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3 years ago

The blanks and examples for these properties

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

4 0

Commutative - ORDER doesn't matter. ex. 5+7 = 7+5

Associative - GROUPING of values doesn't matter. ex. (7 +/* 2) + 4 = 7 +/* (2 + 4)

Identity - Anything added to ZERO is the original number. Anything multiplied by 1 is the original number. ex. 4 + 0 = 4 * 1 = 4

Inverse - Using the OPPOSITE to cancel the terms. ex. a + (-a) = (-a) + a = 0

a * 1/a = 1/a * a = 1 (if a ≠ 0)

Zero - Multiplying by ZERO, always equals ZERO. ex. 4 * 0 = 0

Distributive - Distribute a value outside the parenthesis to all values inside the parenthesis. ex B(A+Y) = BA + BY

Hope this helps! :)

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2 years ago

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3 years ago

An 8.0 kg block is moving at 3.2 m/s. A net force of 10 N is constantly applied on the block in the direction of its movement, u

Softa [21]

Answer:

5.02 m/s

Step-by-step explanation:

We are given that

Mass of block,m=8 kg

Initial velocity,u=3.2 m/s

Net force ,F=10 N

Distance,s=6 m

We have to find the approximate final velocity of the block.

We know that $a=\frac{F}{m}$

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2 years ago

Let the abbreviation PSLT stand for the percent of the gross family income that goes into paying state and local taxes. Suppose

gavmur [86]

Answer:

Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

Step-by-step explanation:

We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.

If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.

Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.

<u></u>

<u>SO, Margin of error formula is given by;</u>

Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

where, $\alpha$ = significance level = 10%

$\sigma$ = standard deviation = 2.0

n = number of families

Now, in the z table the critical value of x at 5% ( $\frac{0.10}{2} = 0.05$ ) level of significance is 1.645.

SO, Margin of error = $Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }$

0.5 = $1.645 \times \frac{2}{\sqrt{n} }$

$\sqrt{n} =\frac{2\times 1.645 }{0.5}$

$\sqrt{n} =6.58$

n = $6.58^{2}$

= 43.3 ≈ 43

Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

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