The 11th term of an arithmetic sequence is 42 and the common difference is 3 find the first term

The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

Learn more about distribution here:

https://brainly.com/question/29062095

#SPJ4

1. KW Sagittarii is roughly 10^3 times wider than the sun.2. This is because the star KW Sagittarii is 10^3 (1,000) times bigger than the Sun, and as size and width are directly proportional to one another.

Size and width are directly proportional to one another, so if the sun is 100 times wider than the Earth, and KW Sagittarii is roughly 10^5 times bigger than the Earth, then KW Sagittarii is 10^3 times wider than the sun.

This is because the ratio between the size of KW Sagittarii and the

Sun is \(10^5\):1 and the ratio between the width of KW Sagittarii and the Sun is also 10^5:1, which can be simplified to 10^3:1.

To know more about proportional visit:

https://brainly.com/question/31548894

#SPJ11

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

https://brainly.com/question/10913044

#SPJ2

Answer:

y=1

Step-by-step explanation:

The value of y where the function is undefined

Answer:

Y = 8x - 55

Step-by-step explanation:

A schematic diagram is used to describe the wiring details of a specific piece of equipment.

A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.

It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.

In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.

The connections between these components are illustrated using lines that indicate the flow of electrical current.

Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.

They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.

Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.

To know more about schematic diagrams refer here:

https://brainly.com/question/1257521#

#SPJ11

Under the assumptions of OLS, the OLS estimator is unbiased for the population slope coefficient.

the derivation of the condition E(β^​1​∣x)=β1​ and a comment on what it means:

The condition E(β^​1​∣x)=β1​ means that the expected value of the OLS estimator β^​1​ conditional on the independent variable x is equal to the true value of the population slope coefficient β1​. This condition holds under the following assumptions:

The errors are uncorrelated with the independent variable x.

The errors have a constant variance.

The errors are normally distributed.

If these assumptions are not met, then the condition E(β^​1​∣x)=β1​ may not hold. For example, if the errors are correlated with the independent variable x, then the OLS estimator β^​1​ will be biased.

Here is a comment on what the condition E(β^​1​∣x)=β1​ means.

The condition E(β^​1​∣x)=β1​ means that the OLS estimator β^​1​ is an unbiased estimator of the true value of the population slope coefficient β1​. In other words, if we repeatedly draw samples from the population and estimate the slope coefficient using OLS, then the average of the estimated slope coefficients will be equal to the true value of the slope coefficient.

The condition E(β^​1​∣x)=β1​ is important because it means that we can be confident that the OLS estimator is providing an accurate estimate of the true value of the slope coefficient.

Here are some additional assumptions that are often made in regression analysis

The independent variables are not correlated with each other.

The independent variables are measured without error.

These assumptions are not strictly necessary for the OLS estimator to be unbiased, but they do help to ensure that the estimator is more efficient.

Learn more about coefficient from the following link:

https://brainly.com/question/1038771

#SPJ11

Angela bought 16 gummy bears. It is Based on the data and money angela has.

Candice bought 8 gummy bears and Bernice bought 8 more gummy bears than Candice. Together the three girls spent £3.42 on gummy bears. This means that the cost of one gummy bear is £0.17.

To find the number of gummy bears Angela bought, we can set up a system of equations to represent the given information.

To work out how many gummy bears Angela bought, we can use the equation

where x is the number of gummy bears Angela bought. Solving this equation gives us x = 16. This means that Angela bought 16 gummy bears.

Learn more about Simple Money calculations here:

https://brainly.com/question/13391044

#SPJ4

The first number or term that appears in both sequences is equals to the sixteen.

We have two sequences, for first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. We can see that both are arithmetic sequence, which defined as a sequence (list of numbers) that has a common difference (a positive or negative constant) between the consecutive terms. Now, First number in sequence 1ˢᵗ , a₁

= 72

common difference, d₁ = 8

Similarly, for 2ⁿᵈ sequence, aₙ = 58 - 6n

First number in sequence, b₁ = 58

common difference, d₂ = 6

We have to locate the number which appears in both sequences.

The nᵗʰ term of the 1ˢᵗ sequence,aₙ = a₁+ (n-1)d₁

The nᵗʰ term of 2ⁿᵈ sequence, bₙ = b₁ +(n−1)d₂

For the same number to appear on both sequence, the nᵗʰ term must be equal, so

a₁ + (n-1)d₁ = b₁ +(n−1)d₂

=> 72 + (n-1)8 = 58 +(n-1)6

=> 8n - 8 + 72 = 58 + 6n - 6

=> 8n - 6n = 52 - 64 = - 12

=> n = -6

plugging the value of n ,

72 + (-6- 1)8 = 72 - 56 = 16

58 +(-7)6 = 58 - 42 = 16

Therefore, 16 is the first common term/ number appears in both sequences.

To learn more about Arithmetic sequence, refer:

https://brainly.com/question/6561461

#SPJ4

To find the arc length of the polar curve r =\(4e^θ\), where 0 ≤ θ ≤ π, we can use the formula for arc length in polar coordinates:

\(L = ∫[θ1, θ2] √(r^2 + (dr/dθ)^2) dθ\)

First, let's find the derivative of r with respect to θ, (dr/dθ):

\(dr/dθ = d/dθ (4e^θ) = 4e^θ\)

Now, let's plug the values into the arc length formula:

\(L = ∫[0, π] √(r^2 + (dr/dθ)^2) dθ\\= ∫[0, π] √((4e^θ)^2 + (4e^θ)^2) dθ\\\\= ∫[0, π] √(16e^(2θ) + 16e^(2θ)) dθ\\\\= ∫[0, π] √(32e^(2θ)) dθ\\= 4√2 ∫[0, π] e^θ dθ\\\)

Integratin\(g ∫ e^θ dθ\) gives us \(e^θ\):

\(L = 4√2 (e^θ) |[0, π]\\= 4√2 (e^π - e^0)\\= 4√2 (e^π - 1)\)

Therefore, the exact arc length of the polar curve r = \(4e^θ\), 0 ≤ θ ≤ π, is \(4√2 (e^π - 1).\)

To know more about arc length refer to-

https://brainly.com/question/16403495

#SPJ11

The probability that he chooses to reroll exactly two of the dice = 7/36

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

Answer:

(2+3i)(1-2i)  = (8-i)

Step-by-step explanation:

The given complex number is :

Z = (2+3i)(1-2i)

We need to find the product of the complex number

\(Z=2(1)+2(-2i)+3i(1)-6i^2\\\\=2-4i+3i-6i^2\)

We know that, \(i^2=-1\)

\(Z=2-i-6(-1)\\\\=2-i+6\\\\=8-i\)

Hence, the product of the complex number is (8-i).

Answer:

Um

Step-by-step explanation:

Its half of diameter

Are you thinking of circumference and area?

In the given cube-shaped cake, the value of c + s = 32/5.

In the given figure of the cube-shaped cake, let [RNQ] be the area of the triangle RNQ. The volume of the corresponding piece c = 2[RNQ]. The cake piece has icing on the top and on the vertical side that contains the edge QR. Hence the total area with icing is [RNQ] + 2^2 = [RNQ] + 4. Hence, c+s = 3[RNQ] + 4.

In order to determine [RNQ], introduce a coordinate system. Let Q be the origin. As the length of each edge is 2. Hence,

Q = (0,0)

P = (2, 0)

R = (0, 2)

In the coordinate system, as M is the midpoint of PS, M = (2, 1). The equation of the line QM is:

m = (1- 0)/(2 – 0) = ½

y – 0 = ½(x – 0)

2y – x = 0

As the line RN is orthogonal to QM, it has an equation is y + 2x + q = 0. As the point R lies on the line RN,

2 + 2(0) + q = 0

q = -2

Hence, RN is y + 2x -2 = 0

Substituting x = 2y into the line RN,

y + 2(2y) -2 = 0

5y = 2

y = 2/5

x = 2(2/5) = 4/5

In the triangle RNQ, x is the height from N onto RQ, the area [RNQ] = (x*RQ)/2 = 2x/2 = x = 4/5.

Hence, 3[RNQ] + 4 = 3(4/5) + 4 = 32/5.

Note: The question is incomplete. The complete question probably is: A cubical cake with edge length 2 inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where M is the midpoint of a top edge. The piece whose top is triangle B contains c cubic inches of cake and s square inches of icing. What is c+s?

Learn more about Area of the triangle:

https://brainly.com/question/17335144

#SPJ4

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

Answer:

6

Step-by-step explanation:

The I  I is just absolute value, so it will give a positive result. if a=7,

3I-7+5I

-7+5=-2, but because this is absolute value, -2=2

Then you have 3(2),

3*2=6

Answer: 46 degrees

Step-by-step explanation:

Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.

Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

\(A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

The units of the model slope depend on the units of the variables involved in the linear model. In this case, the slope represents the change in cholesterol levels (in mg/dl) per unit change in weight (in pounds). Therefore, the units of the model slope would be "mg/dl per pound" or "mg/(dl·lb)".

The slope represents the rate of change in the response variable (cholesterol levels) for a one-unit change in the predictor variable (weight). In this context, it indicates how much the cholesterol levels are expected to increase or decrease (in mg/dl) for every one-pound change in weight.

Know more about slope depend here;

https://brainly.com/question/31834010

#SPJ11

The amount of tax that Derek paid on his car is given as follows:

$749.85.

The amount of tax is obtained applying the proportions in the context of this problem.

The total cost is of $4999, with a GST tax rate of 15%, hence the amount of tax paid is obtained multiplying the total cost of $4999 by the equivalent decimal of the percentage, which is of 15/100 = 0.15, hence:

0.15 x 4999 = $749.85.

Meaning that $749.85 is the amount of GST that was included in the purchase of the car.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     \(v_{y}\) be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   \(v_{y}\)  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + (\(v_{y}\))²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = \(tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5\)

⇒ Direction = 36.5° in NE(north of east)

Answer:

27.1 mi / h; N 53° E

Step-by-step explanation

Answer:

It's D I believe.

Step-by-step explanation:

I had this question before.. hopefully this helps

Answer:

360

Step-by-step explanation: 18x20

Answer:

area of parallelogram=base ×height=20×18=360mm²

Answer:

66 feet per second

990 feet

Step-by-step explanation:

Converting 45 miles to feet,

1 mile = 5280 feet,

45 mile = 45 × 5280 = 237600 feet

45 miles per hour = 237600÷ 3600(seconds)

                              = 66 feet per second

In 1-second car travels = 66 feet

In 15-second car travels = 66 × 15 = 990 feet

To convert hours to seconds,

https://brainly.in/question/35616268

Answer:

No

Step-by-step explanation:

the graph of the equation is not a straight line.

When there is a recession, the employees will have to с learn new skills or face unemployment.

Recessions are a period of low business productivity which means that jobs would become very competitive.

An employee should therefore learn new skills that will make them more attractive in the market or they will probably end up unemployed.

Find out more on recessions and unemployment at https://brainly.com/question/1286306.

#SPJ1

Hi

5-x = (x/2)

5 =  (x/2) +x

10 = x+2x

10 = 3x

10/3 = x  

let's check :  

5- 10/3 =  15/3 -10/3 = 5/3

(10/3) /2  =10/3 * 1/2 = 10/6 = 5*2/3*2 = 5/3