If you are given n=504n=504 and p=0.27p=0.27 for a binomial experiment, use the normal distribution to approximate P(x≤119)P(x≤119). Use continuity correction.

Answers

Answer 1

Answer:

[tex]X ≤ P(119)  \rightarrow    P(X < 119.5)[/tex]

Step-by-step explanation:

Given:

n = 504

p = 0.27

To Approximate:

P(x≤119) usimg normal distribution

Solution:

We know that,

[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]

let's find the mean,

[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]

let's calculate standard deviation,

[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]

Rewriting the equation using continuity correction,

[tex]    P(X ≤ n)  \rightarrow    P(X < n + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119 + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]

Some more things you must need to know,

standard score is an important part of statistics,

can be derived using formula

[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]

Thanks for joining brainly community!


Related Questions

Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?

Answers

Answer:

12ft trim

Step-by-step explanation:

assuming that she wants to use the same size on each side (3ft) of the window, we know that the window is a square

and a square has 4 sides

3 + 3 + 3 + 3 = 12ft

She needs 12 ft trim

A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball

Answers

The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

r --> length of radius --> 2ft

 

   Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]

The volume is 33.51 cubic feet

Hope that helps!

What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3

Answers

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

BRAINLIEST please if this helped!

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%

Step-by-step explanation:

25%. One quarter of 100% is 25%, if you divide 100% by four that is what you will get.

Find the value of (9/16) ^ - 1/2

Answers

Answer:

4/3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]

Convert to the form above:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]

Therefore, the solution is 4/3

Help plssssssssssssssssssss I NEED THIS TODAY!! PLS

Answers

Answer:

The first 1 is the answer (a)

Step-by-step explanation:

A is correct have a good day

For which inequality is x = 5 a solution

Answers

Answer:

4<x<6

Step-by-step explanation:

4 is smaller than x

and x is samller than 6

so its 5

HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!
Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom?

Answers

Answer: $756

Step-by-step explanation:

convert feet to yards

1 yard = 3 feet

27 ft = 9 yards

18 ft = 6 yards

carpet represents area

area = length x width

area = 9 x 6

area = 54 yards^2

$14 for 54 yards^2 = 14 x 54

14 x 54 = 756

$756

Evaluate
A)9
B)-9
c) 729
d) -729

Answers

The correct option is c) 729

Explanation :-

[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex]

[tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]

Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.

[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex]

[tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex]

[tex] = \frac{729}{1} [/tex]

[tex] = \underline { \boxed{ 729}}[/tex]

6. If 2 cards are drawn from a standard deck with replacement, find the probability of drawing a face card and an even number.​

Answers

Answer:

15/169

Step-by-step explanation:

There are 52 cards in a standard deck.  Of those 52 cards, 12 are face cards and 20 are even numbered.  To find the probabily in this situation, we multiply 12/52 by 20/52.  This gives us 240/2704.  This can be reduced to 15/169.

! PLS HELP ! In a raffle, one thousand tickets are sold. There
is a grand prize of $4000, a second prize of
$500, and a third prize of $100. What ticket
price would make this game fair?

Answers

Answer:

$4.60

Step-by-step explanation:

A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?

Answers

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written??

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

There is not crest given so use distance between troughs

Period (T):-

Distance between two troughs|3-(-3)|6

Frequency:-

[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]

IM CONFUSED CAN SOMEBODY HELP ME SOLVE THE EQUATION

Answers

Answer:

y = - ½(x - 2)² + 3

Step-by-step explanation:

I NEED HELP ASAP
Solve.

4x + 2(3x – 9) = x
A.
x = –2
B.
x = 1.8
C.
x = 2
D.
x = 18

Answers

Answer:

x=2

Step-by-step explanation:

[tex]4x+2(3x-9)=x\\\\\implies 4x +6x - 18 -x =0\\\\\implies 9x = 18\\\\\implies x = \dfrac{18}9 = 2[/tex]

which term describes the point where the three medians of a triangle intersect?

Answers

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

What is the surface area of this prism?

Answers

Answer:

Step-by-step explanation:

front side: 6x3 = 18

back : 6x3 = 18

right:6x2 = 12

left:6x2 = 12

top: 3x2 =6

bottom: 3x2 =6

18 + 18 + 12 + 12 + 6 + 6

= 72


PLEASE HELP ASAP


Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?​

Answers

Answer:

$15.20

Step-by-step explanation:

Had the same question last year and found the answer in some flashcards. You can browse the question too.

100 points! asap! Which graph best represents the solution to the system of equations shown below?

y = -2x + 14
y = 2x + 2

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answers

Answer:

A)  A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)

Step-by-step explanation:

Given equations:

[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]

[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]

Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:

[tex]\implies 2x+2=-2x+14[/tex]

[tex]\implies 4x=12[/tex]

[tex]\implies x=3[/tex]

Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:

[tex]\implies y=2(3)+2=8[/tex]

Therefore, the solution to the system is (3, 8).  

This is the point of intersection of the two lines.

Identify the type of polynomial
3x2 + 2x +1

Answers

The answer to the question is Quadratic Trinomial

Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 ​ =3(cos 15 14π ​ +isin 15 14π ​ ) and z_2=3\sqrt{3}\big(\cos \frac{11\pi}{15} +i\sin \frac{11\pi}{15}\big)z 2 ​ =3 3 ​ (cos 15 11π ​ +isin 15 11π ​ ), express the result of z_1z_2z 1 ​ z 2 ​ in rectangular form with fully simplified fractions and radicals.

Answers

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5.

How to determine the product of two complex numbers

Let be two numbers of the form z = a + i · b, where i = √-1, the product of two of these numbers in rectangular form is described by the following formula:

z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c)   (1)

If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:

z₁ · z₂ = 7.794 - i · 13.5

The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5. [tex]\blacksquare[/tex]

Remark

The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:

Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853

help pplease i need help

Answers

Answer:

15/2 min/m

Step-by-step explanation:

Minuters per meter = min/m

4.5 min/(3/5) m

4.5 x 5/3 = 7.5

7.5 = 15/2

Hope this helps!

Please help me solve these problems​

Answers

From the dots the parabola’s are the same size just transitioned to different locations.


blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2

Please help with this guys please I’d appreciate it

Answers

Answer:

annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52

Step-by-step explanation:

The amount of an investment P compounded n times per year at annual rate r for t years is ...

  A = P(1 +r/n)^(nt)

This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.

__

Continuously compounded interest results in an account balance computed using the formula ...

  A = Pe^(rt) . . . . where the variables have the same definitions as above.

For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...

  A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars

Help me please !!!!!!

Answers

Answer; hi sisters daddy chill

Step-by-step explanation:

A plant nursery receives shipments of soil in containers as shown below
( a picture of a cube that has 3 numbers - The heigh = 1 1/4 the base =2 . The width= 1 1/2
Part a- what is the volume of the soil in each container in cubic yards
(I put my answer as 3 3/4 which is right I think )
Part b - if a cubic yard of soil weighs 2000 pounds of soil does each container hold?
***I need help with part b pls

Answers

The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the three dimensional shape is:

Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³

1 yd³ = 2000 pounds

3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds

The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil

Find out more on volume at: https://brainly.com/question/12410983

Circumference of the circle

Answers

Answer:

37 5/7

Step-by-step explanation:

use formular it will be 2pie -22/7 ×radius

since we have been given only radius it will be

2×22/7×6=37 5/7

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex] \qquad \tt  \dashrightarrow \: 2\pi{r}^{} [/tex]

where, r = radius

Now, let's calculate it ~

[tex] \qquad \tt  \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 12\pi\: \: m[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex] \qquad \tt  \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 37.68\: \: m[/tex]

[tex] \qquad \tt  \dashrightarrow \: c \approx 37.7\: \: m[/tex]

¿Qué significa un punto en el diagrama de líneas?​

Answers

un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)

Hellp me please DDDDDDDDDDD:

Answers

Answer:

238 mm

Step-by-step explanation:

11x5 = 55

11x4=44

11x5=55

11x4=44

4x5=20

4x5=20

______(Add all up)

= 238 mm

Hope this helps :)

If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]

Answers

Answer:

The probability is 1/9

Step-by-step explanation:

1 - 8/9 = 1/9

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