is y=-2x linear or non linear

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Applying exponent properties, it is found that there are 2^9 = 512 bacteria after 120 minutes.

We keep the base and add the exponents.

This is what happens in this problem, when we multiply 2^6 by 2^3, as follows:

\(2^6 \times 2^3 = 2^{6 + 3} = 2^9 = 512\)

Hence, there are 512 bacteria after 120 minutes.

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Answer:

for wat its worth i dont know realy

Answer:

4.1 + 5.2 = 9.3

distance can never be negative

Step-by-step explanation:

Answer:

The volume of the cereal box is 276.25 inches

Robert's rowing rate in still water is 8 miles per hour, and the speed of the current is 2 miles per hour.

Let's start by assuming that the rate of the current is c, and Robert's rowing rate in still water is r. As a result, the following equation can be used to determine the rate of travel downstream:24 = (r + c) × 3

This equation can be simplified by dividing both sides by 3 and then subtracting c from both sides, giving:8 - c = r

Then, to figure out Robert's speed upstream, we'll use the following equation:2r - 4c = 24

Multiplying the first equation by 2 and then subtracting it from the second equation yields:

2r - 4c

= 24 - 2r - 2c-4c

= -3r + 12-3r = -4c + 12

Dividing both sides by -3, we obtain

:r = (4c - 12)/3Substituting this into the first equation:

24 = (4c - 12)/3 + cMultiplying both sides by 3 and then simplifying:

72 = 4c - 12 + 3c7c

= 84c = 12Therefore, the rate of the current is 2 miles per hour, and Robert's rowing rate in still water is 8 miles per hour.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

Step-by-step explanation:

q+n=25

n=25-q

25q+5n=505, using n=25-q in this equation gives you

25q+5(25-q)=505

25q+125-5q=505

20q+125=505

20q=380

q=19

So 19 of the coins are quarters.

Answer:

John has 19 quarters out of 25 coins.

Step-by-step explanation:

Answer:

-40 ,12

Step-by-step explanation:

you will have to look for the factors of 480 that satisfy this condition and for this case , they're -40 and 12

Answer:

\(x=-\frac{41}{6}\)

Step-by-step explanation:

Pay attention to the two tick marks. This indicates that those sides are congruent to each other and so will the angles on the bottom and top. Therefore, we can set up the equation \(137+2(-3x+1)=180\) and solve for x:

\(137+2(-3x+1)=180\)

\(137+(-6x+2)=180\)

\(137-6x+2=180\)

\(139-6x=180\)

\(-6x=41\)

\(x=-\frac{41}{6}\)

The Total Proability will be 297 / 1015

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Total Number of Regular Soft Drinks = 18

Total Number of Diet Soft Drinks = 12

Total Drinks = 18 + 12 = 30

Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the first and last attempt = 12/30  * 18/29 * 11/28 = 2376 / 24360

Probability of selecting Diet Soft Drink in the second and last attempt = 18/30  * 12/29 * 11/28 = 2376 / 24360

Total Probability = 3 * 2376 / 24360

Total Probability = 2376 / 8120

Total Probability = 297 / 1015

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Answer:

parallelogram

Step-by-step explanation:

Answer:

12.9 cm

Step-by-step explanation:

area of full circle = 2 X 65.8 = 131.6cm².

131.6 = π r² = (3.14r²)

r² = 131.6/3.14 = 41.9108....

r = 6.47.

diameter = 2r = 12.94 = 12.9 cm to nearest tenth

Answer:

f(-1)=3

Step-by-step explanation:

plug in -1 for x

-(-1)+2

negative and negative make a positive 1+2=3

Answer: table C or 3

Step-by-step explanation:

If you graph it on paper then it creates a straight line, where the others do not.

a) The parameter of interest is the proportion of people 65 years or older in the United States.

b) The assumptions include the sample is random, the sample size is large and observations are independent.

c) The 90% confidence interval lie in (0.198, 0.51).

d) We are 90% confident that the true proportion of people 65 years or older lies between 0.198 and 0.51.

a) The parameter of interest is the proportion of people 65 years or older in the United States who have an active Netflix subscription.

b) The assumptions needed for constructing the appropriate confidence interval for the proportion include: 1) the sample is random, 2) the sample size is sufficiently large (at least 10 times the number of successes and failures), and 3) the observations are independent.

To check these assumptions, we need to verify that the sample is indeed random, and that the sample size is large enough. Since the sample size is 65 and the number of successes (i.e., those with an active Netflix subscription) is 23, we can assume that the sample size is sufficiently large.

Additionally, we assume that each person in the sample has an independent probability of having an active Netflix subscription.

c) To find a 90% confidence interval for the proportion of people 65 years or older in the United States with an active Netflix subscription, we can use the normal approximation to the binomial distribution. The formula for the confidence interval is:

p' ± z*(√(p'(1-p'))/n)

where p' is the sample proportion (23/65), z* is the critical value from the standard normal distribution corresponding to a 90% confidence level (1.645), and n is the sample size (65).

Plugging in the values, we get:

0.354 ± 1.645*(√(0.354*(1-0.354))/65)

This simplifies to:

(0.198, 0.51)

d) We are 90% confident that the true proportion of people 65 years or older in the United States with an active Netflix subscription lies between 0.198 and 0.51. This means that if we were to repeat this study many times and construct a 90% confidence interval for each study, we would expect that 90% of these intervals would contain the true proportion.

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When the shape being rotated has a hole or an empty region, we use slicing of washers to find the volume. If the shape is solid and without any holes, we use slicing of disks.

The volume of a cylindrical disk =

The term "cylindrical disk" is not commonly used in mathematics. Instead, we usually refer to a disk as a two-dimensional shape, while a cylinder refers to a three-dimensional shape.

Volume of a Cylinder:

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

To find the volume of a cylinder, we use the formula:

V = πr²h,

where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder.

Volume of a Disk:

A disk, on the other hand, is a two-dimensional shape that represents a perfect circle.

Since a disk does not have height or thickness, it does not have a volume. Instead, we can find the area of a disk using the formula:

A = πr²,

where A represents the area and r is the radius of the disk.

The volume of a solid of revolution =

When finding the volume of a solid of revolution, we typically rotate a two-dimensional shape around an axis, creating a three-dimensional object. Slicing is a method used to calculate the volume of such solids.

To find the volume of a solid of revolution using slicing, we divide the shape into thin slices or disks perpendicular to the axis of revolution. These disks can be visualized as infinitely thin cylinders.

By summing the volumes of these disks, we approximate the total volume of the solid.

The volume of each individual disk can be calculated using the formula mentioned earlier: V = πr²h.

Here, the radius (r) of each disk is determined by the distance of the slice from the axis of revolution, and the height (h) is the thickness of the slice.

By summing the volumes of all the thin disks or slices, we can obtain an approximation of the total volume of the solid of revolution.

As we make the slices thinner and increase their number, the approximation becomes more accurate.

Now, let's address the question of why we might need to use the slicing of washers versus disks.

When calculating the volume of a solid of revolution, we use either disks or washers depending on the shape being rotated. If the shape has a hole or empty region within it, we use washers instead of disks.

Washers are obtained by slicing a shape with a hole, such as a washer or a donut, into thin slices that are perpendicular to the axis of revolution. Each slice resembles a cylindrical ring or annulus. The volume of a washer can be calculated using the formula:

V = π(R² - r²)h,

where R and r represent the outer and inner radii of the washer, respectively, and h is the thickness of the slice.

By summing the volumes of these washers, we can calculate the total volume of the solid of revolution.

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Answer:

Answers are at the bottom!

Step-by-step explanation:

First answer:The coordinates of the turning point are (-2,-1)

Second answer is (-0.5,5) and (0.5,5)

If i'm wrong please correct me.

Hope this helps!!

The total number of ways to line up 12 people are 479,001,600.  

We have 12 members of wedding party. We need to make arrangements for 12 people to line up for a photograph.

If we have total n objects and we need to arrange r objects then it can be done in \(^nP_r\) ways which is equivalent to =(n!/(n-r)!)

Now, here we have 12 members for photograph, we are free to choose any of members from 12 members.

So, this can be done in \(^1^2P_1_2\) ways which is equivalent to =(12!/(12-12)!)=12!/0!

We know that 0!=1

Therefore,12!/0!=12!=479,001,600

Hence, total number of ways are 479,001,600.

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\( \huge \red {Question}\)

p(a) = 4a +4

What is the coefficient of a?

\( \huge \red{Answer}\)

4 is the coefficient of a .

Step-by-step explanation:

4 is the coefficient of a .

Triangle ABC is similar to triangle ADE by AA test of similarity

Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.

here, we have,

There are different types of similarity test by which we can prove the similarity of triangles.

We are given that BC is parallel to Line DE

As the lines are parallel the respective angle are corresponding angles

hence Angle D = Angle B

And Angle E = Angle C

And both triangle have angle A as common angle

By AA test of similarity we can say that the two triangles are similar

Hence by AA test similarity the two triangles are similar

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Answer:

5 x 9 = 45 and 5+9= 14

Step-by-step explanation:

brainliest please

Answer:

A)1/2

Step-by-step explanation:

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:

the remainder might bew 1 or 2 yk

Step-by-step explanation:

The possible remainders when a number is divided by 4 are 0, 1, 2 and 3.

Given that, a number divided by 4 has a remainder.

Euclid's Division Lemma or Euclid division algorithm states that Given positive integers a and b, there exist unique integers q and r satisfying

a = bq + r, 0 ≤ r < b.

By Euclid's division lemma

If we divide any number a by 4 we get

a= 4q + r where 0 ≤ r < 4

So, the value of r can be  0, 1, 2, 3

Hence, the possible remainders when a number is divided by 4 is 0,1,2,3.

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To construct the first simplex tableau using the Big M method. The initial artificial basic solution is x₅ = 20 and x₆ = 50. The initial entering basic variable is x₁ and the leaving basic variable is x₅.

To construct the first simplex tableau using the Big M method, we first rewrite the problem in standard form as follows:

Maximize \(Z = 2x₁ + 5x₂ + 3x₃\)
subject to
\(x₁ - 2x₂ + x₃ + x₄ = 20\\2x₁ + 4x₂ + x₃ = 50\\x₁ ≥ 0, x₂ ≥ 0, x₃ ≥ 0, x₄ ≥ 0.\)

To construct the initial simplex tableau, we introduce artificial variables x₅ and x₆ to the two equations.

The initial tableau is:

 Basis   |  x₁   |  x₂   |  x₃   |  x₄   |  x₅   |  x₆   |   RHS  
----------------------------------------------------------------------
    x₅    |   1    |   2    |   1    |   0    |   1    |   0    |   20    
    x₆    |   2    |   4    |   1    |   0    |   0    |   1    |   50    
----------------------------------------------------------------------
    -Z    |  -2    |  -5    |  -3    |   0    |   0    |   0    |   0    

The initial artificial basic solution is x₅ = 20 and x₆ = 50. The initial entering basic variable is x₁ and the leaving basic variable is x₅.

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Using the Big M method, the complete first simplex tableau for the given linear programming problem is constructed as follows:

┌─────────────┬──────┬───────┬───────┬─────┬─────┬─────┬─────────────┐

│     BV      │  x₁  │   x₂  │   x₃  │ s₁  │ s₂  │ a₁  │      RHS    │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│      Z      │  2   │   5   │   3   │  0  │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│   x₁ - 2x₂  │  1   │  -2   │   1   │ -1  │  0  │  0  │     20      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│   2x₁ + 4x₂ │  2   │   4   │   1   │  0  │ -1  │  0  │     50      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₁      │  1   │   0   │   0   │  0  │  0  │ -M  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₂      │  0   │   1   │   0   │  0  │  0  │ -M  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₃      │  0   │   0   │   1   │  0  │  0  │ -M  │      0      │

└─────────────┴──────┴───────┴───────┴─────┴─────┴─────┴─────────────┘

The initial (artificial) basic solution is x₁ = 0, x₂ = 0, x₃ = 0, s₁ = 20, s₂ = 50, a₁ = 0. The initial entering basic variable is x₁, which has the most positive coefficient in the objective row. The leaving basic variable is s₁, determined by selecting the row with the smallest positive ratio of the right-hand side (RHS) to the entering column's coefficient. In this case, the ratio for the second row (20/1) is the smallest, so s₁ leaves the basis.

To construct the complete first simplex tableau using the Big M method, we first convert the given problem into standard form by introducing slack variables (s₁, s₂) for the inequalities and an artificial variable (a₁) for the equality constraint. We assign a large positive value (M) to the coefficients of the artificial variables in the objective row.

The first row represents the objective function, where the coefficients of the decision variables x₁, x₁₂₃ are taken directly from the given problem. The slack variables and the artificial variable (a₁) have coefficients of 0 since they don't appear in the objective function.

The subsequent rows represent the constraints. Each row corresponds to one constraint, where the coefficients of the decision variables, slack variables, and the artificial variable are taken from the original problem. The right-hand side (RHS) values are also copied accordingly.

The initial (artificial) basic solution is obtained by setting the decision variables to 0, the slack variables and the artificial variable to the right-hand side values. In this case, x₁ = 0, x₂ = 0, x₃ = 0, s₁ = 20, s₂ = 50, and a₁ = 0.

The initial entering basic variable is determined by selecting the most positive coefficient in the objective row, which is x₁ in this case. The leaving basic variable is determined by finding the smallest positive ratio of the RHS to the entering column's coefficient. Since the ratio for the second row (20/1) is the smallest, s₁ leaves the basis.

The resulting tableau serves as the starting point for applying the simplex method to solve the linear programming problem iteratively.

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