common multiple of 3,5 and 6​

Answer:

99.8% probability of at least one failure.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of success is 30%.

This means that [tex]p = 0.3[/tex]

Five trials:

This means that [tex]n = 5[/tex]

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.

Less than five sucesses, which is:

[tex]P(X < 5) = 1 - P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002[/tex]

[tex]P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998[/tex]

0.998*100% = 99.8%

99.8% probability of at least one failure.

Answer:

120(0.96)^n

Step-by-step explanation:

6% = 0.06

1 - 0.06 = 0.94

p = 120(0.96)^n

Answer:

[tex] \displaystyle x = \frac{3}{4} [/tex]

Step-by-step explanation:

we are given that

[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]

we want to figure out x

remember that,

In unit circle x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity

given by

[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]

we are given sin=-√7/4 thus

substitute:

[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]

simplify square:

[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]

simplify Substraction:

[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]

square root both sides:

[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

[tex] \displaystyle x = \frac{3}{4}[/tex]

Answer:

6a + b^3 while a = 3 and b = 2 (i'm assuming it meant b^3 but let me know if it was supposed to be something else)

6(3) + (2)^3

18 + 8

26

Answer:

x = 12

arcYZ = 108degrees

Step-by-step explanation:

In geometery, angle in the same segment of a circle are equal. Hence;

m<A = ,<X

4x+6 = 5x - 6

4x - 5x = -6 - 6

-x = -12

x = 12

<A = 4x + 6

<A = 4(12) + 6

<A = 48 + 6

<A = 54 degrees

Since <A = 1/2 arcYZ

54 = 1/2 * arcYZ

arc YZ = 54 * 2

arcYZ = 108degrees

Answer:

The answer is "between 60 and 96 jobs per day".

Step-by-step explanation:

In this solution, there is a mound-sized and symmetrical distribution for the number of works submitted to your computer per day with mean=78, and standard deviation=6.

Therefore a distribution of 95% decreases between the average [tex]\pm[/tex] 3* standard deviation

Therefore,

[tex]\to 78\pm (3*6)=(78-18, 78+18)=(60,96)[/tex]

The 95% distribution falls in between 60 and 96 jobs per day.

Answer:

8

Step-by-step explanation:

120/15

Answer: I have the same question, have you gotten the answer yet?

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

^ you have to isolate the radical than raise each side to the power of its index which gets you

x= -4

Answer:

Cos(M)=35/37

Cos(N)=12/37

Sin(M)=12/37

Sin(N)=35/37

Tan(M)=12/35

Tan(N)=35/12

Answer:

the line falls

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance.

Option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

"A dot plot is used to represent any data in the form of dots or small circles. It is similar to a simplified histogram or a bar graph as the height of the bar formed with dots represents the numerical value of each variable. Dot plots are used to represent small amounts of data".

For the given situation,

A randomized study shows the comparison of two drugs that are designed to lower a person's triglyceride level.

Drug A decreased their triglyceride level by a mean of 69.

Drug B decreased their triglyceride level by a mean of 45.

Mean difference = [tex]69-45[/tex]

⇒ Mean difference = [tex]24[/tex]

The data are rerandomized and the difference in the means is shown in the dot plot.

In the dot plot, the difference in the means is rerandomized and is arranged between the range 6 to 22.

Hence we can conclude that option (A) difference of the means is significant because the rerandomizations show that it is within the range of what likely happens by chance is the correct option.

Learn more about the dot plot here

https://brainly.com/question/23498615

#SPJ2

Answer:

35000 Litre

Step-by-step explanation:

Recall:

1 hectoliter = 100 liter

Hence,

350 hectoliter = (100 * 350) = 35000 Litre

Question B. Isn't clearly stated

Answer:

See below.

Step-by-step explanation:

These work just like ordinary algebraic expresssions, except you have to remember always:  i^2 = -1    i squared is negative one!

(4 - 3i)(4 + 3i)   "FOIL" the expression to get 16 - 3i + 3i - 9i^2.  But i^2 = -1, so this is the same as 16 - 3i + 3i + 9.  Combine like terms.

Ans. 25

(4 - 3i)(i)  Distribute the i to the two terms of the binomial.

4i - 3i^2 = 4i - 3(-1)

Ans. 4i + 3

(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)

Ans. 24i -18

(6i)(i) = 6i^2 = 6(-1)

Ans. -6

(-5)(4 + 3i) = -20 - 15i   That's it; there's no i^2 to deal with.

Ans. -20 - 15i

(-5)(i)   = -5i  Again, that's all there is to it.

Ans. -5i

Answer:

The simplest answer would just be 14:19

However the unsimplified answer is 1260:1710

Answer:

A. 30 cubic units

Step-by-step explanation:

First, you must multiply the two fractions together to get a decimal number. so, 1 1/2x 2 1/2= 3.75

Then, You multiply your answer with your current whole number, 8.

3.75 x 8 = 30.

Answer:

30 cubic units

Step-by-step explanation:

To find the volume, you need to use the following formula.

[tex]V= Bh[/tex]

The base is the product of the length and width ( [tex]1\frac{1}{2}[/tex] × [tex]8[/tex] ). Now that we have all of the data we need, we can plug it all in.

[tex]V = 12[/tex] × [tex]2\frac{1}{2}[/tex]

After multiplying, you'll find that the total of the volume is 30. Sorry for taking so long, just hoped this helped ^-^

Answer:

i dont see the question?

Step-by-step explanation:

Answer:

42. acute

43. obtuse

Step-by-step explanation:

Obtuse: which one of the interior angles measures more than 90° degrees, then the rest are less than ninety.

Acute: all less than ninety and all different.

Answer:

412 yards each

Step-by-step explanation:

4,532/11=412

9514 1404 393

Answer:

  minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

Then the remaining shipments are fulfilled from Plant 1.

Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

  100×10 +20×24 +20×21 +20×19 +40×18

  = 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost

Answer:

49 is your answer :)

Step-by-step explanation:

Have a nice dayyy <3

Answer: 115

Step-by-step explanation:

<COD = 180°

<AOD = 180 - 65 = 115

Hello~

Okay so lets try dividing.

57 divided by 3?

Well that's equal to 19!

So it can be distributed into 19 ways. (people)

Ary~

Answer:

8 / 15

Step-by-step explanation:

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Required outcome :

Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13

Total required outcomes = 8

Probability = required outcome / Total possible outcomes

P(even number or 13) = 8 / 15

Answer:

[tex]45\:\mathrm{in}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:

[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]

Answer:

30 in.

Step-by-step explanation:

[tex]h=3\frac{V}{a^{2} }[/tex]

[tex]h=3\frac{3840}{16^{2} }[/tex]

45.12

That is not an option, so go with the closest one 30 in.

Answer:

Your expected gain is of $10.7.

Step-by-step explanation:

Expected earnings:

The expected earnings is each prize multiplied by it's probability of being earned.

So

5% probability of earning $25.

5*15% = 75% probability of earning $15.

20% probability of earning $1. So

0.05*25 + 0.75*15 + 0.2*1 = 12.7

Cost of token:

The token costs $2, which means that we subtract $2 from the expected earnings.

12.7 - 2 = 10.7

Your expected gain is of $10.7.