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Tutor profile: Laura H.

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Laura H.
Experienced Math, Physics and Statistics tutor
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Questions

Subject: Spanish

TutorMe
Question:

Completa las oraciones con la forma apropiada del presente reflexivo, usando los siguientes verbos: Despedirse levantarse acostarse llamarse quedarse sentarse sentirse dormirse vestirse Mi mamá en la cama a las nueve de la noche y poco después . Yo con jeans y camiseta para ir a la escuela y de mis padres al salir de la casa. Jorge y yo en la estación del metro y en las sillas. Vosotros mal por no haber pasado el exámen. Mi padre Andrés, él trabaja muy lejos y a las 5 de la mañana.

Inactive
Laura H.
Answer:

Los verbos reflexivos en español se forma uniendo un verbo en infinitivo con un pronombre reflexivo (me, te, se,nos, os). Se usa para hablar de actividades, rutinas y para dar instrucciones. Mi mamá se acuesta en la cama a las nueve de la noche y poco después se duerme. Yo me visto con jeans y camiseta para ir a la escuela y me despido de mis padres al salir de la casa. Jorge y yo nos quedamos en la estación del metro y nos sentamos en las sillas. Vosotros os sentís mal por no haber pasado el exámen. Mi padre se llama Andrés, él trabaja muy lejos y se levanta a las 5 de la mañana.

Subject: Calculus

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Question:

What value of c will make f(x) continuous at x = −1 𝑓(𝑥) = (𝑥^2 − 6𝑥 − 7) / (𝑥 + 1) , 𝑥 ≠ −1 𝑓(𝑥) = 𝑐 , 𝑥 = −1

Inactive
Laura H.
Answer:

Calculate the limit of the function 𝑓(𝑥) = (𝑥^2 − 6𝑥 − 7) / (𝑥 + 1), at x = −1 lim of [(𝑥^2 − 6𝑥 − 7) / (𝑥 + 1)], when (x→−1) Identify if the numerator and/or denominator can be factorized, to simplify the equation. For this particular exercise, the numerator is a trinomial of the form x^2 + bx + c. To factor this trinomial, find two numbers wiht the sum of the middle term b, and product of the last term c: (𝑥^2 − 6𝑥 − 7) = (𝑥 − 7)(𝑥 + 1) Substitute the terms into the limit equation: lim of [(𝑥 − 7)(𝑥 + 1) / (𝑥 + 1)], when (x→−1) Simplifying the equation, lim of [𝑥 − 7], when (x→−1) Finally, substitute the value of x = -1 into the expression x - 7, to find the value of c: −1 − 7 = −8 Therefore, the value of c to make f(x) continuous at x = −1 is: c = −8

Subject: Statistics

TutorMe
Question:

Construct a 95% confidence interval if the sample size is 30, mean is 60 and the standard deviation is 8.

Inactive
Laura H.
Answer:

The equation to calculate the confidence interval is given by: CI = X ± t * SE Where X is the mean, t is the test statistic, and SE is the standard error. From the statement we have the following information: The mean -> X = 60 The standard deviation -> σ = 8 The sample size -> n = 30 A 95% confidence interval To estimate test statistic (t), it is necessary to find the degrees of freedom (DOF) and the significance level (α), which is the input data into the t-distribution table. The equation to estimate the degrees of freedom is: DOF = n - 1 and the equation to estimate the significance level is: α = (1 - CI) / 2 Therefore, the DOF and α for this this exercise are: DOF = 30 - 1 = 29 α = (1 - 0.95) / 2 = 0.025 Using these values into the t-distribution table, we find that the test statistic is:: t = 2.04523 Now, to calculate the standard error (SE), we use the following equation: SE = σ / √n Substituting the data given in the statement, the standard error for this exercise is: SE = 8 / √30 = 1.4606 Using the estimated t and SE, substitute these values into the CI equation to calculate the 95% confidence interval: CI = 60 ± 2.04523 * 1.4606 Therefore, the 95% confidence interval is between 57.01 and 62.99.

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