You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many

orange M&Ms, so that feels doable to count. When you count the number of orange M&Ms in the giant bag you find that there are
48. If you then take a random sample and find that out of the 50 M&Ms you select, 3 of them are orange, how many M&Ms would
you estimate are in the giant bag?

Answer:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]p = 60\%[/tex]

[tex]n = 4[/tex]

Required

The distribution of x

The above is an illustration of binomial theorem where:

[tex]P(x) = ^nC_x * p^x *(1 - p)^{n-x}[/tex]

This gives:

[tex]P(x) = ^4C_x * (60\%)^x *(1 - 60\%)^{n-x}[/tex]

Express percentage as decimal

[tex]P(x) = ^4C_x * (0.60)^x *(1 - 0.60)^{n-x}[/tex]

[tex]P(x) = ^4C_x * (0.60)^x *(0.40)^{4-x}[/tex]

When x = 0, we have:

[tex]P(x=0) = ^4C_0 * (0.60)^0 *(0.40)^{4-0}[/tex]

[tex]P(x=0) = 1 * 1 *(0.40)^4[/tex]

[tex]P(x=0) = 0.0256[/tex]

When x = 1

[tex]P(x=1) = ^4C_1 * (0.60)^1 *(0.40)^{4-1}[/tex]

[tex]P(x=1) = 4 * (0.60) *(0.40)^3[/tex]

[tex]P(x=1) = 0.1536[/tex]

When x = 2

[tex]P(x=2) = ^4C_2 * (0.60)^2 *(0.40)^{4-2}[/tex]

[tex]P(x=2) = 6 * (0.60)^2 *(0.40)^2[/tex]

[tex]P(x=2) = 0.3456[/tex]

When x = 3

[tex]P(x=3) = ^4C_3 * (0.60)^3 *(0.40)^{4-3}[/tex]

[tex]P(x=3) = 4 * (0.60)^3 *(0.40)[/tex]

[tex]P(x=3) = 0.3456[/tex]

When x = 4

[tex]P(x=4) = ^4C_4 * (0.60)^4 *(0.40)^{4-4}[/tex]

[tex]P(x=4) = 1 * (0.60)^4 *(0.40)^0[/tex]

[tex]P(x=4) = 0.1296[/tex]

So, the probability distribution is:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

Answer:

C

Step-by-step explanation:

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.

Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

To solve more questions on graphs, visit the link below-

https://brainly.com/question/17267403

#SPJ7

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

Find :-

Solution :-

We know that ,

Area of rectangle = Length × Width.

161 = (3w + 2) × w

161 = 3w² + 2w

0 = 3w² + 2w - 161

0 = 3w² + 23w - 21w - 161.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

0 = (3w + 23 ) ( w - 7)

w - 7 = 0 , 3w + 23 = 0

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

Hence, length = 23

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

Answer:

7 a⁴ b³

Step-by-step explanation:

-7 ( -a²)²( - b ³)

= -7 ( a²)² ( - b³)

= - 7 ( a²)² × b³

= (-7)( a²*² )× b³

= 7 a⁴ b³

Answer:

Solution given:

(-a²)=-a*-a=a²

-b³=-b*-b*-b=-b³

now

-7(-a²)²(-b³)=-7*a⁴*-b³=-7*-1 *a⁴b³=7a⁴b³

the product is 7a⁴b³.

so

enter"+".

all even except 4th equation

Step-by-step explanation:

an even equation is the one who proves that f(-x) = f(x)

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given polynomial ⟹ 2x²+3y+5x²+2y

Terms are the values that come after each mathematical sign, like after ➺ +, -, ×, ÷

So,

Terms ⟹ 2x² , 3y , 5x² , 2y

No. of terms ⟹ 4 (option C)

Answer:

=14237.90

Step-by-step explanation:

13000*1.023^4=14237.89832

=14237.90

Answer:

The correct option is (d).

Step-by-step explanation:

Given that,

Jeff earns $14.00 per hour.

Tom earns half as much as Jeff.

We need to find the amount earn by Tom per hour.

Tom's amount = Jeff's amount/2

So,

[tex]T=\dfrac{14}{2}\\\\T=\$7[/tex]

So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.

Answer:

y = - 35

Step-by-step explanation:

Expressing as a fraction , that is

[tex]\frac{y}{-7}[/tex] = 5 ( multiply both sides by - 7 to clear the fraction )

y = - 35

Answer:

H

Step-by-step explanation:

lets say the first big square has side s, so the area will be s²

then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9

the area of the smaller square is 1/9 smaller than the area of the big square

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

Step-by-step explanation:

Hey there!

The equation is: 2x + 3y -12=0 (i)

From the given equation;

Slope (m) = (-coeff.of X)/(coeff.of y)

m = -2/3

Now; Let the missing component be "a".

The equation also can be written in;

The equation also can be written in;(y-8) = -2/3(x-a) (using one point formula)

3y - 24 = -2x + 2a

2x +3y -2a -24 = 0………(ii)

Since both equation are made from same coordinates, equating equation (i) and (ii).

2x + 3y -12= 2x +3y -2a -24

Cancel like terms,

-2a - 24 = -12

or, -2a = 12

or, a = -6.

Therefore, the missing value is -6.

Check:

Putting the value "a" in equation (ii).

2x + 3y -2(-6) -24 = 0

or, 2x+3y -12 = 0 (which is equal to equation (i).

Hope it helps!

Answer:

The surface area is 116.

Step-by-step explanation:

Answer:

m=1

Step-by-step explanation:

y= x + 14

This equation is in slope intercept form

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

The slope for the line is 1

Parallel lines have the same slope

m=1

Answer:

27%

Step-by-step explanation:

Answer:

p(j)=27% is correct answer

Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Answer:

6 yds

Step-by-step explanation:

If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:

84 = x(2x + 2)

84 = 2x^2 + 2x

Since all terms are divisible by two, we can divide both sides by it:

42 = x^2 + x

We can write the quadratic equation in standard form:

x^2 + x - 42 = 0

Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:

(x + 7)(x - 6) = 0

Using the zero-product property, we can obtain two equations and solve them:

x + 7 = 0

x  = -7

x - 6 = 0

x = 6

Since the side of a rectangle can't be negative, the answer must be 6 yds.

Answer:

what are the answer choice?

Step-by-step explanation:

Answer:

B - Congruent : SAS

Step-by-step explanation:

We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.

Answer:

AC =

Step-by-step explanation:

AC = 16/2

= 8

THAT IS THE SOLUTION ABOVE

Answer:3136

Step-by-s

tep explanation:

Answer:

4506

Step-by-step explanation:

you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer

Answer:

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

Step-by-step explanation:

Firstly, we have to plot all the giving inequalities as constraints

Not to forget, f(x) can be written as y

Kindly find the plot as an attachment

Upon plotting, we have the following vertices;

(0,3) ; (2,3) ; (0,0) ; (3.5,0)

Respuesta:

13 °

Explicación paso a paso:

La temperatura de esta noche = - 12

La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche

La temperatura prevista para mañana será;

La temperatura de esta noche + 25 °

Temperatura prevista para mañana = (-12 ° + 25 °)

Temperatura prevista para mañana = 13 °

Answer:

The inequality is 2 ≤ x < 8.

A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.

The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.

The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.

The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

Hello,

A=(1,2) ==> A'=(1,2)+(1,1)=(2,3)

B=(6,2) ==> B'=(6,2)+(1,1)=(7,3)

C=(4,4) ==> C'=(4,4)+(1,1)=(5,5)

D=(1,4) ==> D'=(1,4)+(1,1)=(2,5)