when random assignment fails to create equivalent groups, the problem of occurs. a. external validity b. sampling error c. self-selection d. third variables

Answer: A and C

Step-by-step explanation:

Abs. val is distance from 0, and 100 and -100 are both the same distance from 0, so x=100 and x=-100.

The possible dimensions of the rectangle will be 12 and 12√5.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of the rectangle is 144√5. The dimensions of the rectangle can be calculated by factorizing the given area as below:-

Area = 144√5

L x W = 12 x 12√5

So the dimensions will be L = 12 and W = 12√5.

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Answer: A, 4[tex]\sqrt{14}[/tex]

Step-by-step explanation:

18^2-10^2=224

[tex]\sqrt{224}[/tex] =4[tex]\sqrt{14}[/tex]

Answer: 4 √ 14

Step-by-step explanation:

Pythagorean theorem is (a^2 + b^2 = c^2)

Step 1. (10^2) + (x^2) = (18^2) {we divided the 20 by 2 to get one right triangle for the pythagorean theorem.}

Step 2. 100 + x^2 = 324

Step 3. x^2 = 224

Step 4. x ≈ 15 (rounded to the nearest whole number) (x = 14.9666295)

Step 5. Eliminate the wrong choices. B and D are both eliminated, because they are whole numbers, and they don't match the answer we got.

Step 6. Find the square root. 2 √ 106 is ≈ 20.59126, which isn't equal to our 14.966, .

Step 7. With all but one answer remaining, the answer would be 4 √ 14, and we can double-check. (14.9666295 = 14.9666295.)

The graph is attached, the type of line is dashed straight lines

Part B the point (-4, 6) is not a solution

information gotten from the question include

y > 2x + 3

y is less than negative 3 over 2 times x minus 4

the statement is written as

y < -3/2 x - 4

Part B

The point (-4, 6) is not included in the solution

plugging in x = -4 into the equation

y < -3/2 (-4) - 4

y < 6 - 4

y < 2 not a solution

y > 2 (-2) + 3

y > -4 + 3

y > -4

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The height of Eiffel Tower is found as 1054.12 feet approximately.

We can use the cosine trigonometric ratio here to find the height of Eiffel Tower.

Given that:

Mai is 80 feet away from the tower.

She is looking up the tower's top at an angle of 85.66 degrees.

To find:

The height of Tower

Using the right-angled triangle's cosine ratio from angle of elevation:

Refer to the diagram attached below.

Assuming height of Mai is negligible in comparison to height of Eiffel tower, we have triangle ABC as right angled triangle.

Using cosine of angle C (since we're given base length and length of perpendicular is needed which is height of tower), we get:

[tex]\begin{aligned}& \tan (C)=\frac{A B}{B C} \\& \tan \left(85.66^{\circ}\right)=\frac{h}{80} \\& h=\tan \left(85.66^{\circ}\right) \times 80 \\& h \approx 13.1765 \times 80 \\& h \approx 1054.12 \text { feet }\end{aligned}[/tex]

Therefore, the height of the Eiffel tower is found to be 1054.12 feet approximately.

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16,000 people are expected to attend this year's events, according to the exponential smoothing method.

Below is a forecast utilizing the exponential smoothing method.

Forecasting with exponential smoothing is done using the formula below.

Ft+1 = Ft + α (At – Ft ) 

Find the forecasting for this year using the formula Ft+1 = Forecasting Value of the Upcoming Year =?

Ft = Forecasting Value of the Previous Year = 15,000= Predicted Attendance for the Previous Year

At = Actual Value of the Previous Year = 20,000 

Smoothing Constant (which lies between 0 and 1) =0.2 =α

F(last year) + α (A(last year) – F(last year) )=F (This year)

= 15000 + 0.2 (20000 – 15000)

= 15000 + 0.2 (5000)

= 15000 + 1000

= 16000

F (This year) = The anticipated attendance for this year is 16000.

According to the exponential smoothing method, 16,000 people are expected to attend this year's events.

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If you start with 150 bacteria micrograms, the colony would have 1,343.61756 bacteria after 8 days.

We solve this problem using our understanding of the rules of calculating percentages. We have been given the condition that bacteria colonies increase by 73% after every 2 days.

So, starting with 150 bacteria,

after 2 days we'll be having

150+ (73% of 150) bacteria

i.e. 150 + (0.73×150)

=150 + 109.5

=259.5 bacteria

and after 4 days the no. will be,

259.5 + (0.73×259.5)

=259.5 + (189.435)

=448.935 bacteria

similarly after 6 days,

448.935 + (0.73×448.935)

=448.935 + (327.722)

=776.65755 bacteria

and finally after 8 days,

=776.65755 + (0.73×776.65755)

=776.65755 + 566.960012

=1,343.61756 bacteria

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The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5

From the question, we have the following visible expressions that can be used in our computation:

√(81/49) and (2/5)²

Solving (a), we have

√(81/49)

Take the square roots

This gives

√(81/49) = 9/7

The expression cannot be further evaluated

Solving (b), we have

(2/5)²

Evaluate the exponents

This gives

(2/5)² = 4/5

The expression cannot be further evaluated

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The recursive formula is,

aₙ = 0.20aₙ₋₁ + 200

The correct option is A.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

Given:

Mahek owns a holiday tree farm.

There are currently 800 trees on the property.

Each year, 20% of the trees are harvested and sold,

and 200 seedlings are planted.

a₁ = 800

The recursive formula is,

aₙ = 0.20aₙ₋₁ + 200

Hence, aₙ = 0.20aₙ₋₁ + 200

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The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees

From the question, we have the following parameters that can be used in our computation:

AD = 8cm CD = 5cm CE = 10cm

Given that the apex E is directly over the centre, we have

Height (h^2) = CE^2 - AD^2

So, we have

h^2 = 10^2 - 8^2

This gives

h = 6

Here, we can use the definition of tangent which is represented as

tan(EBD) = h/AD

So, we have

tan(EBD) = 6/8

tan(EBD) = 0.75

Take the arctan of both sides

EBD = 36.87

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Simplifying the expression (6x⁻²)²(0.5x)⁴  by using mathematical operators gave us 2.25

Simplification of expression is the process of rearranging an expression so that it becomes simpler to understand and evaluate. This is done by combining terms, factoring, canceling out like terms, and other methods.

In the given expression;

(6x⁻²)²(0.5x)⁴ can be simplified using law of exponents which will become;

(6x⁻²)²(0.5x)⁴ = (36/x⁴) (0.0625x⁴)

This can be further simplified as;

(36/x⁴) (0.0625x⁴) = 2.25

The simplification of the original expression gave us 2.25

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The store pays $842.00 for the crystal sculpture and marks the price up by 29%,  then the amount of the markup is $243.98.

What is the arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

we have given,

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,

so, the amount of the mark-up can be calculated as follows:

$842.00 * 29% = $842.00 * 0.29 = $243.98

Therefore, the amount of the markup is $243.98.

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Correct question:

A store pays $842.00 for a crystal sculpture and mark the price by 29%. What is the amount of the mark-up?

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,  then the amount of the markup is $243.98.

A subfield of mathematics known as arithmetic operations deals with the study and manipulation of numbers, which are essential to all other subfields of mathematics. Basic operations like addition, subtraction, multiplication, and division are included in it.

The four mathematical operations are functions that take input values, or numbers, as inputs and turn one number into another. They are: multiplication, division, addition, and subtraction.

According to contemporary mathematicians, the Riemann Hypothesis is possibly the most significant open problem in all of mathematics. One million dollars will be awarded to the person who can solve it, which is one of the seven Millennium Prize Problems.

we have given,

The store pays $842.00 for the crystal sculpture and marks the price up by 29%,

so, the amount of the mark-up can be calculated as follows:

[tex]842.00 \times 29% \\= $ 842.00 \times 0.29 \\= $243.98[/tex]

Therefore, the amount of the markup is $243.98.

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Correct question:

A store pays $842.00 for a crystal sculpture and mark the price by 29%. What is the amount of the mark-up?

The cost per mile that Bill Novato had last year was $0.40.

As per the data given:

Last year, Bill Novato drove 38,986 miles.

Also he had the expenses as follows:

Gas: $7787. 25

Maintenance and miscellaneous: $318.80

Parking and tolls: $325.00

Tires: $300.00

Wash and wax: $75.00

insurance: $614.80

License, $74.90

Loan interest: $412.20

Depreciation: $5780.0

To find the cost per mile we just need to divide all the expenses Bill had on the car by the amount of miles he drove.

The total amount of expenses can be found by adding all the expenses together.

= 7787.25 + 318.8 + 325 + 300 + 75 + 614.8 + 74.9 + 412.2 + 5780

= 15687.95

The total expense of the car was $15687.95.

Dividing this value by the total amount of miles driven, we have:

[tex]$\frac{15687.95}{38986}=0.40239957933[/tex]

The cost was approximately $0.40 per mile.

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The area of one rectangle is 21 square units.

Let's label the vertices of the large square as A, B, C, and D, with A in the top left corner and going clockwise. Let E be the center of the large square and also the center of the small square. Let F, G, H, and I be the midpoints of the sides AB, BC, CD, and DA, respectively, so that each of the four rectangles has two adjacent sides that are also sides of the large square.

Then, the side length of each rectangle is the same as the side length of the small square, which is 3. The height of each rectangle is the distance between two adjacent sides of the large square, which is 7. Therefore, the area of each rectangle is:

Area = base × height = 3 × 7 = 21 squared unit

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Answer:

x > -2

Step-by-step explanation:

x + 3 > -1 - x

x + x + 3 > -1 - x + x

2x + 3 > -1

2x + 3 - 3 > -1 - 3

2x > -4

2x/2 > -4/2

x > -2

Answer:ur mom

Step-by-step explanation:

30/60=x

x*20

Step-by-step explanation:

What a question.. expect a huge number as the answer

What we need to do is convert days into seconds, and then multiply that number by 20.

30 days

24 hours in 1 day

60 minutes in 1 hour

60 seconds in 1 minute.

So what we do is multiple these 4 numbers

[tex]60 \times 60 \times 24 \times 30 = 2592000[/tex]

There are 2,592,000 seconds in 30 days.

Now we take that number and multiply it by 20 coins

[tex]2592000 \times 20 = 51840000 \: coins[/tex]

Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.

Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.

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Minimum sample size to satisfy manufacturer requirements is 2401.

The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.

Given,

Margin of error m = 0.02

for Confidence interval = 95% , Z - value = 1.96

Sample size n = Z²p(1 – p)/m²

p is the proportion of population (generally taken as 0.5),

m is the margin of error.

n = (1.96)²× 0.5(1 - 0.5)/(0.02)²

n = (1.96)²× 0.5(0.5)/(0.02)²

n = 2401

Hence, 2401 is the smallest sample size.

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Not every possible subset is a valid word. The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet. "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word.

(a) No, not every possible subset is a valid word. For example, the subset "zxy" is not a valid English word.

(b) The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet.

(c) "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word. However, "GALLON" is not a valid subset because it is not a recognized word in the English language. This is because the letters are not arranged in the correct order, and there is no recognized word in the English language with this arrangement of letters.

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Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is

The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.

Finding all of these intersections or common solutions is what it means to solve a system.

Examining the attached graph the point of intersection is  (-0.4,-2.35) and this is hence the solution.

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The least number of significant digits we can trust in the solution is 2.

The relative approximate error (RAE) of 0.004% gives us an indication of the precision of the solution at the end of an iteration, but it does not directly indicate the number of significant digits that can be trusted in the solution.

In general, the number of significant digits that can be trusted in a solution depends on several factors, such as the accuracy of the initial guess, the choice of method for finding the root, and the behavior of the function being evaluated.

As a rough estimate, it is common to assume that the number of significant digits in the solution is equal to the number of significant digits in the RAE, minus one.

In this case, the RAE is 0.004%, which has three significant digits, so the least number of significant digits we can trust in the solution would be

three - 1 = 2 significant digits

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There is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.

If there are W white balls and B black balls in a bag, and you are drawing 4 balls without replacement, the probability that the first 2 selected are white and the last 2 black can be calculated as follows:

[tex]P(WWBB) = (W/ (W + B)) * ((W-1) / (W + B - 1)) * (B / (W + B - 2)) * ((B-1) / (W + B - 3))[/tex]

So, for example, if there are 10 white balls and 20 black balls, then the probability of getting the first 2 white and the last 2 black is:

[tex]P(WWBB) = (10 / 30) * (9 / 29) * (20 / 28) * (19 / 27) = 0.0099[/tex]

This means that there is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.

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Answer:

-96188148454815460181518484413

Therefore, the seamstress used 200 + 200 - 179 = 221 buttons for her recent mending.

As per the data given in the above question are as bellow,

The data provided are as bellow,

There are 35 buttons remaining in a package in the equipment of a seamstress.

She repaired some things and used 14 of another box.

How many buttons did the seamstress use for her most recent repair if both boxes initially had 200 buttons?

The seamstress had

200 - 35 = 165 buttons

left in her first box after using some of them.

So she had

165 + 14 = 179 buttons in total.

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The x-value of the intersection point of the lines is ( d - b)/(a-c).

Intersection of lines

Given the equation of a line communicated as;

y = ax +b and;

y = cx + d.

Comparing the two lines, we will have:

ax + b = cx + d

Make x the subject of the method:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Thus the x-worth of the intersection point of the lines is ( d - b)/(a-c)

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If a triangle has one side of 7 meters and another side of 12 meters, the other side is approximately 13.928 meters long.

A triangle is a three-sided polygon that has three angles and three sides. The sides of a triangle are connected by its angles, and the sum of the angles of a triangle is always equal to 180 degrees. The length of the sides of a triangle affects the size of its angles, and the size of its angles affects the length of its sides.

Now, in the case of a triangle where one side is 7 meters and another side is 12 meters, the length of the third side can be calculated using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be written as

=> a² + b² = c²,

where a and b are the lengths of the two sides, and c is the length of the hypotenuse.

Using the Pythagorean theorem, we can find the length of the third side of the triangle. Let's call the length of the third side "x". So,

=> x² = 7² + 12² = 49 + 144 = 193.

Taking the square root of both sides, we get

x = √(193) = 13.928.

So, the third side of the triangle is approximately 13.928 meters long.

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