Which of the following statements is true for ∠a and ∠b in the diagram?

The probability that they both have type A: 0.29 x 0.29 = 0.0841

The probability that they both have type A: 0.35 x 0.35 = 0.1225

The probability that they both have type AB: 0.24 x 0.24 = 0.0576

The probability that they both have type O: 0.12 x 0.12 = 0.0144

The probability that they both have the same:

0.0841 + 0.1225 + 0.0576 + 0.0144 = 0.2786

The probability that Brian and Jennifer share the same blood type is approximately 0.2786 or 27.86%.The probability that Brian and Jennifer share the same blood type can be calculated by considering all the possible cases where they can have the same blood type.

There are four blood types: A, B, AB, and O. Since there are 4 possibilities for Brian's blood type and 4 possibilities for Jennifer's blood type, there are a total of equally likely outcomes for their blood types.

Out of these 16 possible outcomes, there are two cases where Brian and Jennifer share the same blood type: either both have the same blood type A, B, AB, or O.

1. Both have blood type A:Probability = Probability(Brian has A) × Probability (Jennifer has A) = 0.29 × 0.29 = 0.0841.

2. Both have blood type B:Probability = Probability(Brian has B) × Probability (Jennifer has B) = 0.35 × 0.35 = 0.1225.

3. Both have blood type AB:Probability = Probability(Brian has AB) × Probability (Jennifer has AB) = 0.24 × 0.24 = 0.0576.

4. Both have blood type O:Probability = Probability(Brian has O) × Probability (Jennifer has O) = 0.12 × 0.12 = 0.0144.

Now, add up the probabilities of these four cases:

Therefore, the probability that Brian and Jennifer share the same blood type is approximately 0.2786 or 27.86%.

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Answer:

x = 4

Step-by-step explanation:

The given equation is as follows :

4(3x - 6) = 24

If we want to solve the above equation, the steps are:

Using distributive property first as:

4(3x)-4(6)=24

12x-24=24

Adding 24 both sides,

12x-24+24=24+24

12x=48

x=4

So, the value of x = 4. All given steps are correct.

Answer : The correct option is, (B) Step 2

Step-by-step explanation :

The given expression is:

3(x - 2) = 3

In this expression, 'x' is a variable.

By using distributive property, we get:

3x - 6 = 3

Now adding 6 on both side, we get:

3x - 6 + 6 = 3 + 6

Now combining like terms, we get:

3x = 9

Now dividing the expression by 3, we get the value of 'x'.

x = 3

The meaning of like terms in mathematics is that have the same variables and exponents.

Hence, the step result of combining like terms is, Step 2

Answer:

Step 1

Step-by-step explanation:

Like terms are mathematical terms that have the exact same variables and exponents, this is why step 1 is the answer.