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Answer:

0.9986 = 99.86% probability that you win less than 40

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

The probability of winning a slot machine is 5% and you are going to play 500 pulls.

This means that [tex]p = 0.05, n = 500[/tex]

Mean and Standard deviation:

[tex]\mu = E(X) = np = 500*0.05 = 25[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734[/tex]

What’s the probability that you win less than 40?

Using continuity correction, this is P(X < 40 - 0.5) = P(X < 39.5), which is the pvalue of Z when X = 39.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.5 - 25}{4.8734}[/tex]

[tex]Z = 2.98[/tex]

[tex]Z = 2.98[/tex] has a pvalue of 0.9986

0.9986 = 99.86% probability that you win less than 40

Answer:

1)From ΔACB

tan 36= x/7

x= 7.tan 36

x= 5.086

2) Sin63=Opp/Hyp= 12/x

=>x=12/Sin63°

x= 13.47

3) Sin=x/MP

Sin 15°=x/12x=125 in 15°

x=3.11

hope it helps...

have a great day!!

Answer:

x=21

Step-by-step explanation:

x=(16.8 * 2.5) /2=21

Answer:

Step-by-step explanation: You take the formula by doing 4×3.14× that number in the sphere, 2 times like for example, take 3 and multiple it 3×3, you take that answer and times it with that answer ^^^ 4×3.14×3 to the second power

Answer:

68

Step-by-step explanation:

2.5×4×2=20

2×4×2=16

4×4×2=32

20+16+32=68

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

672 ÷ 12 = 56

Answer:

he will need to work 8 40-hour weeks.

Explanation:

since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.

we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.

now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.

he will need to work 8 40-hour weeks before he can afford the saxophone.

i hope this helps! :D

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer:

answer is b

Step-by-step explanation:

answer is b

Answer:

185ft squared

Step-by-step explanation:

since this is a composite solid, all we have to do is use the 2 formulas:

b x h / 2  (Triangles on the pyramid)

l x w (Rectangular faces)

to solve the surface area of the composite figure.

Answer:

D. 19

Step-by-step explanation: I got it correct, if you need more of an explanation go ahead and contact me by commenting below. (If you have any complaints, go ahead and tell me). Thank you & have a great day! :)

Answer:

32.6

Step-by-step explanation:

S=3.4(9.6)

S=32.64≈32.6

Answer:

the answer is b

Step-by-step explanation:

top right corner

Answer:

the answer is b

Step-by-step explanation:

Answer:

[tex]ab + c = d \\ ab = d - c \\ a = \frac{(d - c)}{b} [/tex]

Answer:

A=d-c/b

Step-by-step explanation:

just took the test

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\[/tex]

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

[tex]= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y[/tex]

Answer:

3 • (4y + 15)

-----------------  

      40  

Step-by-step explanation:

Long explanation get ready

STEP

1

:

           7

Simplify   —

           8

Equation at the end of step

1

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

2

:

           3

Simplify   —

           5

Equation at the end of step

2

:

   1   9      3     7

 ((—+(——•y))-(—•y))+—

   4  10      5     8

STEP

3

:

            9

Simplify   ——

           10

Equation at the end of step

3

:

   1      9          3y     7

 ((— +  (—— • y)) -  ——) +  —

   4     10          5      8

STEP

4

:

           1

Simplify   —

           4

Equation at the end of step

4

:

   1    9y     3y     7

 ((— +  ——) -  ——) +  —

   4    10     5      8

STEP

5

:

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 0 1 1

Product of all

Prime Factors  4 10 20

     Least Common Multiple:

     20

Calculating Multipliers :

5.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.       5

  ——————————————————  =   ——

        L.C.M             20

  R. Mult. • R. Num.      9y • 2

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

5.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + 9y • 2     18y + 5

——————————  =  ———————

    20           20  

Equation at the end of step

5

:

  (18y + 5)    3y     7

 (————————— -  ——) +  —

     20        5      8

STEP

6

:

Calculating the Least Common Multiple :

6.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 1 1 1

Product of all

Prime Factors  20 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

6.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

6.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (18y+5)

  ——————————————————  =   ———————

        L.C.M               20  

  R. Mult. • R. Num.      3y • 4

  ——————————————————  =   ——————

        L.C.M               20  

Adding fractions that have a common denominator :

6.4       Adding up the two equivalent fractions

(18y+5) - (3y • 4)     6y + 5

——————————————————  =  ——————

        20               20  

Equation at the end of step

6

:

 (6y + 5)    7

 ———————— +  —

    20       8

STEP

7

:

Calculating the Least Common Multiple :

7.1    Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       8

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 3 3

5 1 0 1

Product of all

Prime Factors  20 8 40

     Least Common Multiple:

     40

Calculating Multipliers :

7.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

7.3      Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      (6y+5) • 2

  ——————————————————  =   ——————————

        L.C.M                 40    

  R. Mult. • R. Num.      7 • 5

  ——————————————————  =   —————

        L.C.M              40  

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

(6y+5) • 2 + 7 • 5     12y + 45

——————————————————  =  ————————

        40                40  

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  12y + 45  =   3 • (4y + 15)

Answer:

C.........................

Answer:

c.The point of a pencil if u go and check all of the other stuff are right triengle the point of a pencil is  like an acute trienagle

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

5+3=8 and 5-3=2 which is 8/2=4

Answer:

Ivy initially put $ 650 in the account.

Step-by-step explanation:

Given that Ivy deposited some money into a savings account that earns 1% annual simple interest, and at the end of 5 years, she earned $ 32.50 in interest, to determine how much money did she put into the account initially, the following calculation must be performed:

32.50 / 5 = 6.5

1 = 6.5

100 = X

100 x 6.5 = X

650 = X

Therefore, Ivy initially put $ 650 in the account.

Answer:

[tex]{a}^{3} + {b}^{3} [/tex]

[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Hence, simplified

Answer:

6/5

Step-by-step explanation:

√36/25 =6/5

because root 36 is 6 and root 25 is 5.

Answer:

A is not true

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

mean=(∑x/N)=(1100+5000+2000+10100+8000/6)

=(34200/6)=$5700

________________-

median: =>

$1100,$2000,$5000,$8000,$8000,$10100

==>(5000+8000/2)=$6500

_______________

Range=maximum-minimum=10100-1100

==>$9000

so your answer is Option D

hope it helps...

have a great day!!

Answer:

Step-by-step explanation: 107.49/36 would give you 2.985833...

the question says to the nearest cent, so the answer would be $2.98

Answer:

A

Step-by-step explanation:

11miles/2hours

11 divide by 2 = 5.5 miles/1 hour

5.5 miles per hour

Answer:

5.5 miles per hour

Step-by-step explanation:

Answer:

Area of trapezoid = 262.5 inches²

Step-by-step explanation:

Given:

Larger Base = [tex]36\frac{1}{2}[/tex] inches = 36.5 inches

Smaller Base = [tex]13\frac{1}{2}[/tex] inches = 13.5 inches

Height of trapezoid =  [tex]10\frac{1}{2}[/tex] inches = 10.5 inches

Find:

Area of trapezoid

Computation:

Area of trapezoid = [Sum of parallel line / 2]Height

Area of trapezoid = [(a+b) / 2]h

Area of trapezoid = [(36.5 + 13.5) / 2]10.5

Area of trapezoid = [(50) / 2]10.5

Area of trapezoid = [25]10.5

Area of trapezoid = 262.5 inches²

Answer:

y = x -6

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

   = (0- -6)/(6-0)

   =( 0+6)/(6-0)

   = 6/6

   = 1

The slope is 1 and the y intercept is -6

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = x -6

Answer:

the answer is C

Step-by-step explanation:

y = x -6