You want to determine if a majority of the 30 students in your statistics class like your statistics teacher more than they like bacon. In order to conduct a test of the hypothesis against the alternative , you ask the first 5 students that enter the room if they like the teacher more than they like bacon. Every student in your sample say "yes!" Which one (if any) of the following required conditions for conducting a z test for a proportion has not been met?


a. The data are a random sample from the population of interest.


b. The sample size is less than 10% of the population size.


c. Np>or=10 and n(1-o)>or=10


d. None of the conditions are violated.


e. More than one condition is violated

The required length of the tangent PQ is given as 16.73 units.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,

PQ² = QS·RS
PQ = √[7 × 40]
PQ = 16.73

Thus, the required length of the tangent PQ is given as 16.73 units.

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The equation can be described as a quadratic equation.

A quadratic equation is a second-order polynomial equation in a single variable x or any algebraic equation of highest degree. The standard form of the quadratic equation in variable is ax^2 + bx + c = 0 with a ≠ 0, where a and b are coefficients and constant. Since a quadratic equation is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

In this case, we have given that:

y = t + 2

So, y – 2 = t

Now, substitute the value of t in the equation:

x = t^1/2

x = (y – 2) ^1/2

And, by squaring both sides we will get:

x^2 = y – 2

y = x^2 + 2

Hence, this is an example of quadratic equation.

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Answer:

D. Quadratic

Step-by-step explanation:

Took the test and it was the right answer. I'll put in answers for other questions in case you have them.

Don't worry you've got it, I believe in you :)

Answer:

290 Miles

Step-by-step explanation:

Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.

Biquadratic polynomials are defined as polynomials with a degree of 4. thus," Option B".

Polynomial

A polynomial is a type of fine equation that combines expounders, constants, and variables through addition, deduction, addition, and division.

Bi-quadratic Polynomial

Not original) An illustration of a polynomial statement that solely makes use of a variable's zeroth, second, and fourth powers is biquadratic( mathematics) x4 3x2 2. It's sometimes extended to any expression containing the biquadrate or fourth power when used in the form x4 4x3 3x2 x 1. ( but not advanced powers).

In general, a 0 is an a-quadratic polynomial in the equation g( x) = ax4 bx2 cx2.

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At the end of the first year, Shota will have earned amount  \$400.00$400.00dollar sign, 400.00 in interest.

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).

At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).

Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.

At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.

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To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints.

To find the coordinates of a triangle with midpoints, you first need to calculate the midpoints of each side of the triangle. To do this, take the two endpoints of the side and average their coordinates. For example, if the two endpoints are (x1, y1) and (x2, y2), then the midpoint would be ((x1+x2)/2, (y1+y2)/2). Once you have all the midpoints, you can use the midpoint formula to calculate the coordinates of the triangle. The midpoint formula states that the coordinates of the triangle can be found by taking the average of the midpoints of the three sides.

To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints. Then use the midpoint formula to take the average of the three midpoints to find the triangle's coordinates

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Answer:

this is my best awnser

Step-by-step explanation:

It represents a linear function and there will be 216 ants after 1 year

3x^{2}+5 is the area of rectangle .

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                 The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.

Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.

The answer is 3x^{2}+5

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The least cost of making the chain would be = $114

Welding is defined as the process that can be used to join some hard materials such as chains which can be used for making of pieces of jewelry.

John's chain contain the following = 6 small chains

The number of links for each chain = 4 links

This means that for the totals chain there are 6× 4 = 24 links which is also the total number of links he wants to make.

The cost of 1 link = $1.25

The cost of welding = $3.50

The least amount of money that can be used can be calculated below as;

= (1.25 + 3.50)× 24

= ($4.75) × 24

= $114

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Answer:

y > 4 is the solution of ordered pair in the inequality

this answer is helpful or not?

The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

A variable in Algebra is an alphabet used to represent an unknown number. It denotes the value. A variable is a quantity that can be altered in response to a mathematical problem. Many algebraic expressions and equations use the generic letters x, y, and z. A variable is, in other words, a symbol for a number whose value is unknown.

Given:

Each bracelet contains 8 grammes of gold, and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces.

According to the question,

Let x denote the number of bracelets and y the number of necklaces made by the jeweller.

The jeweller made a total of 13 bracelets, This means that

⇒ x + y = 13

It is assumed that each bracelet contains 8 grammes of gold and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces. That is to say,

⇒ 8x + 24y = 168

Thus, The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.

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Answer: 185 minutes

c is the correct option

Step-by-step explanation:

let x = number of minutes

0.46x = 85.10

x = 85.10/0.46 = 185 minutes

Answer:

185 minutes

Step-by-step explanation:

See the attached worksheet.  Note that there are no inequalites mentued in the problem.  That eliminates options 1 and 4.  Option 2 is set up correctly, except that the units are incorrect.  The unit for 0.46 is $/min, not just $.  The final unit should be minutes, not $.

Option 3 has the correct equation, and units.  Note how the word problem can be translated to an equation.  Start with setting up an equation, before mentally trying to answer the question.  An guess at the answer might be helpful, but work with the equation to insure the details are included.  A correct equation will allow proper unit cancellation, which will help verify that the answer is correct.  In this case we wanted an answer with just minutes.  Dividing $ by $/min reduces to only minutes  ($/$/min = min).

========

Making an estimate first is a good safeguard against mistakes.  We can mentally round up $0.46 to 50 cents/minute.  If the total bill is almost $90, we'd expect an answer around 180 minutes ((90/0.5).  We got 185, so we can feel comfortable that the problem was done correctly and quickly move on.

When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

In a bundle  fruits of 30,apples are apples

percentage of apple = 6/30 *100

= 20 %

When the bundle contains 20% apples, A bundle of 30 fruits contains 6 apples and the remaining 20 are oranges.

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Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed below.

A statistically list is a collection of numbers that shows the outcomes of an analysis with numerous inputs. Data is arranged in columns and rows and consists of both descriptions and numbers. The table and also the patter of 10 are easy to recall. The numbers are in the following order: 7, 14, 21, 28,35, 42, 49, 56, 63, and 70. A method for illustrating the connections between different data pieces is value mapping. In any science subject, the values table might be helpful.

Here,

To relocate a formula, choose a cell that it is in.

(Or, click Ctrl + X.) Click Home > Cut. Select Transfer (or ctrl + V)

after choosing the cell in which you desire the formula to appear.

Therefore , the solution of the given problem of table comes out to be

the steps for using table name in formula are listed above.

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Tao rode his bike for 4 miles.

What are the speed, distance, and time?

Speed, distance, and time are related concepts in physics, and the relationship between them is often represented by the equation:

Speed = Distance/Time

To find out how many miles Tao rode his bike, you can use the formula:

distance = speed x time

In this case, the speed is 12 mph (miles per hour) and the time is 20 minutes. To convert the time to hours, you need to divide 20 minutes by 60 minutes (1 hour) which gives us 0.33 hours.

So,

distance = 12 mph x 0.33 hours = 4 miles

Hence, Tao rode his bike for 4 miles.

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The expression that best represents the phrase below.

"the number of fish divided evenly among 5 aquariums" is

The expression that suits the phrase is derived by understanding the meaning of the phrase

The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.

Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence  we have

= the number of fishes ÷ divided by the number of aquarium

= f ÷ 5

hence option E is the correct one

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Answer:

(x - 8) (x + 4)

Step-by-step explanation:

x^2-4x-32

Consider the form x^2+bx+c. Find a pair of integers whose product is c

and whose sum is b. In this case, whose product is −32 and whose sum is −4.

-8,4

Write the factored form using these integers and we get the answer

(x - 8) (x + 4)

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”.

Now, According to the question:

What is inequality?

A statement involving the symbols '>', '<', ' ≥', '≤' is called an inequality. For example 5 > 3, x ≤ 4, x + y ≥ 9.

(i) Inequalities which do not involve variables are called numerical inequalities. For example 3 < 8, 5 ≥ 2.

We use the equal sign "=" to say that two things are the same. However, sometimes we just want to show that something is bigger or smaller than something else. Or maybe we just want to say that two things are not equal. These cases are called inequalities.

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A planar polygon is convex if it contains all of the line segments connecting any two of its points. Thus, a regular pentagon is convex (left picture), but an indented pentagon is not (right figure).

A pentagon is any five-sided polygon or 5-gon in geometry. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting. A pentagram is a self-intersecting regular pentagon. A pentagon is a five-sided polygon with five angles. The term "pentagon" is made up of two terms, Penta and Gonia, both of which signify five angles. All of the sides of a pentagon meet end to end to form a shape.

Here,

If a planar polygon has all of the line segments connecting any two of its points, it is convex. A normal pentagon, for example, is convex (left picture), but an indented pentagon is not (right figure).

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Answer: Roots=-2, 0, 5

y-int=(0,0)

Step-by-step explanation:

Answer:

B/6

Step-by-step explanation:

is this what you mean

B= ammount of candie

1/6= the piles she divided

so

[tex]\frac{b}{6}[/tex]

According to the information, it can be inferred that of the next 99 packets of seeds sold, 27 will be pumpkin seeds.

To calculate how many packages of pumpkin will be sold in the next 99 sales we must carry out the following procedure: A rule of three.

According to the above, if of 77 packages we sold 21 of pumpkin, we can infer that 27 will be the packages of pumpkin seeds that we will sell in the next 99 sales.

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In an exponential expression, a base is a number that is raised to a certain power, represented by the exponent. The base can be any real number, while the exponent must be a positive integer.

Some key points to remember about the base and exponent in an exponential expression are:

For example, in the expression "2^3" (read as "2 raised to the power of 3"), the base is 2 and the exponent is 3. This means that 2 is being multiplied by itself 3 times (222 = 8). So the expression evaluates to 8.

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The equations with no solution system.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship.

In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

Hence, The equations with no solution system.

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Answer:

n = 8.5

Step-by-step explanation:

[tex]\frac{10}{n}[/tex] = [tex]\frac{2}{1.7}[/tex] ( cross- multiply )

2n = 10 × 1.7 = 17 ( divide both sides by 2 )

n = 8.5

There are 62 medium-sized bowls and 88 small-sized bowls on the counter.

Calculate the total volume of the bowls on the counter, which is 764 oz.

Calculate the volume of one medium-sized bowl, which is 6 oz.

Calculate the total volume of the medium-sized bowls which would be 62 x 6 = 372 oz.

Calculate the volume of one small-sized bowl, which is 4 oz.

Calculate the total volume of the small-sized bowls which would be 764 - 372 = 392 oz.

Calculate the number of small-sized bowls which would be 392/4 = 88.

Calculate the number of medium-sized bowls which would be 372/6 = 62.

Therefore, there are 62 medium sized bowls and 88 small sized bowls on the counter.

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Answer: 3x, -2, 4y, -7, and x

Hope this helps :)

Step-by-step explanation:

Terms are all of the variables and/or numbers in an equation.

Answer:

a = 27

perimeter = 3a

= 3 * 27

= 81