d) if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

\(=-1\frac{5}{9}\)

Step-by-step explanation:

We want to write:

\(-1.\bar{5}\)

As a mixed number in the simplest form.

We can use the following algebraic trick. First, we can ignore the negative and add it on the very end. So, we have the number:

\(1.55555...\)

Let's let this equal to n. So:

\(1.55555...=n\)

Now, we will multiply n by 10^x for the number of repeating digits x.

There is only one digit repeating (the 5). So, we will multiply both sides by 10^1 or just 10. This yields:

\(15.55555...=10n\)

Now, we will subtract n from both sides. This yields:

\(15.5555...-n=10n-n\)

On the right, we will just get 9n.

However, let's replace n with 1.5555... on the left. This yields:

\(15.5555...-1.5555...=9n\)

All of the repeatings 5s will cancel. 15-1 is 14. So:

\(14=9n\)

Now, divide both sides by 9. So, our n is:

\(n=\frac{14}{9}\)

And since we originally set n to be 1.5 repeating, this is equivalent to:

\(n=1.\bar{5}=\frac{14}{9}\)

And now, we can add back the negative:

\(-1.\bar{5}=-\frac{14}{9}\)

We can rewrite this as:

\(=-(\frac{9}{9}+\frac{5}{9})\)

So, as a mixed fraction, our decimal is:

\(=-1\frac{5}{9}\)

And we're done!

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and any point on the plane. We can use the formula for the distance between a point and a plane. The point on the plane nearest to the origin is (2, 12, 2).

distance = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)

where (x, y, z) is any point on the plane, and a, b, c, and d are the coefficients of the plane equation.

In our case, the plane equation is 4x - y + 4z = 40, so a = 4, b = -1, c = 4, and d = -40. The distance between the origin and any point on the plane is:

distance = |4x - y + 4z - 40| / sqrt(4^2 + (-1)^2 + 4^2)

We want to minimize this distance, so we need to find the point on the plane that makes the distance as small as possible. To do this, we can use Lagrange multipliers:

Let f(x, y, z) = (x^2 + y^2 + z^2) be the function we want to minimize subject to the constraint 4x - y + 4z = 40. We can write this as:

grad(f) = λ grad(g)

where grad(f) = <2x, 2y, 2z> and grad(g) = <4, -1, 4>. Solving for x, y, z, and λ, we get:

x = 2, y = 12, z = 2, λ = 8 / sqrt(33)

Therefore, the point on the plane nearest to the origin is (2, 12, 2).

To find the point on the plane 4x - y + 4z = 40 nearest to the origin, we can use the formula for the distance between a point and a plane: D = |Ax + By + Cz + D| / √(A² + B² + C²).

In this case, A = 4, B = -1, C = 4, and D = -40. Let's plug in the origin (0, 0, 0) for (x, y, z):

D = |(4*0) - (1*0) + (4*0) - 40| / √(4² + (-1)² + 4²)
D = |-40| / √(16 + 1 + 16)
D = 40 / √33

Now, we use the normal vector (4, -1, 4) and multiply it by the distance D to find the nearest point (x, y, z):

x = (4 * 40) / √33
y = (-1 * 40) / √33
z = (4 * 40) / √33

The nearest point (x, y, z) on the plane 4x - y + 4z = 40 to the origin is approximately (4.94, -1.24, 4.94).

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You only showed one btw.

75%=3/4

Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are fractions of 100, we know that 75% is equivalent to \(\frac{75}{100}\).

Simplifying \(\frac{75}{100}\):

Therefore, 75% as a simplified fraction is \(\frac{3}{4}\).

Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

Answer:

Step-by-step explanation:

dddfykb

By using the concept of similar triangles, we find the height of the person to be 6 ft if his shadow is 10 ft long.

We can consider two triangles - one formed by the person, their shadow, and a line connecting the person to the top of the street light, and the other formed by the street light, its shadow, and the same line connecting it to the person.

Let's call the height of the person "h". Then, we can write:

h / 10 = 30 / 50

Here, we have used the fact that the height of the street light is 30 ft and its shadow is 50 ft long. We can simplify this equation to get:

h = 10 x 30 / 50 = 6

Therefore, the height of the person is 6 ft.

To understand this visually, imagine two similar triangles, one larger than the other. The ratio of the corresponding sides of the two triangles is constant.

We can use this fact to solve the problem. In this case, the ratio of the height of the street light to the length of its shadow is the same as the ratio of the height of the person to the length of their shadow.

By setting up and solving the resulting equation, we can find the height of the person. It's important to note that this solution assumes that the person's shadow is cast at the same time as the street light's shadow. If the person's shadow is cast at a different time, the solution may not be accurate.

Additionally, this solution assumes that the ground is flat and level, with no obstructions that could affect the length or direction of the shadows.

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To determine the number of aardvarks that were there last year, we will have to use the formula for exponential growth. Exponential growth is a type of growth that increases in size exponentially over time.

The formula for exponential growth is given by the equation:

\(Nt = N\times(1 + r)^t,\)

where N₀ is the initial population, r is the annual growth rate, t is the time in years, and Nt is the population after t years.Let's use this formula to find the number of aardvarks last year. Given that the current population of aardvarks is 756, and the growth rate is 8%, we can write the equation as

\(:Nt = N \times (1 + r)^t756 = N \times(1 + 0.08)^1So, N = 756 / (1 + 0.08)^1\)

Now, we need to find the population of aardvarks last year, which is t = 1 year before.

Thus, plugging in t = 1, we get

:\(N = 756 / (1 + 0.08)^1N= 700\)

Hence, there were 700 aardvarks last year.

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Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

A total of 240 participants are required for the study.

In a between-subjects factorial design, researchers manipulate two or more independent variables to examine their effects on the dependent variable. In this design, participants are randomly assigned to one of the treatment groups formed by the combination of the levels of the independent variables.

In a 2x4 factorial design, there are two independent variables, each with two levels. The first independent variable has two levels, and the second independent variable has four levels. Therefore, there are eight possible combinations of the independent variables, andbare assigned to each of these combinations.

To calculate the total number of participants required for the study, we simply multiply the number of participants per combination by the total number of combinations. Number of levels for the first independent variable (2) multiplied by the number of levels for the second independent variable (4) multiplied by the number of participants per cell (30).

In this case, we have:

30 participants per combination x 8 combinations = 240 total participants

So the total number of participants required is:

2 x 4 x 30 = 240 participants.

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A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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Answer:

-2, -4

Step-by-step explanation:

Its -14  :>

Randoml spam letters bc it asked me to

Answer:

D

Step-by-step explanation:

C is the point - 4

the opposite of a number is its negative , that is

- (- 4) = + 4

the opposite of point C is therefore 4

Answer:

Yes

Step-by-step explanation:

plug in the point in the equation

5(-2) - 2(4) < 6

-10-8<6

-18<6

if the 6 was negative then this still works

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

See below

Step-by-step explanation:

See graph below

just an addition to the great reply above by jsimpson11000

Check the picture below.

Step-by-step explanation:

We have to find the sum of 102 + 105 + 108 + ... + 996 + 999.

Notice that 102 = 3 * 34 and 999 = 3 * 333. Hence there are 333 - 34 + 1 = 300 terms.

Hence the sum is 300(102 + 999)/2 = 1101 * 150 = 165,150.

The awnser is 165,150

Answer:

125 degrees

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

check the picture

Answer:

\(0.09375\)

Step-by-step explanation:

the total number of balls = 3 + 3 + 2 = 8

Let p be the probability of choosing a green ball, replacing it, and then choosing a yellow ball.

\(p=p\left( \text{choosing a green ball} \right) +p\left( \text{choosing a yellow ball} \right)\)

  \(=\frac{2}{8} \times \frac{3}{8}\)

  \(=\frac{6}{64}\)

  \(= 0.09375\)

Answer:

5.5 = AB

Step-by-step explanation:

take 62 degree as reference angle

using cos rule

cos 62 = adjacent / hypotenuse

0.46 = AB / 12

0.46*12 = AB

5.52 = AB

5.5 = AB

The length of side AB in the given right angle triangle of hypotenuse  12 cm is  5.7 cm.

A triangle with one angle at \(90^o\) is called right angle triangle.

Given that:

Hypotenuse = 12 cm

\(\theta = 62^o\)

The length of side AB in the given right angle triangle is calculated as:

Using trigonometric function,

\(\cos\theta = \dfrac{base}{hypotenuse}\)

Let, the value of base be x

Substitute the values in the given formula:

\(\cos 62^o = \dfrac{x}{12}\)

Using the trigonometric table, the value of \(\cos 62^o\) is 0.4694

\(0.4694 \times 12\)= x

x= 5.6328

x = 5.7

Thus, the length of side AB to 1 decimal place is 5.7 cm

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Answer:

(3^2(-2)^6)/5^4

Step-by-step explanation:

See attached image.

Answer:

x=7+ the square root of 85 /2  ,  x = 7- the square root of 85/2

Step-by-step explanation: hope I helped

Answer:

\(x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

Quadratic Formula :-

For a quadratic equation ax² + bx + c = 0 , by using quadratic formula the roots of the equation are :-

\(x = \frac{-b + {\sqrt{b^2 - 4ac} } }{2a} \:\: or \:\: \frac{-b - \sqrt{b^2 - 4ac} }{2a}\)

__________________________________________________________

Lets solve the equation x² - 7x - 9 = 0 by quadratic formula.

\(=> x = \frac{-(-7) + \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1} \:\: or \:\: \frac{-(-7) - \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1}\)

\(=> x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}\)

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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The unit selling price the variable cost and the contribution margin per unit, the operating leverage of Teague Co. is 4.89.

Unit is a measurement of a quantity, such as length, weight, time, temperature, or volume. It is used to quantify and compare different measurements and is necessary for meaningful communication about physical quantities. Standardized units help to ensure accurate communication between people and machines and allow for the comparison of measurements across different systems and contexts.

Break-even point in units of QQ and ZZ:

a. Product QQ units: 3,000,040/(340×0.7) = 12,089 units

b. Product ZZ units: 3,000,040/(400×0.3) = 7,501 units

Operating Leverage is calculated by dividing the contribution margin by the income from operations.

Operating leverage = Contribution Margin/Income from operations

Operating leverage = 231,700/47,300

Operating leverage = 4.89

Therefore, the operating leverage of Teague Co. is 4.89.

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Complete questions: Olmstead Company has fixed costs of $3,000,040. The unit selling price, variable cost per unit, and contribution margin per unit for the company's two products follow: Product Selling Price Variable Cost per Unit Contribution Margin per Unit QQ $660 $320 $340 ZZ 940 540 400 The sales mix for Products QQ and ZZ is 70% and 30%, respectively. Determine the break-even point in units of QQ and ZZ. If required, round your answers to the nearest whole number. a. Product QQ units b. Product ZZ units Teague Co. reports the following data: Sales $514,900 Variable costs 283,200 Contribution margin $231,700 Fixed costs 184,400 Income from operations $47,300 Determine Teague Co.'s operating leverage. Round your answer to one decimal place.

Answer:

1

Step-by-step explanation:

- 3/5 divided by 12/20 = 3/5 * 20/12 = 60/60 = 1

Step-by-step explanation:

hope you can understand

Given the above transformation by counterclockwise rotation, the new coordinates will be given as:

F (7,  -18)

G (12, -15)

H (12, -11)

I (7,   -7).

In math/geometry, the reconfiguration of a geometric shape such that there is a change from it's initial image is called transformation.

In this case, the actual dimensions of the shape were unaltered but it's coordinates did change.

See the attached and:

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