When psychiatrists were asked to predict what percentage of the population would deliver the full range of shocks in the Milgram experiment, their prediction was:a. less than 1 percentb. about 2 percentc. between 25 and 30 percentd. about 50 percent

Answer:

x = (-8/15)

Step-by-step explanation:

−14+34x=(64x+2)

34X-14=64X+2

34X-64X= 2 + 14

-30X = 16

-15X=8

X= -8/15

Answer:

3

Step-by-step explanation:

25463 grams radioactive kind of americium will be left after 2160 years.

We know that Half Life Formula will be,

\(N=I(\frac{1}{2})^{\frac{t}{T}}\)

where N is the quantity left after time 't'; 'T' is the half life of the substance and 'I' is the initial quantity of the substance.

Given that the initial quantity of the substance (I) = 814816 grams

Half life of the radioactive kind of americium is (T) = 432 years

The time elapsed (t) = 2160 years

Now we have to find the quantity left that is the value of N for the given values.

N = \(814816\times(\frac{1}{2})^{\frac{2160}{432}}=814816\times(\frac{1}{2})^5\) = 814816/32 = 25463 grams.

Hence 25463 grams radioactive kind of americium will be left after 2160 years.

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We simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

To answer the question, we need to know what surds are

Surds are square roots of positive integers.

Since we have  -2√15(-8 + 10√15), we simplify the expression

So, -2√15(-8 + 10√15) = -2√15 × (-8) + 10√15 × √15 (expanding the bracket)

= -2× (-8) × √15 + 10 × √(15 × 15)

=  16 × √15 + 10 × √15²

=  16 × √15 + 10 × 15

=  16√15 + 150

=  150 + 16√15

So, we simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

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Answer: y=4/3x-4

Step-by-step explanation:

Points given (x,y): (0,-4) (3,0)

y=mx+b

-4=0x+b (0 times anything is 0)

-4=0+b---> b=-4

y=mx+b

0= (m*3)-4

4=3m

m=\(\frac{4}{3}\)

y=mx+b

y=\(\frac{4}{3}\)-4

9514 1404 393

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

The augmented matrix of coefficients for these equations is ...

  \(\left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]\)

The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...

  \(\left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]\)

This tells you the solution is (x, y) = (1, -1).

You will get a website traffic of worth 0.003 cents a day.

Proportion is defined as the setting of two or more ratios equal to each other. Mathematically if a : b is proportional to p : q, then,

a/b = p/q or a q = b p.

We can find this by using proportional concept.

Given that,

Spending on website traffic for 20 days = 0.06 cents

Spending for 1 day = 0.06 / 20 = 0.003

You will get a traffic worth 0.003 in a day.

Hence, you will get a traffic worth 0.003 cents in a day.

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The domain of the function is all real numbers

The given function is:

d(x) = 3|x|

The absolute value of any number is always non-negative, so the expression inside the absolute value must be greater than or equal to zero:

|x| ≥ 0

So the domain of the function is all real numbers

To find the range of the function, we can note that the output of the absolute value function is always non-negative.

So, the range of the function is all non-negative real numbers.

From the attached graph

The function is always positive and never negative.

So, it has no negative interval

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The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x. To find the eigenvalues and eigenvectors of matrix A,.

We start by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. This gives us:

|1-λ 4 1 2 |

| 0 2-λ 2 1 |

| 1 2 2-λ 1 |

| 2 1 1 2-λ| = 0

Expanding along the first row, we get:

(1-λ) [ (2-λ)(2-λ) - 1 ] - 4[ 2(2-λ) - 1 ] + 1[ 1(1-λ) - 2 ] - 2[ 2(1-λ) - 2 ] = 0

Simplifying and rearranging, we get:

λ^4 - 7λ^3 + 16λ^2 - 14λ = 0

Factoring out λ, we get:

λ(λ-2)(λ-4)(λ-1) = 0

Therefore, the eigenvalues of matrix A are λ1 = 0, λ2 = 1, λ3 = 2, and λ4 = 4.

Next, we find a basis for each eigenspace by solving the system of equations (A - λI)x = 0 for each eigenvalue.

For λ1 = 0, we have:

|1 4 1 2 | |x1| |0|

|0 2 2 1 | x |x2| = |0|

|1 2 2 1 | |x3| |0|

|2 1 1 2 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 -1 0 | |x1| |0|

|0 1 1/2 0| x |x2| = |0|

|0 0 0 1 | |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x3 = 0 and x4 is free. Setting x4 = 1, we get x1 = x3 = 0 and x2 = -1/2. Therefore, a basis for the eigenspace corresponding to λ1 = 0 is {[-1/2, 0, 1, 0]^T}.

For λ2 = 1, we have:

|0 4 1 2 | |x1| |0|

|0 1 2 1 | x |x2| = |0|

|1 2 1 1 | |x3| |0|

|2 1 1 1 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 0 1/2 | |x1| |0|

|0 1 0 -5/2| x |x2| = |0|

|0 0 1 -1/2| |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x

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The probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

The Bayes theorem's assumption that the prior probabilities are known with certainty is one of its limitations. These probabilities, however, could not be known or be impossible to predict precisely in many real-world settings. Moreover, Bayes' theorem makes the assumption that each occurrence is independent, which may not necessarily be true in real-world circumstances.

Given that,

P(D) = 0.001

P(D') = 1- 0.001 = 0.999

P(T|D) = 0.99 (the test is 99% effective in detecting the disease)

P(T'|D') = 0.995

The Baye's theorem is given as follows:

P(A|B) = P(B|A) * P(A) / P(B)

Substituting the values:

P(T) = (0.99 * 0.001) + (0.005 * 0.999) = 0.00594

P(D|T) = (0.99 * 0.001) / 0.00594 ≈ 0.166

Hence, the probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

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The complete question is:

The linear equation that can be used to find the height considering all the information is h2 = h1 + (-0.5)(t2 - t1)

The height of a candle can be modeled by a linear function with a slope of -0.5 cm/hour.

If the height of the candle after t1 hours is h1 centimeters, then the height of the candle after t2 hours is given by h2 = h1 + (-0.5)(t2 - t1).

So, if the height of the candle after t1 hours is h1 centimetres, and after t2 hours is h2 centimeters, we have:

h2 = h1 + (-0.5)(t2 - t1)

We can use the given information to find the value of h1, and then use the equation above to find the value of h2.

However, the information given in the question is not enough to solve for h1 and h2. We need more information such as the height of the candle after a certain number of hours.

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Answer:

x=3

Step-by-step explanation:

both of the two sides equal the same so it would be 3x=9x-18

solve you get x=3

This is because angles 1 and 4 are vertical angles. Such angles form whenever we have an X shape like this. Vertical angles are always opposite one another and they are always the same measure. The fact that lines k and l are parallel has no relevance (so they could easily be not parallel and the two angles mentioned are still congruent).

Answer:

To create a perfect square of given expression,

On solving the above expression we get,

we have that,

To create a perfect square: add ( half the coefficient of the x- term )²

Coefficient of x term is 3

half the coefficient of the x- term is 1.5

( half the coefficient of the x- term )² is 2.25

Add 2.25 to the quadratic expression inside the bracket, we get,

In general, we adding 11.25 (that is, 2.25x5=11.25) to the given expression.

we get,

Multiply 5 to the above equation, we get

Based on the above calculation, we adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Adding 11.25 and multiplying the expression by 5 in order to create a perfect square.

Answer:

C) 20 Speeders

Step-by-step explanation:

5 divided by 2 is 2.5

there are 2.5 speeders per hour

over the span of 8 hours just multiply

8x2.5=20

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

\(s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247\)

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

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The constant of proportionality is y divided x so in this case will be:

2/3 of cookies were she saved.

A fraction represents a part of a whole.

The first batch consisted of 120 gingerbread cookies

Second batch consisted of 150 shortbread cookies.

And, the same fractions of cookies from each batch were saved.

Let x parts of each of cookies were saved.

Then The number of the saved gingerbread cookies = 120 x

While, The number of the saved shortbread cookies = 150 x

150x-120x=20

30x=20

x=20/30

x=2/3

Hence 2/3 of cookies were she saved.

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There are a total of 6 different dietary plans that can be created for a given week when choosing exactly two types of nuts from a list of peanuts, almonds, cashews, and walnuts.

To determine the number of different dietary plans, we need to consider the combinations of two nuts that can be chosen from the given list. Since there are four types of nuts, we can calculate the number of combinations using the formula for combinations:

C(n, r) = n! / (r!(n-r)!)

where n is the total number of options (4 in this case) and r is the number of options to be chosen at a time (2 in this case).

Using the formula, we have:

C(4, 2) = 4! / (2!(4-2)!) = 4! / (2!2!) = (4 * 3 * 2!) / (2! * 2!) = 6

Therefore, there are 6 different dietary plans that can be created for a given week when choosing exactly two types of nuts from the list of peanuts, almonds, cashews, and walnuts.

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Answer:

7

Step-by-step explanation:

Since he was 6 days in mexico and 42 days in summer camp, we can divide 42 by 6 which would give us 7 so he spent 7 times more days in camp than in mexico

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

I got 0.6

Step-by-step explanation:

plug in c and d

0.5(15) - 2.3(3)

multiply them

7.5 - 6.9 = 0.6

Answer:

24/-4=-6

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

52

Step-by-step explanation:

all that you had to do not in a mean way was to search up 2/5 of 130

The given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.

What is polynomial expression?

In mathematics, the polynomial expression based on the degree of the equation. It is classified as monomial or binomial depending upon the highest power of the variable in the quadratic equation.

According to the question, the given polynomial expression for the simplification is as follows:

Expression: 2a-5a²-7a+ 9-3a²+ 10+8a³-13 + 7a

Rearranging the terms to check the polynomial degree of the equation:

Expression: 8a³-3a² -5a² +2a - 7a + 7a + 9 + 10 -13

Expression: 8a³-8a² +2a + 6

Hence, the given polynomial expression is Trinomial and the expression is 8a³-8a² +2a + 6.

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Answer:

(2x^(3)y^(2))^(3) the little ^ means "sub"

Step-by-step explanation:

Use the power rule to distribute the exponent.

Raise 2 to the power of 3

Multiply the exponents in (x^3)^3

Multiply the exponents in (y^2)^3

Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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The solution to the initial value problem is:

y = (1/7)t^2 - (1/6)t + (7/5) + (761/210)t^(-5).

To solve the given initial value problem, we can use an integrating factor to solve the linear first-order ordinary differential equation. The integrating factor for the equation ty' + 4y = t² - t + 7 is given by:

μ(t) = e^(∫(4/t) dt) = e^(4ln|t|) = t^4.

Now, we multiply both sides of the equation by the integrating factor:

t^4(ty') + 4t^4y = t^6 - t^5 + 7t^4.

Simplifying:

t^5y' + 4t^4y = t^6 - t^5 + 7t^4.

This can be rewritten as:

(d/dt)(t^5y) = t^6 - t^5 + 7t^4.

Now, we integrate both sides with respect to t:

∫(d/dt)(t^5y) dt = ∫(t^6 - t^5 + 7t^4) dt.

Integrating:

t^5y = (1/7)t^7 - (1/6)t^6 + (7/5)t^5 + C,

where C is the constant of integration.

Dividing both sides by t^5:

y = (1/7)t^2 - (1/6)t + (7/5) + C/t^5.

Now, we can use the initial condition y(1) = 5 to find the value of the constant C:

5 = (1/7)(1^2) - (1/6)(1) + (7/5) + C/(1^5).

5 = 1/7 - 1/6 + 7/5 + C.

Multiplying through by the common denominator 210:

1050 = 30 - 35 + 294 + 210C.

Simplifying:

1050 = 289 + 210C.

Rearranging and solving for C:

210C = 1050 - 289,

C = 761/210.

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