A woman with a basket of epos finds that if she removes the eggs from the basket 3 of 7 at a time, there is always 1 009 kt. However, it she removes the eggs 8 at a time, there are no eggs let the basket holds up to 100 eggs, how many eggs does shehave?

The solution of the given equation is \(-3+\sqrt{6}\) and \(-3-\sqrt{6}\).

Given equation:-

\((x+3)^2=6\)

We have to find the value of x by solving the given equation.

We can rewrite the given equation as:-

\(x^2+6x+9=6\\x^2+6x+3=0\)

We can solve the the quadratic equation by finding the discriminant.

\(x = \frac{-6+-\sqrt{6^2-4*1*3} }{2*1}\)

\(x = \frac{-6+-\sqrt{36-12} }{2}\)

\(x=\frac{-6+-2\sqrt{6} }{2}=-3+-\sqrt{6}\)

Hence, the values of x are \(-3+\sqrt{6}\) and \(-3-\sqrt{6}\).

Discriminant

In arithmetic, a polynomial's discriminant is a function of the polynomial's coefficients.

Quadratic equation

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

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Answer:

B

Step-by-step explanation:

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

one interior angle 135

one exterior angle 45

Step-by-step explanation:

Total measure of all angles in a 8 sided regular polygon = (n - 2)* 180

                   = ( 8 - 2 ) * 180

                   = 6 * 180

                   = 1080

Measurement of one interior angle = 1080 / 8 = 135

Interior angle and exterior angle make linear pair.

Measurement of one exterior angle = 180 - 135 =  45                                                                                      

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

Step-by-step explanation:

She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.

Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.

That would be a fair game.

Answer:

the correct t answer is d

Answer:

517 minutes

Step-by-step explanation:

Hope this helps:))

Answer:

517 mins

Step-by-step explanation:

1hour=60min

8hour=480min

37min is the same because it is already in minutes

480+37=517mins

The type of sampling used in each case are:

Statement A → Stratified random sampling.

Statement B → Cluster sampling

Statement C → Simple random sampling

Statement D → systematic sampling

There are different ways that samples are classified such as:

1) Convenience sampling: This is where samples are drawn from a conveniently available pool.

2) Random Sampling: This is when we put all the options into a particular hat and drawn some of them.

3) Systematic Sampling: This is when every nth element is taken. For example, we want to survey something in the school, and then we interview every 10th person.

4) Cluster Sampling: This usually divides a population into groups, referred to as clusters, and each element in that cluster is surveyed.

5) Stratified Sampling: This will divide the population into groups. However, unlike cluster sampling, here, only some elements of the group are surveyed.

From the given problem:

Statement A is Stratified random sampling.

Statement B is Cluster sampling

Statement C is Simple random sampling

Statement D is systematic sampling

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Step-by-step explanation:

1. C = the graphing is slowly increasing, then he walks across the top so it is flat

2. D = it started out slow and gradually got higher, which is what the story said

3. H = he had to stop walking, and there is a part of no movement in the graph H

4.

Answer:

The answer is 8^6

Step-by-step explanation:

In order to simplify exponents, you multiply them together. so you multiply 2 and 3 to get 6

\((8^2)^3 = 262,144\\8^5 = 32,769\\8^6 = 262,144\)

Answer:

\(P(x \le 3.24) = 0.97725\)

Step-by-step explanation:

Given

\(\bar x = 2.5\)

\(\sigma = 0.37\)

Required

Percentage that is not more than 3.24

The above implies that:

\(x = 3.24\)

Calculate z score

\(z = \frac{x - \bar x}{\sigma}\)

\(z = \frac{3.24 - 2.5}{0.37}\)

\(z = \frac{0.74}{0.37}\)

\(z = 2\)

So, the probability is represented s:

\(P(x \le 3.24) = P(z \le 2)\)

From z probability

\(P(z \le 2) = 0.97725\)

Hence:

\(P(x \le 3.24) = 0.97725\)

Answer:

Lower quartile= 4

Middle quartile= 6

Upper quartile=8

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

since order of songs matter in a concert as well, every scenario of the 5 songs being played in different order will be a different scenario.

so, we will permute 5 from 9.

9!/4!

15120 different scenarios

The ratios are;

Sin θ =  5/6

Cos θ = √11/6

Tan θ =  5√11/11

Sec  θ =  6√11/11

Cosec  θ = 6/5

Cot θ =  √11/5

These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides

We can see that the hypotenuse is obtained from;

x =√\((10)^2 + (2\sqrt{} 11)^2\)

x = √100 + 44

x = 12

Then;

Sin θ = 10/12 = 5/6

Cos θ =  2√11/12

= √11/6

Tan θ = 10/2√11

= 20√11/44

= 5√11/11

Sec  θ =  1/Cos  θ

=  6/√11

= 6√11/11

Cosec  θ = 1/Sin

 θ = 6/5

Cot θ = 1/tan θ

= 11/ 5√11

= 55√11/275

= √11/5

Sinβ = 2√11/12

= √11/6

Cos β = 10/12

= 5/6

Tan β = 2√11/10

= √11/5

Sec β = 6/5

Cosec β = 6√11/11

Cot β = 5√11/11

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Answer: angle DGE = 90 °. angle DGE = 90 ° The diagonals of a rhombus are perpendicular.: angle DGE = 90 °

Step-by-step explanation: Can i get brainiest pls and i like it took a long time to figure out  

Answer:

Option (A)

Step-by-step explanation:

Like fractions possess a shared denominator while not necessarily having identical numerical values. To determine which pair of numbers contains like fractions, we need to analyze each pair of fractions and see if they have the same denominator. Let's examine each pair:

Option (A) 1/2 and 3/2:

These fractions are like fractions because their denominators are the same value.

Option (B) 4/8 and 12/16:

These fractions are not like fractions because their denominators are not the same value.

Option (C) 6/7 and 60/70:

These fractions are not like fractions because their denominators are not the same value.

Option (D) 5/4 and 4/5:

These fractions are not like fractions because their denominators are not the same value.

The pair of numbers that contains like fractions is A. 1/2 and 3/2.

The length of the slide is approximately 16.56 feet.

To solve this problem, we can use basic trigonometry.

The angle of elevation refers to the angle between the horizontal ground and the line of sight from the bottom of the slide to the top of the slide.

Given that the angle of elevation is 44 degrees and the height of the top of the slide is 16 feet, we can use the tangent function to find the length of the slide.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

The opposite side is the height of the slide (16 feet), and the adjacent side is the length of the slide that we want to find (let's call it x).

So, we have:

tan(44 degrees) = 16 feet / x

To solve for x, we rearrange the equation:

x = 16 feet / tan(44 degrees)

Using a calculator, we can find the value of the tangent of 44 degrees, which is approximately 0.9659.

Thus, we can calculate:

x = 16 feet / 0.9659

≈ 16.56 feet

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The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Answer:

The expected number of adult workers with a high school diploma is 4 out of 10

Step-by-step explanation:

4 out of 10 = 40%

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer: La probabilidad es 0.24

Step-by-step explanation:

De 240 personas, sabemos que 100 tienen una vista izquierdista.

Entonces la probabilidad de que una persona, seleccionada al azar, tenga una vista política izquierdista es:

Pa = 100/240 = 5/12

Entonces la probabilidad de que una persona elegida al azar NO tena una vista política izquierdista, es:

Pb = 1 - Pa = 1 - 5/12 = 7/12.

Queremos calcular la probabilidad que de 5 personas elegidas al azar, solo una tenga una vista izquierdista.

Entonces vamos a tener Pa una vez, y Pb 4 veces.

Y como sabemos, la probabilidad conjunta es igual al producto de las probabilidades, entonces:

p = Pa*Pb^4 = (5/12)*(7/12)^4

Pero esto va a ser para un solo arreglo (por ejemplo, de las 5 personas electas, la primera tiene una visión izquierdista), entonces tenemos que tener en cuenta las permutaciones, que van a ser las posibles permutaciones de un elemento en un espacio de 5 posibles espacios.

Son 5 permutaciones, y estas son:

La primera tiene visión izquierdista.

La segunda tiene visión izquierdista.

La tercera tiene visión izquierdista.

La cuarta tiene visión izquierdista.

La quinta tiene visión izquierdista.

Que también es igual a la combinatoria de 5 en 1.

\(C(5,1) = \frac{5!}{(5 - 1)!*1!} = 5\)

Entonces la probabilidad que buscamos va a ser:

P = 5*p = 5*(5/12)*(7/12)^4 = 0.24

The matching of the vocabulary words will be:

Population

Parameter

Variable

Statistic

Sample

Data

Population is the entire group of individuals to be studied

All milk cows is Population

The parameter is a number that summaries the population

The average age that all milk cows are when they first produce milk is a parameter

The age when a milk cow first produced milk is Variable

The average age for the 62 observed milk cows as they first produced milk is a statistic

The 62 milk cows that were observed by the rancher is a sample

The list of the 62 ages is data

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Answer:

45

Step-by-step explanation:

\(_{10} C_{2}\) = (10!) ÷(8!) (10-8)!

(10 × 9)÷2 = 45

Answer: 100

Step-by-step explanation:

10 people

2 chairs 1 chair 1 vice chair

10*10=100 different combinations

Answer:

(100/500) *200 =40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

Each column represent the number of packages of pencils and the total number of pencils you would have.

So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.

Column 2 says 1 package of pencils.  Since there are 24 pencils in a package, now you would have 24 pencils total.

Column 3 says 3 packages.  3 x 24 = 72 pencils total

Column 4 says 4 packages.  4 x 24 = 96 pencils total

Colum 5 says 6 1/2 packages.  6 x 24 = 144 and you know 1/2 of a package equals 12.  So 144 + 12 = 156 total pencils.

Answer:

c

Step-by-step explanation:

when you set y=0 and solve you get x=-2

The volume of this whole figure is the sum of the volume of a cylinder and the volume of a cone. The formula would be:

Given,

radius of cylinder and cone: r = 2 (diameter is given as "4" and we know radius is half of diameter, so 4/2 = 2)

height of cylinder is 7

height of cone = 6

Substituting into the formula, we get (we use "3" for pi):

The volume is: