yazmin noticed her favorite workout tops were on sale for $6.00 off the original price. she purchased 4 of the tops and spent a total of $51.80. write and solve an equation to determine x, the original price of the workout tops?

The correct answer to the question is both b and c because the sample is done without replacement and the sample size is more than 5% of the population .

The hypergeometric distribution must be used instead of the binomial distribution when sampling is done without replacement (option b) and the sample size is greater than 5% of the population (option c).Explanation:

The binomial distribution and the hypergeometric distribution are two essential distribution types used in probability and statistics to model discrete variables. Both the hypergeometric and binomial distributions are used to calculate probabilities that an event will occur n times in a sample of N items.

There is, however, a significant difference between the two. The binomial distribution is used when an event occurs for a certain number of times in n independent trials, whereas the hypergeometric distribution is used when drawing without replacement from a finite population.

Here are the options and their explanation:

a. Sampling is done with replacement: In this case, the binomial distribution must be used because each sample point is independent, and the outcome is determined by two probabilities (success or failure).b. Sampling is done without replacement:

When n > 0.05N, the binomial distribution cannot be used because the sample size is too large for a finite population. d. Both b and c: The correct answer to the question is both b and c because the sample is done without replacement and the sample size is more than 5% of the population .e. There are more than two possible outcomes: The hypergeometric distribution is a discrete probability distribution used when there are only two possible outcomes.

The binomial distribution, on the other hand, can be used when there are more than two possible outcomes. As a result, this option is incorrect.

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Answer:

12

Step-by-step explanation:

The square root of 64 is 8.

The cube root of 64 is 4.

So, your answer would be 12.

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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B.) y-5 = 3(x-3) or y-14 = 3(x-6)

The equation of line in point slope form is (y - 5) = 3(x - 3) or (y - 14) = 3(x - 6) passing through ( 3 , 5) and (6,14).

" A line is defined as the collection of points in one dimensional plane which represents only one dimension length and can extends to infinity."

Formula used

Slope(m) = \(y_{2} - y_{1}\)/\(x_{2} - x_{1}\)

Equation of line : (\(y\) - \(y_{1}\)) = m(\(x\) - \(x_{1}\))

According to the question

We have

(\(x_{1}\), \(y_{1}\)) = (3 , 5)

(\(x_{2}\) , \(y_{2}\)) = (6 , 14)

Substitute the value in the formula  to get slope of line we get,

 m =  14 - 5/6 - 3

      = 9/3

      = 3

Substitute the value in the formula of equation of line we get,

For (\(x_{1}\), \(y_{1}\)) = (3 , 5)

(y - 5) = 3(x - 3)

or

For (\(x_{2}\) , \(y_{2}\)) = (6 , 14)

(y - 14) = 3(x - 6)

Hence, Option (B) is the correct answer.

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The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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The property states that when two vectors a and b are multiplied together, the result is equal to the negative of b multiplied by a. This can be shown by multiplying the components of both vectors and then multiplying the result by -1.

a×b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

= (−1) * (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1)

= − b × a.

The property a × b = − b × a states that when two vectors a and b are multiplied, the result is equal to the negative of b multiplied by a. This can be proven by first expanding the components of both vectors. For a vector a=(a1,a2,a3) and b=(b1,b2,b3), the expanded form of a×b is (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1). This can then be multiplied by -1 to get the expanded form of -b×a, which is (b2*a3 - b3*a2, b3*a1 - b1*a3, b1*a2 - b2*a1). Since this is equal to the original form of a×b, this proves the property.

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Answer: 4/10

Step-by-step explanation:

In the standard curve for nitrophenol generated for use in this experiment, the nitrophenol concentration is reported on the x - axis.

What is standard curve?

A calibration curve, sometimes referred to as a standard curve, is a common technique used in analytical chemistry to compare an unknown sample to a group of standard samples with known chemical concentrations.

In order to calculate the nitrophenol concentration in mole/ml based on absorbance readings, the standard curve is drawn.

Based on the optical density, or OD410, or absorbance at 410 nm, this standard curve of absorbance is used to calculate the quantity of nitrophenol.

Therefore, the nitrophenol concentration is displayed on the x axis of the standard curve.

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The archway is a combination of a semi-circle and two rectangles. Then the area of the archway is 13.5π + 24 square units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The archway with a semicircle top arch and two rectangular pillars. The lower supports are and the area of the two supports is square meters.

The upper arch can be decomposed as one semicircle with radius meters minus a semicircle with a radius of 3 meters.

The archway is a combination of a semi-circle and two rectangles.

Area of archway = 2 × Area of rectangle + Area of a semicircle

Area of semicircle will be

\(\rm Area\ of\ semicircle = \dfrac{1}{2} \pi (r_2^2-r_1^2)\\\\Area\ of\ semicircle = \dfrac{1}{2} \pi (6^2 - 3^2)\\\\Area\ of\ semicircle = \dfrac{1}{2} \pi (36-9)\\\\Area\ of\ semicircle =\dfrac{1}{2}* 27 \ \pi \\\\Area\ of\ semicircle = 13.5 \ \pi\)

The area of the rectangle will be

\(\rm Area\ of\ rectangle = Length * Width \\\\Area\ of\ rectangle = 3*4\\\\Area\ of\ rectangle = 12\)

Then the area of the archway will be

Area of archway = 2 × 12 + 13.5π

Area of archway = 13.5π + 24

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Answer:

congruent rectangles, 24, 6, & 13.5

Step-by-step explanation:

i did it

The answer fam is.........

0.169

58.9%

1.77

6/5

Answer:

r = 18m

Step-by-step explanation:

h = 50 m

Volume of cone = 5400π m³

\(\frac{1}{3}\pi r^{2}h=5400\pi \\\\\\\frac{1}{3}\pi r^{2}*50=5400\pi \\\\\\r^{2}=\frac{5400* \pi *3 }{\pi * 50}\\\\\\r^{2}=108*3\\\\r^{2} = 324\\\\\\r=\sqrt{324}\\\\\\\)

r = 18 m

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Answer:

70 kg

Step-by-step explanation:

\(\frac{5}{8}*\frac{112}{1}kg\\\frac{5}{1}*\frac{14}{1}kg\\5 * 14kg\\70 kg\)

Decreasing 112kg by 3/8 is equal to 70kg.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To decrease 112kg by 3/8,

we can multiply 112 by 3/8 and then subtract the result from 112:

112 - (112 x 3/8)

First, we simplify 3/8 by finding a common denominator of 8:

= 3/8

= 3/8 x 8/8

= 24/64

So we have:

112 - (112 x 24/64)

To simplify this expression, we can first divide both the numerator and denominator of 24/64 by the greatest common factor, which is 8:

= 24/64

= (24 ÷ 8) / (64 ÷ 8)

= 3/8

Substituting this value, we get:

112 - (112 x 3/8)

Multiplying 112 by 3/8, we get:

= (112 x 3/8)

= (336/8)

= 42

Substituting this value, we get:

= 112 - 42

= 70

Therefore,

Decreasing 112kg by 3/8 is equal to 70kg.

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The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

Answer:

8

Step-by-step explanation:

x= centesimal angle (100 degrees in a

right angle)

y= sexagesimal angle (90 degrees in a

right angle)

=

x - y = 15

xx90/100 = y

xx9/10 = y

X - XX9/10 = 15

10x/10 - 9x/10 = 15

=

X/10 = 15

x= 150

y = 150x9/10 = 15x9 = 135

=

using centesimal system:

the sum of all external angles in a

polygon is 400 degrees (a full circle).

one external angle is the complement

of one internal angle to 200 degrees =

200-150=50 degrees.

to find the number of sides of the

polygon we need to find the number of

angles or corners. and that is how many

external angles fit into the full circle.

n = 400/50 = 8

=

the polygon has 8 sides

Answer:

down below

Step-by-step explanation:

straight lines are 180 degrees and you have 2 angles on a line. one of which is 72 and the other is unknown. It is solved for below.

\(180=72+x\\180-72=72+x-72\\108=x\)

your missing degree is 108.

i may not be right, if i'm not i am very sorry.

Answer:

Your Answer is: 237 /20

Answer:

5 17/20

Step-by-step explanation:

Answer:

1778 cm

Step-by-step explanation:

The cubic equation graphed is

We find the cubic equation by taking note of the roots. The roots are the x-intercepts and investigation of the graph shows that the roots are

(x + 4), (x + 2), and (x + 2)

We can solve for the equation as follows

f(x) = a(x + 4) (x + 2) (x + 2)

Using point (0, 16)

16 = a(0 + 4) (0 + 2) (0 + 2)

16 = a * 4 * 2 * 2

16 = 16a

a = 1

Therefore, the equation is f(x) = (x + 4) (x + 2) (x + 2)

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2,598,960 many different hands consisting of four queens and one king.

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

To choose 4 kings, there is only one way, and to choose a queen, there are four.

Thus, there are 4 different methods to draw the 5 cards as instructed.

The probability of drawing cards is taken into account while calculating the number of ways to draw 5 cards from a typical 52-card deck.

= 52!/(47!)(5!) = 2,598,960.

Hence,  2,598,960 many different hands consisting of four queens and one king.

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Answer:

23

Step-by-step explanation:

Use the hint to solve!

New equation would be 49 = 26 + h.

49 - 26 = 23.

Holly has 23 barrettes.

Answer:

7a) 1/6

7b) 7/12

7c) 3/2 or 1 1/2

7d) 61/10 or 6 1/10

Step-by-step explanation:

If you need me to explain, please let me now in comments, otherwise, please mark this answer as brainliest

Answer: Given that a, b, and c form an arithmetic sequence, so they are equally spaced, meaning the difference between each of them is constant. Let's denote the common difference between a, b, and c as d.

So, we have:

a = b - d

c = b + d

Using these two equations, we can prove that 2^a, 2^b, and 2^c form a geometric sequence.

We have:

2^a = 2^b / 2^d

2^c = 2^b * 2^d

Since the product of two powers of the same base is equivalent to the power of the base with the sum of the exponents, we have:

2^a * 2^c = 2^b * 2^b * 2^d * 2^d = 2^(b+b+d+d) = 2^(2b+2d)

So, we have:

2^a * 2^c = 2^(2b+2d) = 2^(2b) * 2^(2d) = 2^b * 2^b * 2^d * 2^d = 2^b * 2^c

This means that 2^a, 2^b, and 2^c form a geometric sequence, with the common ratio of 2^d.

Step-by-step explanation:

Answer:

450 miles in total during her training

Step-by-step explanation:

Since it does say she has 30 days to train and she said she will ride her bike 15 miles everyday she trains so she will have ridden her bike for 450 miles in total

30 days to train x 15 miles per day = 450 miles in total

The surface area of the cylinder, given the diameter, can be found to be 18. 84 inch .

The surface area of a cylinder can be found by the formula :

= 2 π r ² + 2 π h

The radius can be found to be:

= Diameter / 2

= 2 / 2

= 1 inch

The value of π is 3. 14.

This means the surface area would be:

= (2 x 3. 14 x 1 x 1) + (2 x 3. 14 x 1 x 2 )

= 6. 28 + 12. 56

= 18. 84 inch

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Answer:

Given that,

The flag pole wire is 35foot

And the length of the foot from the tag flagpole is 14ft

So we want to know the height of the flagpole

So this will form a right angle triangle where the wire is the hypotenuse.

Then, using Pythagoras theorem

c² = a² + b²

35² = 14² + h²

35²-14² = h²

h² =1225-196

h² = 1029

h=√1029

h= 32.09ft

Then, the height of the flag pole is 32.08foot.

Step-by-step explanation:

The correct function type for each situation:

1) A competition eliminates one-fourth of the participants per round. -  exponential

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping. -  linear

3) A tutor charges $40 per hour of tutoring. -  linear  

4) An animal population doubles every 3 months. - exponential

5) An electrician charges $125 per house call and then $65 per hour of work. -  linear

We know  that, in order to determine whether fundtion is linear or exponential we chaeck the relationships in the way the y-values change when the x-values increase by a constant amount:

In case of a linear function, the y-values have equal differences.

And in an exponential function, the y-values have equal ratios.

1) A competition eliminates one-fourth of the participants per round.  

This is an exponential function.

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping.

This situation could be modeled with a linear function.

3) A tutor charges $40 per hour of tutoring.

This situation could be modeled with a linear function.

4) An animal population doubles every 3 months.

This situation could be modeled with an exponential function.

5) An electrician charges $125 per house call and then $65 per hour of work.

This situation could be modeled with a linear function.

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Find the complete question below.

Answer:

Step-by-step explanation:

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