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lyudmila [28]
4 years ago
10

PLEASE HELP god bless Justify each step of the solution by stating the property that was used to get to each step. Given: 4(-6x

– 3) + 24x = -72x + 132 Step 1: -24x – 12 + 24x = -72x + 132 Step 2: –12 = -72x + 132 Step 3: -144 = -72x Step 4: 2 = x
Mathematics
1 answer:
baherus [9]4 years ago
6 0

4(-6x – 3) + 24x = -72x + 132


Step 1  -24x – 12 + 24x = -72x + 132    Distribute Property of Equality


Step 2: –12 = -72x + 132    equivalent


Step 3: -144 = -72x    Subtraction Property of equality


Step 4: 2 = x   Equivalent / Division property of equality



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Given:

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2. P(H on second coin)?

3. List the paired outcomes for tossing two coins.

4. How many ways are there for two coins to land?

5. What is P(HH)?

Solution:

If a a coin is tossed, then we have to possible outcomes, i.e., heads (H) and tails (T).

It is given that two coins are tossed.

1. The probability of getting a heads on first coin is:

P(H \text{ on first coin})=\dfrac{1}{2}

2. The probability of getting a heads on second coin is:

P(H \text{ on second coin})=\dfrac{1}{2}

3. If two coins are tossed, then the total possible outcomes are:

\{HH,HT,TH,TT\}

4. The number of ways for two coins to land is 4.

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P(HH)=\dfrac{1}{4}

Therefore, the required solution are:

1. P(H \text{ on first coin})=\dfrac{1}{2}

2. P(H \text{ on second coin})=\dfrac{1}{2}

3. List of possible outcomes is \{HH,HT,TH,TT\}.

4. Number of possible outcomes is 4.

5. P(HH)=\dfrac{1}{4}

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