A tanker truck carrying fuel initially contains 100L. More fuel is added to the tank before it goes across Canada. Every 6 minutes, 1620 L are added into the tank. A)Independent variable (x) -

b) Dependent variable (y) -

c) What is the rate of change for this linear relationship?

Answer:

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The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Let the given values be

\(\mu\) = 99, \($\sigma\) = 8

Let x be the random variable that represents the life of a computer.

Sample size: n = 69

Then, the z-score corresponds to x = 97.94 will be :-

\($z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$\)

z = -1.10062

Required probability ( using standard z-value table ) :-

P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)

= 1 - 0.1170 = 0.883

Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

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Answer:

q = -8

Explanation:

Given the equation:

First, subtract 7 from both sides.

Next, multiply both sides by 4.

The value of q is -8.

According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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(3x10) + (4x1) = 34

(4x10) + (3x1) = 43

There are three tens in 34 and 4 tens in 43, and there are 4 ones in 34 and 3 ones in 43

Mark as Brainllest

Answer:

-5

Step-by-step explanation:

First, we can plug all the given values into the equation y=mx+b. This is called slope-intercept form. m is the slope and b is the y-intercept. To find the y-intercept, we solve for b.

y=mx+b

1=2(3)+b

1=6+b

Subtract both sides by 6

1-6=6+b-6

-5=b

Therefore, the y-intercept is -5.

Answer: x=15°

Step-by-step explanation:

∠C = 2x + 20    ∠D = 50°

line segment AB ≅ line segment CD

line segment AC ≅ line segment BD ∴

∠A = ∠B = ∠C = ∠D  and  2x+ 20° = 50°

subtract 20° from both sides of equal sign

2x = 30° now divide both sides by 2 to find value of x

x = 15°

D (48) on edge 2020

Explaination- Why do i have to have an explaination to a correct answer when i can just give the answer

Answer:

D

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

The equation which can be used to find the amount of time Hiroshi spends on his math homework is 1/4(x + 30 + 60) = x

According to the question,

Let total time Hiroshi spent on his homework be "y"

Total time spent on history homework = 30 minutes

Total time spent on English homework = 60 minutes

It is given that the time spent on math homework is x

and Also that One fourth of his total homework time is spent on math

=> x = 1/4y

=> 4x = y ----------(1)

Also , Sum of time taken in different homework will be equal total time y

=> 30 + 60 + x = y --------(2)

Substituting the values of x from equation (1) in equation (2)

=> 30 + 60 + x = 4x

divide by 4

=> 1/4(x + 30 + 60) = x is equation

=> x + 30 + 60 = 4x

=> 3x = 90

=> x = 90/3

=> x = 30 minutes

Total time taken in doing homework is 120 minutes

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Answer: 88?

Step-by-step explanation: because if 7 = 77 8 must be "88"

Answer:

1548.7 in³

Step-by-step explanation:

Given that :

Volume of ball = 524 in³

Volume of a cube = s³

Where, s = 12.75 inches

Volume of cube = 12.75 * 12.75 * 12.75 = 2072.671875 in³

The volume of air inside the cube :

(volume of cube - volume of ball)

(2072.671875 - 524) in³

= 1548.671875 in³

= 1548.7 in³ (nearest tenth)

The perimeter of the red rectangular tile is approximately 28.66 inches.

Since the blue and red rectangular tiles are similar, their corresponding sides are proportional. Let's find the scale factor between them.

The blue tile has a perimeter of 30 inches and a length of 10 inches. We know that the perimeter of a rectangle is the sum of all its sides, so we can write:

30 = 2L + 2W

where L is the length and W is the width. Since we have a rectangular tile, we know that L = 10 and we can solve for W:

30 = 2(10) + 2W
30 = 20 + 2W
10 = 2W
W = 5

So the blue tile has a width of 5 inches. Now we can find the scale factor between the blue and red tiles:

scale factor = length of blue tile / length of red tile
scale factor = 10 / 6
scale factor = 5/3

This means that the corresponding sides of the red tile are 5/3 times smaller than the corresponding sides of the blue tile. So if the blue tile has a width of 5 inches, the red tile has a width of:

width of red tile = (5/3) * (width of blue tile)
width of red tile = (5/3) * 5
width of red tile = 8.33 inches (rounded to two decimal places)

Now we can find the perimeter of the red tile:

perimeter of red tile = 2L + 2W
perimeter of red tile = 2(6) + 2(8.33)
perimeter of red tile = 12 + 16.66
perimeter of red tile = 28.66 inches (rounded to two decimal places)

So the perimeter of the red rectangular tile is approximately 28.66 inches.

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The slope, rise over run, or change in over the change in of a line determines its rate of change. A graph's slope triangle or two points in a table can be used to compute the slope.

How far is it between the two locations?

By calculating the sum of the absolute values of the y-coordinates, you may determine the distance between two places in different quadrants with the same x-coordinates.

What does a line's slope indicate?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Describe slope using an example?

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a) Using an even value of k in the k-NN classifier can lead to ties in the decision-making process.

b) The emergence of Bayesian Belief Network is driven by the need for probabilistic models to represent uncertain knowledge and make inferences.

c) Scaling is necessary in k-NN to ensure that features with larger ranges do not dominate the distance calculation.

d) The mathematical relation between Manhattan distance and Euclidean distance is given by Manhattan distance = √(Euclidean distance).

e) A dendrogram is not applicable in K-means clustering algorithm because it does not provide a hierarchical representation of the clusters.

f) Minimum spanning tree (MST) is appropriate for divisive hierarchical clustering as it allows for a step-by-step division of clusters based on the minimum dissimilarity.

g) The size of the proximity matrix can be reduced from m^2 to about m^2/2 for symmetric distance measures.

h) Matching each transaction against every candidate is computationally expensive in brute-force approach due to the high number of comparisons required.

i) The mathematical relation between k (from k-itemset) and w (maximum transaction width) depends on the specific problem or algorithm being used.

j) The possible subsets of size 3 in a transaction t of n items can be calculated using the combination formula: C(n, 3) = n! / (3! * (n-3)!).

k) The total number of possible association rules in brute-force approach with d = 3 items can be calculated as 3^2 - 3 = 6 using the formula 2^(d^2) - d.

Using an even value of k in the k-NN classifier can lead to ties in the decision-making process. When k is even, there is a possibility of having an equal number of neighbors from different classes, resulting in ambiguity in assigning the class label.

The Bayesian Belief Network has emerged as a solution to represent uncertain knowledge and make inferences. It utilizes probabilistic models and graphical structures to capture the dependencies and conditional relationships between variables, allowing for reasoning under uncertainty.

Scaling is necessary in k-NN to ensure fair comparison between features with different ranges. Without scaling, features with larger numerical values would dominate the distance calculation and potentially bias the classification process.

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Answer:

what is question of this you asked

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

maximum voltage = 121.5 volts

voltage read = 127.36 volts

Step 02:

127.36 volts - 121.5 volts = 5.86 volts

The answer is:

5.86 volts

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Took the test

Answer:

it’s f(x)=135cos(34 pi t)+262

Step-by-step explanation:

got it right on edge

The function represents the height, in feet, of the tip of this blade after t minutes is h = 135sin(π3.5t)+262. Then the correct option is A.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B- The initial height of the blade above the ground.

A- The amplitude of the length of the blade.

x - period.

The initial height is 262 ft, therefore, B = 262ft. The amplitude of the length of the blade is 135ft. Therefore, A = 135.

The period is two rotations every minute, therefore the period should be:-

x =60/17

x = 3.5π

Finally, the equation that can be used to model h is:

h = 135sin(π3.5t)+262

Hence, the correct option is A.

The complete options are given below:-

A. h = 135sin(π3.5t)+262

B. h = 262sin(π3.5t)+135

C. h = 3.5sin(π262t)+135

D. h = 135sin(π262t)+ 3.5

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The Moon is a natural satellite of the Earth and it takes approximately 27.3 days to complete one rotation around its own axis.

The day and night cycles on the Moon are longer than those on Earth.

The reason for this difference in the length of day and night cycles is due to the Moon's synchronous rotation means that it takes the same amount of time for the Moon to complete one rotation around its own axis as it takes to complete one orbit around the Earth.

The synchronous rotation of the Moon is a result of the gravitational forces between the Earth and the Moon.

These forces have caused the Moon's rotation to gradually slow down over time, until it became synchronized with its orbit around the Earth.

As a result, the same side of the Moon always faces the Earth and the other side is permanently hidden from view.

The longer day and night cycles on the Moon have important implications for the lunar environment.

The extreme temperature variations between the day and night sides of the Moon make it a challenging environment for human exploration.

The daytime temperatures on the Moon can reach up to 127°C (261°F), while the nighttime temperatures can drop to -173°C (-280°F).

The Moon's day and night cycles are longer than those on Earth due to its synchronous rotation with its orbit around the Earth.

This unique phenomenon has important implications for the lunar environment and presents challenges for human exploration of the Moon.

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To classify a quadrilateral by its sides, we need to calculate the distance between each pair of its vertices.

The distance between Q and R is the square root of ((1-(-2))^2 + (5-(-1))^2) = square root of (3^2 + 6^2) = square root of (9+36) = square root of 45 = 6.7

The distance between R and T is the square root of ((-8-1)^2 + (-4-5)^2) = square root of (9+81) = square root of 90 = 9.5

The distance between Q and T is the square root of ((-8+2)^2 + (-4+1)^2) = square root of (10+5) = square root of 15 = 3.87

If the quadrilateral is a rectangle, two sides of it have to be equal, so in this case, AQRT is not a rectangle.

If the quadrilateral is a rhombus, all four sides have to be equal, so in this case, AQRT is not a rhombus.

If the quadrilateral is a square, all four sides have to be equal, so in this case, AQRT is not a square.

If the quadrilateral is a trapezoid, two adjacent sides are parallel, so in this case, AQRT is not a trapezoid.

If the quadrilateral is a parallelogram, two pairs of opposite sides are parallel, so in this case, AQRT is not a parallelogram.

If the quadrilateral is a kite, two pairs of sides have the same length, so in this case, AQRT is not a kite.

So the only possible classification is that AQRT is a general quadrilateral.

so we have:

QR = 6.7

RT = 9.5

QT = 3.87

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

To find the pooled sample variance of the two samples from populations A and B, follow these steps,

1. Calculate the weighted variance for each sample:
  - For sample A: (Sample size A - 1) * Sample variance A = (18 - 1) * 8490 = 17 * 8490 = 144,330
  - For sample B: (Sample size B - 1) * Sample variance B = (21 - 1) * 6330 = 20 * 6330 = 126,600

2. Calculate the total degrees of freedom:
  - Total degrees of freedom = (Sample size A - 1) + (Sample size B - 1) = 17 + 20 = 37

3. Calculate the pooled sample variance:
  - Pooled sample variance = (Weighted variance A + Weighted variance B) / Total degrees of freedom = (144,330 + 126,600) / 37 ≈ 7,316.22

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

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Answer:

C. 244,596 gal

Step-by-step explanation:

To determine the number of gallons of water that a swimming pool holds, you can use the following formula:

gallons = cubic feet * 7.48

Plugging in the given volume of 32,700 cubic feet, you get:

gallons = 32,700 cubic feet * 7.48

= 244,596 gal

Therefore, the swimming pool holds approximately 244,596 gallons of water.

Answer:

49

Step-by-step explanation:

cos(x)=31/47

x=cos^-1 (31/47)

Step-by-step explanation:

use the law of cosine for right triangles cos(θ)= adjacent/ hypotenuse

cos(θ)=31/47=.659

θ=inverse cosine of .659

θ=48.73

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

Step-by-step explanation:

x/4 - 3 = 0

x/4 = 3

x = 12

Answer:

12

Step-by-step explanation:

x/4-3 =0 /×4

x - 12 =0

x=12

Answer: yes

Step-by-step explanation:

good job

To solve for x and y, we would need additional information, such as the length of one of the sides of the parallelogram or the measure of one of the angles.

Without this information, there are multiple possibilities for the values of x and y that could form a parallelogram. Therefore, the answer is none of the given options.

To better understand why additional information is needed, consider that a parallelogram has two pairs of parallel sides. This means that opposite sides are congruent and parallel to each other.

Without knowing the length of any of the sides or the measure of any of the angles, we cannot determine the lengths of the diagonals or the relationship between x and y.

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Answer:

D

Step-by-step explanation:

D. The y-coordinates of the new trapezoid is not the same as the y-coordinates of the original trapezoid.

In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:

When a trapezoid is translated 8 units down, all of its points will move down 8 units, which means the y-coordinates of each point will decrease by 8.

Therefore, the y-coordinates of the new trapezoid will be different from the y-coordinates of the original trapezoid.

However, A, B, and C are all true statements.

The new trapezoid will have the same orientation (the same angles between its sides), the same shape (the same ratio of the lengths of its sides), and the same size (the same area).

The only difference is that the new trapezoid will be shifted down by 8 units.

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