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4 years ago

Which transformations are needed to change the parent cosine function to y= 3cos(10(x-pi) )?

2 answers:

6 0

<span>The parent cosine function can be transformed and translated. So, from the basic function cos(x) we can obtain function acos(bx+c). In our case, a=3- amplitude, b=10- the period change and c=-pi- the phase shift. So, the parent cosine function is mutiplied with 3 (which gives the amplitude of the function, 3*0.5=1.5). The period of the function is changed, and is 2pi/b=2pi/10=pi/5 and the cos(x) is phase shifted for c/b=-pi/10.</span>

galina1969 [7]4 years ago

3 0

Answer:

I think it´s B

Step-by-step explanation:

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

Paraphin [41]

Answer:

0.13% of students have scored less than 45 points

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 60, \sigma = 5$

About what percent of students have scored less than 45 points?

This is the pvalue of Z when X = 45. So

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

$Z = \frac{45 - 60}{5}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0013

0.13% of students have scored less than 45 points

3 0

4 years ago

Find the GCF of 200 and 75.

liraira [26]

the answer for your question

is b.25

4 0

3 years ago

I need help with question c

Lyrx [107]

Answer:

take the common between dy and y

do similarly also with x .and make a equation

3 0

2 years ago

What is the graph for y=3x+13 and y=x-3

defon

In a question like this, you want to approach it with the equation "slope intercept form" which is $y=mx+b$
b = y-intercept
- the point where the line intercepts the y-axis
m = slope

I suggest using Desmos Graphing Calculator, it really helps and shows you a graphed equation. Let me know what you get!

3 0

3 years ago

What is the length of segment AB?

Scorpion4ik [409]

Point A is at (12,12)

Point B is at (48,24)

Use the distance formula √((x2-x1)^2 + (y2-y1)^2)

Length = √((48-12)^2 + (24-12)^2)

Length = √(36^2 + 12^2)

Length = √(1296 + 144)

Length = √1440

The answer is E.

5 0

3 years ago