Calculate the area of the square!

The probability that of getting more than two heads is 0.9537.

The probability of precisely x successes per n repeated trials is known as a binomial probability, and X has only two possible outcomes.

P(X = x) = Cn,ₓ.pˣ(1 - p)ⁿ⁻ˣ   ...eq 1

Where  Cn,ₓ represents the number of distinct combinations of x items drawn from a group of n elements, as determined by the formula below.

Cn,ₓ = n!/x!(n - x)!

Where p is the likelihood that anything will happen.

10 appeals are necessary; n = 10.

Because 40% of appeals are successful; p = 0.4.

For the probability of getting at least two heads.

P(X ≥ 2) = 1 - P(X < 1)

P(X < 2) = P(X = 0) + P(X = 1)

Put the values in eq 1 and get the values for X.

P(X < 2) = 0.006 + 0.0403  = 0.0463

Now,

P(X ≥ 2) = 1 -  0.0463

P(X ≥ 2) = 0.9537

Thus, the probability that of getting more than two heads is 0.9537.

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The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.

The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:

3 + x = 27

3 + x -3 = 27 - 3

x = 24

Similarly,

x + 6 – 6 = 5 – 6

x = -1

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Answer:

3+x=27

✔ subtraction property of equality with 3

x/6 = 5

✔ multiplication property of equality with 6

Step-by-step explanation:

The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined

1 to be 11/21

2 to be 61/116

4 to be 62/117

5 to be 25/47

6 to be 63/118

8 to be 64/119

0 to be 12/23

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.

The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.

The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below

12*/23* * replaced by 1 and reduced to be 11/21

12*/23* * replaced by 2 and reduced to be 61/116

12*/23* * replaced by 4 and reduced to be 62/117

12*/23* * replaced by 5 and reduced to be 25/47

12*/23* * replaced by 6 and reduced to be 63/118

12*/23* * replaced by 8 and reduced to be 64/119

12*/23* * replaced by 0 and reduced to be 12/23

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The table showing the possible value of S and their possibilities is attached below,

The probability that a player moves their counter forward more than 2 spaces is 0.5.

The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1.

Here, If the number on the dice is even, S is half that number; if it is not even, S is double that amount. The table showing the possible value of S and their possibilities is attached below,

Now, finding the probability that a player moves their counter forward more than 2 spaces,

As seen from the table, the number of favorable outcomes where the player moves the counter more than 2 spaces is 3.

The total number of outcomes is 6. so, the probability will be,

Probability [tex]=\frac{3}{6}[/tex]

[tex]=\frac{1}{2} \\\\=0.5[/tex]

Hence, the probability that a player moves their counter forward more than 2 spaces is 0.5.

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Answer:

[tex]\frac{17}{76}[/tex]

Step-by-step explanation:

expressing the ratio in fractional form

[tex]\frac{11\frac{1}{3} }{50\frac{2}{3} }[/tex] ← change mixed number to improper fractions

= [tex]\frac{\frac{34}{3} }{\frac{152}{3} }[/tex] ( multiply numerator and denominator by 3 )

= [tex]\frac{34}{152}[/tex] ( divide numerator and denominator by 2 )

= [tex]\frac{17}{76}[/tex] ← in simplest form

Answer: $4

Step-by-step explanation: we know he spent 28 dollars in total and 16 of those was on a pair of pants so we can subtract 16 from 28 to get 12

we also know he bought 3 shirts in total and because 12/3=4 each shirt must have cost 4 dollars.

We can check the answer by combining the price of the shirts (12)

with the price of the pants (16) because 12+16=28 we know the cost of each shirt has to be $4.

Answer:

Each shirt was 4 dollars.

Step-by-step explanation:

28 - 16 = 12. 12 divided by 3 = 4.

Answer:

All answers other than {7, 11, 15, 19}

Step-by-step explanation:

If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.

Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.

All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.

Therefore, all of the options except for {7, 11, 15, 19} are valid.

Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.

Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.

An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.

Part A: (8d-7)-(3d+6)

=8d-7-3d-6

=5d-13

Part B: For 7 days, d=7

              Cost        No. of sold

Basic       17          8(7)-7=49

Deluxe     25         3(7)+6=27

Therefore, Basic=17*49=$833

Deluxe=25*27=$675

Difference=833-675=158

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Answer:

n = 7

Step-by-step explanation:

The equation is,

→ n - 3n = 14 - 4n

Now the value of n will be,

→ n - 3n = 14 - 4n

→ -2n = 14 - 4n

→ -2n + 4n = 14

→ 2n = 14

→ n = 14/2

→ [ n = 7 ]

Hence, the value of n is 7.

That aint no question

The solution to the inequality is x > 0

Inequality in mathematics differentiate two values,  if one is less than, greater than, or not equal to another value

Evaluate the equation by letting the unknow to be on one side

−1 − 10x < −1

-10x < -1+1

Add +1 to both sides

= -1-10x+1 < -1+1

= -10x < 0

Divide both sides by -10 same factor and flip the relation because  of negative factor

=  -10x /-10 > 0/-10

= x > 0

Therefore the solution to the inequality is x>0

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The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)

We are given the number of students, n =  46, and  the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula  we are referring to for calculating the confidence interval which is :

x ± t (s/√(n))

since for  this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with  the degree of freedom of 45 is 2.015

x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)=  12.53

x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46

The interval is (11.46,12.53)

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its 4 cause i have done this

First, we isolate the variable on one side of the inequality by subtracting 15 from both sides:

15 - 2x - 15 ≤ 11 - 15

Simplifying the left side, we get:

-2x ≤ -4

Next, we divide both sides by -2. Since we are dividing by a negative number, we need to flip the inequality sign:

-2x/-2 ≥ -4/-2

Simplifying, we get:

x ≥ 2

Therefore, the solution to the inequality 15-2x ≤ 11 is x ≥ 2.

add me cuties

i came back home now....

Answer:

The number of books bought in each store would be 4 The amount spent will be the same in either store.

Step-by-step explanation:

Comment

The question has to make the assumption that no matter how many books are bought from store 1, the shipping charge is 8 dollars. Otherwise there is no solution.

Givens

Book1: 10 and  8 dollars total for shipping

Book2: 12 dollars, no shipping costs.

Equation

12x = 10x + 8         Subtract 10x from both sides

Solution

12x - 10x = 10x - 10x + 8      Combine

2x = 8                                   Divide both sides by 2

2x/2 = 8/2

x = 4

Answer:

11 - 2i

Step-by-step explanation:

Given expression:

[tex](4-3i)(2+i)[/tex]

Expand:

[tex]\implies 4(2+i)-3i(2+i)[/tex]

[tex]\implies 8+4i-6i-3i^2[/tex]

[tex]\implies 8-2i-3i^2[/tex]

Apply the imaginary number rule  i² = -1 :

[tex]\implies 8-2i-3(-1)[/tex]

Simplify:

[tex]\implies 8-2i+3[/tex]

[tex]\implies 11-2i[/tex]

Step-by-step explanation:

well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :

(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i

Answer:

x = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] = 4x ( multiply both sides by 2 to clear the fraction )

3 = 8x ( divide both sides by 8 )

[tex]\frac{3}{8}[/tex] = x

The maximum and minimum measurements are 5 and -3 respectively.

f ( x ) = -x^3 +3x^2+ 45 x + 10

f' l x ) = 0

0 = - 3x^2 +6x +45

x = 5,- 3.

f ( 4 ) = - ( 4 )^3+ 3( 4 )^ 2 + 45 ( 4 ) + 10 = 174

f ( - 4 ) = - ( - 4 )^3 + 3( - 4 )^2 + 45(- 4) + 10 = - 58

f ( - 3 ) = -(- 3 )^3 + 3 ( - 3)^2 + 45 (- 3) + 10 = - 7 1

+ ( 5 ) = -(5)^3 + 3(5 )^2 +45(5)+ 10 = 185

Absolute maximum = maxis{ f(4 ),f(5),f(-4),f( - 3 )}

                        = 185 at x=5

Absolute mininum=minis{f(4 ),f(5),f(-4),f( - 3 )}

                      = - 71 at x= -3

In light of this, the maximum and minimum values are 5 and -3, respectively.

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In the given triangle KLM with coordinates K(0,2) ,L(2 ,9) ,M(4,2), the sets of points which represent the dilation from the origin is K'(0,8), L'(8, 36) , M'(16, 8) multiply by scale factor 4.

As given in the question,

In the given triangle KLM,

Coordinates of the triangle KLM are given by :

K(0,2) ,L(2 ,9) ,M(4,2)

Dilation from the origin is represented by:

a. K'(0,2) , L'(8,9) , M'(16, 2)

Dilation scale factor does not effect on all the coordinates .

Not a correct option.

b. K'(0,2) , L'(2,36) , M'(16, 2)

Dilation scale factor does not effect on all the coordinates .

Not a correct option.

c. K'(0,8) , L'(8,36) , M'(16, 8)

Multiply by scale factor 4.

Dilation exist.

d. K'(4,6) , L'(6,13) , M'(8, 6)

Scale factor of addition of 4.

Dilation does not exist.

Therefore, in the given triangle KLM with coordinates K(0,2) ,L(2 ,9) ,M(4,2), the sets of points which represent the dilation from the origin is K'(0,8), L'(8, 36) , M'(16, 8) multiply by scale factor 4.

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Answer:

6 hours.

Step-by-step explanation:

Subtract initial fee from total. (67 - 19 = 48).

Divide by the hourly rate. (48 / 8 = 6).

The bike was rented for 6 hours.

4(a + 8)

multiply out:

= 4a + 32

Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.

See photo below. Comment for more clarification.

The value of y when x = -2, 0,2 is 1/49, 7, 49.

Simplification is an algebraic expression is when we utilize a range of approaches to make algebraic expressions more efficient and compact - in their simplest form - without changing the value of the original expression.

Given function y =[tex]7^{x}[/tex]

We have to determine the y values when x = -2, 0, 2

Now substitute the x values in the given function

If x = -2 then

Y = 7(-2)

Y = 1/49

If x = 0 then

Y = 7(0)

Y = 1

If x = 2 then

Y = 7(2)

Y = 49

Therefore the value of y when x = -2, 0 ,2 is 1/49, 7 , 49

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The volume of the rectangular prism is the 75 ft cube.

The prism below is a rectangular prism.

A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent.

The volume of a rectangular prism can be express as follows:

Volume of a rectangular prism = base area × height

Therefore,

base area of the prism = 25 ft²

height of the prism = 3 ft.

Hence,

Volume of the rectangular prism = 25 × 3

Volume of the rectangular prism = 75 ft³

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Answer:9x>6=76

Step-by-step explanation:9x>6=76

Number of ways , two contaminated and 8 non- contaminated farms be choosen is 3,304,845,180.

Permutation and Combination

Combination is a mathematical way to arranging the set of values randomly.

ⁿCᵣ = n! / r! (n-r)!

we have given that ,

total number of farms for lead contamination = 50

Number of farms have dangerously high level of lead = 8

so, number of non- containmated farms ( no high level of lead ) = 50-8 = 42

We have to find the number of ways to choose two contaminated farms and eight non- contaminated farms. Two containmated farms are selected from 8 containated farms and 8 non- contaminated farms are selected from 42 farms .

Number of ways for selecting two containmated farms = ⁸C₂ = 8!/2!×6! = 8×7/2 = 28

Number of ways for selecting eight non-containmated farms from 42 farms = ⁴²C₈

= 42! / 8! 34! = 42×41×---×35/8×7×----×1

= 118013185

The total number of ways to obtain 2 containmated farms and 8 non- contaminated farms in 10 farms selected is then product of number of ways to select the 2 containmated farms and number of ways to select 8 non-containmated farms .

= 118030185× 28 = 3,304,845,180

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Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

AB and DE, BC and FE, then AC and DF

The solution is worked out using sides BC and FE, then AC and DF

BC / AC = FE / DF

8 / AC = 16 / 20

reducing the fraction 16/20 gives

8 / AC = 8 / 10

hence  AC = 10

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Using the concept of percentage we get 16-inch pizza is 43.75% larger than a 12-inch pizza.

Percentage means out of hundred. A number that is expressed as a fraction of a hundred is called a percentage. Percentage change = Change in the value / Initial value.

Area of circle = π R²,

Where R is the radius of circle.

Given that size of a pizza is measured by its diameter and surface area.

Diameter of the first pizza = 16 inch

So its radius = 8 inch

Hence area = π×8²

= 64π

And the diameter of the other pizza = 12 inch

So, its radius = 6 inch

Hence its area = π×6²

= 36π

Now the difference in areas of Both the pizza = 64π - 36π

= 28π

Now percentage difference in areas of both pizzas = 28π×100)/64π%

= 2800/64

=43.75%

Hence, 16-inch pizza is 43.75% larger than a 12-inch pizza.

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Answer: 16

Step-by-step explanation: