The average of the squared distanced of the data values from the mean.

Answer:

6

Step-by-step explanation:

3 x 2 x 1

first strip you can have 3 options

second only 2 options left

last one, only 1 choice

RBY

RYB

BRY

BYR

YRB

YBR

Answer:

6 flags

Step-by-step explanation:

The flag must have stripes of 3 different colors.

Ways to arrange each stripe :

Stripe 1 x Stripe 2 x Stripe 3

Answer:

a / b = 1/7

b = a x 7

a / c = 4 /1

a = c x 4

b = a x 7

= c x 4 x 7

= c x 28

b is 28 times bigger than c

b is 28 times bigger than c. The conclusion is obtained by rearranging the equations.

A ratio is an ordered pair of integers a and b, expressed as a/b, where b cannot be zero. A proportion is an equation that sets two ratios equal to each other.

The given ratio;

a: b = 1:7

a:c= 4:1

Rearrange the given ratio we obtained;

b = a × 7

a = c × 4

Put the value of a in b get;

b= c × 4 × 7

Hence, b is 28 times bigger than c.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

The casino is making 47 cents profit on your $1 bet

Step-by-step explanation:

19(1/38) + (-1)(37/38) = -0.4736

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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Answer:

c = 36

Step-by-step explanation:

If the coefficient of \(x^{2}\) is one, then c = \((\frac{12}{2}) ^{2} = 6^{2} = 36\)

8 = 2³ and 32 = 2⁵, so

√(8) = √(2²•2) = 2√(2)

√(32) = √(2⁴•2) = 2²√(2) = 4√(2)

Then

1/√(2) + 3/√(8) + 6/√(32)

= 1/√(2) + 3/(2√(2)) + 6/(4√(2))

= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))

= 16/(4√(2))

= 4/√(2)

Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get

4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)

which you can also write as √(8).

Answer:

d^5

Step-by-step explanation:

Given the indicinal expression

d^8/d^3

Based on the law of indices, if the base are the same, subtract the powers. This is as shown:

d^8/d^3 = d^{8-3}

d^{8-3} = d^5

Hence the solution is d^5

Answer:

Heredity refers to the genetic heritage passed down by our biological parents. It’s why we look like them! More specifically, it is the transmission of traits from one generation to the next. These traits can be physical, such as eye color, blood type or a disease, or behavioral. For example, the hygienic behavior of honeybees that drives them to remove sick larvae from the nest is inherited behavior.  

254.47cm^2

Step-by-step explanation:

A= pi x 3x3

= 9pi

x2 (there is 2 circles)

18pi

C=pi x D

= pi x 6

= 6pi

Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle

Rectangle:

A=lxw

= 10.5 x 6pi

= 63pi

Add up:

63pi + 18pi = 81pi

81pi = 254.469.....

Round to nearest 100th would be 254.47cm^2

(100th is 1/100= 0.01)

Hope this helps!

\(5\sqrt{2}\)

Please refer to my Answer from these Questions to know more about the Distance Formula:

Solving for the distance between the points, \((-1, -3)\) and \((4,2)\):

\(\sqrt{(4 -(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5\sqrt{2}\)

More plainly, the sequence is defined recursively by

\(a_{n+1} = \begin{cases} 3a_n - 9 & \text{if } a_n \text{ is odd} \\ 2a_n - 7 & \text{if } a_n \text{ is even} \end{cases}\)

and some starting value \(a_1\).

We're given that the sequence alternates between two constants, \(a\) and \(b\), so that \(a_1 = a\).

• If \(a\) is even, then the second term \(b\) must be odd, since

\(a_2 = 2a_1 - 7\)

by the given rule, and 2×(even) - (odd) = (odd). So

\(a_2 = 2a-7 = b\)

In turn, the third term is even, since we jump back to \(a\). From the given rule,

\(a_3 = 3a_2 - 9\)

and so

\(3b-9 = 3(2a-7)-9 = a \implies 6a-30=a \implies 5a=30 \implies a=6\)

\(3b-9 = 6 \implies 3b = 15 \implies b = 5\)

Then the sum of the two integers is \(a+b=\boxed{11}\)

• You end up with the same answer in the case of odd \(a\), so I'll omit this part of the solution. (It's almost identical as the even case.)

Step-by-step explanation:

The y-intercept formula is y=mx+b

(m) is the slope

(b) is the y intercept

So in the given formula -45 would be the slope and 270 is the y intercept.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:900

Step-by-step explanation:

Answer:

150cm²

Step-by-step explanation:

Side= 5cm

So, 6x5²=6x5x5

6x5x5=150cm²

Hope it elps, plz mark me as brainliest.

The exact answer to the integral ∫e^(3√s)/√s ds is (2/9) e^(3√s) (3√s - 1) + C.To solve the integral ∫e^(3√s)/√s ds, we can use a substitution. Let u = √s, then du = (1/2√s) ds. Rearranging, we have 2√s du = ds.

Now, we can rewrite the integral in terms of u:

∫e^(3√s)/√s ds = ∫e^(3u) (2√s du)

Substituting back s = u^2, and ds = 2√s du, we get:

∫e^(3u) (2√s du) = ∫e^(3u) (2u) du

Now, we can evaluate this integral:

∫e^(3u) (2u) du = 2 ∫u e^(3u) du

To integrate this expression, we can use integration by parts. Let u = u and dv = e^(3u) du. Then, du = du and v = (1/3) e^(3u).

Applying integration by parts, we have:

2 ∫u e^(3u) du = 2 (u * (1/3) e^(3u) - ∫(1/3) e^(3u) du)

Simplifying the right-hand side, we have:

2 (u * (1/3) e^(3u) - (1/3) ∫e^(3u) du)

Integrating ∫e^(3u) du gives us (1/3) e^(3u):

2 (u * (1/3) e^(3u) - (1/3) * (1/3) e^(3u) + C)

Combining terms and simplifying, we obtain:

(2/9) e^(3u) (3u - 1) + C

Finally, substituting back u = √s, we have:

(2/9) e^(3√s) (3√s - 1) + C

Therefore, the exact answer to the integral ∫e^(3√s)/√s ds is (2/9) e^(3√s) (3√s - 1) + C.

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Answer:

7/9

Step-by-step explanation:

Multiply \(\frac{2}{3}\) by 3 to get the common denominator of 9. Whatever you do to the top, you do to the bottom too.

So you would do \(\frac{2}{3}\) x \(\frac{3}{3}\)  to get \(\frac{6}{9}\)

Add \(\frac{1}{9}\) to \(\frac{6}{9}\) to then get \(\frac{7}{9}\)

So your answer would be \(\frac{7}{9}\)

The evaluation approach described in the given scenario is B.) forced distribution.

Forced distribution is an evaluation approach where performance ratings are distributed among employees according to predetermined percentages. In this case, the professor has predetermined that 10% of the class will receive an "A", 20% will receive a "B", 40% will receive a "C", 20% will receive a "D", and 10% will receive an "F".

This approach imposes a forced ranking system that restricts the distribution of grades based on predetermined proportions. Forced distribution can be useful in certain contexts as it helps differentiate performance levels and prevent grade inflation or deflation.

However, it also has limitations, as it may not accurately reflect individual performance and can create a competitive environment among students. It is important for educators to carefully consider the implications and potential drawbacks of using forced distribution in educational settings.

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Answer:

true

Step-by-step explanation:

.............................

This question is based on system of equations.The system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 16  and  6x + 24y = 258

The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 24 grams. The jeweler made a total of 16bracelets and necklaces using 258 grams of gold.

According to the question,

Let x represent the number of bracelets  and  y represent the number of necklaces that the jeweler made.

The jeweler made a total of 16 bracelets. This means that

⇒ x + y = 16

It is given that, the amount of gold in each bracelet is 6 grams and  in each necklace is 24 grams. The jeweler made a total of 16bracelets and necklaces using 258 grams of gold. This means that,

⇒ 6x + 24y = 258

Therefore, the system of equations that is  used to determine the number of bracelets made and the number of necklaces made is

x + y = 16 and  6x + 24y = 258

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The correct equation is, x = (1/3)\(cos^{-1}\)(y/8).

The given equation is,

y = 8 cos 3x,

And we want to solve for x where x is restricted to the interval [0, π/3].

To solve for x,

We have to isolate x on one side of the equation.

Now dividing both sides by 8 we get,

⇒ y/8 = cos 3x

Now,

We can use the inverse cosine function to solve for x.

Here, we have to be careful because the inverse cosine function only gives us solutions in the range [0, π], which is larger than our restricted interval.

To get a solution in our restricted interval,

we have to adjust our solution by adding or subtracting multiples of 2π/3. This is because cos 3x has a period of 2π/3, which means that the function repeats itself every 2π/3 units.

Therefore,

⇒ x = (1/3) \(cos^{-1}\)(y/8) + (2nπ/3),

where n is an integer.

We have to choose the value of n that gives us a solution in the interval

[0, π/3].

Since \(cos^{-1}\)(y/8) gives us a solution in the interval [0, π],

we can use the following values of n,

n = 0,

for x in [0, π/3]

n = 1,

for x in [π/3, 2π/3]

n = 2,

for x in [2π/3, π]

So, the solution for x in the interval [0, π/3] is,

⇒ x = (1/3)\(cos^{-1}\)(y/8)

Therefore,

The correct option is x = (1/3)\(cos^{-1}\)(y/8).

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The jewelry store sells a total of 50 different ring options.

To determine the total number of ring options, we need to multiply the number of options for each category together.

First, we have two categories: metal (gold and platinum) and gemstone (five options).

For the metal category, we have two choices: gold or platinum.

For the gemstone category, we have five choices: let's say they are diamond, ruby, emerald, sapphire, and amethyst.

To calculate the total number of ring options, we multiply the number of choices in each category:

Number of metal choices = 2 (gold or platinum)

Number of gemstone choices = 5 (diamond, ruby, emerald, sapphire, amethyst)

Total number of ring options = Number of metal choices × Number of gemstone choices

= 2 × 5

= 10

Therefore, the jewelry store sells a total of 10 different ring options.

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Answer:

a parallelogram

i think i spelled that right lol

Step-by-step explanation:

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Answer:

x = -13/3

Step-by-step explanation:

Given: x-6/9 = -5

You want to isolate the variable (x).

To make this easier, turn -5 into -45/9 (common denominator w/ -6/9)

Then, add -6/9 to -45/9.

x = -39/9

Simplify.

x = -13/3

Answer:

ight so combine the 14x and the 4x thats 18x then divide by 18 90 divided by 18 is 5 so x is 5

Step-by-step explanation: