What is the characteristic of the leading coefficient?

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

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Answer:

9+10/2*5-2+3 = 35

Step-by-step explanation:

I use Algebra Calculator - MathPapa

Answer:

Step-by-step explanation:

Answer:

By applying intersecting chords angle theorem:-

\(m\angle BPD= 106\)° \(=1/2(BD+AC)\)

\(=1/2(146+66)\)

\(=1/2\time(212)\)°

\(m\angle BPD=106\)°

Answer:- D) 106°

OAmalOHopeO

Answer:

Online Real Estate Investment Opportunities

Hiring a Property Management Company

Make Sure There's Enough Money Available

Calculate Your Expenses

You Should Earn roughly 10% After Costs and Income are Calculated

Step-by-step explanation:

hope it helps

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Answer:

The number of boys, x = 12

Step-by-step explanation:

Given that the sum of the ages of the boys in a class = 84 years

The number of boys = x

A new boy aged 8 years 1 month is added and the average age increases by 1 month

We have

Average age = 84/x = y

Age of new boy = 8 years 1 month = \(8\frac{1}{12} \ year\)

New average = y + 1/12 = \((8\frac{1}{12}+84) /(x + 1)\) which gives;

84/x + 1/12 = \((8\frac{1}{12} + 84) /(x + 1)\)

\(\dfrac{x +1008}{12 \cdot x} = \dfrac{1105}{12 \cdot x+ 12}\)

(x + 1008)×(12·x + 12) = 1105× 12·x

12·x² -1152·x + 12096 = 0

x² -96·x + 1008 = 0

(x - 84)×(x - 12) = 0

Therefore, x = 12 or 84,

The number of boys are 12 or 84

For there to bee 84 boys, their average age would be one year each

Given that they are boys not babies, then there are only 12 boys.

Answer:

25%

Step-by-step explanation:

Each flip has a 50% probability of landing heads.  Two in a row would be (50%)*(50%) = 25%

[Note:  25% of $40 is $10].  Don't waste your time.

Answer:

a. -4

Step-by-step explanation:

142 = -6(5n + 1) - 7n

142 = -6*5n + 1*(-6) - 7n  ==> distributive property

142 = -30n + (-6) - 7n

142 = -30n - 6 - 7n

142 = -30n - 7n - 6

142 = -37n - 6

142 + 6 = -37n - 6 + 6

148 = -37n

-37n/(-37) = 148/(-37)

n=-4 ==> a

Answer:

not sure about this one.

First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

\( \rm \: p(x) = - 5 {x}^{2} + 30x + 8\)

\( \rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30\)

\( \rm \: x = \frac{30}{ 2 \times (- 5)} \)

\( \rm \: x = 3\)

For the given first-order differential equation, we need to determine the largest interval on which a unique solution exists for each initial condition. The interval will depend on the specific initial condition and the behavior of the differential equation.

The first-order differential equation is given as:

t^et y' + y' + t^2 – 25yt - 99

To determine the largest interval on which a unique solution exists for each initial condition, we need to consider the behavior of the equation and any possible singularities or discontinuities.

For each initial condition, we can use standard techniques such as separation of variables or integrating factors to solve the differential equation and find the solution. The solution will depend on the initial condition and may have different behaviors based on the values of t and y.

It's important to note that the existence and uniqueness of solutions are generally guaranteed within a certain interval as long as the equation and initial condition satisfy certain conditions, such as Lipschitz continuity. However, without specific initial conditions, it is not possible to determine the exact intervals on which a unique solution exists.

Therefore, to determine the largest interval on which a unique solution exists for each initial condition, further analysis and specific initial conditions are required to assess the behavior of the equation and identify any constraints or limitations on the solution.

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a) The differences in proportions are centered around 0.00. This means that, on average, there is no difference between the proportion of students who sit in the front or back of the classroom, regardless of whether they are using a laptop or a notebook.

(b) Random assignment does not always balance the proportion of each group (laptop vs. notebook) that sit in the front or back of the classroom.

This is because random assignment is a probabilistic process, and there is always a chance that the randomization will produce unbalanced groups. However, on average, random assignment will produce balanced groups.

The graph of the differences in proportions is centered near 0 because, on average, the randomizations produce a difference of 0. However, there is some variation in the results of the randomizations, so there will be some differences in proportions that are not equal to 0.

The answer to the question "Does random assignment always balance the proportion of each group?" is no. Random assignment does not always produce balanced groups, but it does on average.

This means that if we repeated the randomization 2000 times, we would expect about 1000 of the randomizations to produce balanced groups, and about 1000 of the randomizations to produce unbalanced groups.

The answer to the question "Yes, but this would be less likely if we had larger treatment groups" is yes. If we had larger treatment groups, it would be less likely that the randomization would produce unbalanced groups.

This is because, with larger treatment groups, there is more variation in the data, which makes it more likely that the randomization will produce balanced groups.

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Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

45 |   45 divided by 5 = 9    

So i think if we do the same for 70 we will get the length

70| 70 divided by 5 = 14

So the length = 14

--If I'm incorrect please correct me

For the given congruence triangle:

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides plus three angles of another triangle, two triangles are said to be congruent.

For the given data:

Statement                                  Reasons

U is the midpoint of ST             Given

SV  ≅ TW                                   Given

VU ≅ WU                                  Given

SU = UT                                    U is the midpoint of ST

ΔSUV ≅ ΔTUW                         By Side Side Side (SSS) congruence

∠SVU  ≅  ∠TWU                       BY CPCT

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The coordinates of P and Q are

PQ have equal slope with BC so they are parallel

The coordinates of P and Q is found using the midpoint formula

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

solving for P (X, Y) Using points A(2, -1), B(-3, 4)

(X, Y) = ((2 + -3)/2, (-1 + 4)/2)

= (-1/2, 3/2)

solving for Q (X, Y) points A(2, -1), C(-5,-7)

(X, Y) = ((2 + -5)/2, (-1 + -7)/2)

= (-3/2, -4)

Parallel lines have equal slopes

Using BC = (4 - -7) / (-3 - -5) = 11/2

Using PQ = (-4 - 3/2) / (-3/2 - -1/2) = (-11/2) / (-1) = 11/2

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Based on the cost-to-cost trade-off calculations, the company should choose the 83 mph speed, resulting in a total cost of $764.

To evaluate the cost-to-cost trade-offs, we need to consider the fuel cost and the cost of delay due to slower mph. The distance to be covered is 720 miles. At a speed of 90 mph, the fuel efficiency is 8 miles per gallon, and at 83 mph, it is 10 miles per gallon. The diesel fuel cost is $8.64 per gallon, and the cost of delay due to slower mph is $630.
To calculate the total cost for each speed, we divide the distance by the miles per gallon to determine the number of gallons needed. Then, we multiply the number of gallons by the fuel cost per gallon and add the cost of delay, if applicable.
For 90 mph: Total fuel cost = (720 miles / 8 miles per gallon) * $8.64 per gallon = $777.60.
For 83 mph: Total fuel cost = (720 miles / 10 miles per gallon) * $8.64 per gallon = $622.08.
Adding the cost of delay for 83 mph: Total cost = $622.08 + $630 = $1252.08.
Therefore, choosing the 83 mph speed results in a total cost of $764, which is lower than the total cost of $1252.08 for the 90 mph speed. Thus, the company should choose the 83 mph speed according to the cost-to-cost trade-off calculations.

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The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.

To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.

For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.

For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.

To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:

Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.

Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.

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Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Answer: h+8

Step-by-step explanation:

It’s simple h MORE than 8

Answer: h+8

Step-by-step explanation:

Using Euler's method, the correct statement is a) The solution curve roughly approximates the actual curve.

The solution curve produced using Euler's Method for the differential equation roughly approximates the actual curve.

Euler's Method is a numerical method used to approximate the solution of a differential equation. It works by taking small steps and approximating the derivative at each step. The formula used in Euler's Method is:

\(y_n = y_{n-1} + f(x_{n-1}, y_{n-1}) * \Delta x\)

Where \(y_n\) represents the approximated y-value at step n, \(y_{n-1}\) represents the y-value at the previous step, \(f(x_{n-1}, y_{n-1})\) represents the derivative of the function at the previous step, x_{n-1} represents the x-value at the previous step, and Δx represents the step size.

In the given expression \(lim(y_{n-1} + f(x_{n-1}, y_{n-1}) * \Delta x)\), as Δx approaches 0, the expression represents the exact value of the derivative at the point \((x_{n-1}, y_{n-1})\). This means that the solution curve produced by Euler's Method will be a good approximation of the actual curve as long as the step size is small enough.

However, it is important to note that Euler's Method is a first-order method and can introduce some errors, especially for complex or nonlinear functions. The approximation may deviate from the actual curve for large step sizes or in cases where the function has sharp changes or complex behavior. In such cases, more advanced numerical methods may be required to obtain a more accurate approximation of the actual curve.

Therefore, the statement "The solution curve roughly approximates the actual curve" is the most accurate description of how the solution curve produced using Euler's Method compares with the actual curve.

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Suppose A = 30 - 34, the value of A using 2's complement arithmetic of -4 is (1100)2. The result of A + B cannot be represented in 5-bit 2's complement representation. Therefore, the result of A + B will result in overflow.

Given, A = 30 - 34A = -4. We need to find the 2's complement representation of -4. To obtain 2's complement representation, we have to perform the following steps:

Convert the absolute value of the decimal number into binary.4 = (0100)2

Take the 1's complement of the binary number.1's complement of (0100)2 = (1011)2

Add 1 to the 1's complement to obtain the 2's complement.(1011)2 + 1 = (1100)2

Therefore, the 2's complement representation of -4 is (1100)2.

Now, let us solve the second part of the question. Assume A = 15, B = 10 in 5-bit 2's complement representation.

When A + B is performed, will this result in overflow? We need to perform 5-bit 2's complement arithmetic as follows:

A = (01111)2, B = (01010)2, and A + B = (11001)2

The MSB (Most Significant Bit) of A and B is 0, which is positive. The MSB of the result of A + B is 1, which is negative.

So, the result of A + B cannot be represented in 5-bit 2's complement representation. Therefore, the result of A + B will result in overflow.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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The balance of Ana's checking account after the transaction on October 22 is $1,213.49.

To determine the balance of Ana's checking account after the transaction on October 22, we'll follow these steps:

1. Start with the initial balance on October 8: $1,093.12
2. Subtract the withdrawal for rent on October 15: $1,093.12 - $525.50 = $567.62
3. Add the deposit from the paycheck on October 22: $567.62 + $645.87 = $1,213.49

The balance of Ana's checking account after the transaction on October 22 is $1,213.49.

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Answer:

2√5 ≈ 4.47214

Step-by-step explanation:

You can draw a triangle with corner points (-1,2); (1,2) and (-1,-2), and the distance will be the hypotenuse, use pythagoras to solve:

√(2²+4²) = √20 = 2√5

Answer:

4.472 units

Step-by-step explanation:

1-(-1)=1+1=2

2-(-2)=2+2=4

2²+4²=c²

4+16=c²

20=c²

c=√20

c=4.472 units

For the two given parallel line m || n, the values of x is 23 and y is 137.

From the property of alternate interior angles.

2x + 3 = 3x - 20

Simplifying.

x = 23.

For the other set of angle.

Linear pair: When two lines intersect at a single point, a linear pair of angles is formed.

By this property;

(y - 6) + (2x + 3) = 180

Simplifying.

Put the value of x;

y - 6 + 46 + 3 = 180

y = 137

Thus, the value of y is found as 137.

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The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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By using completing the square, the equation can be rewritten as (x + (-11/4))² = 9/16.

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

2x² - 11x + 14 = 0

By dividing all through by 2, we have:

x² - 11x/2 + 7 = 0

x² - 11x/2 = -7

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 11x/2 + (-11/4)² = -7 + (-11/4)²

x² - 11x/2 - 121/16 = 9/16

(x - 11/4)² = 9/16.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.