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2 years ago

The true conditional statement, "If 1/2 (m∠ABC) = m∠ABD, then m∠ABC = 2(m∠ABD)," illustrates which property of equality?

Mathematics

1 answer:

suter [353]2 years ago

6 0

Answer:

Step-by-step explanation:

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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

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2 years ago

Kylie bought pizza for $12.75 for medium drinks Apollo’s pizza define a variable and write an expression to represent the total

ycow [4]

The answer is 15.75 for the total

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2 years ago

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

$40x -10x \leq 9,800$

Where $x$ represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

$30x\leq 9,800$

Solving for $x$

$x\leq \frac{9800}{30}\\ x \leq 326.67$

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

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Can you helo me with number 8?

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Answer:

all work is shown and pictured

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The quotient of w and 10 is equal to 7

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Answer:

Step-by-step explanation:

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