2, 2, 2, 3, 4, 4, 11
What is the median of the seven data values shown?

Answer:

x = 13

Step-by-step explanation:

A linear pair of angles sum to 180° , then

2x + 9 + 10x + 15 = 180 , that is

12x + 24 = 180 ( subtract 24 from both sides )

12x = 156 ( divide both sides by 12 )

x = 13

each day is 24 hours.

so minus 11 from 24 , 5 times, since theyre 7 days in a week.

I THINK IVE ALREADY LEARNED THIS BUT IM NOT GREAT AT MATH <3

The stochastic process for the function G = G(S, t) is given by:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\]\)

The stochastic process for G^2 is given by:

\(\[d(G^2) = \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt + 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2\]\)

Let us now analyze each section in a detailed way:

i) Using Ito's lemma, we can find the stochastic process \($dG$\) followed by \($G^2$\) as follows:

Applying Ito's lemma to \($G(S, t)$\), we have:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2.\]\)

For \($G = G(S, t)$\), the first term \($\frac{\partial G}{\partial t}dt$\) is straightforward as it is the partial derivative of \($G$\) with respect to \($t$\) multiplied by \($dt$\).

The second term \($\frac{\partial G}{\partial S}dS\) can be obtained by taking the partial derivative of $G$ with respect to \($S$\) and multiplying it by \($dS\).

The third term \($\frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\) involves the second partial derivative of \($G$\) with respect to \($S$\), and it is multiplied by \($(dS)^2\).

ii) To find the stochastic process for $G^2$, we substitute $G = G(S, t)$ into the equation derived above:

\(\[d(G^2) = 2GdG + (dG)^2.\]\)

Expanding and substituting the value of $dG$, we get:

\(\[d(G^2) = 2G\left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right) + \left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right)^2.\]\)

Simplifying the above expression, we can write:

\(d(G^2) &= \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt &\quad+ 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2.\)

The above equation represents the stochastic process for $G^2$.

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Answer:

A closed circle on 12, going to the left.

Step-by-step explanation:

h − 9 ≤ 3

  + 9 + 9

h ≤ 12

Look for a closed circle on 12, going to the left.

Hope that helps!

Answer:

12 possible outcomes

Step-by-step explanation:

Choosing 1 vehicle from 2 = 2C1 = 2

Choosing 1 color from 3 = 3C1 = 3

Choosing 1 type from 2 = 2C1 = 2

Number of possible outcomes :

2C1 * 3C1 * 2C1

2 * 3 * 2

= 12 different possible outcomes

Answer:

x= -2

Step-by-step explanation:

8-2=6

also, 8-8=0, 6-8= -2

x=-2

Hope this helps:)- please crown me brainliest!

Answer:

x= -12

Step-by-step explanation:

-22+10 = -12

you have to do the opposite operation

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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94 cause 50- -60=110 then 110-16=94

Answer:

46k + 36cm - 20

Step-by-step explanation:

Expand 4(9k + 9m - 5) by the distributive property.

Answer:

36k + 36m - 20

Step-by-step explanation:

\(4(9k + 9m - 5) \\\\4 \cdot9k + 4\cdot9m - 4\cdot5 \\\\36k + 36m - 20\)

To find the equilibrium price and quantities, we need to set the demand and supply functions equal to each other. P and Q = 10 in this case.

Demand: P = 20 - Q

Supply: P = Q

Equating the two equations:

20 - Q = Q

Solving for Q:

2Q = 20

Q = 10

(a) Equilibrium price:

Substituting the equilibrium quantity (Q = 10) into either the demand or supply equation:

P = 10

Therefore, the equilibrium price is $10.

(b) Consumer surplus (CS):

To find consumer surplus, we need to calculate the area below the demand curve and above the equilibrium price.

Consumer surplus = 0.5 * (20 - 10) * 10 = $50

Producer surplus (PS):

To find producer surplus, we need to calculate the area below the equilibrium price and above the supply curve.

Producer surplus = 0.5 * 10 * 10 = $50

Total surplus (TS):

Total surplus is the sum of consumer surplus and producer surplus.

Total surplus = CS + PS = $50 + $50 = $100

Price ceiling:

(i) When a price ceiling of $14 is imposed, the quantity demanded and supplied will be the equilibrium quantity (Q = 10), as the price ceiling does not affect the equilibrium.

(ii) When a price ceiling of $10 is imposed, the quantity demanded will be 10, but the quantity supplied will be determined by the price ceiling of $10.

Price floor:

(1) When a price floor of $12 is imposed, the quantity demanded will be determined by the equilibrium quantity (Q = 10), but the quantity supplied will be 10, as the price floor does not allow prices to go below $12.

(2) When a price floor of $8 is imposed, the quantity demanded and supplied will be the equilibrium quantity (Q = 10), as the price floor does not affect the equilibrium.

Note: Since the inverse supply function is not provided, we assume that it is a linear function with a positive slope, which intersects the inverse demand function at the equilibrium price and quantity.

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Answer:

y = 3/2x + 1

Step-by-step explanation:

y = 3/2x + b

-2 = 3/2(-2) + b

-2 = -3 + b

1 = b

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

circle and two lines that don't touch and are the same length are parrarell

Answer:

1.B

2.B

hope this helps

Answer:

B. 62mph

B. 55weeks

Step-by-step explanation:

496 ÷ 8 = 62

15weeks/3houses = x weeks/11houses

15 × 11 ÷ 3 =55weeks

good luck, i hope this helps :)

We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)

Answer:

c

Step-by-step explanation:

The answer is a) The probability is 0.32 ; b)The probability is 0.68 ; and c) Office or den.

a) The probability that a PC is in a bedroom is the sum of the probabilities of a PC being is an adult bedroom, child bedroom or other bedroom:

\(P_{bedroom} = P_{adult} +P_{child}+P_{other}\)

\(P_{bedroom}\) = 0.03 + 0.15 + 0.14

\(P_{bedroom}\) = 0.32.

b) The probability that a PC is not in a bedroom is 100% minus the probability of it being in a bedroom:

\(P_{ notbedroom}\) = 1 - \(P_{bedroom}\)

\(P_{ notbedroom}\) = 1 - 0.32

\(P_{ notbedroom}\) = 0.68.

c) The expected room to find a PC from a randomly selected household is the room with highest likelihood of having a PC according to Consumer Digest. The Office or den, is the most probable room with a 0.40 chance. You would expect to find a PC in the Office or den.

Full question:

According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adult bedroom: 0.03 Child bedroom: 0.15 Other bedroom: 0.14 Office or den: 0.40 Other rooms: 0.28 (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in a bedroom? (c) Suppose a household is selected at random from households with a PC; in what room would you expect to find a PC?

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Answer:

4.2 you should use a calculator for these

Step-by-step explanation:

SOLUTION

The standard from of a parabola can be used to obtain the y-intercept

The Factored form can be used to obtain the roots, also known as the x-intercepts.

The Vertex form can be used to obtain the vertex.

Answer: the amount of socks they will collect in four days is less than the amount of socks they plant to collect, in other words 915<1500 socks.

Step-by-step explanation:

If they collect 183 pairs of socks in one day, and there are four days left, then 183 x 5 = 915 (pairs of socks) in five days. They need to collect 1,500 pairs.

Answer:

y = 7      x = 45

Step-by-step explanation:

\(x=45\) because the triangle is a right angle isocele triangle so 180-90 =90

90 / 2 =45 = x

\(\frac{7\sqrt{\:2}}{\sin \left(90\right)\:}=\frac{y}{\sin \left(45\right)}\) so  y = 7

Answer:

y =7

this is your answer

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

So negitive have the - besides it and + mean its negative .

Answer:

-29

-6

.5

105

Step-by-step explanation:

Answer:

Length of short side is 62 cm and length of long side is \(62\sqrt{3}\) cm

Step-by-step explanation:

There's specific "rule" for 30-60-90 triangle

short leg will be x

long leg will be \(x\sqrt{3}\)

hypotenuse will be 2x

So, when you know hypotenuse is 124 (2x)

To find short leg, you divide 124 by 2

short leg will be 62 (x)

To find long leg, you plug in the x (in this case it's 62)

long leg will be \(62\sqrt{3}\)

1) For the polynomial \(P(x) = x^4 + 4x^2\):

The zeros of \(P\) are \(x = 0\) (with multiplicity 2) and \(x = \pm 2i\) (complex zeros). The polynomial can be factored as \(P(x) = x^2(x^2 + 4)\).

To find the zeros of \(P(x)\), we set \(P(x)\) equal to zero and solve for \(x\):

\[x^4 + 4x^2 = 0.\]

We can factor out a common term of \(x^2\) from both terms:

\[x^2(x^2 + 4) = 0.\]

Using the zero product property, we set each factor equal to zero:

\[x^2 = 0 \quad \text{and} \quad x^2 + 4 = 0.\]

For the first equation, \(x^2 = 0\), we find \(x = 0\) with multiplicity 2. For the second equation, \(x^2 + 4 = 0\), we subtract 4 from both sides and take the square root:

\[x^2 = -4 \quad \Rightarrow \quad x = \pm 2i.\]

Therefore, the zeros of \(P(x) = x^4 + 4x^2\) are \(x = 0\) (with multiplicity 2) and \(x = \pm 2i\). The polynomial can be factored as \(P(x) = x^2(x^2 + 4)\).

2) For the polynomial \(P(x) = x^3 - 2x^2 + 2x\):

The zeros of \(P\) are \(x = 0\) (with multiplicity 1) and \(x = \pm 1\) (real zeros). The polynomial can be factored as \(P(x) = x(x-1)(x+1)\).

To find the zeros of \(P(x)\), we set \(P(x)\) equal to zero and solve for \(x\):

\[x^3 - 2x^2 + 2x = 0.\]

We can factor out a common term of \(x\) from each term:

\[x(x^2 - 2x + 2) = 0.\]

Using the zero product property, we set each factor equal to zero:

\[x = 0, \quad x^2 - 2x + 2 = 0.\]

The quadratic equation \(x^2 - 2x + 2 = 0\) does not have real solutions, as its discriminant (\(-2^2 - 4(1)(2) = -4\)) is negative. Therefore, there are no additional real zeros.

Therefore, the zeros of \(P(x) = x^3 - 2x^2 + 2x\) are \(x = 0\) (with multiplicity 1) and \(x = \pm 1\). The polynomial can be factored as \(P(x) = x(x-1)(x+1)\).

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Answer: its B) test statistic

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3.3 + -1 is 2.3

2.3 - -1.7 is 4

Answer:

D) $4.00

Step-by-step explanation:

This is because looking closely, the slope is 8/2, it goes up 8 and over 2 make it 8 divided by 2 giving you 4, therefore the choice narrow down to 4, or 4 dollars