please help me !! :)

Answer:

please mark me brainlist

Step-by-step explanation:

a) Let X be the random variable the number of customers asking for water.

X ~B(10,0.6)

= P(X = 6) =( 0.6)6 ( 0.4)4 10!/6 !*4!

= 0.2508

Y ~B(10,0.4)

= P(Y = 4)=( 0.6)6 ( 0.4)4 10!/6 !*4!

= 0.2508

The probability that exactly 6 ask for water with their meal is calculated by binomial distribution and the value is P ( x = 6 ) = 25.08 %

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability that exactly 6 ask for water with their meal be P ( x = 6 )

Now , an average of 3 out of every 5 customers ask for water with their meal

So , the probability of getting a success p = 3/5 = 0.6

The probability of getting a failure q = 1 - p = 0.4

The number of trials = 10

The number of successes x = 6

So ,

Probability that exactly 6 ask for water with their meal be P ( x = 6 ) is

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

Substituting the values in the equation , we get

P ( x = 6 ) = [ 10! / ( 4 )! 6! ] ( 0.6 )⁶( 0.4 )⁴

On simplifying the equation , we get

P ( x = 6 ) = 0.2508

P ( x = 6 ) = 25.08 %

Therefore, the value of  P ( x = 6 ) is 25.08 %

Hence , probability that exactly 6 asks for water is 25.08 %

To learn more about binomial distribution click :

https://brainly.com/question/29350029

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Answer:

Step-by-step explanation:

The accepted values are  2 3 4 5 6   One is not counted. It says between.            

The total number of ways each dice can be thrown is  2 3 4 5 6 7 8 9 Ten is not counted. Same reason.

5/8 * 5/8 = 25/64 = 0.39

Answer:

4x^3-9x^2+5x+6

Step-by-step explanation:

6 + 5x+4x^3-9x^2

Write the powers of x from highest to lowest

4x^3-9x^2+5x+6

Formulas are already included that will calculate the totals for you.

Answer:

c

Step-by-step explanation:

62.5 = 10(b)^2

62.5÷10 = b^2

6.25 = b^2

square root 6.25 and b^2

the answer is 2.5

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]

Answer:

A

Step-by-step explanation:

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

[tex]Area = Length \times Width[/tex]

Rectangle (a)

[tex]Area = 4x \times 4[/tex]

[tex]Area = 16x[/tex]

Rectangle (b)

[tex]Area = 11 \times x[/tex]

[tex]Area = 11x[/tex]

Rectangle (c)

[tex]Area = 2 \times 8x[/tex]

[tex]Area = 16x[/tex]

Rectangle (d)

[tex]Area = 16x \times 1[/tex]

[tex]Area = 16x[/tex]

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

https://brainly.com/question/14383947

Answer:

Property : a^-b = 1/a^b

Using this property, we can rewrite the expression using positive exponents :

[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]

Answer:

no

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

Answer:

y= 0.35

Step-by-step explanation:

y 1/4

when x=5,

find y=? when x=7.

given that y varies directly with x.

y = kx

Where k is the constant of proportionality

k= y/x

k= (1/4)÷ 5

k= 0.05

y= kx

y= (0.05)(7)

y= 0.35

I Hope this will helpful...

Answer:

Below.

Step-by-step explanation:

If the length is x then the width is x-9 inches.

Perimeter

= 2L + 2W = 86

2x + 2(x - 9) = 86

4x - 18 = 86

4x = 104

x = 26

So the length is 26 inches and the width is 17 inches.

Answer:

$17.5

Step-by-step explanation:

original price of shirt=$25

discount on shirt=30%

discount on shirt in $=$25*30%

discount on shirt=$7.5

cost of shirt after discount=origanl price-discount

=$25-$7.5

=$17.5

Answer:

729000 year it's price will Rs 729000

Answer:

x=0

Step-by-step explanation:

2x-3x=9-3-6

-x=0

x=0

Answer:

x = 0

Step-by-step explanation:

Given

2x + 6 = 3x + 9 - 3 , that is

2x + 6 = 3x + 6 ( subtract 2x from both sides )

6 = x + 6 ( subtract 6 from both sides )

0 = x

Answer:

Step-by-step explanation:

Well believe it or not, that is not a simple question. Just look at what you left us to define. Your talking (for example) about a square and wondering what the vertex of B is called (other than a vertex.)

I think vertex is the only thing you can call B. But then there's a problem. What do you call the points on a segment? ___________? There are endpoints, but what's between those endpoints? I think you would just give them letter names and call them points. A point is dimensionless and there an infinite number of them in a segment.

Phew!!!

Answer:

165.7 or 166

Step-by-step explanation:

since the adjacent has already been given which is 113 you have to use the cos ratio to find the hypotenuse

cos47=adjacent/hypotenuse

cos47=113/h

cos47h/cos47=113/cos47

hypotenuse=166

I hope this helps

Answer:

Hypotenuse is 165.689

Step-by-step explanation:

For this question you will be using cosine.

You start solving this problem as C (cosine) = A/H (adjacent over hypotenuse).

COS(47) / 1 = 113/H

Meaning cosine of 47 over 1 is equal to 113 over H (hypotenuse).

Next you cross multiply leaving you with 113/ COS47 = COS47 x H

Next you divide both sides by COS47 x y

and divide 113 by COS47 and get your answer.

Answer:

3 1/100

Step-by-step explanation:

This is the answer because a mixed number is a fraction in it's simplest form.

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 6y = - 12 → (1)

x + 2y = 14 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate x

- 2x - 4y = - 28 → (3)

Add (1) and (3) term by term to eliminate x

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

2x - 6(4) = - 12

2x - 24 = - 12 ( add 24 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

solution is (6, 4 )

Answer:

Sides = 3.2

Diagonals = 4.5

Shape = Square

Step-by-step explanation:

a) i) Distance from P to Q= 3.162278 which is approx 3.2.

So to calculate your answer you use the distance formula. The formula is the square root of (x2 - x1) + (y2 - y1).

So all sides of the shape have a length of 3.2 because the shape is a square.

DIAGONALS:

QS = 4.472136 approx 4.5

For:

(X1, Y1) = (-3, -2)

(X2, Y2) = (-1, 2)

We use the same formula for distance.

B) The shape is a square

I REALLY HOPE THIS HELPED

Answer:

Hello,

Answer 163

Step-by-step explanation:

1,7,16,28,43,..., 10th term=?

[tex]u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\[/tex]

Answer:

[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]

Answer:

yes they are equal because if u break them down to the smallest fraction .. explained what number will go in to 8 and 10 (two) so 10÷2 is 5 same with 8 .8÷2 is 4 4/5

Answer:

Step-by-step explanation:

Answer:

A

E

Step-by-step explanation:

a rational number can be expressed as fraction. well, that is what the number 8/9 is.

so, A is a correct option.

as such it is automatically also a member of the real numbers (which is a superset of rational numbers). so, E is a correct option.

all other options are wrong.

8/9 is not a natural number (1, 2, 3, 4, ...).

it is not a whole number (0, 1, 2, 3, 4, ...).

it is not an integer (... , -2, -1, 0, 1, 2, 3, ...).

and as it is a rational number, it is automatically not an irrational number.

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

To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.

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

Expression 1:

The expression is:

[tex]2a^3 + 4a^2 + 8a[/tex]

First, we find the gcf of the numbers 2, 4 and 8, which is 2.

Of the exponents, the gcf between 3, 2 and 1 is 1, so:

[tex]2a^3 + 4a^2 + 8a = 2a(\frac{2a^3}{2a} + \frac{4a^2}{2a} + \frac{8a}{2a}) = 2a(a^2 + 2a + 4)[/tex]

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

Expression 2:

The expression is:

[tex]6y^4 - 294y^2[/tex]

The gcf of 6 and 294 is 6.

The gcf of the exponents 2 and 4 is 4.

Thus:

[tex]6y^4 - 294y^2 = 6y^2(\frac{6y^4}{6y^2} - \frac{294y^2}{6y^2}) = 6y^2(y^2 - 49)[/tex]

Then, applying the difference of squares:

[tex]y^2 - 49 = (y - 7)(y + 7)[/tex]

Thus, the factored expression is:

[tex]6y^2(y^2 - 49) = 6y^2(y - 7)(y + 7)[/tex]

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

Expression 3:

The expression is:

[tex]5x^2 + 50x + 125[/tex]

The gcf of the coefficients, 5, 50 and 125 is 5, so:

[tex]5(\frac{5x^2}{5} + \frac{50x}{5} + \frac{125}{5}) = 5(x^2 + 10x + 25)[/tex]

Applying the perfect square, we get that:

[tex]x^2 + 10x + 25 = (x + 5)^2[/tex]

Tus, the factored expression is:

[tex]5(x^2 + 10x + 25) = 5(x+5)^2[/tex]

A similar question is given at https://brainly.com/question/11930822

Answer:

y = 23, -31

Step-by-step explanation

ttyl