Suppose we want to choose 4 colors without replacement from 18 distinct colors

Answer:

i did this in 8th grade. (I'm homeschooled)

Step-by-step explanation:

Heres the best i got

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Micro middle sold the least no of different types of consoles.

Matrices represent data in the form of rows and columns together as an array form.

From matrix A we get the data as follows,

A row represents shops and columns represents types of console.

Games Go sold (53 + 21 + 48) = 122 different types of consoles.

Better Buy sold (65 + 34 + 70) = 169 different types of consoles.

Micro middle sold (18 + 11 + 15) = 34 different types of consoles.

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Answer:

15 square for six stage

Answer:

21

Step-by-step explanation:

stage 1:  1

stage 2: 3

stage 3: 6

the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.

stage 4: 10 (6+4)

stage 5: 15 (10+5)

stage 6: 21 (15+6)

Given function is,

So the value for x subsituted here is -2. so we get,

So the requred answer is the function cannot have a real value, because it has a negative sign inside the root. so it is not possible for this function to have an real value output.

But the function can have an output in Imaginary value ( i ).

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Two plants will never be of the same height.

Given, the height of an experimental plant after x days can be

represented by the formula 3(4x + 2).

The height of a second plant can be represented by the formula 6(2x + 2).

We have to state that will the two plants ever be of the same height,

Let assume that, the height of two plants be same,

So, 3(4x + 2) = 6(2x + 12)

On simplifying, we get

12x + 6 = 12x + 72

On subtracting 12x from both the sides, we get

12x + 6 - 12x = 12x + 72 - 12x

6 ≠ 72

It is an absurd condition, so we do not have any solution for x.

So, the two plants will never be of the same height.

Hence, two plants will never be of the same height.

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The length of the side GF is equal to 0.96 according to Pythagoras's Theorem.

Given angle ∠E = 16°

Length of side GE = 3.5

Also the given angle is right angled triangle. So ∠F = 90°.

Now we need to find the length of side GF.

Use Pythagoras's theorem to find the length GF.

Formula: \(C^{2} =A^{2} +B^{2}\)

i.e., \(GE^2=GF^2+EF^2\)

Now, according to trigonometric rules, sinФ= opposite /hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite / adjacent

Now, sum of all angles = 180°

So ∠G = 180°-90°-16° = 74°

∠G = 74°

Now, sin 16° = x/3.5 = opposite / hypotenuse

x = 0.275 x 3.5

x= 0.96

Therefore, the length of the side GF (x) is equal to 0.96.

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Answer:

1. Yes they are

2. No they are not

hope this helps :)

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

Answer:

5200300

Step-by-step explanation:

Use Combination

The different combinations without repetition of 12 people will be equal to 5,200,300.

When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.

As per the given information in the question,

Total number of people chosen by the board = 12

Total number of applicants = 25

Then the number of combinations without repetition will be = ²⁵C₁₂

= \(\frac{25 !}{12!(25-12)!}\)

= 25!/(12! × 13!)

= 5,200,300

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Step-by-step explanation:

A'(0,0),B'(1,2),C(3,2),D(2,0)

it is a parallelogram.

vertical distance is doubled. so false.

angle changes so false.

Answer:

Step-by-step explanation:

(103,581) • (%110)

= (103,581) • (1.10)

=  $113,939.1

The sales (in $) last month were $115,090 if the sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Let suppose x be the sales last month:

(x - 103581)/x = 0.1

x - 103581 = 0.1x

x - 0.1x = 103581

0.9x = 103581

x  = 103581/0.9

x = $115,090

Thus, the sales (in $) last month were $115,090 if the sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.

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Answer:

3 hr(s)

Step-by-step explanation:

20 km/1 hour

60km/20km = 3

LET THE BOOK BE 100$

NOW

20/100

0 CANCELS 0

SO ITS

2/10

AND ANSWER IS

5$

Answer:

80%

explanation

(book price +(notebook price =100%

percentage.) percentage )

book p.per+20&=100℅

book .p.per=(100-20)%

=80%

The maximum possible volume for a piece of carry-on luggage is given as follows:

2772 cubic inches.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

22 inches, 14 inches and 9 inches.

Hence the volume is given as follows:

22 x 14 x 9 = 2772 cubic inches.

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Answer:D 1.5 hope it helps :)

Step-by-step explanation:

Step-by-step explanation:

2x+1>11 1 is positive integers so it have to be cancelled by negative integer 1

2x>11-1

2x>10 two will be cancelled by two to get x

then we divide 2 from 10

x>5 this means x is greater than 5

{x=6,7,8,...}

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer:

7/11 are boys

Step-by-step explanation:

You add the total amount of students then put the number of boys in the numerator.

Brainliest please

Answer:

\(\frac{7}{11}\)

Step-by-step explanation:

Ratio

7:4

Boys = 7

4 = Girls

________

When solving ratios, we need to get the denominator of the fraction, which can be found by finding the total of students in the school. There are 7 boys and 4 girls, so add :

7 + 4

11

So there are 11 kids in total and 11 is our denominator. Since we know that 7 boys are in the school, we can put 7 as our numerator, therefore :

\(\frac{7}{11}\)

Answer:

finish quesiton please <3

Step-by-step explanation:

Answer:

0.9976 = 99.76% probability that he/she actually is a future terrorist

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Person identified as a future terrorist

Event B: Person is actually a future terrorist.

Probability that a person is identified as a future terrorist:

96% of \(\frac{1000}{200000000}\)

100 - 99.8 = 0.2% of \(\frac{200000000-1000}{200000000}\)

So

\(P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002\)

Probability of being identified and being a future terrorist:

100 - 99.8 = 0.2% of \(\frac{200000000-1000}{200000000}\)

\(P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999\)

What is the probability that he/she actually is a future terrorist

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976\)

0.9976 = 99.76% probability that he/she actually is a future terrorist