Find the point of intersection between the plane that contains the axis intercepts p(4, 0, 0)

Answer:

33.333

Step-by-step explanation:

100/3=33.333 meaning that the logic came behind a sience for 626 people who filled out the servery meaning that How to explain the word problem It should be noted that to determine if Jenna's score of 80 on the retake is an improvement, we need to compare it to the average improvement of the class. From the information given, we know that the class average improved by 10 points, from 50 to 60. Jenna's original score was 65, which was 15 points above the original class average of 50. If Jenna's score had improved by the same amount as the class average, her retake score would be 75 (65 + 10). However, Jenna's actual retake score was 80, which is 5 points higher than what she would have scored if she had improved by the same amount as the rest of the class. Therefore, even though Jenna's score increased from 65 to 80, it is not as much of an improvement as the average improvement of the class. To show the same improvement as her classmates, Jenna would need to score 75 on the retake. Learn more about word problem on; brainly.com/question/21405634 #SPJ1 A class average increased by 10 points. If Jenna scored a 65 on the original test and 80 on the retake, would you consider this an improvement when looking at the class data? If not, what score would she need to show the same improvement as her classmates? Explain.

The p-value is less than our chosen level of significance (usually 0.05), we would reject the null hypothesis and conclude that there is a significant difference in handedness between men and women.

To test the null hypothesis that there's no difference in handedness between men and women, we should use the Chi-Square test for Independence. This test is used to determine if there is a significant association between two categorical variables, in this case, the gender and handedness of the students.

The table provided in the question shows the counts of students in each gender and handedness category. To perform the Chi-Square test for Independence, we would calculate the expected counts under the null hypothesis of no association, and then calculate the test statistic and p-value. If the p-value is less than our chosen level of significance (usually 0.05), we would reject the null hypothesis and conclude that there is a significant difference in handedness between men and women.

Note that the other tests mentioned (one-sample z-test, Chi-Square Goodness-of-fit test, and two-sample z-test) are not appropriate for this scenario as they are used for different types of hypotheses.

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1) undefined

2) 2

3) 0

4) -3

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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Answer:

21.7391%

Step-by-step explanation:

21800/1002.80

Evaluating f(t) when t=2 and t=5 yields different values. When t=2, f(t) simplifies to \(2e^2 + 20\). When t=5, f(t) simplifies to \(25e^5 - 6e^3 - 80\).

To evaluate f(t) at t=2, we substitute the value of t into the given expression. Using the unit step function [u(t)], we have 2⋅[u(2)] which evaluates to 2 since the unit step function is 1 for positive arguments. The term -5(t-3)⋅[u(t+1)] becomes -5(2-3)⋅[u(2+1)] = -5⋅(-1)⋅[u(3)] = 5⋅[u(3)] = 5. The term 5\(e^t\)⋅[δ(t+2)] simplifies to 5\(e^2\)⋅[δ(2+2)] = 5\(e^2\)⋅[δ(4)] = 5\(e^2\)⋅0 = 0 since the Dirac delta function is zero for non-zero arguments. The term (\(t^2\) + 2)⋅[u(t-3)] evaluates to (\(2^2\) + 2)⋅[u(2-3)] = 4⋅[u(-1)] = 4⋅0 = 0. Lastly, the term \(e^{-t}e^3.[u(t-1)]\) becomes \(e^{-2}e^3\)⋅[u(2-1)] = \(e^{-2}e^3\)⋅[u(1)] = \(e^{-2}e^3\)⋅1 = \(e^{-2}e^3\).

Thus, when t=2, f(t) simplifies to 2e^2 + 20.

Now let's evaluate f(t) when t=5. Following a similar process, we substitute t=5 into the given expression. The term 2⋅[u(5)] evaluates to 2 since the unit step function is 1 for positive arguments. The term -5(t-3)⋅[u(t+1)] becomes -5(5-3)⋅[u(5+1)] = -10⋅[u(6)] = -10. The term 5\(e^t\)⋅[δ(t+2)] simplifies to \(5e^5\)⋅[δ(5+2)] = 5\(e^5\)⋅[δ(7)] = 0. The term (\(t^2\) + 2)⋅[u(t-3)] evaluates to (5^2 + 2)⋅[u(5-3)] = 27⋅[u(2)] = 27 since the unit step function is 1 for positive arguments. Lastly, the term e^(-t)e^3⋅[u(t-1)] becomes \(e^{-5}e^3\)⋅[u(5-1)] = \(e^{-5}e^3\)⋅[u(4)] = \(e^{-5}e^3\).

Therefore, when t=5, f(t) simplifies to 25e^5 - 6e^3 - 80.

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Answer:

133 1/3

Step-by-step explanation:

1/3= 0.3333 repeating

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

B.) 15 Feet

Step-by-step explanation:

So how you would sove this problem is to see that 15/5=3, so then you will take 45 and divide that by 3 and get 15 Feet which brings your answer to be "B"!

I hope this helped you:)

To determine whether a cause-effect relationship exists between two variables, a researcher must use  an experimental approach.

A cause-and-effect relationship  is one which satisfies some conditions like:

Therefore, To determine whether a cause-effect relationship exists between two variables, a researcher must use  an experimental approach.

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Answer:

Step-by-step explanation:0.1

Answer:

A= third interior angle

108+24+A=180

A=180-24-108

A=48

Step-by-step explanation:

Answer:

6,000 meters.

Step-by-step explanation:

Denali is 6,190 meters so round it off to 6000.

Answer: 6,200

Step-by-step explanat

Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.

Therefore, the answer should be 6,200

Answer:−86 9/10

Step-by-step explanation:Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10 exponent 1 (10). Next, add the whole number to the left of the decimal.

Answer:

\(-86\frac{9}{10}\)

Answer:

x= 17

y= 8

QPR= 35

QRP= 60

Step-by-step explanation:

Answer:

The correct answer is A: 10

Step-by-step explanation:

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Answer to 2a: The mean of Asset A is 0.235  and the variance is 0.0123

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

2a. Mean of Asset A (Expected Value):

The mean of Asset A (E(A)) can be calculated as:

\(\[E(A) = \sum_{i} (x_i \cdot P_i)\]\)

where \(\(x_i\)\) represents the return on Asset A in each state and\(v \(P_i\)\) represents the probability of that state.

Using the given information, we have:

Boom:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Average:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Bust:

\(\(E(A) = (0.35 \cdot 0.30) + (0.20 \cdot 0.50) + (0.05 \cdot 0.20) = 0.235\)\)

Therefore, the mean of Asset A is\(\(E(A) = 0.235\).\)

2b. Correlation Coefficient of A and C:

The correlation coefficient\((\(\rho\))\)between Asset A and C can be calculated using the formula:

\(\[\rho = \frac{{\text{{Cov}}(A, C)}}{{\sigma_A \cdot \sigma_C}}\]\)

where\(\(\text{{Cov}}(A, C)\)\) represents the covariance between Asset A and C, and \((\sigma_A\)\) and\(\(\sigma_C\)\)represent the standard deviations of Asset A and C, respectively.

Using the given information, we have:

Boom:

\(\(\text{{Cov}}(A, C) = (0.35 - 0.235) \cdot (0.10 - 0.25) = -0.017\)\)

Average:

\(\(\text{{Cov}}(A, C) = (0.20 - 0.235) \cdot (0.15 - 0.25) = -0.005\)\)

Bust:

\(\(\text{{Cov}}(A, C) = (0.05 - 0.235) \cdot (0.35 - 0.25) = -0.017\)\)

Now, we calculate the standard deviations of Assets A and C:

\(\(\sigma_A = \sqrt{{\text{{Var}}(A)}} = \sqrt{0.0123} \approx 0.1108\)\)

\(\(\sigma_C = \sqrt{{\text{{Var}}(C)}} = \sqrt{0.0517} \approx 0.2274\)\)

Finally, we can calculate the correlation coefficient:

Boom:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Average:

\(\(\rho = \frac{{-0.005}}{{0.1108 \cdot 0.2274}} \approx -0.187\)\)

Bust:

\(\(\rho = \frac{{-0.017}}{{0.1108 \cdot 0.2274}} \approx -0.670\)\)

Therefore, the correlation coefficient between Asset A and C is approximately\(\(\rho \approx -0.670\) (Boom), \(\rho \approx -0.187\) (Average), and \(\rho \approx -0.670\) (Bust).\)

Answer to 2a: \(The mean of Asset A is \(0.235\) and the variance is \(0.0123\.\)

Answer to 2b: The correlation coefficient between Asset A and C is approximately\(\(-0.670\) (Boom), \(-0.187\) (Average), \(-0.670\)\)(Bust).

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Answer:

A

Step-by-step explanation:

Answer: square root of 34 is in between 5 and 6

Step-by-step explanation:

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.

So, a one-way ANOVA would be used.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}\)

Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.

Use MS-Excel to perform the ANOVA test.

Go to Data – Data Analysis – Anova: Single Factor

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-test statistic value is, F = 5.143.

The p-value of the test is, p-value = 0.072.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.072 > α = 0.05

The null hypothesis will not be rejected.

Conclusion:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Answer:

the picture wont show for the x

Step-by-step explanation:

Answer:

4cm

Step-by-step explanation:

Step-by-step explanation:

D = 4 + 8 = 12

because:

D = b ^2 - 4× a× c

Answer:

Step-by-step explanation:

g(x) = x^2 + 6

f(x^2 + 6) = 2(x^2 + 6) + 1 = 2x^2 + 12 + 1 = 2x^2 + 13

Answer:

Divide by 7 on both sides

Step-by-step explanation:

7x is a coefficient so you divide by 7

Answer:

600 sq in

Step-by-step explanation:

To determine how long it will take for the bison population to reach 300, we can solve the logistic differential equation dP/dt = 0.08P - 0.0000P^2, where P represents the population and t represents time measured in years.

The logistic differential equation models population growth with a carrying capacity. In this case, the equation represents the growth of the bison population. To find the time it takes for the population to reach 300, we need to solve the equation for P when dP/dt = 0.

Setting dP/dt = 0 and rearranging the equation, we have 0 = 0.08P - 0.0000P^2. Simplifying further, we get 0.0000P^2 - 0.08P + 300 = 0.

Using appropriate methods such as factoring, quadratic formula, or numerical approximation, we can find the values of P that satisfy this equation. The value of P that corresponds to the desired population of 300 will give us the time it takes for the population to reach that level.

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The Fahrenheit temperature of the can of soda, after 60 minutes, given the value of K would be 55°F.

We can use Newton's Law of Cooling formula to find the value of k:

58 = 35 + (73 - 35) x e ^ (-k x 40)

23 = 38 x e ^ (-k x 40)

23/38 = e ^ (-k x 40)

ln(23/38) = -k x 40

k = -ln(23/38) / 40 ≈ 0.010

Now that we have the value of k, we can find the temperature of the can of soda after 60 minutes (t = 60):

T = 35 + (73 - 35) x e ^ (-0.010 x 60)

T ≈ 35 + 38 x e ^ (-0.6) = 35 + 38 x 0.5488 = 54.856

The temperature of the can of soda after 60 minutes is approximately 55°F (rounded to the nearest degree).

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