(T/F) the estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line.

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

well,the solution is x=4 y=0.... if that helps

Answer: C, divide both sides by 3!

Why is this the answer?:
You need to get x alone, to do that, you need to get rid of the coefficient of 3.
3 is being multiplied by x (this is implied since the coefficient is being pressed against a variable).
You're gonna want to do the inverse operation to get x alone.
What's the opposite of multiplication: Division!
You need to divide by 3 on both sides.

The two 3s will cancel out, leaving a 1x (aka just x), and 7 on the other side!

Hope this helps you! :)

Step-by-step explanation:

figure for the triangle with ab

(a) P(En(FUG)) = P(E)P(FUG) found by using the multiplication rule of probability.

Using the multiplication rule of probability, we have P(En(FUG)) = P(En∩F∩G) = P(E)P(F)P(G), since E, F, and G are independent events. Therefore, P(En(FUG)) = P(E)P(FUG).

(b) We want to show that P(A∩B) = P(A)P(B), given that A and B are independent events. Using the definition of independent events, we know that P(A∩B) = P(A)P(B|A) = P(A)P(B), since P(B|A) = P(B) by the independence of A and B. Therefore, A and B are independent events.

(c) To determine whether X and Y are independent, we need to check if P(X=x∩Y=y) = P(X=x)P(Y=y) for all x and y. We have P(X=0∩Y=0) = 1/2, P(X=0) = 1/2, and P(Y=0) = 1/2.

Therefore, P(X=0∩Y=0) ≠ P(X=0)P(Y=0), which implies that X and Y are not independent. In fact, we can compute all possible joint probabilities and see that none of them satisfy the condition for independence.

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The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

We have,

To find the length of the longer diagonal of the parallelogram, we can use the law of cosines.

The law of cosines states that in a triangle with side lengths a, b, and c, and angle C opposite side c, the following equation holds true:

c² = a² + b² - 2ab * cos(C)

In this case, we have side lengths AB = 4 ft and angle A = 30°, and we want to find the length of the longer diagonal.

Let's denote the longer diagonal as d.

Applying the law of cosines, we have:

d² = AB² + AB² - 2(AB)(AB) * cos(D)

d² = 4² + 4² - 2(4)(4) * cos(80°)

d² = 16 + 16 - 32 * cos(80°)

Using a calculator, we can calculate cos(80°) ≈ 0.1736:

d² = 16 + 16 - 32 * 0.1736

d² ≈ 16 + 16 - 5.5552

d² ≈ 26.4448

Taking the square root of both sides, we find:

d ≈ √26.4448

d ≈ 5.1427 ft (rounded to the nearest tenth)

Therefore,

The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

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The given function is y = x√16 - x².

We are to find all the points on the graph y = x√16 - x² where the tangent line is horizontal. The tangent line is horizontal at points where the derivative of the function is equal to zero. Thus, we first find the derivative of y with respect to x. y = x√16 - x²

The derivative of y with respect to x is given as follows: d/dx [y = x√16 - x²]

= d/dx [y = x(16-x²)^0.5 - x²]

Let u = 16 - x², then we get dy/dx = d/dx [x(16-x²)^0.5 - x²]

= d/dx [xu^0.5 - x²]

= u^0.5 + xu^0.5/2 - 2x

The horizontal tangent occurs at a point where dy/dx = 0. Then we solve for x such that: dy/dx = 0

= u^0.5 + xu^0.5/2 - 2x

=> 0 = u^0.5 + xu^0.5/2 - 2x

=> 0 = (16 - x²)^0.5 + x(16 - x²)^0.5/2 - 2x

=> 0 = (16 - x²)^0.5(1 + x/2 - 2x/(16 - x²)^0.5)

Squaring both sides of the equation gives:0 = (16 - x²)(1 + x/2 - 2x/(16 - x²))²

= (16 - x²)(1 + x/2 - 2x/(16 - x²))(1 + x/2 - 2x/(16 - x²))

= (16 - x²)(1 + x/2 - 2x/(16 - x²))(18 - 3x + x²)/(16 - x²)

= 0

From this equation, it follows that 16 - x² = 0 or 1 + x/2 - 2x/(16 - x²)

= 0.

From the first equation, we get: x = ±4. From the second equation,

we get:1 + x/2 = 2x/(16 - x²)

=> (16 - x²)/2 + x = 0

=> 16 - x² + 2x = 0

=> x² - 2x + 16 = 0Using the quadratic formula to solve for x,

we get: x = [2 ± (2² - 4*1*16)^(1/2)]/2

= [2 ± 6i]/2

= 1 ± 3i

Thus, the points on the graph y = x√16 - x² where the tangent line is horizontal are (-4,0), (4,0), (1 + 3i, 4 - 3i), and (1 - 3i, 4 + 3i).

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Given the expression:

sin(135° - 60°)

Let's find the exact value of the expression.

First simplify the expression in the parentheses:

sin(135° - 60°) = sin(75°)

The exact value of sin(75°) is:

Part B.

Given the expression:

sin135° - cos60°

Let's find the exact value.

Apply the reference by finding the equivalent angle in the first quadrant.

We have the following:

Therefore, the exact value of the expression is:

ANSWER:

• Part A.

• Part B.

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

you would get around 1.07 or 5.35

Step-by-step explanation:

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

The measure of an angle ∠TQU is 26.6° if  PQ=3 and QR=4

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.

Given,

Rectangle PQRS has PQ=3 and QR=4

The points T and U are on side PS such that PT=US=1

As PQRS is rectangle so opposite sides of rectangle should be equal.

PS=QR and PQ=RS

QR=4, PS=4

But, PS=PT+TU+US

4=1+TU+1

TU=4-2

TU=2

And PU=PT+TU

1+2=3

PU=3

Consider, ΔQPU, Right angled at P.

We know that,

tan Q=PU/PQ

tan Q=3/3

tan Q=1

Q=tan⁻¹

Q=45°

∠PQU=45°

Now, let us consider ΔQPT is right angled at P

tan Q=PT/PQ

tan Q=1/3

Q= tan⁻¹(1/3)

Q=18.43°

∠PQT=18.43°

∠PQU=∠PQT+∠TQU

45°=18.43°+∠TQU

∠TQU=45°-18.43°

∠TQU=26.57°

∠TQU≈26.6°

Therefore, the measure of ∠TQU is 26.6°.

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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The The  cost of buying 5 CDs will be $52.

Since  $2 represents the cost of  the 5 used CDs

We can generate a formular which is \((20+4X)\)

Let Y  be  the amount of extra CDs  that is been purchased.

Then the value of X will be the  number CDs minus 5 , since the first 5 are the used CDs bundled into the $20 group.

Then the equation can be set as

20+4(13-5)

2+4(8)

20+32

52.

6 CDs would cost $30

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(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

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No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

Answer:

<B = 68.2

Step-by-step explanation:

use inverse trig to solve this problem.

you have an opposite and adjacent side for <B, so you will use tangent.

type this into your calculator: tan-1(5/2)

68.19859051

round to the nearest tenth

Hope This Helps!!

Answer:

AB^2=AC^2+CB^2

= 5^2+ 2^2

= 25+ 4

= 29

=5.38

Answer:

W= 4.8 yards

Step-by-step explanation:

The area of a rectangular room can be calculated as follows:

A=W*L

Where W is the width and L is the length of the room

John's rectangular room has an area of 12 square yards and its length is 2 1/2 yards.

With the data provided we can easily find the width of the room by solving the formula of the area for W:

\(\displaystyle W =\frac{A}{L}\)

The length must be converted to improper fraction:

\(\displaystyle L=2\frac{1}{2}=2+\frac{1}{2}=\frac{5}{2}\)

Calculating the width:

\(\displaystyle W =\frac{12}{\frac{5}{2}}=12\cdot\frac{2}{5}\)

\(\displaystyle W =\frac{24}{5}\)

W= 4.8 yards

Answer:

x-intercept = (38/7,0) y-intercept= (0,-38)

Answer:

To find the lateral surface area of a tissue box, follow these steps:

Identify the dimensions of the box. The lateral surface area is the sum of the areas of the four vertical sides of the box, so you need to know the height, length, and width of the box.

Identify the shape of the sides. The four sides of a tissue box are typically rectangles, but they may be squares or parallelograms, depending on the design of the box.

Calculate the area of one side. To find the area of a rectangle or square, multiply the length by the height. For example, if the box is 5 inches long and 3 inches tall, the area of one side is 5 x 3 = 15 square inches.

Calculate the area of all four sides. Multiply the area of one side by 4 to get the total lateral surface area. For example, if each side of the box is 15 square inches, the total lateral surface area is 4 x 15 = 60 square inches.

Note that the lateral surface area only includes the four vertical sides of the box, not the top and bottom surfaces. To find the total surface area of the box, including the top and bottom, you would need to calculate the area of all six sides.

Answer: 126 square inches.

Step-by-step explanation: To find the lateral surface area of a rectangular prism (such as a tissue box), you need to add up the areas of all the sides except for the top and bottom faces.

In this case, you have a tissue box with dimensions 5 inches, 7 inches, and 4 inches. The top and bottom faces each have an area of 5 x 4 = 20 square inches.

The four lateral faces each have an area of length x width, so you can add these up to find the total lateral surface area:

Lateral surface area = 2 x (5 x 7) + 2 x (7 x 4)

Lateral surface area = 70 + 56

Lateral surface area = 126 square inches

Therefore, the lateral surface area of the tissue box is 126 square inches.

Answer:

x≤-11/2

Step-by-step explanation:

Hope this helps!

Brain-List?

The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

........

Step-by-step explanation:

The polynomial representing the area of the is 49n² - 25

The formula for area of a square is expressed as;

Area = a²

Where a is the side length

From the image shown, we can see that the side length takes the value (7n - 5)

Substitute the value into the formula

Area = a²

Area = (7n - 5)²

Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares

Expand the bracket

Area = 49n² + 35n - 35n - 25

collect like terms

Area = 49n² - 25

Thus, the polynomial representing the area of the cube is 49n² - 25

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prime between number of 1234 to 1352​ are 1237, 1249,  1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327