Multiply 1 2/5 by 5 then add 1 2/5.

Step-by-step explanation:

We learn math to expand the memory and learn it just in case you need it later on. You will not always have your phone on you so you can't always have a calculator. We learn math that we don't need because it helps us learn other problems just in cause and open you up to new jobs.

Answer:

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

Step-by-step explanation:

Answer:

1 and 8 alternate exterior angles

4 and 5 - alternate interior angles

6 and 7 - vertical angles

4 and 8 - corresponding angles

3 and 5 - consecutive interior angles

1 and 2 - linear pair

Step-by-step explanation:

Therefore, the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y = 0, x = 0, and x = 1 about the line x = 2 is (5/6)π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, we use the method of cylindrical shells. The formula for the volume of a cylindrical shell is given as,
Volume = 2πrh * Δx

Where, r is the distance of the shell from the axis of rotation, h is the height of the shell, and Δx is the thickness of the shell. The factor 2π accounts for the entire circumference of the shell.
Example problem: Find the volume of the solid generated by rotating the region bounded by the curves y = x^2, y = 0, x = 0, and x = 1 about the line x = 2.
Solution:
Step 1: Draw the graph of the region to be rotated
Step 2: Identify the shell radius and height
For a shell at position x, the radius is given by r = 2 - x (the distance of the line x = 2 from the axis of rotation)
The height of the shell is given by h = x^2 (the difference between the top and bottom curves)
Step 3: Write the volume formula
Volume = 2πrh * Δx
Step 4: Integrate to find the total volume
The limits of integration are from 0 to 1 since the curves intersect at (0,0) and (1,1).
\(∫ 2π(2 - x)(x^2) dx from 0 to 1\)
= \(2π [∫ 2x^2 - x^3 dx from 0 to 1]\)
= \(2π [(2/3) - (1/4)]\)
= 2π [5/12]\(2π [5/12]\)
= (5/6)π cubic units
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a. Phoebe's car has the greater acceleration at first.

b. The maximum distance by which the other car was ahead was approximately 0.69 feet

c. The maximum difference in velocities does not occur at the same time as the maximum distance the two cars are apart.

d. The car that was ahead at first (Calvin's car) does not regain the lead.

Acceleration is the rate at which an object changes its velocity. In other words, it's the amount of change in velocity per unit of time. The standard unit of acceleration is meters per second squared (m/s²).

a Since \(e^{t}\) is always positive and increasing, while 3\(t^{2}\) is positive but increasing at a slower rate, we can conclude that Phoebe's car has the greater acceleration at first.

b We can do this by taking the derivative of the difference and setting it equal to zero:

(su(t) - sp(t))' = 3\(t^{2}\) - \(e^{t}\) = 0

Solving for t, we get t ≈ 0.85 seconds. Plugging this value back into the distance functions, we find that at this time Phoebe was ahead of Calvin by approximately 0.69 feet.

c. The maximum difference in velocities does not occur at the same time as the maximum distance the two cars are apart.

d. Yes, the car that was ahead at first does eventually regain the lead, since both cars have unbounded distance functions.

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Answer:

its C

Step-by-step explanation:

Answer:

$85000

Step-by-step explanation:

Answer: The answer is $85,000

Step-by-step explanation: Basically, you have to divide -3,400 on both sides. So 85,000 ÷ -3,400 = -25. Now, you have to substitute x, which is -25. -3,400 x -25 = 85,000. Hope this helps!! :)

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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Note that the probability that a combined sample tests positive is 0.67232 or 67.232%.

Let P(pos) be the probability that an individual sample tests positive.

We know P(pos) = 0.2,

so the probability that an individual sample tests negative is:

P(neg) = 1 - P(pos) = 0.8.

Let P(combined_neg) be the probability that a combined sample tests negative (i.e., all five component samples are negative).

Since the component samples are independent, we can calculate

P(combined_neg) as the product of their individual probabilities:

P(combined_neg) = P(neg) x P(neg) x P(neg) x P(neg) x P(neg)

= 0.8⁵
= 0.32768

Therefore, the probability that a combined sample tests positive (i.e., at least one of the five component samples tests positive) is:

P(combined_pos) = 1 - P(combined_neg)

= 1 - 0.32768

P(combined_pos) = 0.67232

Thus, the probability that a combined sample tests positive is 0.67232 or 67.232%.

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The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.

Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.

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Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

Step-by-step explanation:

the break down probabilities are for the same given day ? one day ?

if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).

that would be horrible. a tractor would only work for about a month without major repair.

because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.

but the description does not say anything about that. so, we have to go with the primary assumption.

so, the question is about the probability that both things happen at the same time (the same day).

this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36

5% = 0.05 (5% is 5 hundredths) = 5/100

3% = 0.03 (3% is 3 hundredths) = 3/100

now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015

that means the probability in % is 0.15%

that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).

Answer:

qss-qvcj-kwr join guys iam bored

Answer:

You're wrong, it's the bottom left

Step-by-step explanation:

x^2-49 is a difference of squares so it factors into (x+7)(x-7) which obviously cancels out with the denominator leaving x-7 left. This is the line you should graph, but keep in that x+7 is still in the denominator so x cannot be equal to -7 which means that this point should be be on the line which leaves the answer to be the one on the bottom left.

On solving the provided question, we can say that the new equation will be as  yx+2.3x = 4 + 3y

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

m is x = 5, the equation of line n is y = 4, and the equation of line p is x = 3.

the new equation will be as

yx+2.3x = 4 + 3y

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In summary, we are asked to determine the number of independent parameters in a Naive Bayes classifier. The Naive Bayes classifier is a probabilistic machine learning model that assumes independence between features given the class label.

To calculate the number of independent parameters, we need to consider the number of features and the number of classes in the dataset. For each feature, the classifier estimates the conditional probability of that feature given each class. . Therefore, the total number of independent parameters in the Naive Bayes classifier can be calculated by multiplying the number of features by the number of classes, and then multiplying the result by the number of possible values for each feature. For example, if we have m features, k classes, and n possible values for each feature, the total number of independent parameters would be m k n. Each independent parameter represents a specific conditional probability value in the Naive Bayes model. It's important to note that the Naive Bayes assumption of feature independence simplifies the model and reduces the number of parameters required for training. However, it also introduces a limitation in cases where the features are not truly independent.

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Answer: $8

Step-by-step explanation: $120+10%=$132. $140-$132=$8.

Answer:

3:9=2:6

Step-by-step explanation:

(9×2)/3=18/3=6

Answer:

3 : 9 = 2 : 6

Answer:

1. RQ

2. R, Y and V

3. T

4. No

Step-by-step explanation:

If we imagine a plane as a rectangle, we can easily see that planes RSTQ and RVUQ intersect in line RQ. Basically, if two planes intersect each other, that intersection is always a line.

Collinear points lie on the same line. Every two points make a line, so the third one also needs to lie along that line. On the diagram, R, Y and V are the only three points on the same line.

From the diagram, we can infer that QT and TX intersect in point T. Additionally, every two lines intersect in a point (of course, unless they're parallel).

Coplanar points lie in the same plane. Three points are enough to define a plane. Whichever three points (R, Q, W and U) we choose we'll have a plane, but the fourth point won't lie in it. This means they are not coplanar.

Answer:

Step-by-step explanation:

The function in vertex form is:

i) y = f(x) - 2 = (x - 1)² - 3 - 2 = (x - 1)² - 5 ⇒ h = 1, k = -5

Minimum point:

ii) y = f(2x) = (2x - 1)² - 3 = 4(x - 1/2)² - 3 ⇒ h = 1/2, k = -3

Minimum point:

iii) y = 3f(x) = 3((x - 1)² - 3) = 3(x - 1)² - 9 ⇒ h = 1, k = -9

Minimum point:

The variable X has a binomial distribution when the cards are drawn with replacement.

A binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success. In the given scenario, we have 10 cards with numbers from 1 to 10, and we are interested in the variable X, which represents the number of successes (or the number of times a specific number appears) in a fixed number of trials.

To have a binomial distribution, two conditions must be met:

1. The trials must be independent: Each card drawn is independent of the others, meaning that drawing one card does not affect the probability of drawing another card.

2. The probability of success must be the same for each trial: In this case, the probability of drawing a specific number from the 10 cards is 1/10 since each card has a different number.

In the given scenario, if the cards are drawn with replacement (i.e., after drawing a card, it is put back into the set before the next draw), both conditions are satisfied. Each draw is independent, and the probability of drawing a specific number remains the same for each trial.

Therefore, when the cards are drawn with replacement, the variable X, representing the number of times a specific number appears, follows a binomial distribution.

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Therefore, the standard error of the sample proportion of football players is approximately 0.0113.

The standard error of the sample proportion can be calculated using the formula:

Standard Error = √((p * (1 - p)) / n),

where:

p is the sample proportion of football players (15/100 = 0.15),

n is the sample size (100).

Substituting the values into the formula, we get:

Standard Error = √((0.15 * (1 - 0.15)) / 100)

= √((0.15 * 0.85) / 100)

= √(0.01275 / 100)

= √(0.0001275)

≈ 0.0113 (rounded to four decimal places).

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The part of the z-score denoting hundredths is found in the interior of the table.

In a standard normal distribution table, also known as a z-table, the z-scores are presented with two parts: the tenths and the hundredths. The tenths are found in the row headings (or sometimes column headings) on the edges of the table, while the hundredths are located in the columns within the interior of the table.

To find a specific z-score in a z-table, first identify the tenths value in the row headings, and then locate the corresponding hundredths value in the columns of the same row. The intersection of the row and column will provide you with the desired probability associated with that particular z-score. The z-table helps in calculating the area under the curve in a standard normal distribution, which is essential for various statistical analyses and probability calculations.

Remember, the z-score is a measure of how far a data point is from the mean in terms of standard deviations. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.

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Answer:

(-3 , 4)

Step by step explanation:

1) 6x + 5y = 2

2) 5x + 4y = 1

we solve the first equation.

5y = 2 - 6x

y = (2 - 6x)/5

Then we replace Y in the second equation.

5x + 4*((2-6x)/ 5) = 1

5x + 8/5 - 24x/ 5 = 1

(8-24x)/5 + (5x*5)/5 = 1 * 5

(8-24x + 5x * 5)/ 5 = 5

8 - 24x + 25x = 5

8 + x = 5

X = -3

Then we replace x in the first equation.

(6*-3) + 5y = 2

-18 + 5y = 2

5y = 2 + 18

Y = 20/ 5

Y = 4

Answer:

4 gal / day

Step-by-step explanation:

12 gallons / 3 days

12/3 = 4

4 gallons / 1 day

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

The answer is: −8s

Hope this helps :)

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

40 - 200 = - 160

8 - 40 = - 32

no common difference thus not arithmetic

a geometric sequence has a common ratio r between consecutive terms

\(\frac{40}{200}\) = \(\frac{4}{20}\) = \(\frac{1}{5}\)

\(\frac{8}{40}\) = \(\frac{1}{5}\)

thus there is a common ratio so sequence is geometric

Given:

Triangles ABC and DEF are similar triangles.

AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y

To find:

The values of unknown sides, i.e., x and y.

Solution:

We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so

\(\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}\)

\(\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}\)

\(\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}\)

Now,

\(\dfrac{6}{x}=\dfrac{1}{2}\)

\(6\times 2=1\times x\)

\(12=x\)

Similarly,

\(\dfrac{1}{2}=\dfrac{15}{y}\)

\(1\times y=15\times 2\)

\(y=30\)

Therefore, the measure of unknown sides are x = 12 m and y = 30 m.

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

Answer: $103.88

Step-by-step explanation:

98*0.06=5.88 <--- total tax charged

98+5.88=103.88 <--- add tax to price