15/2 + 13/8+ 14/4+ 2/1+52/8+36/4=

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!

Answer:

Answer: The volume of the pipe is 412 cubic feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π x radius² x height (Length in this case)

Replacing with the values given:

V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet  (rounded)

In conclusion, the volume of the pipe is 412 cubic feet

Feel free to ask for more if needed or if you did not understand something.

Answer:

V = 392.5 cubic feet

Step-by-step explanation:

[tex]v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi[/tex]

[tex]\pi =3.14[/tex]

[tex]v=392.5cu.ft[/tex]

Hope this helps

angle PSQ = 65 (central angle is 130, which means arc PQ is 130, and half of the arc is the inscribed angle)

angle AQS = 35 (congruent to angle SPR)

arc QR = 50 (180-130)

arc RS = 70 (35*2=70)

arc PS = 110 (35*2, making arc SR 70, subtract all arcs from 360 to get 110.

If this helped you, I would appreciate it if you gave me brainliest :D

Answer:

Step-by-step explanation:

The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.

  g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48

The g-intercept is (0, 48).

__

The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:

  n -6 = 0   ⇒   n = 6

  n +4 = 0   ⇒   n = -4

  n -2 = 0   ⇒   n = 2

The n-intercepts are (6, 0), (-4, 0), and (2, 0).

Answer:

g intercepts: 48

n intercepts: 6, -4, 2

Step-by-step explanation:
Part 1:

To find the g intercepts, set n to 0 everywhere.

You then get:

g(0) = (-6)*(4)*(-2)

g(0) = 48

Part 2:

To find the n intercepts, set g to 0.

You then get:

(n-6) * (n+4) * (n-2) = 0

Solve for n in each part seperately to find all intercepts:

n-6 = 0  ->  n = 6

n+4 = 0  ->  n = -4

n-2 = 0 -> n = 2

Answer: D

Step-by-step explanation:

Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.

Answer:

The money

Step-by-step explanation:

The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.

A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.

hope this helps :)

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

Answer:

y=45°

x=75°

z=60°

Step-by-step explanation:

hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.

Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

Answer:

10 and 11

[tex]10 \times 11 = 110[/tex]

[tex]10 + 11 = 21[/tex]

Answer:

3/4

Step-by-step explanation:

There are 13 clubs in a standard 52-card deck

That means that 39 cards out of the 52 are not a club ( because 52-13=39)

So the probability of you not being dealt a club is 39/52 or 3/4

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years\dotfill &20 \end{cases} \\\\\\ I = (5000)(0.0725)(20)\implies I=7250[/tex]

Answer:

[tex]14 \sqrt{3} [/tex]

Step-by-step explanation:

Here you use the 30-60-90 triangle

Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.

Here, x is the opposite of 60 degree angle.

7 times root of 4 is opposite of the 30 degree angle,

So we have

So this means

[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]

Note that

[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]

So we have

[tex]14 \sqrt{3} = x[/tex]

Answer:

$46,800,000

Step-by-step explanation:

1. Find the total number of shares that Live Fund has.  They have 24% of the total shares, which is 78,000.  To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24.  This gives us 18720 shares.

2. Since they are selling half of their shares, divide their total number of shares by 2.  This gives us 9360.

3. Each share is worth $5000, so multiply 9360 by 5000.  This gives us a final answer of $46,800,000.

Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.

Answer:

2

Step-by-step explanation:

so if you take away 14 by 2 =12 and 12 divided by 6= 2

Answer:

each candy bar cost 2 dollars

Step-by-step explanation:

The apportion of Bronx quota is the alloted profit to Bronx

The apportion for Bronx quota is 20

The dataset is given as:

From the dataset, we have:

Bronx: 20.73

Remove the numbers after the decimal point

Bronx =  20

Hence, the apportion for Bronx quota is 20

Read more about quota at:

https://brainly.com/question/1499498

Answer:

B 6c.

Step-by-step explanation:

The mean will be c multiplied by 6.

Answer:

3.5in

Step-by-step explanation:

so what i would do is i would divide 218.75 by 62.5

218.75/62.5= 3.5

3.5 in= 218.75 mi

hope that hepls :)

Did the math for you.

[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]

Answer: (2,2)

Step-by-step explanation:

Answer:

2733.73

Step-by-step explanation:

[tex]r = \frac{kl}{ {d}^{2} } [/tex]

[tex]17113 = \frac{300k}{ {0.09}^{2} } [/tex]

[tex]k = 0.462[/tex]

[tex]r = \frac{0.462 \times 900}{ {0.39}^{2} } [/tex]

[tex]r = 2733.73[/tex]

[tex]\qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with }\underline{z^5} \end{array} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}x}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{array}{llll} \textit{\tiny "R" varies directly}\\ \textit{\tiny with "L" and inversely}\\ \textit{\tiny as the square of "d"} \end{array}~~R=\cfrac{kL}{d^2}\qquad \qquad \textit{we also know that} \begin{cases} L=300\\ d=0.09\\ R=17113 \end{cases} \\\\\\ 17113=\cfrac{k(300)}{0.09^2}\implies 17113(0.09^2)=300k \\\\\\ \cfrac{17113(0.09^2)}{300}=k\implies 0.462051 = k~\hfill \boxed{R=\cfrac{0.462051L}{d^2}}[/tex]

[tex]\textit{when L = 900 ft and d = 0.39 in, what is "R"?} \\\\\\ R=\cfrac{0.462051(900)}{0.39^2}\implies R\approx 2734.03[/tex]

Answer:

1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.

Step-by-step explanation:

Simply check each number of books over the total than see if it matches the percentage assumed.

Fantasy over total books = 15/90 which is 1/6 So that is correct

Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.

Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.

And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.

Hope this helps, and please mark me brainliest!

Answer:

<1=104

<2=76

<3=76

<4=104

<5=104

<6=76

<7=76

<8=104

Step-by-step explanation:

So, the angles are all vertical to the one across it.

That makes <2 to be 76.

76(2)+2(<1)=360,

2(<1)=208

<1=104

You also know that the two lines are parallel, making the ones above/below it equal.

That makes <7 AND <6 to be 76 as well.

Answer:

21

Step-by-step explanation:

Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.

Answer:

A) {DA???} 0.04x1000=40. Yes

B) 0.4x10 is 4, NOT 0.04. No

C)0.4x1 is 0.4, NOT 0.04. No

D) No

E) Yes

F) No

G) Yes

H) No

Answer: 0.18

Step-by-step explanation:

Using the sin rule:

11/sin(∠G) = 61/90

sin(∠G) = 11/61

sin(∠G) = 0.18°

Therefore, the value of angle G is 0.18 degrees

Answer:

D. 19.25^2

Step-by-step explanation:

A = 5.5

H = 3.5

A = 19.25^2

Answer:

The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.