Equation to this please? Thank you!!

Answer:

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

Step-by-step explanation:

Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.

To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.

Answer:

Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.

The probability of selecting a CEO with an age of at least 61 years is approximately 0.0099 or 0.99%.

To find the probability that the age of a randomly selected CEO will be at least 61 years, we need to use the properties of the standard normal distribution.

Given that the average age of CEOs is 54 years and the standard deviation is 3 years, we can assume that the variable follows a normal distribution. The normal distribution is a bell-shaped curve that is symmetric around the mean.

To calculate the probability, we first need to standardize the value of 61 using the z-score formula. The z-score measures the number of standard deviations a given value is from the mean.

The z-score formula is given by:

z = (x - μ) / σ

Where:

x is the value we want to standardize (61 in this case),

μ is the mean of the distribution (54 in this case),

and σ is the standard deviation of the distribution (3 in this case).

By substituting the values into the formula, we get:

z = (61 - 54) / 3

z = 7 / 3

z ≈ 2.3333

The resulting z-score is approximately 2.3333.

Now, we need to find the probability to the right of this z-score in the standard normal distribution. This represents the probability of selecting a CEO whose age is at least 61 years.

Using a standard normal distribution table or a calculator, we can look up the area to the right of the z-score of 2.3333. The probability to the right of 2.3333 is approximately 0.0099.

Rounding to 4 decimal places, we find that the probability that the age of a randomly selected CEO will be at least 61 years is 0.0099.

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Answer: i dont know

Step-by-step explanation:

i dont kow

The statement "the t distribution is a family of similar probability distributions" is True.

The t-distribution is indeed a family of similar probability distributions. It is used in statistics to model the distribution of a random variable when the sample size is small and the population standard deviation is unknown. The shape of the t-distribution depends on the degrees of freedom, which is determined by the sample size. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution.

The t-distribution is symmetric and bell-shaped like the normal distribution, but it has heavier tails, which means it has more probability in the tails and less in the center compared to the normal distribution. The t-distribution plays a crucial role in hypothesis testing and constructing confidence intervals when working with small samples.

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Answer: They're equal to each other yes corresponding parts of congruent triangles are equal

Step-by-step explanation:

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

Size - continuous

Screen type - Qualitative

Number of channels - discrete

Step-by-step explanation:

____size ____screen type ____no of channels

_A __50 ____ projection ________298

_B __ 51 ____ projection ________ 117

_C __ 58 ____ Plasma __________423

_ D __43 ____ projection ________269

_ E __ 44 ____ Plasma __________ 289

The individual being studied are the characteristics of high definition televisions

Size of television is a continuous variable as the inches of televisions aren't finite and may not necessarily be whole numbers.

Screen type is a Qualitative variable also called categorical as it places different Television sets into distinct category based on the nature of the screen material.

Number of channela is discrete as it defines a finite number stations available. Available stations will always be whole numbers without decimals.

Answer:

Explanation:

-240 = 8y

8y = -240

8y / 8 = -240 / 8

- PNW

Mina will receive $13.33 after converting her 18 Pounds GBP to Dollars USD

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used

To change 18GBP to USD at the current exchange rate of 1.35GBP to 1 USD

Divide the Amount being converted by the exchange rate

that is, 18GBP/1.35

=13.33USD

Hence, 13.33USD is the amount that Mina will receive after converting her 18 GBP

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Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

y = 5x - 7

Step-by-step explanation:

y = mx + c

y = 5x + c

to find c, input given coordinates

8 = 5 x 3 + c

8 = 15 + c

-c = 15 - 8

-c = 7

c = -7

put that all together and you get:

y = 5x - 7

The equation of the line with a slope of 5 that contains the point (3,8) is

The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the slope is 5 and the line contains the point (3,8), we can substitute these values into the equation and solve for the y-intercept (b).

Using the point-slope form of the equation:

y - y₁ = m(x - x₁)

We have:

y - 8 = 5(x - 3)

Expanding and simplifying:

y - 8 = 5x - 15

Now, let's isolate y:

y = 5x - 15 + 8

y = 5x - 7

Therefore, the equation of the line with a slope of 5 that contains the point (3,8) is y = 5x - 7.

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Answer:

The slope is 2.

Step-by-step explanation:

Because the "x" is increasing by 2s, you take the difference between each "y" and divide by two. This gives you four dived by 2, which equals two.

For example, taking the difference between the first "y", 7, and the second "y", 11, is 4. Because the "x" is increasing by twos, you divide by two to get the difference between one "y" and the next. Therefore, the answer is 2.

Answer:

the slope of the line is 2

Step-by-step explanation:

To find the slope of a set of points you use the equation (y 2 - y 1) over (x 2 - x 1) For this equation I will do it twice, to prove that any two sets of points will work for it, so long as x 1 and y1 and x2 and y 2 are across from each other on your table.

    20, 45 will be my x 2 and y 2 points for the first equation, and 5, 15 will be my x 1 and y 1 points for the first equation. (plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation). (45 - 15) over (20 - 5). 45 minus 15 equals 30, and 20 minus 5 equals 15. So now the equation is 30/15. But this is not our final slope. This can be simplified to  2/1, because 15 goes into 30 twice, so they can both be divided by 15. 2/1 is also not its final form, because 2 divided by 1 equals 2. This is the slope of your line.

    1, 7 will be my x 2 and y 2 points for the second equation, and 3, 11 will be my x 1 and y 1 points for the second equation. (once again plug in the points into the  (y 2 - y 1) over (x 2 - x 1) equation) We get: (7 - 11) over (1 - 3).  7 minus 11 is -4, and 1 - 3 is -2. Now we have -4/-2. If you divide -4 by -2, you get positive 2, since a negative divided by a negative becomes positive. Therefore, any 2 points work to find the slope of a group of points.

The length of the diagonal is 17.

Given that, In quadrilateral ABCD, sides AB and BC both have a length of 10, and sides CD and DA both have a length of 17.

The measure of ∠ADC = 60°

AD = CD ( according to the question)

So, Δ ABC is an isosceles triangle with ∠DAC = ∠DCA.

According to the image,

Angles in a triangle add up to 180°, and since ∠ADC = 60°, the other two angles are also 60°.

And Δ ADC is an equilateral triangle.

Therefore,  AC = DA = 17

S0, the diagonal of quadrilateral ABCD is 17.

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2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer: 35 mile/hour

Step-by-step explanation:

\(r=\frac{d}{t}\)

∴ \(r=\frac{227.5}{3.5}=65\)

= 65 mile/hour

Answer:

23

Step-by-step explanation:

15% of 20 = 3  then add the 3 to the 20 to get 23

23Answer:

Step-by-step explanation:

15/100*20 = 3

20+3 = 23

We have:

Image of book on website

Wide = 1.5 inches

Tall = 3 inches

Actual book

Wide = 9 inches

Tall = ?

a) Scale used for the image:

Answer: scale = 6 inches

b) Tall actual book

Answer: tall = 18 inches

Given the linear transformation T: ℝ2→ℝ3 and the vectors u, v, and w, with T(u) = [ -1, 5, 1 ] and T(v) = [0, -1, -2], we need to find T(w).

Since T is a linear transformation, it preserves vector addition and scalar multiplication. We can express the vector w as the sum of vectors u and v, i.e., w = u + v. Using the properties of linearity, we can find T(w) by applying T to each component of the vector w.

Let's calculate T(w) step by step. Since T is a linear transformation from ℝ2 to ℝ3, T(w) will have three components. The first component of T(w) can be obtained by adding the first components of T(u) and T(v), which gives -1 + 0 = -1. Similarly, the second component of T(w) is the sum of the second components of T(u) and T(v), resulting in 5 + (-1) = 4. Finally, the third component of T(w) is the sum of the third components of T(u) and T(v), giving 1 + (-2) = -1. Therefore, T(w) = [-1, 4, -1].

In summary, the vector T(w) is [-1, 4, -1]. It can be obtained by applying the linear transformation T to the vector w = [0, -2] using the properties of linearity.

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RA can be determined, RA = 24.

Examples of transformations are given as follows:

In the context of this problem, we have a reflection, and NS and RA are equivalent sides.

In the case of a reflection, the figures are congruent, meaning that the equivalent sides have the same length, hence:

NS = RA = 24.

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Answer:

392

Step-by-step explanation:

40% of 980 = 0.4 × 980 = 392

Answer:

answer is 392

Step-by-step explanation:

Answer:

187.96cm

Step-by-step explanation:

first convert 6 feet to cm=182.88

then convert 2 inches to cm=5.08

add your answers together=187.96

Answer: Newton's law of universal gravitation is represented by F = GMm/r2 where F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg · m/s2.

Step-by-step explanation:

500Answer:

600

Step-by-step explanation:

Answer:

The answer is (-4, 2).

It shows that answer in the picture but not on your answer choices, so I would just select (-4, -2) and then discuss it with your instructor because it is most likely a typo considering the other answer choices correlate to the picture.

Answer:

128 Wheels in the garage.

Step-by-step explanation:

Given:

10 bicycle and 27 cars in the garage

To Find:

how many wheels are there in the garage?

Solution:

Knowing that each bicycle have 2 wheels..

Therefore, 10 bicycle so 10 x 2 =20 wheels

Knowing that each car have 4 wheels..

Therefore, 27 cars so 27 x 4 = 108 wheels

108 and 20 = 128 wheels

Therefore, There are 128 wheels are there in the garage...

Answer:

128 wheels.

Step-by-step explanation:

1) 10 B x 2 = 20 wheels (B is bicycles)

2) 27 C x 4 = 108 wheels (C is cars)

3) 108 + 20 = 128 wheels

Answer:

total amount will be 2200 naira after two years.

Step-by-step explanation:

\(total \ amount = P (1 + rt)\) ...make sure time is in years and rate in percentage.

using the formula:

\(200(1+5*2)\)

\(200(11)\)

\(2200\)

Here "P" is principal, "r" is rate of interest and "t" is time in years.

\(\\ \rm\Rrightarrow I=\dfrac{PRT}{100}=\dfrac{200(5)(2)}{100}={20}\)

Total:-200+20=220

Answer:

-3/4

Step-by-step explanation:

Look for rise over run

To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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