Find the m∠Z.

12degrees
15.5
4.4
47.7

Given

x = -1 ,

y = 2x - 1 ..................(1)

-2x - y = 5.....................(2)

Find

The value of y

Explanation

given x = -1

substitute the value of x in equation (1)

Final Answer

Therefore , the value of y is -3.

so , the correct option is 3.

The statement that is not a step that is used in calculation of standard deviation would be dividing the sum of each value by the total number of values plus 1. That is option C.

Standard deviation is defined as the average amount of variability in a data set. The average tells how far each value is from the mean.

The steps that needs to be followed to be able to calculate the standard deviations of a dataset include the following:

Therefore, statement that is not a step that is used in calculation of standard deviation would be dividing the sum of each value by the total number of values plus 1.

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Answer:

C i think

Step-by-step explanation:

Once an action is caused, a reaction immediatley happens

Answer

4: 22 degrees

3: (9,2)

Step-by-step explanation:

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

40.25 yds to the the nearest 100th

Step-by-step explanation:

The diagonal forms a right triangle with the length and width.

The diagonal is the hypotenuse

So, let d = the diagonal distance

\(d^{2}\) = \(18^{2} + 36^{2}\)

   = 324 + 1296

   = 1620

d =  \(\sqrt{1620}\) = 40.25 yds to the the nearest 100th

Answer:

x- 2

Step-by-step explanation:

Answer:

y - y, =m(x - x,)

Step-by-step explanation:

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

Part A: Sydney made $21.50 at her yard sale by selling lemonade by the cup. She earned a $8 gratuity from a neighbor after selling each cup for $0.50. Here is an equation to illustrate: 0.5x + 8 = 21.50

Part B: Daria sold lemonade and earned $21.00. She earned a $7 gratuity from a neighbor for selling her lemonade for $1 per cup, but she also had to pay $0.20 for each plastic cup she used. A suitable equation is: 1.0y + 7 - 0.2y = 21.00

Part A:

Let x be the number of cups of lemonade Sydney sold.

Then the amount of money she made by selling cups of lemonade is given by:

0.5x + 8

And we know that she made $21.50 in total, so we can write:

0.5x + 8 = 21.50

The equation that captures the scenario is as follows.

Part B:

Let y be the number of cups of lemonade Daria sold.

Then the amount of money she made by selling cups of lemonade is given by:

1.0y + 7

But she also had to buy plastic cups for $0.20 each, so her expenses are given by:

0.2y

Therefore, her profit is:

1.0y + 7 - 0.2y

And we know that her profit was $21.00, so we can write:

1.0y + 7 - 0.2y = 21.00

Simplifying this equation, we get:

0.8y + 7 = 21.00

This is the equation that represents the situation.

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Answer:

2 hours

Step-by-step explanation:

Answer:

- 12

Step-by-step explanation:

The absolute value always gives a positive result , that is

| - a | = | a | = a

Then

- 3 | - 16 + 12 |

= - 3 | - 4 |

= - 3 × 4

= - 12

Answer:

this is the  answer \(x\geq 40\)

hope this helps!

Answer:

x is greater than or equal to 40

Step-by-step explanation:

30-90

-3/2x <-60

x>40

Answer:

x = 6.

QU = 9.5.

Step-by-step explanation:

RVZW is a kite

as ZU = 12 and ZV = 12 and V<RVZ and < RUZ are both right angles.

Therefore RU = RV.

As the radii ZW and ZY are at right angles to the chords RS and RQ they cut them in half so RS = RQ so:

3x + 1 = 19

3x = 18

x = 6.

QU = 1/2 * 19

= 9.5

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x

Step-by-step explanation:

3x+4=25

3x=25-4=21

3x/3=21/3

x=7

Answer:

\(\sqrt{35}\)

Step-by-step explanation:

A geometric mean is just \(\sqrt[n]{term one * term two * term three * etc.}\), where n is the number of terms.

i.e. Geometric mean of 5, 6, 7: there are three values, so the mean is \(\sqrt[3]{5*6*7}\)

Answer:

mean is correct option it will

Answer:

It will be B. mean

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

200

Step-by-step explanation:

i think hope it helps

Answer: There are 25 crates and 15 boxes in the truck when it is full.

Step-by-step explanation:

Let c= Number of crates , b= Number of boxes.

As per given,

\(c+b = 40\)     (i)

\(3c=5b\\\\\Rightarow\ c=\dfrac{5b}{3}\)        (ii)

Put value of c from (ii) in (i)

\(\dfrac{5b}{3}+b = 40\\\\\Rightarrow\ \dfrac{5b+3b}{3}=40\\\\\Rightarrow\ \dfrac{8b}{3}=40\\\\\Rightarrow\ 8b=3\times40\\\\\Rightarrow\ 8b=120\\\\\Rightarrow\ b=\dfrac{120}{8}=15\)

put value of b in (ii),

\(c=\dfrac{5\times15}{3}=5\times5=25\)

Hence, there are 25 crates and 15 boxes in the truck when it is full.

25 boxes 15 crates

We would get this solution by adding up the two sides comparing the ratios, hence: we get room for 3 crates for every 5 boxes that we can hold in the truck.

A ratio is an ordered pair of numbers a and b, written a:b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. hence, if there is 3 crates and 5 boxes you could write the ratio as: 3 : 5 (for every 3 crates there are 5 boxes) 3 / 5 are boys and 5 / 3 are crates.

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Answer:

-x² + 3x + 1 = x² + x + 1

2x² - 2x = 0

2x(x - 1) = 0

2x = 0 or x - 1 = 0

x = 0 or x = 1

The graphs intersect at (0, 1) and at (1, 3).

Answer: 24

Step-by-step explanation: Here, we have the expression 2x + 10,

and we want to evaluate the expression when x = 7.

To an evaluate an expression, we simply plug

the value of the variable into the expression, and solve.

So here, since x = 7, we have 2(7) + 10.

2(7) is equal to 14 so we have 14 + 10 which is equal to 24.

So the value of our expression when x = 7 is 24.

(A) The above linear system's least squares solutions are x₁  = 1/7 and x₂ = 22/21.

(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.

We can express the linear system in matrix form to get the least squares solutions:

A * X = B

Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.

The following is a rewrite of the provided linear system:

| 3 -1 | | x1 | | 4 |

| 1 -2 | * | x2 | = | 3 |

| 2 3 | | 2 |

Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:

A^T * A * X = A^T * B

Where A^T is the transpose of matrix A.

First, let's calculate A^T * A:

= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |

= | 1 -2 |

= | 2 3 |

= | 14 -4 |

= | -4 14 |

Next, let's calculate A^T * B:

= | 3 1 2 | | 4 |

= | 3 |

= | 2 |

= | 17 |

= | 7 |

Let's now resolve the standard equation:

| 14 -4 | | x1 | | 17 |

| -4 14 | * | x2 | = | 7 |

Simplifying, we have:

14×1 - 4×2 = 17

-4×1 + 14×2 = 7

Solving this system of equations, we find:

x1 = 1

x2 = 2

So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.

Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.

(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:

Residuals = B - A * X

Substituting the values, we have:

| 4 | | 3 -1 | | 1 |

| 3 | - | 1 -2 | * | 2 |

| 2 | | 2 3 | |

| 4 | | 3 - (-1) | | 1 | | 5 |

| 3 | - | 1 - (-2) | * | 2 | = | 2 |

| 2 | | 2 - 3 | | -1 |

The least squares error vector is therefore [5, 2, -1].

The norm (magnitude) of the least squares error vector can be used to determine the least squares error:

Least squares error = ||Residuals||

We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.

As a result, the least squares error is roughly 30.

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From the given options, it appears that option C, \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \), best describes the action of the circuit based on the logical operations performed.

To determine which of the given Boolean equations describes the action of the circuit, let's analyze each equation step by step.

A. \( X = (\overline{A \cdot B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\overline{A \cdot B}) \), represents the negation of the logical AND operation between \( A \) and \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

B. \( X = (A \cdot B) \cdot (B + C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (A \cdot B) \), represents the logical AND operation between \( A \) and \( B \). The second term, \( (B + C) \), represents the logical OR operation between \( B \) and \( C \). The two terms are then multiplied using the logical AND operation.

C. \( X = (\bar{A} \cdot \bar{B}) + (B \cdot C) \)

In this equation, \( X \) is the output of the circuit. The first term, \( (\bar{A} \cdot \bar{B}) \), represents the negation of \( A \) ANDed with the negation of \( B \). The second term, \( (B \cdot C) \), represents the logical AND operation between \( B \) and \( C \). The two terms are then summed using the logical OR operation.

It's important to note that without additional context or a specific circuit diagram, we can't definitively determine the correct equation for the circuit. The given equations represent different logic configurations, and the correct equation would depend on the specific circuit design and desired behavior.

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Given:

A survey about the types of pets people oen.

The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

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Step-by-step explanation:

Given:

Theater has 15 seats

Last Row has 72 seats.

Theater has a total of 870 seats.

Unknown: Number of rows

Number of seats in each row.

Equations: Since we know the total number of seats the Theater has we can use the sum of arithmetic series

\(s = \frac{a _{1} + a _{n} }{2} n\)

Where a1 is the first row of seats

s is total number of seats

an is last row of seats

n is number of rows.

\(870 = \frac{15 + 72}{2} (n)\)

\(870 = \frac{87}{2} n\)

\(2(870) = 87n\)

\(20 = n\)

So we have 20 rows.

To find how many seats does each row increase, we use this formula,

\(a _{n} = a + (n - 1)d\)

Let use the 20th row as an example,

\(a _{20} = 15 + (19)d\)

\(72 = 15 + (19)d\)

\(57 = 19d\)

\(3 = d\)

So the common difference is 3.

So the seats of each row increase by 3.