El 1% de las videocámaras vendidas por la Phil´s Photo Shop, tiene un defecto en su estuche. Se seleccionan al azar cuatro estuches de lo vendido recientemente. Encuentre la probabilidad de que exactamente uno esté defectuoso

Answer:

a) El valor de la proporción de la población = 0.3

b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

Step-by-step explanation:

a) Halla el valor de la proporción de la población.

El valor de la proporción se calcula mediante la fórmula

p = x / n

donde x = 420

n = número de muestras = 1400

Proporción (p) = 420/1400

= 60/200 = 30/100 = 3/10

= 0.3

b) Construya el intervalo de confianza del 99% para la proporción de población.

La fórmula para el intervalo de confianza para la proporción de población =

p ± z × √p (1 - p) / n

p = 0.3

z = puntuación z para un intervalo de confianza del 99% = 2.576

n = 1400

Por lo tanto:

Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400

= 0.3 ± 2.576 × √0.3× 0.7 / 1400

= 0.3 ± 2.576 × 0.0122474487

= 0.3 ± 0.0315494279

Intervalo de confianza del 99% =

0.3 - 0.0315494279

= 0.2684505721

Aproximadamente ≈ 0.2685

0.3 + 0.0315494279

= 0.3315494279

Aproximadamente ≈ 0.3315

Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

Answer:

The coefficient of 7x is 7

Answer:

The answer is B

Step-by-step explanation:

✌

Answer:

B

Step-by-step explanation:

You can substitute the variables for the values!

7x = 21

3y = -6

2x = 6

y = -2

21 - (-6)

----------

6 + (-2)

27

----

4

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Answer:

option 1

Step-by-step explanation:

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (-x+2a,y)[/tex]

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

[tex](x,y)\to (-x+2(2),y)[/tex]

[tex](x,y)\to (-x+4,y)[/tex]

Using this rule, we get

[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]

[tex]A(-3,4)\to A'(3+4,4)[/tex]

[tex]A(-3,4)\to A'(7,4)[/tex]

Similarly,

[tex]B(-1,4)\to B'(5,4)[/tex]

[tex]C(-1,-1)\to C'(5,-1)[/tex]

[tex]D(-3,-1)\to D'(7,-1)[/tex]

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

Answer: x = 5

Step-by-step explanation:

Based on the information, the number is x= 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Consider that the number be x.

Given that;

Tripling the number we get = 3x.

On subtraction from 28, the equation will be: 28 - 3x.

Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.

Now equating these two equations as;

28 - 3x = 2x + 3

Rewriting the equation as;

3x + 2x = 28 - 3

Now, addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side, we get;

x = 5

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Answer:

-11n

Step-by-step explanation:

You have to combine like terms

BRAINLIEST PLEASEE

Answer:

the answer is discrete

this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend

Step-by-step explanation:

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

Answer:

244.92mm

Step-by-step explanation:

if we say circumference=2*pi*r then we have circumference=2*3.14*39=244.92

so to find the circumferene the formula is pi r 2

a= 3.14 x 39 x 2

a= 244.92 (my teacher tells us to round it to the decimal place of the question, if your teacher says that too here's the answer 245mm)

sorry i took long i selpt while doin this

Answer:

The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Step-by-step explanation:

Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.

To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?

Solution:

Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.

Now, we know that area of a rectangle  [tex]= \text{length}\times\text{width}[/tex].

As per question,

[tex]x(x+24)=3456[/tex]

[tex]\implies x^{2} +24x=3456[/tex]

[tex]\implies x^2+24x-3456=0[/tex]

So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].

[tex]x^2 +24x-3456=0[/tex]

[tex]\implies x^2 -48x+72x-3456=0[/tex]

[tex]\implies x(x-48)+72(x-48)=0[/tex]

[tex]\implies (x-48)(x+72)=0[/tex]

[tex]\implies x-48=0[/tex]  or [tex]x+72=0[/tex]

[tex]\implies x=48[/tex] or [tex]-72[/tex]

Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.

Hence,  the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

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Answer:

6.5

Step-by-step explanation:

calculator

Answer:

7 is the smallest integer value

plz brainliestt

Step-by-step explanation:

4x>_ 26

x>_6.5

Answer:

Tangent Inverse Function

Step-by-step explanation:

Answer:

Side c:

Finding the angles:

No it is not equivalent

Answer: yes

Step-by-step explanation:

Answer:

16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

we need to determine if the ratios form the proportions.

16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]

If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]

So, finding cross product and checking:

[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) [tex]\frac{34}{9},\frac{25}{7}[/tex]

If the ratios are proportional, their cross product will be equal. i.e.

[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]

So, finding cross product and checking:

[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Answer:

15

Step-by-step explanation:

So point j is the midpoint of both of the diagonals in the parallelogram.

That means that JE=GJ

So the answer is 15

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150

Answer:

no sé eres tú

Step-by-step explanation:

Answer:

I don't know the answer but you can type it in on demos

Answer:

The value of x = 0

Step-by-step explanation:

Got a 5/5 on Plato