5 yards=___ inches please and thank you for your help

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Answer:

3x-15=6

Step-by-step explanation:

The coordinates of the image of the point Q is Q'(3, 6).

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

From the given graph, we have point Q(-4, 4).

Here the point is translated.

After translation, the original figure is shifted from a place to another place without affecting it's size.

The rule of translation is given as the point (x, y) is translated as (x + 1, y + 2).

So the given point is (-4, 4).

(-4, 4) after translation becomes by the definition (-4 + 1, 4 + 2).

So the required point is (-3, 6).

Hence the image of point Q is (-3, 6).

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Your question is incomplete, Probably, the correct graph for the question is given below.

To answer this question let's graph the parent function f(x)=x.

Now that we have the parent function we can compare both graphs.

We notice that the function given is translated 3 units up. Therefore the answer is B.

The probability that less than 59 customers arrive in an hour during tomorrow's morning rush will be 0.0521.

From the information given, it was stated that coffee shop serves an average of 72 customers per hour during the morning rush and we eat to find the probability that less than 59 customers arrive in an hour during tomorrow's morning rush.

This will be done by using the Poisson distribution:

P(x <= 58) = [e^-72 × (72)^x]/x!

= 0.0521

Therefore, the probability that less than 59 customers arrive in an hour during tomorrow's morning rush will be 0.0521.

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Answer:

5

Step-by-step explanation:

5+12= 17

Equation/Question:

P+12=17 What does P equal in this situation?

Answer/Steps to answer:

1. Subtract 12 from both sides.

p=17-12

2. Simplify  17-12 to  5.

p=5

-------------------

Checking:

P+12=17

1. Let p=5.

5+12=17

2. Simplify  5+12 to 17.

17=17

Done by NeighborhoodDealer

Answer:

stratified sample

Step-by-step explanation:

The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.

Answer:

1350 in^2

Step-by-step explanation:

In order to solve this question, you need to find the surface area of the box. This is because the box needs to be covered by wrapping paper.

1. Formula for the surface area of a cube: A=6x^2, in which x represents the length of the cube.

2. Plug in 15 as x and solve.

A=6(15^2)

A=6(225)

A=1350

Answer: x=9

Step-by-step explanation:

The statement "Economists and accountants usually disagree in the inclusion of implicit costs into the cost analysis of a firm " is true

Accountants are the peoples who track the flow of money for the individuals and the business activities. But the Economist track the largest trends that use the money and resources of the company

So the view of the Economist and accountant on cost is different, because both of them are seeing the cost analysis of the company in different ways.  So it possible that the Economists and accountants disagree in the inclusion of implicit cost

Therefore, the given statements is true

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For you to make 5 pecan pies, it would be necessary to buy 1.9 pounds of pecans.

Based on the information displayed on the label 1 cup of pecans is equal to 99 grams.

We know 1 pecan pie requires  1 3/4 cups or 1.75 cups (3/4 = 0.75)

1.75 x 5 = 8.75 cups in total

Now, let's calculate this in grams:

8.75 x 99 = 866.22 grams

Finally, let's calculate the pounds

1 pound = 453

 x           = 866.22

x = 866.22 / 453 = 1.9

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer: 120 degrees

78 + 42 = 120

Answer:

a) £58.5

b) £117

c) £438.75

Step-by-step explanation:

Mr Singh is paid £11.70 per hour after tax is deducted.

This means that for x hours of work, his earning are given by:

\(E(x) = 11.7x\)

a) How much does he earn if he works 5 hours?

This is E(5).

\(E(5) = 11.7*5 = 58.5\)

b) How much does he earn if he works 10 hours?

This is E(10).

\(E(10) = 11.7*10 = 117\)

c) He works 37.5 hours per week. How much does he earn in a week?

This is E(37.5).

\(E(37.5) = 11.7*37.5 = 438.75\)

There are 125 of the smallest cubes that will fill the largest cube using the size of their respective volume

The volume of cube is calculated by using a × a × a = a³ where "a" is the edge.

The volume of the smallest cube = 1.5inches × 1.5inches × 1.5inches

The volume of the smallest cube = 3.375inches³

The volume of the largest cube = 7.5inches × 7.5inches × 7.5inches

The volume of the largest cube = 421.875inches³

Thus, the number of the smallest cubes it would take to fill the largest cube is derived by

421.875inches³/3.375inches³ = 125.

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Answer:

\(\displaystyle \frac{17}{2}\).

Step-by-step explanation:

Let the \(x\)-coordinate of \(P\) be \(t\). For \(P\!\) to be on the graph of the function \(y = \sqrt{x}\), the \(y\)-coordinate of \(\! P\) would need to be \(\sqrt{t}\). Therefore, the coordinate of \(P \!\) would be \(\left(t,\, \sqrt{t}\right)\).

The Euclidean Distance between \(\left(t,\, \sqrt{t}\right)\) and \((9,\, 0)\) is:

\(\begin{aligned} & d\left(\left(t,\, \sqrt{t}\right),\, (9,\, 0)\right) \\ &= \sqrt{(t - 9)^2 +\left(\sqrt{t}\right)^{2}} \\ &= \sqrt{t^2 - 18\, t + 81 + t} \\ &= \sqrt{t^2 - 17 \, t + 81}\end{aligned}\).

The goal is to find the a \(t\) that minimizes this distance. However, \(\sqrt{t^2 - 17 \, t + 81}\) is non-negative for all real \(t\!\). Hence, the \(\! t\) that minimizes the square of this expression, \(\left(t^2 - 17 \, t + 81\right)\), would also minimize \(\sqrt{t^2 - 17 \, t + 81}\!\).

Differentiate \(\left(t^2 - 17 \, t + 81\right)\) with respect to \(t\):

\(\displaystyle \frac{d}{dt}\left[t^2 - 17 \, t + 81\right] = 2\, t - 17\).

\(\displaystyle \frac{d^{2}}{dt^{2}}\left[t^2 - 17 \, t + 81\right] = 2\).

Set the first derivative, \((2\, t - 17)\), to \(0\) and solve for \(t\):

\(2\, t - 17 = 0\).

\(\displaystyle t = \frac{17}{2}\).

Notice that the second derivative is greater than \(0\) for this \(t\). Hence, \(\displaystyle t = \frac{17}{2}\) would indeed minimize \(\left(t^2 - 17 \, t + 81\right)\). This \(t\!\) value would also minimize \(\sqrt{t^2 - 17 \, t + 81}\!\), the distance between \(P\) \(\left(t,\, \sqrt{t}\right)\) and \((9,\, 0)\).

Therefore, the point \(P\) would be closest to \((9,\, 0)\) when the \(x\)-coordinate of \(P\!\) is \(\displaystyle \frac{17}{2}\).

In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

First, if we have a polynomial that the form is as follow

P(x,y)=a1x^n-1y^p-1+ a2x^n-2y^p-2 + . . . . + a0xy+c,

the degree can be found with the sum of the highest value of power of each term.

If the number of term is 3, it is called trinomial, if it is 2, the polynomial is called binomial.

So in our case, 0– 5xy3 + 9x2y is a binomial with a degree of 4, because number of term 2, degree =1 + 2 =3, upper than 2+ 1(the second term) 4xy^3– 5xy3 + 9x2y = -xy3 +9x2y, binomial degree 4,

and the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Hence, The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

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Answer:

the value of c is 25

Step-by-step explanation:

b/2a= 10/2(1)= 10/2= 5

(5)^2 = 25

x^2 + 10x + 25 = (x + 5)^2

Answer:

Hope this will help you :)

Step-by-step explanation:

The algebraic rule for the transformation is B' = (Bx + 15, By - 12)

Given data ,

To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.

Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:

B' = (Bx + dx, By + dy)

Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:

dx = 20 - 5 = 15

dy = -16 - (-4) = -12

Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)

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Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

Since each ball has an equal chance of being drawn: 16 p = 1, or ... You can either apply the first equation to find that. B = 1 - R = 3/8 ... A box contains 5 white, 6 red, and 4 black balls of identical size. If 3 balls are ... What is the probability of getting 2 red balls if we pick 3 balls from the bag randomly

Step-by-step explanation:

Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

Let \(w\) = number of white balls, \(b\) = number of blue balls

6 + \(w\) + \(b\) = 10

\(w\) + \(b\) = 4

\(\because\) \(w\) = \(b\)

\(\therefore\) \(w\) + \(b\) =

\(w\)  = \(2\)

\(P\)(\(r\)∪\(w\)) = \(P(r) + P(w) - P(r\)∩\(w)\)

= \(\frac{6}{10} + \frac{2}{10} - \frac{0}{10}\)

= \(\frac{8}{10}\)

= \(\frac{4}{5}\)

\(\therefore\) The probability of picking either a red or white ball is \(\frac{4}{5}\)  

Hope this helps :)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

do u mean factorization​?

if so, In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

Step-by-step explanation:

Hope this helps!

Answer:  it   an operation of resolving a quantity into factors; also : a product obtained by factorization

Step-by-step explanation:  hope i help

Answer:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Step-by-step explanation:

Given the equation:

\(sin(x)-2sin(x) tan(x)=0\)

To find:

The solutions of given equation in the range [0, 2\(\pi\)) i.e. 0 can be in the answer but \(2\pi\) can not be there in the answer.

Solution:

Taking \(tan(x)\) common, we get:

\(tan(x) (1-2sin(x))=0\)

The solutions can be given as:

\(tan(x) = 0\) OR \(1-2sin(x) = 0\)

Let us solve both the equations one by one:

First equation:

\(tan(x) = 0\\ \Rightarrow x=0, \pi\)

Second equation:

\(1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}\)

Therefore, the answers as a comma separated list are:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

The sample mean of the random sample is 50

The margin of error (E) is the amount of error allowed in the random sample.

The confidence interval (CI) is given by:

CI = μ ± E = (μ - E, μ + E)

Given a confidence interval of (38.02, 61.98), hence:

μ - E = 38.02     (1)

μ + E = 61.98     (2)

Hence solving equations 1 and 2 simultaneously gives:

μ = 50, E = 11.98

Hence the sample mean of the random sample is 50

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