REPOST* which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

To solve the exponential and logarithmic functions in the unit, you need to apply the power rule. The missing angles are as follows:

1.  45°

2.  129°

3. 37°

To get the answers to the exponential and logarithmic functions, first, identify the exponential expression, then you should take the logs of the two sides you want to evaluate. Finally, use the power rule of logarithms to get the answers.

The power rule will be used correctly when you express the log as the product of the base log and exponent. When this is done, it will be easy to simplify the functions.

We can find the missing angles as follows:

1. m∠1 = 180° - (76° + 59°)  

= 45°

Therefore, m∠1 = 45°

2. m∠1 = 62° + 67°

= 129°

Therefore, m∠1 = 129°

3. m∠1 = 152° - 115°

= 37°

Therefore, m∠1  = 37°

Question:

Unit 4: Congruent Triangles

Find all missing angles

1. m∠1

2. m∠1

3. m∠1

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Answer:  10 feet

Step-by-step explanation:

The diameter of a circle is double the radius.

Therefore, if the radius is 5 ft, then the diameter is 2*5 feet = 10 feet.

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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The area of the shaded region can be found by evaluating the integral of the given function, y = x^2 - 6y, within the specified bounds. The final answer for the area of the shaded region is approximately 108.33 square units.

To calculate the area of the shaded region, we need to find the limits of integration for both x and y. From the given information, we have the following bounds: x ranges from -5 to 5, and y ranges from the function x = 4y - y^2 to y = 5.

Setting up the integral, we integrate the function y = x^2 - 6y with respect to x, while considering the appropriate limits of integration for x and y:

A = ∫[-5, 5] ∫[4y - y^2, 5] (x^2 - 6y) dx dy

Evaluating this double integral, we find that the area A is approximately equal to 108.33 square units.

Please note that without specific equations or clearer instructions for the limits of integration, it's difficult to provide an exact and detailed calculation.

However, the general approach outlined above should help you set up and evaluate the integral to find the area of the shaded region.

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Answer:

Step-by-step explanation:

8=2x+4

8-4=2x+4-4

subtract the numbers

4=2x

divide both by same factors

4=2x

4/2 = 2x/2 ("/" means upon)

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

x=2

Answer:

\( \sf \: x = 2\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 8 = 2x + 4

Then the value of x will be,

→ 8 = 2x + 4

→ 2x + 4 = 8

→ 2x = 8 - 4

→ 2x = 4

→ x = 4 ÷ 2

→ [ x = 2 ]

Hence, the value of x is 2.

The probability that X is greater than or equal to 2 is approximately 0.9977, rounded to two decimal places.

We can standardize the variable X to a standard normal distribution, which has a mean of 0 and a standard deviation of 1, using the formula:

\(z = (x - \mu) /\sigma\)

x is the value of the random variable,

μ is the mean, and σ is the standard deviation.

\(P(X > = 2)\), which is equivalent to finding \(P(Z > = (2 - 3)/0.35) = P(Z > = -2.86)\), where Z is a standard normal random variable.

A standard normal distribution table or a calculator, we can find that

\(P(Z > = -2.86) = 0.9977\) (rounded to four decimal places).

Therefore,

\(P(X > = 2) = P(Z > = -2.86) = 0.9977\)

By applying the following formula, we may standardise the variable X to a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

\(z = (x - \mu) /\sigma\)

The random variable's value is x, whereas the mean and standard deviation are and, respectively.

P(X > = 2), which is the same as discovering

, where Z represents a regular standard random variable.

We may determine it using a calculator or a basic normal distribution table.

P(Z > = -2.86) = 0.9977(four decimal places rounded).

Therefore,P(X > = 2) = P(Z > = -2.86) = 0.9977

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Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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For the current is rate of charge flows through a surface, \( \frac{ dQ}{dt} = I \), the charge passes through the surface after 9 seconds is equals to 2052 C.

There is amount of charge passing through a surface, by a function Q(t) is measured in coulombs C. The modeled current function, I(t) = 9t²- 4t + 3 --(1)

where t denotes the time in second. We have to determine the charge passes through the surface after 9 seconds. As we know current is defined as a rate at which charge flows through a surface, i.e., \( \frac{ dQ}{dt} = I \). The units used for current is Ampere, A. From equation (1) and (2), \(\frac{ dQ}{dt} = 9t² - 4t + 3\)

So, for determining the charge we integrate, the previous equation with respect to the time t, \(\int \frac{ dQ}{dt} dt = \int_{0}^{t} I(t) dt = \int_{0}^{9} ( 9t² - 4t + 3) dt\)

\(Q =[\frac{9t³}{3} - \frac{ 4t²}{2} + 3t]_{0}^{9}\)

\( = 3× 9³ + 27 - 2× 9²\)

= 2052

Hence, required value is 2052 coulombs.

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Complete question:

The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C. The current is the rate at which charge flows through a surface. This function is I(t) and is measured in amperes, A, or coulombs per second, C/s. If a current for a certain surface is modeled by the function I(t)=9t² −4t + 3 for t≥0, how much charge passes through the surface after 9 seconds? ______________coulombs

There are 2 1/2 cups of flour in one batch of cookies.

A form of fraction known as a mixed number combines a whole number and a proper fraction. Because it represents two complete units and one-half of another unit, the number 2 1/2, for instance, is a mixed number. When expressing amounts that are not whole numbers but are also not small enough to be stated as simple fractions, mixed numbers are frequently utilised.

On the other hand, an improper fraction is one where the numerator (the top number) exceeds or is equal to the denominator (the bottom number).

Given, Luanne used 8 3/4 cups of flour to make 3 1/2 batches of cookies.

Thus, the number of batches made are:

8 3/4 cups = 3 1/2 batches

x = 1 batch

Using cross multiplication we have:

x = (35/4) cups ÷ (7/2)

x = 5/2 = 2 1/2 cups

Hence, there are 2 1/2 cups of flour in one batch of cookies.

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Given

Formula

Substitute the given into the formula

The final balance is ₦2,180.94

ASAP? oh ok

Answer:

12/18

Step-by-step explanation:

Simplifying 12/18 makes it 2/3

To find the variance of 5X + 2Y, we need to calculate the variance of this new random variable. Let's break it down step by step.

1. First, let's calculate the variance of 5X. Since X is a random variable with a variance 3, multiplying it by 5 will result in a new random variable with a variance 5^2 times the variance of X. Therefore, the variance of 5X is 5^2 * 3 = 75.

2. Next, let's calculate the variance of 2Y. Since Y is a random variable with a variance 4, multiplying it by 2 will result in a new random variable with a variance 2^2 times the variance of Y. Therefore, the variance of 2Y is 2^2 * 4 = 16.

3. Now, let's calculate the covariance between 5X and 2Y. The covariance of a linear combination of random variables can be calculated using the following formula: Cov(aX, bY) = a * b * Cov(X, Y). In this case, a = 5, b = 2, and Cov(X, Y) = 2. Therefore, the covariance of 5X and 2Y is 5 * 2 * 2 = 20.

4. Finally, let's find the variance of 5X + 2Y. The variance of a sum of random variables can be calculated using the following formula: Var(X + Y) = Var(X) + Var(Y) + 2 * Cov(X, Y). In this case, Var(X) = 75, Var(Y) = 16, and Cov(X, Y) = 20. Plugging in these values, we get: Var(5X + 2Y) = 75 + 16 + 2 * 20 = 75 + 16 + 40 = 131.

Therefore, the variance of 5X + 2Y is 131. The correct answer is (a) 131.

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Answer:

x=±√​10​​​

Step-by-step explanation:

there is the answer hop you have a great rest of your day!:)

Answer:

AED=63°

SEE IMAGE FOR SOLUTION

Answer:

AED=63°

Step-by-step explanation:

Considering the desired test, it is found that:

1)

The null hypothesis is: \(H_0: \mu = 5\)

The alternative hypothesis is: \(H_1: \mu < 5\)

2) Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

3) The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

At the null hypothesis, we test is the mean weight is still the same, that is:

\(H_0: \mu = 5\)

At the alternative hypothesis, we test if the weight has decreased, that is:

\(H_1: \mu < 5\)

Question 2:

Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

Question 3:

The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

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Answer:

12a^3+2a^2+23a+18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given \(-6x-20\)

Proof that it is equal to the \(-2x + 4(1 - 3x)\) or not

\(-2x + 4(1 - 3x)\)

Distribute

\(-2x+ 4-12x\)

\(4-14x\)

Not equal to the \(-6x-20\) \(\neq\) \(4-14x\)

So, it is false

What is Distribute in math?

To "distribute" anything is to divide it up or to give someone a piece of it.

What does the mathematical distributive property mean then?

The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an expression of the type A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.

This characteristic also holds for subtraction.

A(B-C) = AB-AC

This demonstrates that the other two operands share operand A.

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Answer:

Andre's Method is the only one that works

Step-by-step explanation:

Noah's method won't work because he doesn't follow the order of operations. You can pull the the 9 out first you have to distribute the 2 first.

Elena's method doesn't work because to eliminate the 18 you must use the reverse operation it must be added not subtracted.

Andre's Method is the only one that works

Answer:

3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

1)Cost of 1 ton = $ 2000

Cost of 2 ton = $3500

Cost of 3 ton = $5000

$ 1500 increase for each of ton of sugar being transported.

2) (1 , 2000) ; (2 , 3500)

Slope =

= 1500

Complete question:

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta correcta se asignan 5 puntos y por cada incorrecta (o no contestada) se restan 2 puntos. Si un participante obtuvo un puntaje de 94 puntos, ¿cuantas preguntas respondió bien?

Responder:

número de respuestas correctas = 22

Explicación paso a paso:

Dado lo siguiente:

Número total de preguntas = 30

Deje respuestas correctas = y; Respuestas incorrectas = n

Marca otorgada por y = 5

Marca deducida por n = 2

Si el total de preguntas = 30; luego

y + n = 30 - - - - (1)

Puntuación total obtenida = 94; luego

5y - 2n = 94 - - - (2)

De 1),

y + n = 30

y = 30 - n

Sustituya y = 30 - n en equ (2)

5 (30 - n) - 2n = 94

150 - 5n - 2n = 94

150 - 7n = 94

-7n = 94-150

-7n = - 56

n = 56/7

n = 8

Sustituir n = 8 en (1)

y + n = 30

y + 8 = 30

y = 30 - 8

y = 22

y = número de respuestas correctas = 22

n = número de respuestas incorrectas = 8

Usando un sistema de ecuaciones, se encuentra que el participante obtuve 22 respuestas correctas.

En el sistema, x es el número de respuestas correctas, con y siendo el número de respuestas incorrectas.

Total de 30 preguntas, o sea:

\(x + y = 30 \rightarrow y = 30 - x\)

5 puntos asignados por cada respuesta correcta, 2 restados por cada respuesta incorrecta. Puntaje de 94 puntos, o sea:

\(5x - 2y = 94\)

Considerando \(y = 30 - x\)

\(5x - 60 + 2x = 94\)

\(7x = 154\)

\(x = \frac{154}{7}\)

\(x = 22\)

El participante obtuve 22 respuestas correctas.

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The number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Suppose we want to choose 6 letters without replacement from 10 distinct letters.

Number of letters = 10

Number of letters need to select = 6

Order is important.

A number of ways:

C(10, 6) = 10!/(10-6)!

= 10!/(4)!

= 151200

Thus, the number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.

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Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

If w = 0.5, then f = 24/0.5 = 48cm. So, it is a possible input of the function.

If w = 48, then f = 24/48 = 0.5cm. So, it is a possible input of the function.

If w = 0, then f = 24/0 = 0cm. So, it is not a possible input of the function as it cannot be defined

If w = -6, then f = 24/-6= -4cm. So, it is not a possible input of the function as a length and width can't be negative

If w = 3, then f = 24/3 = 8cm. So, it is a possible input of the function.

The possible input of the function are: A 0.5,  B 48 and E. 3  

Area of rectangle= length x breadth

f= length of the rectangle

w= width of the rectangle

We have possible input of the function.

A. 0.5    B. 48    C. 0   .D -6   E. 3

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An increase in the tax rate (T) will result in a lower equilibrium interest rate (i) and a lower equilibrium output level (Y). It's important to note that these effects depend on various assumptions and the specific functional forms of the equations in the IS/LM model.

A. To calculate the effect of the change in government spending (G) on the equilibrium interest rate (i) and output level (Y), we need to analyze the IS/LM model.

In the IS/LM model, the equilibrium is determined by the intersection of the IS curve (goods market equilibrium) and the LM curve (money market equilibrium).

Effect on the equilibrium interest rate (i):

An increase in government spending (G) will shift the IS curve to the right. This is because higher government spending increases aggregate demand, leading to higher output and income. As a result, there is upward pressure on the interest rate.

The shift in the IS curve will cause the equilibrium interest rate (i) to increase.

Effect on the equilibrium output level (Y):

With the increase in government spending (G), the IS curve shifts to the right, indicating higher aggregate demand. This leads to an increase in the equilibrium output level (Y). The increase in government spending directly contributes to the increase in output through the autonomous component of aggregate demand (G).

In summary, an increase in government spending (G) will result in a higher equilibrium interest rate (i) and a higher equilibrium output level (Y).

B. To calculate the effect of the change in the tax rate (T) on the equilibrium interest rate (i) and output level (Y), we again analyze the IS/LM model.

Effect on the equilibrium interest rate (i):

A change in the tax rate (T) affects disposable income (YD) and, consequently, consumption (C). An increase in the tax rate reduces disposable income, leading to a decrease in consumption. This decrease in consumption reduces aggregate demand and shifts the IS curve to the left. The shift in the IS curve will cause the equilibrium interest rate (i) to decrease.

Effect on the equilibrium output level (Y):

The decrease in consumption resulting from the increase in the tax rate (T) reduces aggregate demand, which in turn leads to a decrease in the equilibrium output level (Y). The decrease in consumption directly affects the aggregate demand component related to consumption (C), resulting in a lower equilibrium output level (Y).

In summary, an increase in the tax rate (T) will result in a lower equilibrium interest rate (i) and a lower equilibrium output level (Y).

It's important to note that these effects depend on various assumptions and the specific functional forms of the equations in the IS/LM model.

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Answer:

the price of the socks is 22€

Step-by-step explanation:

To find the value of a pair of socks you first write an algebraic expression for the situation of the problem.

Maria has 52€, she spent 23€ and also she spent in buying the three pairs of socks. You can chose x as the price of one pair of socks, then, Maria spent 3x. In the end Maria is owd 23€.

If you subtract 23€  and 3x to 52€  you obtain a negative value of -13€ . That is:

53 - 3x = -13    (1)

From the last equation you obtain x:

- 3x = - 13 - 53

-3x = - 66

x = (66/3) = 22

hence, the price of the socks is 22€

Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.

We are given asked when the sample size is kept the same,

we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)

Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,

                                           E↑⇔C↑and E↓⇔C↓

Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .

The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.

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