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2 years ago

14

2. A boy scored the given marks in various class-tests during a term, (each test being marked out of 20): 15, 17, 16, 16, 10, 12

, 14, 16, 19, 12, 16. (a) What is his modal marks?

1 answer:

marshall27 [118]2 years ago

5 0

Answer:

16 is the number occurring most often in the list.

Step-by-step explanation:

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It will be option A.
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<u>Answer:</u>

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2 years ago

What is the mean of 5, 8, 16, 22, 19, 27, 32? (Round to the nearest whole number.)

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Answer:

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Step-by-step explanation:

Add them up then divide by the amount of numbers there are.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

irinina [24]

Answer:

The 3rd term is

$ar^2$

Step-by-step explanation:

From the given information, the first term of the sequence is

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The explicit formula for a geometric sequence is :

$a_n=a_1(r^{n-1})$

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This simplifies to:

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3 years ago

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

Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: $y = 3 \cos(10 (x -\pi))$

We can assume the parent function to be:

$y = \cos (x)$

The new function can be represented as:

$y = A*\cos((\frac{2\pi}{B})(x-c))$

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

$y = A*\cos((\frac{2\pi}{B})(x-c))$ to $y = 3 \cos(10 (x -\pi))$

$A = 3$

$c = \pi$

$\frac{2\pi}{B} = 10$

Solve for B

$B = \frac{2\pi}{10}$

$B = \frac{\pi}{5}$

Using the calculated values of $A,\ B\ and\ c.$ This implies that, the following transformations occur on the parent function:

<em>Vertically stretched by </em> $3$ <em />
<em>Horizontally compressed by </em> $\frac{\pi}{5}$ <em />
<em>Right shifted by </em> $\pi$ <em />

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3 years ago

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