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3 years ago

Find the missing length of the longer leg in the 30° – 60° – 90° triangle. short leg = 3

Mathematics

1 answer:

Lemur [1.5K]3 years ago

5 0

Answer:

3 root 3

Step-by-step explanation:

in a 30 60 90 degree triangle the side lengths are always in the ratio 1 2 and root 3

if the shortest leg is 3

that means the other legs ar

6 and 3 root 3

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The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook

kogti [31]

Answer:

34.86% probability that it will be huge success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge successes

This means that $P(B) = 0.2$

99 % of the huge successes received favorable reviews

This means that $P(A|B) = 0.99$

Probability of receiving a favorable review:

20% are huge successes. Of those, 99% receive favorable reviews.

30% are modest successes. Of those, 70% receive favorable reviews.

30% break even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

$P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568$

Finally

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486$

34.86% probability that it will be huge success

4 0

3 years ago

A bag contains 11 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the pro

Elena-2011 [213]

Answer:

11/23 or 0.478

Step-by-step explanation:

1. Find the probability of selecting 2 red chips:

11/23 * 10/22 = 5/23

2. Find the probability of selecting 2 blue chips:

12/23 * 11/22 = 6/23

3. Add the two probabilities:

5/23 + 6/23 = 11/23 = 0.478 (rounded to 3 decimal places)

hope this helps! <3

4 0

2 years ago

The area of a 25 inch TV screen is 300 in.². The area of a 40 inch TV screen is 768 in.². The area of the smaller screen is what

Rina8888 [55]

Answer:

39.0625%

Step-by-step explanation:

The area of a 25 inc TV screen is 300in²

The area of a 40 inch TV screen is 768in²

Percentage of area of the smaller screen to larger screen is;

300/768 × 100 = 39.0625%

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3 years ago

If angle ABC is congruent to angle DEF, what substitution property would this equation be??? Angle DEF=180 degrees - angle ABC A

Elodia [21]

Answer:

Step-by-step explanation:

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3 years ago

Can someone please help me with the question, a/4 = 15/12 a=?

malfutka [58]

Answer:

a = 5

Step-by-step explanation:

a/4 = 15/12

We can use cross products to solve

a* 12 = 4*15

12a = 60

Divide each side by 12

12a/12 = 60/12

a =5

7 0

2 years ago

Read 2 more answers