What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and

Answer:

cubing multiplication subtraction

Step-by-step explanation:

to answer this question you need to know order of operation to know what to do first.

you can summarise it by the word PEMDAS (first letter for first operation)

P for parentheses "( )"

E for exponentiation "power"

M D for multiplication and division "×÷" (you can switch between them in order)

A S for addition and subtraction "+-" (you can switch between them in order)

so in this case exponentiation (cubing), then multiplication, then subtraction.

   \(\\15-13 * 2^{3}\\\)

\(=15-13 * 8\\=15-104\\=-89\)

Hello!

453 millions

= 453 000 000

Answer:

It would be 8p+4

Step-by-step explanation:

dividing (48p + 24) by 6 involves factoring and simplifying the expression to obtain the result of 8p + 4

To divide (48p + 24) by 6, you first factor out the common factor of 6 from the expression, which yields

(48p + 24) = 6(8p + 4).

Then, you can further simplify by dividing each term by 6.

The result is 8p + 4.

This process of division distributes the division operation across all terms in the expression, and as a result, each term's coefficient is divided by 6.

In this case, it simplifies the original expression to 8p + 4.

In summary, dividing (48p + 24) by 6 involves factoring and simplifying the expression to obtain the result of 8p + 4

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Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

Answer:

i think it is false, true, false

Step-by-step explanation:

Answer: -4.2

Step-by-step explanation:

=1-6+0.8

=-4.2

Answer:

To calculate the probabilities, we need to know the total number of programs the student applied to. Since the student applied to 20 graduate programs in total, the sum of the probabilities of receiving a letter from each program type must equal 1.

(a) Probability of receiving a letter from a clinical psychology program:

The student applied to 10 clinical psychology programs, so the probability of receiving a letter from a clinical psychology program is 10/20 or 0.5.

(b) Probability of receiving a letter from a counseling psychology program:

The student applied to 6 counseling psychology programs, so the probability of receiving a letter from a counseling psychology program is 6/20 or 0.3.

(c) Probability of receiving a letter from any program other than social work:

The student applied to 16 programs that are not in social work (10 clinical psychology programs + 6 counseling psychology programs), so the probability of receiving a letter from any program other than social work is 16/20 or 0.8.

(d) To explain these probabilities to someone who has never had a course in statistics, we can use an analogy. Imagine a jar contains 20 balls, where 10 balls are red, 6 balls are blue, and 4 balls are green. If you randomly pick a ball from the jar without looking, what is the probability that the ball is red? The probability is 10/20 or 0.5 because there are 10 red balls out of20 total. Similarly, the probability of picking a blue ball is 6/20 or 0.3, and the probability of picking a ball that is not green is 16/20 or 0.8.

In this case, the programs the student applied to are like the different colored balls in the jar. The probability of receiving a letter from a clinical psychology program is like the probability of picking a red ball, and the probability of receiving a letter from a counseling psychology program is like the probability of picking a blue ball. The probability of receiving a letter from any program other than social work is like the probability of picking a ball that is not green.

So, if the student receives a letter from one of the programs they applied to, the probability that it is from a clinical psychology program is 0.5, the probability that it is from a counseling psychology program is 0.3, and the probability that it is from any program other than social work is 0.8.

Hope this helps!

If a student receives a letter without any indication of which program it is from, there is a 50% chance it is from clinical psychology, a 30% chance it is from counseling psychology, and an 80% chance it is from a program other than social work.

To calculate the probabilities, we need to consider the total number of programs in each category and the total number of programs the student applied to.

(a) The probability that the letter is from a clinical psychology program is 10 out of 20, or 0.5. This means that half of the programs the student applied to are in clinical psychology.

(b) The probability that the letter is from a counseling psychology program is 6 out of 20, or 0.3. This indicates that 30% of the programs the student applied to are in counseling psychology.

(c) To calculate the probability that the letter is from a program other than social work, we subtract the number of social work programs (4) from the total number of programs (20), giving us 16. So, the probability is 16 out of 20, or 0.8.

In summary, there is a 50% chance the letter is from a clinical psychology program, a 30% chance it is from a counseling psychology program, and an 80% chance it is from any program other than social work. These probabilities are based on the distribution of programs the student applied to.

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The three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

To find the magnitude and direction of the translations applied on a triangle, we need to know the coordinates of the vertices of the original triangle and the coordinates of the vertices of the transformed triangle.

Let's say the coordinates of the original triangle are (x1, y1), (x2, y2), and (x3, y3), and the coordinates of the transformed triangle are (x1', y1'), (x2', y2'), and (x3', y3').

The magnitude of the translation can be found by calculating the distance between the corresponding vertices of the original and transformed triangles using the distance formula. For example, the magnitude of the translation from (x1, y1) to (x1', y1') is given by:

sqrt((x1' - x1)^2 + (y1' - y1)^2)

Similarly, we can find the magnitudes of the other two translations.

The direction of the translation can be found by calculating the angle between the line connecting the corresponding vertices of the original and transformed triangles and the x-axis. We can use the arctangent function to find this angle. For example, the direction of the translation from (x1, y1) to (x1', y1') is given by:

tan^-1((y1' - y1)/(x1' - x1))

Similarly, we can find the directions of the other two translations.

Once we have the magnitudes and directions of the translations, we can describe the transformation using vector notation. The vector of the translation is given by:

< magnitude1, direction1 >

< magnitude2, direction2 >

< magnitude3, direction3 >

This represents the three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

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The four consecutive odd integers = 15, 17, 19, 21

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

2x + x = 51 - 6

3x = 45

x = 15

Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

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Answer:

your answer is correct

Step-by-step explanation:

if you were to fold that it would make a rectangular prism.

Answer:

It's the first one trust me I got the question wrong when i chose what you select.

Step-by-step explanation:

I took the quiz on k12 lesson name is 4.01 quiz nets of three-dimensional figures

The condition characterized by cyanosis and pain in the fingers due to extreme vasoconstriction in the digits resulting from excessive sympathetic stimulation is called Raynaud's phenomenon.

Raynaud's phenomenon occurs when blood vessels, specifically the small arteries that supply blood to the fingers, constrict excessively in response to cold or emotional stress. This constriction reduces blood flow to the affected areas, leading to cyanosis (bluish discoloration), pain, and numbness in the fingers.

The underlying cause of Raynaud's phenomenon is an imbalance in the autonomic nervous system, particularly an overactivity of the sympathetic nervous system. This system is responsible for the "fight or flight" response and, when stimulated, can cause blood vessels to constrict.

Raynaud's phenomenon is characterized by:
1. Cyanosis: Bluish discoloration of the fingers due to reduced blood flow.
2. Pain and numbness in the fingers.
3. Extreme vasoconstriction: Constriction of small arteries supplying blood to the digits.
4. Excessive sympathetic stimulation: Overactivity of the sympathetic nervous system leads to constriction of blood vessels.
If you experience symptoms of Raynaud's phenomenon, it is essential to consult with a medical professional for proper diagnosis and treatment.

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Answer:

17

Step-by-step explanation:

12.5 - (-4.5) = 12.5 + 4.5 = 17

There were 68 babies who weighed less than Sam and Shasa's son and there were 52 babies who weighed more than Sam and Shasa's son.

To find out how many babies weighed less than Sam and Shasa's son, we need to subtract the babies born at the same weight and the babies born with more weight from the total number of babies.

First, we subtract the 6 babies born at the same weight from the total number of babies:
120 - 6 = 114

So, there are 114 babies who weighed either less or more than Sam and Shasa's son.

However, since Sam and Shasa's son is in the 60th percentile, it means that 60% of the babies weighed less than him. To find out how many babies that represents, we multiply 114 by 0.60:
114 * 0.60 = 68.4

Since we can't have a fraction of a baby, we round down to the nearest whole number:
68

Therefore, there were 68 babies who weighed less than Sam and Shasa's son.

To find out how many babies weighed more than Sam and Shasa's son, we can subtract the number of babies who weighed less from the total number of babies:
120 - 68 = 52

Therefore, there were 52 babies who weighed more than Sam and Shasa's son.

There were 68 babies who weighed less than Sam and Shasa's son.
There were 52 babies who weighed more than Sam and Shasa's son.

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Answer:

f^-1(x)=x/3+2/3

Step-by-step explanation:

The inverse of the equation y = 3x - 2 is given by y = (x + 2) / 3.

To find the inverse of the equation y = 3x - 2,  interchange the x and y variables and solve for y. Here are the steps:

Start with the original equation: y = 3x - 2.

Interchange x and y: x = 3y - 2.

Solve for y:

Add 2 to both sides of the equation:

x + 2 = 3y.

Divide both sides by 3:

(x + 2) / 3 = y.

Simplify the expression:

y = (x + 2) / 3.

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Answer:

35

Step-by-step explanation:

Answer: that's nice to know,but if you don't know use a calculator

Answer

Option A

61 in, 60 in, 11 in. represents three sides of a right triangle

Step-by-step explanation:

By Using Pythagorean Triplet we can say that

61 in, 60 in, 11 in. represents three sides of a right triangle

(11)² + (60)² = (61)²

121 + 3600 = 3721

3721 = 3721

Thus, 3721 = 3721 represents three sides of a right triangle

-TheUnknownScientist

Based on the speed that light travels and the distance around the Earth along the Equator, the number of times the space ship would travel in 1 second is 0.133 times

The number of times that the space ship would travel around Earth around the Equator, going at the speed of light is:

= Distance around the Earth along the Equator / Speed of light

Solving for the number of times around the Earth for the space ship gives:

= 2.48×10⁴  / 1.86×10⁵

= 24,800 / 186,000

= 0.133 times

In conclusion, going at the speed of light, the space ship would go around the Earth, along the equator, 0.133 times.

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The 2.5kg of potatoes cost £1.40 so the cost of 4.25 kg of potatoes is £2.38.

A cost is an outlay needed to create, market, or prepare an asset for regular use. In other words, it's the cost incurred to produce a good, buy inventory, sell goods, or prepare equipment for use in a business process.

Given,

2.5 kg of potatoes = £1.401 kg of potatoes

cost = 1.40/2.5

       = £0.56

To find the cost of 4.25 kg of potatoes is: Then,

1 kg = £0.564.25 kg

      = 0.56 x 4.25

      = £2.38

Thus from the above conclusion we can say that the cost is £2.38.

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Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = \(a^{2} +5a+3a+15=a^{2}+8a+15\)

The system of equations have no solution, the correct option is A.

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

Given;

-1/2x+1/2y=-1   (1)

x-y=2   (2)

Now, multiplying equation 1 by 2

-x+y=-2

y=-2+x

Substituting the value of y in equation 2

x+2-x=2

Therefore, the equation have no solution.

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

10 - 10 / 2 - 4

0/-2

Answer:

  25, 31, 38

Step-by-step explanation:

The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.

Answer:

The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.

Answers: 25, 31

Hope that helps

Answer: it is 1cm=2m

i did the math O>O

O sin(0.0005) ≈ 0.0005. The line tangent to the graph of f(x) = sin x at (0,0) is y = x.

The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). This means that the point (0,0) is on the line y = x and the slope of the line y = x is equal to the derivative of the function f(x) = sin x evaluated at x = 0. The slope of the line y = x is 1, so the derivative of f(x) = sin x evaluated at x = 0 is 1.

The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. This is because the first derivative of sin x evaluated at x = 0 is 1, which is the same as the slope of the line y = x. Therefore, the tangent line to the graph of f(x) = sin x at (0,0) is y = x.

Finally, O sin(0.0005) ≈ 0.0005. This is because sin x is approximately equal to x for small values of x. When x = 0.0005, sin x is approximately equal to 0.0005. Therefore, O sin(0.0005) ≈ 0.0005.

In summary, the line tangent to the graph of f(x) = sin x at (0,0) is y = x. The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. O sin(0.0005) ≈ 0.0005.

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The proportion of gas prices that lie between $2.00 and $3.00 is approximately 0.8997, or 89.97%. Therefore, the correct option is (d) 90%.

To find the proportion of gas prices that lie between $2.00 and $3.00, we can use the properties of the normal distribution.

Given:

Mean (μ) = $2.34 per gallon

Standard deviation (σ) = $0.26 per gallon

We want to calculate the proportion of gas prices between $2.00 and $3.00.

Standardize the values

To use the properties of the normal distribution, we need to standardize the values of $2.00 and $3.00.

Z-score = (X - μ) / σ

For $2.00:

Z-score = (2.00 - 2.34) / 0.26 = -1.31

For $3.00:

Z-score = (3.00 - 2.34) / 0.26 = 2.54

Find the corresponding cumulative probabilities

We can use a standard normal distribution table or a calculator to find the corresponding cumulative probabilities for the Z-scores.

The proportion of gas prices between $2.00 and $3.00 can be calculated as:

Proportion = P(Z ≤ 2.54) - P(Z ≤ -1.31)

Using a standard normal distribution table or a calculator, we can find that:

P(Z ≤ 2.54) ≈ 0.9948

P(Z ≤ -1.31) ≈ 0.0951

Proportion ≈ 0.9948 - 0.0951 ≈ 0.8997

So, the proportion of gas prices that lie between $2.00 and $3.00 is approximately 0.8997, or 89.97%.

Therefore, the correct option is (d) 90%.

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The value of dt/dy is -1/12.

We are given the equation dy/dt = -3, and we need to find dt/dy. To do this, we can use the chain rule. We start with the given equation:

dt/dx * dx/dy * dy/dt = 1

Rearranging the equation, we have:

dt/dy = 1 / (dt/dx * dx/dy)

Next, we differentiate the given equation with respect to t using the chain rule. We have:

2y * (dy/dt) - 4x^3 * (dx/dt) = 0

Substituting the values dy/dt = -3, x = 2, and y = 6, we get:

12 - 32 * (dx/dt) = 0

Simplifying further, we have:

32 * (dx/dt) = 12

Solving for dx/dt, we find:

dx/dt = 12/32 = 3/8

Substituting this value and dx/dy = 1/dy/dx = 1/(dt/dx), we can evaluate dt/dy:

dt/dy = 1 / (3/8) = 8/3 = -1/12

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For the g(x) functions provided, here are their key features:

g(x) = (x + 2)(x − 1)(x − 2)

End behavior: As x approaches negative or positive infinity, g(x) approaches positive infinity.

Y-intercept: g(0) = -4

Zeros: x = -2, 1, 2

Ray and Kelsey could both be accurate, all depending on the stated third-degree polynomial function.

It is conceivable for a third-degree polynomial to present up to three zeros, thus corroborating Kelsey's point that the function can have up to three intersection points with the x-axis maximum. Moreover, it can even occur that this function possesses a repeatable zero, causing a fourth interception.

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The energy states of a particle confined to a two-dimensional infinite potential well can be derived using Schrödinger's equation. The formula for the energy states involves solving the time-independent Schrödinger equation and applying appropriate boundary conditions.

To derive the formula for the energy states of a particle confined to a two-dimensional infinite potential well, we start by writing the time-independent Schrödinger equation for the system. In this case, the Schrödinger equation takes the form:

Ψ(x, y) = EΨ(x, y),

where Ψ(x, y) is the wavefunction of the particle and E is the energy of the particle.

We then separate the variables by assuming that the wavefunction can be written as a product of two functions: Ψ(x, y) = X(x)Y(y). Substituting this into the Schrödinger equation and dividing by Ψ(x, y), we obtain two separate equations: one involving the variable x and the other involving the variable y.

Solving these two equations separately with the appropriate boundary conditions (U(x, y) = 0 for 0 < x < L and 0 < y < L), we find the allowed energy levels of the particle.

In summary, the formula for the energy states of a particle confined to a two-dimensional infinite potential well can be derived by solving the time-independent Schrödinger equation with appropriate boundary conditions and separating the variables. The resulting solutions will give us the energy levels of the particle in the well.

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