Write the Taylor Series for f(x) = sin (x)center<br> 4x^4+3x^3+2x^2 x 8 centered at a 2

The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions

Artemon [7]

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

8 0

2 years ago

Help me plzzzzzzzzzzz

sammy [17]

I think the answer is 5

7 0

2 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

$Z = \frac{X - \mu}{\sigma}$

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

$Z = \frac{X - \mu}{\sigma}$

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

8 0

3 years ago

Can someone help me with this math homework please!

Daniel [21]

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

$\frac{2}{3}$ - x + $\frac{1}{6}$ = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

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Adding the 2 fractions on the left side gives

$\frac{4}{6}$ + $\frac{1}{6}$ - x = 6x , that is

$\frac{5}{6}$ - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

8 0

2 years ago

Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number

oksian1 [2.3K]

Answer:

Option D

Step-by-step explanation:

The response variable is also known as the dependent variable. It depends on another factor which is the independent variable to cause change/ response to it.

In this study, they want to test if an increase in the number of Math workshop which is the independent variable will cause a change in the final exam scores which is the dependent variable. The response to this inquiry is thus the final exam score which is also known as the response variable.

7 0

2 years ago

Write the Taylor Series for f(x) = sin (x)center 4x^4+3x^3+2x^2 x 8 centered at a 2