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Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type.Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities.
What is the probability that Brian and Jennifer share the same blood type?

Answers

Answer 1

Answer:

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

Answer 2

Answer:

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 $4 * 4 = 16$ 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:

$0.0841 + 0.1225 + 0.0576 + 0.0144 = 0.2786.$

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

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Simplify each equation 3(5x2+2x-4)-x7x2+2x-3)

HELPPP PLESSEEE I NEEDIT RN TYY

Answers

Answer:

1. 12

2. 0

3. 10

4. 6

Step-by-step explanation:

I need helppp !!! Pls

Answers

Answer:

m < B = 55°

Step-by-step explanation:

The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In this given problem, the exterior angle of the Δ ABC is < C. The remote interior angles of < C are < B and < A. The sum of these two remote interior angles is equal to the m < C.

We're also given the information that m< C = 115°, m < A = 4y°, and m < B = (3y + 10)°

Therefore, to solve for the m < B, we can establish the following formula:

m < A + m < B = m < C

4y° + (3y + 10)° = 115°

4y° + 3y° + 10° = 115°

Add like terms:

7y° + 10° = 115°

Subtract 10° from both sides:

7y° + 10° - 10° = 115° - 10°

7y° = 105°

Divide both sides by 7 to solve for y:

7y°/7 = 105°/7

y = 15°

Therefore, the value of y = 15. To verify whether this is the correct value, substitute y = 15 into the equality statement:

m < A + m < B = m < C

4(15)° + [3(15) + 10]° = 115°

60° + 55° = 115°

115° = 115° (True statement, which means that y = 15 is the correct value).

Therefore, m < B = (3y + 10)° = 55°

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Use the compound interest formulas A = P 1 + r n nt and A = Pe rt to solve. 2) Suppose that you have $8000 to invest. Which investment yields the greater return over 6 years: 6.25% compounded continuously or 6.3% compounded semiannually? 2) A) $8000 invested at 6.3% compounded semiannually over 6 years yields the greater return. B) $8000 invested at 6.25% compounded continuously over 6 years yields the greater return. C) Both investment plans yield the same return.

Answers

Answer: A

Compound interest simply defined as the interest added at regular interval. Compound interested can be calculated using

Compound interest = P (1+) ^nt and Pe ^rt

P = Initial balance

r = Annual interest rate

n = Number of times the interest is compounded per year

t =Number of year money is invested

Using

Compound interest = P (1+ ) ^nt

Continuous

P= $ 8000

t = 6

r = 6.25%

= 0.0625

n = 1

Compound interest = 8000 (1+) ^1×6

= 8000 (1 + 0.0625) ^6

= 8000 (1.0625) ^ 6

= 8000× 1.4387

= $11,509.6

Semi- annually

P= $ 8000

t = 6

r = 6.3%

= 0.063

n = 2

Compound interest = 8000 (1+) ^2×6

= 8000 (1 + 0.063) ^12

= 8000 (1.063) ^12

= 8000× 1.4509

= $11,607.0

Investing $ 8000 semi-annually at 6.3% for 6 years yields greater return

Therefore the answer is (A)

What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept formO y=-3x-5
O y=-3x+5
Oy - 3x-5
O y=3x+5

Answers

Final answer:

The slope of the line through points (2, -1) and (5,-10) is -3. With y-intercept +5, the line's equation in slope-intercept form is y = -3x + 5.

Explanation:

The subject of your question is in the field of Mathematics, specifically algebra.

You are looking for the equation of the line in slope-intercept form, which is y = mx + b where m is the slope and b is the y -intercept. We first calculate the slope using the formula (y2 - y1) / (x2 - x1). Plugging in the values we get, m = (-10 - (-1)) / (5 - 2) = -9 / 3 = -3. Thus, m = -3. Then, to find the y-intercept, we use the point-slope form of a line equation y - y1 = m(x - x1), and plug in one of the points (2, -1) and the slope value, and then solve for b. The equation in slope-intercept form will be y = -3x + 5.

So the answer to your question is y = -3x + 5.

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Answer:

y = -3x + 5

Step-by-step explanation:

Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).

Which decimal number is equivalent to 7/10