Which system of equations is satisfied by the solution shown in the graph?
9
2 3 4 5 X
-5
-4
3
8
N
6
51
3.

Answer:

hope this helps.

Step-by-step explanation:

Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

The probability of at least one value being observed more than once in 55 rolls of a die is 0.972

To solve this problem, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

So, first, let's find the probability that no value is observed more than once in 55 rolls of a die.

For the first roll, any number from 1 to 6 can be rolled. For the second roll, there are 5 remaining numbers that can be rolled (since one number has already been rolled). For the third roll, there are 4 remaining numbers that can be rolled, and so on.

Therefore, the probability of getting 55 rolls without any number being repeated is:

P(55 distinct rolls) = (6/6) × (5/6) × (4/6) × ... × (2/6) × (1/6)

= 6! / 6^55

= 0.028

Now, we can use the complement rule to find the probability of getting at least one value observed more than once:

P(at least one repeated value) = 1 - P(55 distinct rolls)

= 1 - 0.028

= 0.972

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Answer:

The answer would be 90.

Step-by-step explanation:

There are two ways to solve this problem.
Option 1:  See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)

Hey there!

88 + 36 VS ? + 34

88 + 36 VS x + 34

88 + 36 = x + 34

124 = x + 34

NEW EQUATION:

124 = x + 34

x + 34 = 124

SUBTRACT 34 to BOTH SIDES

x + 34 - 34 = 124 - 34

SIMPLIFY IT!
x = 124 - 34

x = 90

Therefore, the mystery number/answer is: 90

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The family of lines that are parallel to \(2\cdot x + y = 6\) is of the form \(2\cdot x + y = k, \,k\neq 6\). A possible solution is \(2\cdot x + y = -2\).

Step-by-step explanation:

Let be \(2\cdot x + y = 6\) the equation of a line, another line is parallel to it if and only if it is of the form:

\(2\cdot x + y = k, \,k\neq 6\)  (1)

Then, a possible solution is \(2\cdot x + y = -2\).

Answer:

B=18 and C=2

Step-by-step explanation:

To find the possible factors of the function, recall that a*c must equal u*v and b must equal u+v:

So,

\(a=1\\b=16\\c=-36\\u=-2\\v=18\)

\((1)(-36)=-36=(-2)(18)\)

and

\(16=(-2)+(18)\)

f(x) can then be rewritten as:

\(f(x)=x^2-2x+18x-36\\f(x)=(x^2-2x)+(18x-36)\\f(x)=x(x-2)+18(x-2)\\f(x)=(x+18)(x-2)\)

So,

B=18 and C=2

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Lauren's accounting profit can be calculated by subtracting her total expenses (rent, labor costs, and overhead expenses) from her total revenue.

To determine Lauren's accounting profit, we need to subtract her total expenses from her total revenue. Her total revenue for the year was $145,000. Her total expenses include rent ($12,000), labor costs ($65,000), and overhead expenses ($15,000).

To calculate her accounting profit, we subtract the total expenses from the total revenue:

Accounting Profit = Total Revenue - Total Expenses

Accounting Profit = $145,000 - ($12,000 + $65,000 + $15,000)

Accounting Profit = $145,000 - $92,000

Accounting Profit = $53,000

Therefore, Lauren's accounting profit for the year is $53,000. This represents the amount of interests left after deducting all the expenses from the total revenue. It is important to note that accounting profit does not take into account other factors such as opportunity costs or non-cash expenses, but it provides a basic measure of the profitability of the business based on the given information.

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Answer: number 1 2 and four are correct

Step-by-step explanation:

I DID THE SAME THING

Answer:

1,2,4

Step-by-step explanation:

Answer: its 4

Step-by-step explanation: trust me bro i had this question too

The original data evaluates to option d) [10, 15, 20, 30] because the statement `data.insert(1, 15)` inserts the value 15 at index 1, shifting the remaining elements accordingly. The correct option is (D).

When the `insert()` method is called on a list, it takes two arguments: the index at which the new element should be inserted and the value of the new element.

In this case, the index is 1, which means the new element will be inserted at the second position in the list, shifting the existing elements to the right.

So, after the insertion, the element 15 is placed at index 1, and the original elements 10, 20, and 30 are shifted to indices 2, 3, and 4 respectively. The resulting list becomes [10, 15, 20, 30].

Therefore, the correct answer is d) [10, 15, 20, 30].

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Inverses of a modulo m for each of the given pairs of relatively prime integers are:

a. 2^-1 mod 17 = 9

b. 34^-1 mod 89 = 44

c. 144^-1 mod 233 = 206

d. 200^-1 mod 1001 = 801

To find the inverse of a modulo m, we need to solve the equation ax ≡ 1 (mod m). One way to do this is to use the extended Euclidean algorithm.

a. For a = 2 and m = 17, we apply the extended Euclidean algorithm to get gcd(2, 17) = 1 and 2(9) - 17(1) = 1, so the inverse of 2 modulo 17 is 9.

b. For a = 34 and m = 89, we apply the extended Euclidean algorithm to get gcd(34, 89) = 1 and 34(44) - 89(17) = 1, so the inverse of 34 modulo 89 is 44.

c. For a = 144 and m = 233, we apply the extended Euclidean algorithm to get gcd(144, 233) = 1 and 144(206) - 233(127) = 1, so the inverse of 144 modulo 233 is 206.

d. For a = 200 and m = 1001, we apply the extended Euclidean algorithm to get gcd(200, 1001) = 1 and 200(801) - 1001(160) = 1, so the inverse of 200 modulo 1001 is 801.

Therefore, we have found the inverses of a modulo m for each of the given pairs of relatively prime integers.

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By using the relative frequency, we can expect to not roll a "6" in 11 rolls.

We know that in a total of 72 rolls, the outcome is "6" 21 times.

Then the relative frequency is:

F = 21/72 = 0.292

Then we can expect that in N rolls, we will get (0.292)*N times a "6".

So the number of times that we will not get a 6, is:

(1 - 0.292)*N

In this case is N = 15, then we get:

(1 - 0.292)*15 = 10.62

Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.

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Answer:

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

Step-by-step explanation:

2[3+-2(-1)] +3

2[3+2] +3

2(5) +3

10+3

13

Answer:10 & 12

Step-by-step explanation:

Answer:

The 5th step will need 32 blocks, and the 6th step will need 64 blocks.

Step-by-step explanation:

Each step requires the blocks to be doubled. The first step has two, 2x2 is 4. There are 4 blocks in the next step. 4x2 is 8. There are 8 blocks in the next step, and so on and so forth. Just multiply by 2. Hope this helped!

The Solution:

Given the system of inequalities below:

Graphing the inequalities, we have:

To choose the type of boundary line for the inequalities.

Enter two points on the boundary line.

For the inequality x>4:

For the second inequality, two points on the boundary line are:

The region to be shaded is region B as shown in my graph above (though I do not know how A and B are labeled in the given graph)

Answer:

Step-by-step explanation:

So that there are no uneven bits leftover we need to find the highest number which will divide evenly into both 25 and 35. It is 5.  

So the largest size the piece could be would be 5cm x 5cm.

This will give us 35 square pieces of cake.

The largest size the piece could be is 5 cm and the number of pieces are 35

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given that, Ginny is having a birthday. Her cake is 25 cm by 35 cm, and she wants to cut it into square pieces of equal size.

To find the largest size the piece could be, we will find the HCF of the numbers

25 = 5 x 5

35 = 5 x 7

HCF = 5

So, the largest size the piece could be = 5 cm

Now, finding the area of a single piece = 5² = 25 cm²

For finding the number of pieces of this size could be cut, divide the area of the whole cake by the area of the piece,

= 25 x 35 / 25

= 35

Hence, the largest size the piece could be is 5 cm and the number of pieces are 35

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b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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Answer:

D, purple line.

Hope this helps!

Good luck with your finals!

Answer:

Gregor Mendel knew how to keep things simple. In Mendel's work on pea plants, each gene came in just two different versions, or alleles, and these alleles had a nice, clear-cut dominance relationship (with the dominant allele fully overriding the recessive allele to determine the plant's appearance

Step-by-step explanation:

ok intro dear new sis

Answer:

$5.49

Step-by-step explanation:

Rewrite 23¢ and 2¢ as $0.23 and $0.02, and then combine them:  $0.25.  Now add this result to $5.24.  We get $5.49

The slope of the straight line paths the knight can travel is 1.

Slope is the ratio of the rise, the vertical change, to the run, the    horizontal change of a line.

To calculate the slope of the straight paths, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

hence, the slope of the straight line part is 1.

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Answer:

1.6cm

Step-by-step explanation:

1cm=4m

      =6.5m

6.5÷4=1.625 round it off to the nearest tenths=1.6

Answer:

Count the digits to the right of each decimal point three digits in this case. Move the decimal point three spaces in the total, starting at the right and moving left.

The probability of getting a spade, P(Spade), is 13/52 or 0.2500.

The probability of getting a club, P(Club) = 13/52 or 0.2500.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

For instance, if you flip a coin 100 times, you have a 50% chance of getting heads, thus you should anticipate 50 heads. But when we actually test it, we may get 48 heads, 55 heads, or anything else at all, though it will typically be a figure close to 50.

We have a total of 52 cards in the deck.

So, the total number of outcomes = 52

Total number of spades cards = 13

Total number of clubs = 13

So, the sample space would be 13

The probability of getting a spade P(Spade) =13/52 = 0.2500

Similarly, The probability of getting a club P(Club) =13/52 = 0.2500

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The matrix P_1 for the factorization A = P_1.D_1.P^-1_1 is P_1 = [15 -30 15 -75; 0 0 0 0; 0 0 0 0; -25 50 -25 125].

To find the matrix P_1 for the given factorization of A, we can use D_1 = [3 0 0 5] and the given matrices P, D, and P^-1 to obtain P_1 = P.D_1.(P^-1).

Given factorization of A is A = PDP^-1, where A = [9 -12 2 1], P = [1 -2 1 -3], D= [5 0 0 3], and P^-1 = [3 -2 1 -1]. We are also given a diagonal matrix D_1 = [3 0 0 5]. To find the matrix P_1 for the factorization A = P_1.D_1.P^-1_1, we can use the following steps:

Multiply P and D_1 to obtain PD_1:

PD_1 = [1 -2 1 -3] * [3 0 0 5] = [3 -6 3 -15 0 0 0 0]

Multiply PD_1 and P^-1 to obtain P_1:

P_1 = PD_1 * P^-1 = [3 -6 3 -15 0 0 0 0] * [3 -2 1 -1; -6 4 -2 2; 3 -2 1 -1; -15 10 -5 5]

= [15 -30 15 -75; 0 0 0 0; 0 0 0 0; -25 50 -25 125]

Therefore, the matrix P_1 for the factorization A = P_1.D_1.P^-1_1 is P_1 = [15 -30 15 -75; 0 0 0 0; 0 0 0 0; -25 50 -25 125].

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Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer:

B

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

Answer:

Depends on the pool you are pulling them from.

There are currently 11 different denomination accessible.

That would be 1 out of 11.

But considering that 4 of those bills are uncommon, the odds become 1 out of 7

Then to pull 2 of the same would mean you multiply 1/11 by 1/11 = 1/121

for the 1/7 it would become 1/49