a random number is selected from a random set 2,3,4,10

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that none of the LED light bulbs are defective is 0.2213.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given the probability of a bulb being a failure is 14%, therefore, the probability of bulb passing the quality check is 86%.

Let the probability of success be defined as 0.14 for binomial distribution, and the probability for failure be 0.86. Therefore, The probability that none of the LED light bulbs are defective is

P(x=0) = ¹⁰C₀ (0.14)⁰ (0.86)¹⁰ = 0.2213

Hence, The probability that none of the LED light bulbs are defective is 0.2213.

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Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

Answer:

(2+6)/2= 4 (x-coordinate of midpoint)

(7+3)/2= 5(y=coordinate of midpoint)

Answer:

Hope it will help you:)

Step-by-step explanation:

Solution:

here,

A(2,7)-([tex]x_{1,}y_{1[/tex])

B(6,3)-([tex]x_{2},y_{2[/tex])

Now using midpoint formula,

midpoint of ab=(x1 + x2)/2, (y1 + y2)/2

                        =(2+6)/2,(7+3)/2

                         =(8/2,10/2)

                          =(4,5)

The midpoint of AB is(4,5).

The number of the meals possible is 350.

The complete question is given below:-

A menu has 5 choices of appetizers, ten main courses, and seven desserts. How many meals are possible?

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

The number of the combination of the meals will be calculated as:-

N = 5 x 10 x 7

N = 350

Therefore the number of the meals possible is 350.

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Answer:

Step-by-step explanation:

hello :

y=x²-10x+16  in the form y=(x-h)²+k

y= x²-2(5)(x)+16  

y = x²-2(5)(x)+5²-9

y= (x-5)²-9    when h=5 and k = -9

Step-by-step explanation:

sorry sorry ^$£%£$¥#^÷£=₩€%¥=£=;÷¥÷¥9=

Answer: 75

Step-by-step explanation:

For the lines to be parallel, this means the given angles have to be congruent (because then the lines will be parallel by the converse of the corresponding angles theorem)

Answer:

6190

Step-by-step explanation:

you multiply 4 days by 24 because a day have 24 hrs,then you will multiply the answer by 60 ,then after multiplying by 60 you will add 16 minutes and if you want to put is in seconds you multiply by 60 again that's what I know

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 ,  the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .

Probability is the measure of likeliness of an event to happen

Let X denote the time to pass the kidney stone.

The random variable X follows normal Distribution

mean = 12 days days

standard deviation = 4 days

The distribution of X is  X - N ( 12 , 4)

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is

P ( X > 16) = 1 - P( X ≤ 16)

= 1 - P( Z ≤ (16-12)/4)

= 1 - P ( Z ≤ 1 )

= 1 - 0.84134

= 0.15866

P( X < x₀) = 0.75

[tex]\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75[/tex]

[tex]\rm \phi (\dfrac { x_o - 12}{4}) = 0.75[/tex]

Using the excel function the z score for the area 0.75 is

z - score = 0.6745

[tex]\rm \dfrac {x_o - 12}{4} = 0.6745[/tex]

x₀  = 0.6 * 4 + 12

x₀ = 14.4

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Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0  and k = 8. Since 0 < (8-1)

0 < 7 the series converges

Answer:

-26

Step-by-step explanation:

Multiply -4 by 7

1-20-7

Subtract 20 from 1

-19-7

Subtract 7 from -19

-26

The value of a given that A = 63°, C = 49°, and c = 3 is 4 units

The given parameters are:

A = 63°, C = 49°, and c = 3

Using the law of sines, we have:

a/sin(A) = c/sin(C)

So, we have:

a/sin(63) = 3/sin(49)

Multiply both sides by sin(63)

a = sin(63) * 3/sin(49)

Evaluate the product

a = 4

Hence, the value of a is 4 units

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Answer:

20°

Step-by-step explanation:

take the sum of 3y + 10 and y and equal it to 90° that creates an equation making it easier for you to continue

Answer:

let's assume the opposite angle of Y to be X

angle Y = angle X ( vertically opposite angles)

3y + 10 + X + 90° = 180° ( forming linear pair)

3y + X + 100 = 180°

X + 3y = 80° ----(1)

Y + 3y = 80°

4y = 80°

y = 20°

Answer:

Step-by-step explanation:

Comment

If 4 numbers have an average of 9, then total of the 4 numbers is 4 * 9 = 36.

If one of the 4 numbers is  a 7, then

7 + x = 36 where x is the sum of the other 3 numbers.

7 + x = 36           Subtract 7 from both sides

7- 7 +x = 36 - 7

x = 29

Answer 29

The amount of interest after 3 years will be $15.

The complete question is given below.

You loaned a friend $100 and will charge him 5% annual simple interest when he pay it back. What is the amount of interest after 3 years?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The interest is given as

I = (P × R × T) / 100

Where, P is the initial amount, R is simple interest rate, and T is the time.

We have

P = $100

R = 5%

T = 3 years

Then the interest will be

I = (100 × 5 × 3) / 100

I = $15

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Using it's concept, it is found that the probability that the button is either pink or blue is:

[tex]p = \frac{26}{29}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

[tex]\frac{x}{y} = \frac{3}{8}[/tex]

3y = 8x

[tex]y = \frac{8x}{3}[/tex]

The total number of buttons is given by:

[tex]T = x + \frac{8x}{3} + 6x[/tex]

[tex]T = \frac{29x}{3}[/tex]

The number of pink or blue is given by:

[tex]y + z = \frac{8x}{3} + 6x = \frac{26x}{3}[/tex]

Hence the probability is given by:

[tex]p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}[/tex]

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Answer:

Run 4 hours, Walk 8 hours.

Step-by-step explanation:

Let R be the running time

Let W be the walking time

Distance = Speed x Time

48 = 6R + 3W (equation 1)

12 = R + W (equation 2)

We will use elimination method to solve for these simulteanous equations.

Multiply Equation 2 by 3.

12x3 = 3(R+W)

36 = 3R + 3W (equation 3)

now subtract equation 3 from equation 1.

48-36 = 6R - 3R + 3W - 3W

12 = 3R

R = 12/3

= 4hours

now Substitute R into equation 2.

12 = 4 + W

W = 12 - 4

= 8

Therefore Michael plan to run for 4 hours and walk for 8 hours.

Answer:

0 = 0 thats my answer

Step-by-step explanation:

The degree of the provided polynomial is 18, and the leading term is √7.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

[tex]= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9[/tex]

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Answer:

24000

Step-by-step explanation:

6/5×20000

=24000

[tex]\text{First I would recommend replacing the question mark with x}\\\text{We have two ratios, }\\\text{and we need to solve that hard-looking equation}\\\text{in terms of x}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{We can multiply x times 36:: 36x}\\\text{We can multiply 4 times 27:: 108}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Now it's easier to solve for x:: 36x=108; x=3}\\\text{ (we divided by 36 on both sides of the = sign)}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{The missing number is 3}[/tex]

Answer:

[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex]  t in R   Correct option (B)

Step-by-step explanation:

Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.

for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0

therefore (1, 2, 1, 0).(a, b, c, d) = 0

                        a + 2b+ c+ 0    = 0    -------- (i)

similarly   (1, -1, 1, 3 ).(a, b, c, d) = 0

                        a - b + c + 3d    = 0   -------- (ii)

                 (2, -1, 0, 1).(a, b, c, d) = 0

                        2a - b + 0 + d   = 0 ---------- (iii)

subtracting equation (i) from (ii)

a - b + c + 3d - a - 2b - c - 0 = 0

                               -3b + 3d = 0

                                           b = d

substituting  b = d in (iii)

                       2a + b + 0 + b = 0

                                 2a + 2b = 0

                                           a = 0

substituting a = 0 , b = d in (i)

                       0 + 2d + c + 0 = 0

                                          c   = -2d

thus for any t ∈ R, vector(0, t, -2t, t)  will make the given set orthogonal

the above vector can also be written as (0, 1, -2, 1)

therefor option B is correct

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Answer:

the answer is c

Step-by-step explanation:

Answer:

middle graph

Step-by-step explanation:

Soluton

The  second (middle ) graph is the only one that works.

Answer:

lol

79*540=lol haha

Step-by-step explanation:

then lol lala lol hahahaha hahaha ten another big lol get it lollalol

There are two ways to confirm the identity.

Method 1

[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

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

Method 2

[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

Answer:

2y - 9x

Step-by-step explanation:

2y + 3 ( x - 4x )

First, solve the brackets.

2y + 3x - 12x

Combine like terms.

2y - 9x

Answer:

[tex]\sf 2y-9x[/tex]

Step-by-step explanation:

Hi There Student! Let me help you out on this question.

________________________________________________________

In this problem, we are given an expression [tex]\longmapsto\pmb{2y+3(x-4x)}[/tex], and asked to simplify it.

                                    ↪

First, we can perform the operation inside the parentheses, x-4x:

[tex]\longmapsto\sf 2y+3(-3x)}[/tex].

Now we can multiply 3 times -3x:

[tex]\longmapsto\sf 2y-9x[/tex]

And that is our final answer, because 2y and -9x are not like terms.

Hope that this helped! Have a good day ahead.

Best Wishes!

[tex]\star\bigstar\overline{\overline{\underline{\underline{\textsf {Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

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