Find the equation of a line parallel to −5x−y=−4 that contains the point (3,−4). Provide your answer below:

The probability density of a random variable is given in the form of a triangular shape with co-ordinates (0, 0), (0.5, 2), (1, 0). The probability that X is at least 0.5 is equal to the area under the curve of X when x  0.5. Option (c) 1/2 is the correct answer.

Given, probability density of a random variable x is given in the following figure.The probability that x is at least 0.5 can be calculated as follows:

From the given graph, it is observed that the probability density of a random variable is given in the form of a triangular shape with the following co-ordinates (0, 0), (0.5, 2), (1, 0).The probability density function of a continuous random variable X is represented by the area under the curve.The probability that X is at least 0.5 is equal to the area under the curve of X when x ≥ 0.5.

The total area under the curve is given as follows:

Area of triangle OAB = 1/2 × OA × OB

= 1/2 × 0.5 × 2

= 0.5

The probability that X is at least 0.5 can be calculated as follows:

Area under the curve for X when x ≥ 0.5= Area of triangle OCD

= 1/2 × CD × OD

= 1/2 × (1 – 0.5) × (2 – 0)

= 0.5

The probability that X is at least 0.5 is 0.5 or 1/2. Therefore, option (c) 1/2 is the correct answer.

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The number of people who will be infected in 6 days, given the computer model on the rate of the spread of the virus is 1,299 people

The computer model predicts that the virus will spread and infect people at a rate of 10% every day. This is based on the 733 people currently infected.

In 6 days therefore, the number that would be infected is:

= Number of people currently infected x ( 1 + rate of infection) ^ number of days

= 733 x (1 + 10%)⁶

= 733x 1.10⁶

= 1,299 people

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Answer:

30

Step-by-step explanation:

\(75\%= \frac{75}{100}=\frac{15}{20} = \frac{3}{4}  \)

Answer:

Step-by-step explanation:

what are 3 ratios that are equivalent to 75%

75:100

15:20

3:4

6 miles , is the one additional step which Cecil must travel in order to return to starting point A . His move accord expression is

8+(-5)+7+6+(-7)+5+(-8)+6

Let Cecil start from a point A and move toward point B . His movement expression is

8+(-5)+7+6+(-7)+5+(-8)

A →8 <--5 →7→6<--7→5<--8 , here  shows forward steps and shows backward steps

A→8→7→6→5 (B)

Total distance travelled by Cecil from A to B = 26 miles

B→5→7→8

Total distance travelled by Cecil from B to A = 20 miles

Cecil wants to return to the starting point A ,so he must be travel same distance as travelled from A to B i.e. 26 miles .

But Cecil travel from B to A is 20 and not 26 . The difference between the distance travelled by Cecil is (A→B – B→A) = 26-20 = 6 miles

Hence, Cecil required travel distance is 6 miles to return his starting point A.

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Answer:

$76

Step-by-step explanation:

You multiply 80*0.05

Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

The main advantages of using a random forest versus a single decision tree is that Random forest algorithm avoids and prevents overfitting by using multiple trees.

Random forest replaces the data used to build the tree and also the explanatory variables are bootstrapped so that partition is not done on the same important variable whereas  decision trees do not follow this algorithm. Bootstrapping reduces bias and variance both which makes the model more robust and accurate.

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Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

The estimated percent of graduating high school seniors that plan to go directly to college with 99% confidence is 60.8% to 69.2%.

The estimated percent of graduating high school seniors that plan to go directly to college can be calculated using a confidence interval.

We have a sample of 640 graduating high school seniors, and out of those, 416 plan to go directly to college.

To estimate the percent with 99% confidence, we can use the formula for a confidence interval:

Confidence Interval = sample proportion ± (critical value * standard error)

The critical value depends on the desired confidence level and the sample size. For a 99% confidence level, the critical value can be obtained from the standard normal distribution table or using statistical software.

The standard error is calculated as the square root of (sample proportion * (1 - sample proportion) / sample size).

Once we have the confidence interval, we can express it as a percent rounded to one decimal place.

Explanation:

To calculate the confidence interval, we need to find the critical value corresponding to a 99% confidence level. For a large sample size like 640, we can use the standard normal distribution with a z-value of approximately 2.576 for a 99% confidence level.

Next, we calculate the standard error using the sample proportion of 416/640 = 0.65. The standard error is given by sqrt((0.65 * (1 - 0.65)) / 640) = 0.016.

Using the formula for the confidence interval, we have:

Confidence Interval = 0.65 ± (2.576 * 0.016)

Calculating the upper and lower limits of the confidence interval:

Lower Limit = 0.65 - (2.576 * 0.016) = 0.608

Upper Limit = 0.65 + (2.576 * 0.016) = 0.692

Therefore, the estimated percent of graduating high school seniors that plan to go directly to college with 99% confidence is 60.8% to 69.2%.

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Answer:

Step-by-step explanation:

8 - 5 = 3+7 = 10 Temperature

Answer:

Step-by-step explanation:

C. Explanation: 100+20=120

X=100

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer:

If a = 6, then a + a2 = 18.

Step-by-step explanation:

Plug in 6 for the a-variables to get this equation (6)+(6)2.  You should multiply 6 and 2 first to get 12 because of PEMDAS, then you should add 6 to get your final answer which is 18.

Answer:

2a³

Step-by-step explanation:

2a³ can divide all these without living a remainder

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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To apply the Gram-Schmidt process to find an orthonormal basis for the subspace W of R3, spanned by the given vectors, we can follow these steps:

Let v1 be the first vector in the basis for W.

Step 1: Normalize v1 to get the first vector in the orthonormal basis.

v1* = v1 / ||v1||, where ||v1|| is the magnitude or length of v1.

Step 2: Project the second vector v2 onto the subspace orthogonal to v1.

Let u2 = v2 - proj(v2, v1), where proj(v2, v1) is the projection of v2 onto v1.

Step 3: Normalize u2 to get the second vector in the orthonormal basis.

v2* = u2 / ||u2||, where ||u2|| is the magnitude or length of u2.

Step 4: Project the third vector v3 onto the subspace orthogonal to both v1 and v2.

Let u3 = v3 - proj(v3, v1) - proj(v3, v2), where proj(v3, v1) and proj(v3, v2) are the projections of v3 onto v1 and v2, respectively.

Step 5: Normalize u3 to get the third vector in the orthonormal basis.

v3* = u3 / ||u3||, where ||u3|| is the magnitude or length of u3.

The set {v1*, v2*, v3*} is an orthonormal basis for the subspace W.

Note that the choice of v1 affects the resulting orthonormal basis, but any choice of v1 that spans W will result in an orthonormal basis for W.

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The sample at option B, {0, 2} is not a part of the sample space of a spinner when spun two times.

The set consists of all the possible outcomes of an event called sample points, which is said to be a sample space.

It is given that,

a spinner has 5 sections of equal area and each section is numbered from 1 to 5.

If the spinner is spun two times, then the possible outcomes are 25. They are:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)}

So, from the given options, the sample {0, 2} is not possible since there is no such a section on the spinner named 0.

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Answer:

175 Euros

Step-by-step explanation:

25(7) = 175

25(5) = 125

175 + 125 = 300

Therefore , the solution of the given problem of complementary angles comes out to be 29° and 61° QED.

Two angles are considered complementary when their sum equals 90 degrees. Two angles are considered submissive when their sum equals 180 degrees. For example, the angles of 40 - 60 degrees complement one another. The difference between a supplementary angle and a supplementing angle is that a Triangle angle has two angles joined to produce a 90 degree angle. When two angles add up to 90 degrees, they are said to be complementary. Alternatively, the complementary angles result in a right angle (90 degrees).

Here,

Given :

Allow x to equal the complementary angle.

Given: x plus 32° the opposite angle

Recognized: Complementary angles sum to 90°

=>x + x + 32° = 90° (Adding the two angles) (Adding the two angles)

2x + 32° = 90° (adding the unknown factors) (adding the unknown variables)

=>2x = 90° - 32° (subtract 32 from both sides) (subtract 32 from both sides)

=> 2x = 58° (assess the right side) (evaluate the right side)

=>x = 29° (split both sides by 2) (divide both sides by 2) (One reply)

=> x + 32° = 61° (Add 32 to x) (Add 32 to x) (The other response)

There are two angles: 29° and 61° QED.

Therefore , the solution of the given problem of complementary angles comes out to be 29° and 61° QED.

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The complete question is "The measure of one angle is 32° greater than the measure of its complement. What are the measures of the angles?"

Answer: V = 28,600(0.909)^2

Step-by-step explanation: This is because the value of the car depreciates at a rate of 9.1% per year, which means that the value after the first year will be 0.909 times the original value, and the value after the second year will be 0.909 times the value after the first year. Therefore, we need to multiply the original value of the car by (0.909)^2 to find the value after 2 years.

Step-by-step explanation:

(x-4)(x-4)

or

(x-4)^2

Answer:

see below

Step-by-step explanation:

solve for y

y-4/x = a

Add 4x to each side

y-4/x+4/x = a+4x

y =  a+4x

If the equation is

(y-4)/x = a

Multiply each side by x

(y-4)/x *x = a*x

y-4 = ax

Add 4 to each side

y = ax+4

Answer:

y = a + 4/x

Step-by-step explanation:

-add 4/x to both sides: y - 4/x + 4/x = a + 4/x

- simplify: y = a + 4/x

Angles EBA and DBC are congruent. The three angles EBA, EBD, and DBC are together supplementary, so their measures sum to 180°. This means

x + (4x + 11°) + x = 180°

6x + 11° = 180°

6x = 169°

x = (169/6)°

Then the measure of angle D is

2x + 8° = 2 (169/6)° + 8° = (193/3)°

The interior angles of any triangle sum to 180°, so if y is the measure of angle C, we have

(169/6)° + (193/3)° + y = 180°

y = (175/2)° = 87.5°

The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle,

prove that the triangles are congruent using SSS or SAS?

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.

The rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

What is the Volume of a Sphere?

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a circular, three-dimensional form. Its form is determined by three axes: the x, y, and z axes. Sports like basketball and football are all instances of spheres with volume.

Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We may use the following formula to get the volume of a sphere whose radius is "r":

Here, In the question, It is given that:

Radius = 4inch.

Rate of increase = 569 cubic inches;

So, using the Volume of Sphere, formula:

\(\begin{aligned}v=\frac{4}{3} \pi r^3 \\\frac{d v}{d t} &=\frac{d}{d t}\left[\frac{4}{3} \pi r^3\right] \\&=\frac{4 \pi}{3}\left(3 r^2\right) \frac{d r}{d t} \\\frac{d v}{d t} &=4 \pi r^2 \frac{d r}{d t}\end{aligned}\)

\(\begin{aligned}&\frac{d r}{d t}=\frac{\frac{d v}{d t}}{4 \pi r^2}\\&\left.\frac{d r}{d t}=\frac{569}{(4 \pi)(4)^2}=\frac{d}{d t}_{r=4}^{d r^2}=569\right]\\&\frac{d v}{d t}=\frac{569}{64 \pi} \sim 2.83\end{aligned}\)

Hence,  the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

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