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3 years ago

10

A test has two parts, A and B, each containing 10 questions. A student needs to choose 8 questions from part A and 4 questions f

rom part B. In how many ways can he do that?

1 answer:

Tpy6a [65]3 years ago

3 0

Part A number of combinations of 8 from 10 = 10C8 = 10C2

= 10*9 / 2 = 45

Part B Number combinations = 10C4 = (10*9*8*7)/ (4*3*2) = 210

Total number of ways = 45 * 210 = 9450 (answer)

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42 add 1 than multiply by 4

AleksandrR [38]

Answer:

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Step-by-step explanation:

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fgiga [73]

Simplify the following:
2^3 (4×36/12 + 1/4)

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36/12 = (12×3)/12 = 3:
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1 + 48 = 49:
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(8×49)/4
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3 years ago

The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Dominik [7]

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

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y-------> the height of the actual

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$z=\frac{x}{y}$

we have

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$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

so

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

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Answer:

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Step-by-step explanation:

The equation of the direct variation is y = k x, where

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The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points <em>[except point (0, 0)]</em> to find the value of k

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--- × --- = ------ = ----
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--- × ---- = --------- = -------
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