How many dominos are needed to complete the triangle?

The percentage decrease in the price of the two bags of oranges is 25.1 %.

We have been told that the usual price of a bag of oranges was $4 and during the promotion, it became $5.99 for two bags of oranges. We need to find the percentage decrease here.

We can calculate that two bags before the promotion cost =  $4 × 2 = $8

As we already know, the two bags during the promotion cost = $5.99

The decrease in price can be calculated as well  =  $8 - $5.99 = $2.01

Percentage decrease = ($2.01 /  $8) * 100 %

Percentage decrease = 25.1 %

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

y = 9 and x = -2

explanation:

equations given:

Before doing elimination, we need to make either x or y, similar.

( -2x - y = -5  ) * 4

-8x - 4y = - 20 ____equation 1        [ here i am making y similar ]

3x - 4y = -42 _____ equation 2

solving simultaneously:

 -8x - 4y = - 20

(-) 3x + 4y = +42

--------------------------------------

-11x = 22          

x =  \(\frac{-22}{-11}\)

x = -2

Find y:

3x - 4y = -42         [ replace -2 as x ]

3(-2) - 4y = -42

-6 - 4y = -42

-4y = -42 + 6

-4y = -36

y = 9

Answer:

7 scarves

Step-by-step explanation:

you divide 28 by 4

Answer:

Answer: 3 or 2 1/2 ethier is right

Step-by-step explanation:

The proportions of the adults who took the 1944 and recent surveys, which were total abstainers, are 0.380 and 0.33, respectively.

(a) Sample proportion for the 1944 survey is calculated as follows: From the 1100 adults surveyed, 418 indicated that they were total abstainers. Therefore, the sample proportion for the 1944 survey is calculated as follows:

p = 418/1100

p = 0.380
(b) Hypotheses:H0: The proportion of adults who abstain from alcohol is equal to 0.380.H1: The proportion of adults who abstain from alcohol is not equal to 0.380. Level of significance = α = 0.05. The test statistic: Z = (p - P) / sqrt [(PQ) / n]

Where: P = Proportion of adults who abstain from alcohol in the 1944 survey = 0.380, Q = 1 - P = 1 - 0.380 = 0.620

p = Proportion of adults who abstain from alcohol in the recent survey = 0.330 n = Total number of adults surveyed = 1100Substituting the values into the equation:

Z = (0.330 - 0.380) / sqrt [(0.380 x 0.620) / 1100]

Z = -2.413

Suppose the calculated Z-value is less than -1.96 or greater than +1.96. In that case, we reject the null hypothesis H0 at α = 0.05 level of significance and conclude that there is a significant difference in the proportion of adults who abstain from alcohol between the two surveys.

At α = 0.05 level of significance, the critical value is ±1.96. Since the calculated Z-value (-2.413) is less than -1.96, we reject the null hypothesis H0 at α = 0.05 significance level. Therefore, there is sufficient evidence to conclude that the proportion of adults who abstain from alcohol has changed between the two surveys.

The sample proportion for the 1944 survey is calculated as follows:

p = 418/1100

p = 0.380

The sample proportion for the recent survey is calculated as follows:

p = 363/1100

p = 0.330.

Therefore, the proportions of adults who took the 1944 and recent surveys, total abstainers, are 0.380 and 0.330, respectively. (Round to three decimal places as needed.

At α = 0.05 level of significance, the critical value is ±1.96. Since the calculated Z-value (-2.413) is less than -1.96, we reject the null hypothesis H0 at α = 0.05 significance level. Therefore, there is sufficient evidence to conclude that the proportion of adults who abstain from alcohol has changed between the two surveys.

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(a)The sample proportion for the 1944 survey is approximately 0.380, and for the recent survey, it is approximately 0.330.(b) The proportion of adults who totally abstain from alcohol has changed at the 0.05 level of significance. Therefore, based on the given data and the hypothesis test, there is evidence to suggest that the proportion of adults who totally abstain from alcohol has changed.

(a) To determine the sample proportion for each sample, we divide the number of total abstainers by the total number of adults surveyed.

For the 1944 survey:

Sample proportion = Number of total abstainers / Total number of adults surveyed

Sample proportion = 418 / 1100

Sample proportion ≈ 0.380 (rounded to three decimal places)

For the recent survey:

Sample proportion = Number of total abstainers / Total number of adults surveyed

Sample proportion = 363 / 1100

Sample proportion ≈ 0.330 (rounded to three decimal places)

The sample proportion for the 1944 survey is approximately 0.380, and for the recent survey, it is approximately 0.330.

(b) To determine if the proportion of adults who totally abstain from alcohol has changed, we can perform a hypothesis test. We can use the chi-square test for proportions to compare the two sample proportions.

The null hypothesis (H_(0)) is that there is no difference in the proportion of adults who totally abstain from alcohol between the two surveys.

The alternative hypothesis (H_(a)) is that there is a difference in the proportion of adults who totally abstain from alcohol between the two surveys.

Using the chi-square test for proportions, we can calculate the test statistic and compare it to the critical value at a significance level of 0.05.

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the proportion has changed. Otherwise, if the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that the proportion has not changed.

Since we do not have information about the observed frequencies in each category, we cannot calculate the test statistic directly. However, we can compare the sample proportions using a normal approximation.

The test statistic can be calculated as follows:

z = (p_(1) - p_(2)) / (\sqrt((p × (1 - p)) × ((1 / n_(1)) + (1 / n_(2)))))

Where:

p_(1) = Sample proportion for the 1944 survey

p_(2) = Sample proportion for the recent survey

p = Pooled proportion ([(p_(1) × n_(1)) + (p_(2) × n_(2))] / [n_(1) + n_(2)])

n_(1) = Sample size for the 1944 survey

n_(2) = Sample size for the recent survey

Using the provided values:

p_(1) = 0.380

p_(2) = 0.330

n_(1) = 1100

n_(2) = 1100

Let's calculate the test statistic:

p = [(p_(1) × n_(1)) + (p_(2) × n_(2))] / [n_(1) + n_(2)]

= [(0.380 × 1100) + (0.330 × 1100)] / (1100 + 1100)

= (418 + 363) / 2200

≈ 0.377 (rounded to three decimal places)

z = (p_(1) - p_(2)) / (\sqrt((p × (1 - p)) × ((1 / n_(1)) + (1 / n_(2)))))

= (0.380 - 0.330) / (\sqrt((0.377 × (1 - 0.377)) × ((1 / 1100) + (1 / 1100))))

≈ 2.639 (rounded to three decimal places)

Using a significance level of 0.05, we can compare the test statistic to the critical value from the standard normal distribution. The critical value for a two-tailed test with a significance level of 0.05 is approximately ±1.96. Since the test statistic (2.639) is greater than the critical value ( (1.96), we reject the null hypothesis. We conclude that the proportion of adults who totally abstain from alcohol has changed at the 0.05 level of significance.

Therefore, based on the given data and the hypothesis test, there is evidence to suggest that the proportion of adults who totally abstain from alcohol has changed.

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Answer:

b+7

Step-by-step explanation:

To simplify an equation, you combine like terms and remove redundancies. Like terms are 4b and 3b, another pair of like terms are 9 and 2. Let's combine them. 4-3 is 1, so we can make the equation into 1b+9-2. We can simplify that to b+9-2. But wait, we can combine 9 and 2. 9-2 is 7, so the final simplified equation is b+7. I hope this helps!

answer: 16 plates

I apologize if this is an incorrect answer,however, I believe that the fraction was added to throw you off. so if you divide the number of bowls you get 2 and then you multiply 8 by 2

If you spend all your money just on plates. Then the number of plates that you can buy will be 20.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls.

Let 'x' be the cost of each bowl, 'y' be the cost of each plate, and 'T' be the total amount of money. Then the equations are given as,

3x + 8y = (3/5) T          ...1

6x = (2/5) T

x = (1/15) T                 ...2

From equations 1 and 2, then the cost of each plate is calculated as,

3(1/15)T + 8y = (3/5)T

8y = 2/5

y = (1/20)T

If you spend all your money just on plates. Then the number of plates that you can buy will be given as,

⇒ T / (T / 20)

⇒ 20

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Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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Answer:

a - 8.1 g/cm³

Step-by-step explanation:

since its 2.7g/cm³ for each 1g sample, you would multiply 2.7 by 3, because thats your sample amount. (sorry for the bad explanation haha)

Answer:

30 inches

Step-by-step explanation:

Length of road A = 1¼ miles

Length of road A on map = 1½ inches

Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile

Length big Road B on map:

Road B actual length = 10 miles

Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:

⁶/5 × 10 = 6*5 = 30 inches

Road B is 30 inches long on the map.

Answer:

you're answer would be d

Answer:

D. All of the above

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain of a function is given by the set of x-values (Input values) on the graph.

Range of a function is given by the set of y-values (output values) on the graph.

From the graph attached,

Set of time will represent the "domain" and set of snowfall will represent the "range" of the function graphed.

a). Domain of the function: 0 ≤ x ≤ 5

b). Range of the function: 0 ≤ y ≤ 10

Answer:

Yes u did thats what i did too XD

Hello !

\(a - (a - b) - b - (b - a)\\\\= a - a + b - b - b+a\\\\\boxed{= a - b}\)

Answer:

Step-by-step explanation:

a - ( a - b ) - b - ( b - a )

= a - a + b - b - b + a

= a - b

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

486

Step-by-step explanation:

Answer:

the image should be the same size as the reflection

The mandatory orientation and size of the triangle image did not match with the former triangle ABC.

Given that,
Lin tried to reflect triangle ABC across line t. She knows something went wrong because the image isn’t congruent with the original figure.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The given triangle is ABC,
Lin has to form the image of the reflection of the triangle ABC across the line t. Since the observation shows that the image formed by Lin is oriented and enlarged and does not seems to be congruent with the former triangle.

Thus, the mandatory orientation and size of the triangle image did not match the former triangle ABC.

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Answer:

C) 23

Step-by-step explanation:

If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.

Let a = the width, let b= the height, let c = the diagonal.

a^2 + b^2 = c^2

20^2 +12^2 =c^2

400 + 144 = c^2

544 = c^2

C is approximately equal to 23 inches.

Let me know if this helps!

Answer:

c.

Step-by-step explanation:

The two triangles are similar as they have the same angles, though not necessarily the same sides. ASA only applies to congruency.

The function h(x)=x³−6x²−15x+10 is increasing for the interval x<−1 and  x>5, and decreasing for the interval  −1<x<5.

To determine the intervals where the function h(x)=x³−6x²−15x+10 is increasing or decreasing, we need to analyze its derivative.

Lets derivate the function h(x) with respect to x.

h'(x)=3x²-12x-15

To find the critical points, we set h'(x)=0.

3x²-12x-15=0

This quadratic equation can be factored as:

(x-5)(3x+3)=0

So, the critical points are x=5 and x=-1.

To determine the intervals where h(x) is increasing or decreasing, we can test the sign of h ′ (x) in different intervals.

For Interval 1,  x<-1.

Choose a value in this interval, such as x=-2.

Substituting  x=−2 into h ′ (x):

h'(-2)=21

Since h ′ (−2)=21>0, the function h(x) is increasing in Interval 1.

For Interval 2:  −1<x<5

Choose a value in this interval, such as x=0.

Substituting x=0 into h ′ (x):

h'(0)=-15<0

Since h ′ (0)=-15<0, the function h(x) is decreasing in Interval 2.

For Interval 3: x>5

Choose a value in this interval, such as  x=6.

Substituting x=6 into h ′ (x):

h'(x)=21

Since  h ′ (6)=21>0, the function h(x) is increasing in Interval 3.

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An inequality that would show the statement of a quantity y that is greater than or equal to -1/4 and less than 2/3 is -1/4 ≤ y < 2/3.

The value of y has to be such that on the left side, it is greater than or equal to -1/4.

This would look like:

-1/4 ≤ y

On the right side, y is to be less than 2/3 which means that it would look like:

y < 2/3

Putting them together gives the inequality of:

2/3 is -1/4 ≤ y < 2/3

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The height of the prism is 6m

From the information given, we have that;

The formula for calculating the volume of  a triangular prism is expressed as;

V = Bh

such that the parameters of the formula are;

Now, substitute the value, we have;

72 = 12(h)

Divide both sides by the coefficient of the variable, we get;

h = 72/12

h =6 m

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Answer:

16

Step-by-step explanation:

its an ocosilse triangle cause of the 1 apat distance so 16 is the anser

Answer:

the 3rd angel is 120

the two exterior angels can be, 60 and 152

Step-by-step explanation:

the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.

the exterior angel is gained by adding two nonadjacent angles or the remote angels.

Answer:yes?

Step-by-step explanation:

it has #s in it lol

Answer:

no it isnt

Step-by-step explanation:

Hey there!

Assuming you meant:

5^3

IF SO, LETS SOLVE FOR IT!

5^3

= 5 * 5 * 5

= 25 * 5

= 25 + 25 + 25 + 25 + 25

= 50 + 50 + 25

= 100 + 25

= 125

Therefore, your answer is mostly likely:

125

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

GRAPH OF 3x + y = 3 (written on attachment)

GRAPH OF 2y = 10 - 6x (written on attachment)

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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The one less function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.

To define a function named "one less" that receives an int argument and returns an int that is one less than the value of the argument, you can write:

```
def oneless(num: int) -> int:
   return num - 1
```

This function takes an integer argument "num" and returns the result of subtracting 1 from it. So if you call the function with the argument 7, it will return 6, and if you call it with argument 44, it will return 43.
The oneless function is defined as a function that accepts an integer argument and returns an integer value, which is one less than the input argument. For example, if the input is 7, the function returns 6, and if the input is 44, the function returns 43.

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The parametric equations for the line are:

x = -4 + t

y = 2 + 2t

z = 3 + xt where t is the parameter that represents the position along the line.

To find the parametric equations for the line through the point (-4, 2, 3) and parallel to the line with direction vector (1, 2, x), we can use the following approach:

Let's denote the parametric equations as:

x = x₀ + at

y = y₀ + bt

z = z₀ + ct

We know that the line is parallel to the vector (1, 2, x). Since the line is parallel, the direction ratios (a, b, c) will be the same as the direction ratios of the given vector.

So, we have:

a = 1

b = 2

c = x

Now, we need to determine the initial point (x₀, y₀, z₀) on the line. Since the line passes through (-4, 2, 3), we can assign these values as the initial point:

x₀ = -4

y₀ = 2

z₀ = 3

Therefore, the parametric equations for the line are:

x = -4 + t

y = 2 + 2t

z = 3 + xt

where t is the parameter that represents the position along the line.

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