Find 59.2% of 250................................................

Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia. El argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

Para cada ítem, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un ítem sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Los parámetros son:

La media de la distribución binomial es:

\(E(X) = np\)

La desviación estándar de la distribución binomial es:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Una medida se considera inusualmente alta si está más de 2.5 desviaciones estándar por encima de la media.

En este problema:

La probabilidad de que realmente haya sido fruto de la coincidencia es P(X = 6), o sea:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{10,6}.(0.15)^{6}.(0.85)^{4} = 0.0012\)

Probabilidad de 0.0012 = 0.12% que realmente haya sido fruto de la coincidencia.

Para el argumento:

\(E(X) = np = 10(0.15) = 1.5\)

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.15)(0.85)} = 1.13\)

\(6 > 1.5 + 2(1.13)\), o sea, el argumento para conseguir que te devuelvan el dinero seria de que 6 ítems defectuosos es un resultado inusualmente alto.

Un problema similar es dado en https://brainly.com/question/22304471

Answer:

The function h(x) is decreasing on the interval (3, ∞).

Step-by-step explanation:

Please take a look at the attached image.

You will see a graph of the given function h(x) = -2\(\sqrt{x-3}\). The function is decreasing.

The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).

The surface area of the rectangular prism is 1476 square units

From the question, we have the following parameters that can be used in our computation:

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

Read more about surface area at

brainly.com/question/26403859

#SPJ9

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

<95141404393>

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

Learn more about Equations here :

https://brainly.com/question/22960530

#SPJ1

Answer: H=8

Step-by-step explanation:

Because if H times H equals A, and A is 56 you have to divide 7 by 56 and then you get 8 for the variable H.

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

Answer:

5

Step-by-step explanation:

plug everything in:

48+4h=68

-48      -48

4h=20

divide by 4 to isolate h

h=5

Answer:

H=5

Step-by-step explanation:

S=68, L=6, w=2, H=?

68=4x6x2+2x2xH

68=48+4H

68-48=4H (collect like terms)

20=4H (divide both side by the coefficient of H)

H=5

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ1

Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

A. \(\frac{24}{25}\)

Answer:

-$50 lol

Step-by-step explanation:

Hi :)

To find your balance after you withdraw $50, simply take your balance, and subtract $50

balance-withdraw=balance

Hope this helps,

Jeron

Answer:

311.62

Step-by-step explanation:

add a and b then subtract it by 400 there is ur answer my friend

Answer:

Plz mark me brainlest!

Step-by-step explanation:

311.62 Because I added that total and I got 551.78, and that doesn't make's sesne so I founded another answer for it and it's 331.62

Answer

331.62

Hope this helps you!

Step-by-step explanation:

Given

- 4x + 5x = 11

or 5x = 11 + 4

or 5x = 15

or x = 15 /5

Therefore x = 3.

Hope it will help :)❤

Answer:

x=3

Step-by-step explanation:

-4+5x=11

+4 on both sides

5x=15

÷5 on both sides

x=3

Hope this helps =]

Answer:

7/9

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

I took the quiz

Answer:

37.5%

Step-by-step explanation:

A=P(1+r)^t

363=192*(1+r)^2

1.375=1+r, r=0.375=37.5%

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer:

-11

Step-by-step explanation:

Simplify mixed number in the numerator into an improper fraction

Divide the numerator by the denominator

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

Learn more about trigonometric ratios:https://brainly.com/question/25122825

#SPJ1

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

Answer:

25

Step-by-step explanation:

There are only additions, so do each addition, in the order it appears, from left to right.

-11 + 3 + 10 + (-25) + 48 =

= -8 + 10 + (-25) + 48

= 2 + (-25) + 48

= -23 + 48

= 25

Answer:

7 boys

29 children dont own pets

there are 21 children all together

29/50

7/21

Answer:

24/4

Step-by-step explanation:

all you have to do is multiply 4x6=24

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

900

Step-by-step explanation:

To find 6% of 15,000:

1) Convert 6% to a decimal form (move the decimal two spaces to the left, getting 0.06

2) Multiply 15,000 by 0.06

3) Your answer should come out to 900.

I hope this helped you!

Answer: Your answer is 900

Explanation: You start by turning the 6% into decimal form, 0.06.

Then you multiply 0.06 times 15,000 to get your answer of 900.

(This is the easiest way to do this math equation.)

Answer:

The distance from home to second base is approximately 84.85 feet in a slow pitch softball diamond that is 60 feet on each side.

Step-by-step explanation:

In a softball diamond that is 60 feet on each side, the distance from home to second base is approximately 84.85 feet. This is based on the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the distance from home to second base forms the hypotenuse of a right triangle with legs that are each 60 / sqrt(2) feet long. Using the Pythagorean theorem, we can calculate that the distance from home to second base is approximately 84.85 feet.

The coefficient of \(x^{7}\) is 16796160.

For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)

General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.

The general term in the binomial expansion of (x + y)^n is

T(r+1) = nCr x^(n-r)y^r.

Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.

We can use the general term for this.

\(T_{r+1} = (nCr) a^{n-r} x^{r}\)

Since we have to find  \(x^{7}\),

\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)

This is the coefficients of \(x^{7}\)

Calculating,

10C3 = 120 (using combinations)

\(3^{7} = 2187\\4^{3} = 64\)

Therefore, multiplying the 3,

Coefficients of \(x^{7}\) = 120 * 2187 *64

= 16796160

To learn more about the binomial theorem, visit

brainly.com/question/27813780

#SPJ4