Select the solutions of the equation.(select all that apply)
x2+4= 0
A.-2i
B.-2
C. 2i
D.2

As a fraction, length of the 15 rods = 8 4/7 feet

As decimal, length = 8.57 feet

initial length pipes = 4 feet

Dividing the length of the pipe into 7:

length of 15 of those rods:

The vectors uvt and vut are related by a simple matrix transposition.

In other words, if we consider u, v, and t as columns of a matrix, say A, then uvt is simply the product of A and the vector [1 0 1] (a column vector with 1's in the first and third rows and 0 in the second row).

On the other hand, vut is the product of the transposed matrix of A (denoted as A^T) and the vector [1 0 1]. Therefore, uvt and vut are related as follows:

vut = (A^T) [1 0 1]

In summary, uvt and vut are related through a matrix transposition, with vut being the product of the transposed matrix of A and the vector [1 0 1].

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The probability of getting exactly 417 girls in 811 births is approximately 0.0668.

The probability of getting 417 or more girls in 811 births is approximately 0.1349.

a. The probability of getting exactly 417 girls in 811 births is not 1. The correct probability can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where n is the total number of births, k is the number of girls, p is the probability of a girl birth (assumed to be 0.5 for simplicity), and "n choose k" denotes the binomial coefficient, which is calculated as:

(n choose k) = n! / (k! * (n-k)!)

Plugging in the values, we have:

P(X = 417) = (811 choose 417) * 0.5^417 * 0.5^(811-417)

Using a calculator or software, we can simplify and evaluate this expression to find:

P(X = 417) ≈ 0.0668

So the probability of getting exactly 417 girls in 811 births is approximately 0.0668.

b. To find the probability of getting 417 or more girls in 811 births, we need to calculate the cumulative probability from 417 to 811:

P(X ≥ 417) = P(X = 417) + P(X = 418) + ... + P(X = 811)

We can use software or a calculator to calculate this sum, or we can use the complement rule:

P(X ≥ 417) = 1 - P(X < 417)

To calculate P(X < 417), we can use the cumulative distribution function (CDF) of the binomial distribution:

P(X < 417) = sum(i=0 to 416) (811 choose i) * 0.5^i * 0.5^(811-i)

Again, using software or a calculator, we can evaluate this expression to find:

P(X < 417) ≈ 0.8651

So the probability of getting 417 or more girls in 811 births is:

P(X ≥ 417) = 1 - P(X < 417) ≈ 1 - 0.8651 ≈ 0.1349

Rounding to four decimal places, the probability of getting 417 or more girls in 811 births is approximately 0.1349.

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The probability that at least two of the balls have the same number is 27.40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes

No. of ways to succeed = 90P8

No. of possible outcomes = 90^8

No. of ways to succeed =

nPr = n! / (n-r)!

90P8 = 90! / (90-8)!

90P8 = 90! / (82)!

90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!

90P8 = 90*89*88*87*86*85*84*83

90P8 = 3.13x10^15

P(no 2 have same number) = 3.13x10^15 / 90^8

P(no 2 have same number) = 0.73

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(at least 2 have same number) = 1 - 0.73

P(at least 2 have same number) = 0.2740 = 27.40%

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The number of ways that can she rank 9 applications should be 126.

What is the definition of combination in math?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Calculation of the number of ways:

Since A manager receives 9 applications for a specific position. She wants to narrow it down to 4.

So here we do apply the permutation here:

9*8*7*6/ 4*3*2

=126

Hence, The number of ways that can she rank 4 applications should be 126

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Answer:

Where are the points or the picture?

5/6 is the unit rate for 1/4 gallon for every 3/10 mile.

To find the unit rate, we need to divide the quantity (1/4 gallon) by the amount (3/10 mile).

Unit Rate = Quantity / Amount

Unit Rate = (1/4 gallon) / (3/10 mile)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

Unit Rate = (1/4) × (10/3) [Reciprocal of 3/10 is 10/3]

Perform the multiplication:

Unit Rate = 10/12

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 2 in this case:

Unit Rate = 5/6

So, the unit rate for 1/4 gallon for every 3/10 mile is 5/6 gallon per mile.

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Answer:

Area is approximately 113.1

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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The sine function that intersects its midline at (0,-6) and then has a minimum point at (2.5,-9) is given as follows:

y = 3sin(0.6πx) - 6.

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

For which the parameters are given as follows:

The midline is at y = -6, while the minimum point is at y = -9, hence the amplitude of the function is given as follows:

A = -6 - (-9)

A = 3.

A sinusoidal function with amplitude 3 should oscillate between -3 and 3, while it oscillates between -3 and -9, hence the vertical shift is given as follows:

C = -6.

The distance from the midline to the minimum value is of 3/4 of the period, hence the period is of:

3/4P = 2.5

P = 4 x 2.5/3

P = 10/3.

This means that the parameter b is obtained as follows:

2π/B = 10/3

10B = 6π

B = 0.6π

This means that the function is defined as follows:

y = 3sin(0.6πx) - 6.

The graph of the sinusoidal function is given by the image presented at the end of the answer, and the labeled points show that the desired features are present.

The complete problem is given as follows:

The graph of a sinusoidal function intersects its midline at (0,-6)(0,−6)left parenthesis, 0, comma, minus, 6, right parenthesis and then has a minimum point at (2.5,-9).

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Answer:

x = 1

Step-by-step explanation:

First you distribute so you get

2x + 10 - 4x + 8 = 16

Then you add the stuff together that you can add and get

-2x + 18 = 16

Then you subtract 18 on the left side to get it to 0 and you have to do the some to the other side so it becomes

-2x = -2

Then you divide each side by -2 giving you

x = 1

Answer:

d≈91.63m

Step-by-step explanation:

d=w2+l2=78.92+46.62≈91.63389m

Answer:

answer is

\( {2.94 \times 10}^{ - 3} \)

Step-by-step explanation:

3*1/1000-6*1/100000=0.003-0.00006

=

\( {2.94 \times 10}^{ - 3} \)

Answer:

y = -3/2x + 5/2

Step-by-step explanation:

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

Function keys are used to carry out certain activities. F1, F2, F3, and so on, all the way up to F12.

What are function keys?

In order to carry out particular actions, the function keys are used. F1, F2, F3, and so on, up to F12, are the designations given to them. Depending on the software, these keys may or may not function.

                         directional keys. Moving around and modifying text are both possible with these keys when working with documents or websites.

The function key is not present.

Function keys, sometimes known as F keys, are numbered F1 through F12 and are arranged in a row at the top of the keyboard. These keys serve as shortcuts, carrying out operations like printing information, refreshing a page, or saving files.

The function keys are labeled from f1 to f12.

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The greatest common factor (GCF) of 18, 30, and 54 is 6.

The greatest number that divides two or more numbers without leaving a residue is known as the GCF.

The prime factorization approach is the most effective way to resolve this issue.

Using this technique, you will first determine the largest common factor amongst each number's prime factors.

The prime factorization of 18 is 2 x 3 x 3.

The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 54 is 2 x 3 x 3 x 3.

The largest common factor amongst all of them is 6, which is the GCF.

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

-3x + y = -14

Step-by-step explanation:

m = 3/1 = 3

1 = 15 + b

b = -14

Y = 3x - 14

-3x + y = -14

Answer:

133134676

Step-by-step explanation:

aasddkskskisisididid

Answer:

1500p

Step-by-step explanation:

The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:

4 * 3 = 12

From these 12 possible pair of values, the ones that give a sum of 7 are:

(6,1), (4,3) and (2,5).

We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%

To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:

120 * (0.25 * (-10) + 0.75 * (20)) = 1500p

Answer: 45 Degrees

Step-by-step explanation:

The eigenvalues of [A] are λ1 = -1 and λ2 = 1, with corresponding eigenvectors [1, -1, 0] and [0, 0, 0], respectively.

To find the matrix for the linear transformation T, which reflects all vectors in R3 through the xy plane, we can consider the effect of T on the standard basis vectors e1, e2, and e3:

T(e1) = e1

T(e2) = e2

T(e3) = -e3

This tells us that the first two columns of the matrix for T will be the standard basis vectors e1 and e2, and the third column will be -e3. Thus, the matrix for T is:

[A] = [1 0 0;

0 1 0;

0 0 -1]

To find the eigenvalues and eigenvectors of this matrix, we can solve the characteristic equation det([A] - λ[I]) = 0, where [I] is the 3x3 identity matrix. This gives us:

\(det([A] - λ[I]) = det([1-λ 0 0; 0 1-λ 0; 0 0 -1-λ])\\= (1-λ)(1-λ)(-1-λ)\\= -(λ+1)(λ-1)^2\)

Therefore, the eigenvalues of [A] are λ1 = -1 (with algebraic multiplicity 1) and λ2 = 1 (with algebraic multiplicity 2).

To find the eigenvectors corresponding to these eigenvalues, we can solve the systems of equations ([A] - λ[I])v = 0 for each eigenvalue. For λ1 = -1, we have:

([A] + [I])v = [0 0 0]'

which gives us the equation:

x + y = z

Thus, the eigenvectors corresponding to λ1 are of the form [x, y, z] where x + y = z. One such eigenvector is [1, -1, 0].

For λ2 = 1, we have:

([A] - [I])v = [0 0 0]'

which gives us the equations:

x = 0

y = 0

z = 0

Thus, the eigenvectors corresponding to λ2 are all vectors of the form [0, 0, 0].

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Answer:

Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you

The sum of the series with n = 2 is π2/6 and the sum of the series with n = 4 is π4/90.

The exact sum of the series with n can be calculated using Leonhard Euler's formula:

S = 1 + 1/2n + 1/3n + 1/4n + ...

For the series with n = 2, the sum can be calculated as follows:

S = 1 + 1/22 + 1/32 + 1/42 + ...

= 1 + 1/4 + 1/9 + 1/16 + ...

= π2/6

Similarly, for the series with n = 4, the sum can be calculated as follows:

S = 1 + 1/24 + 1/34 + 1/44 + ...

= 1 + 1/16 + 1/81 + 1/256 + ...

= π4/90

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The English sentence that has an equivalent meaning to the expression p → q is "If a program freezes, then the computer is restarted."



In propositional logic, the expression p → q represents the conditional statement where p is the antecedent (the condition) and q is the consequent (the result). It states that if p is true, then q must also be true. In other words, the occurrence of p implies the occurrence of q.

In the given proposition definitions, p is defined as "a program freezes" and q is defined as "the computer is restarted." Therefore, the expression p → q can be understood as the conditional statement that if a program freezes (p), then the computer is restarted (q).

The English sentence "If a program freezes, then the computer is restarted" accurately conveys the meaning of the logical expression p → q. It explicitly states the condition (a program freezes) and the result (the computer is restarted), indicating that the freezing of a program implies the action of restarting the computer.

It's important to note that the conditional statement p → q does not imply causality between p and q. It simply establishes a logical relationship where the truth of p guarantees the truth of q. If p is false, the conditional statement is considered true regardless of the truth value of q.

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If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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