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2 years ago

15

Evaluate and Explain 3t(t+2)-3t^2 for t=19 and Simplifiy -(3a-2b)-3(-a-b)

1 answer:

Yuri [45]2 years ago

5 0

1 ) 3 t ( t + 2 ) - 3 t² =
= 3 t² + 6 t - 3 t² = 6 t = 6 · 19 = 114

2 ) - ( 3 a - 2 b ) - 3 ( - a- b ) =
= - 3 a + 2 b + 3 a + 3 b = 5 b

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Four less than the product of a number and 7 is eight more than that number

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Determine which fraction is larger 3/7 or 1/3 find the common denominator

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Answer:

a $Pr = 0.25$

b $Pr = 0.50$

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$r = 2$ --- faces of a coin

First, is to determine the sample size.

This is calculated as:

$Size =r^n$

$Size =2^4$

$Size =16$

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This event is represented as:

$E=\{HHHH, HHTH, HTHH, HTTH\}$

The probability is calculated as:

$Pr = \frac{n(E)}{Size}$

$Pr = \frac{4}{16}$

$Pr = 0.25$

b) At least 2 consecutive flips that is heads.

This event is represented as:

$E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}$

The probability is calculated as:

$Pr = \frac{n(E)}{Size}$

$Pr = \frac{8}{16}$

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c) First is tail and at least 2 consecutive flips is head.

This event is represented as:

$E=\{THHH,THHT,TTHH\}$

The probability is calculated as:

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