Carl runs a distance of 1.17 miles in 9 minutes at that rate how far does Carl run in one minute?

Angle A is a supplementary to Angle B. If < b = 65 degrees what is the value of x if < A = 5x -20 ?

Sedbober [7]

Answer:

x = 27

Step-by-step explanation:

Supplementary angles add up to 180 degrees

65 + 5x - 20 = 180

45 +5x = 180

5x = 135

x = 27

3 0

3 years ago

A high school janitor has 140 keys on his key chain. Of these 140 keys, 100 open classroom doors, 80 open the

Afina-wow [57]

Answer:

1. P(C) = 5/7

2. P(T) = 4/7

3. P(C and T) = 3/7

4. P(C or T) = 6/7

Correct statement and question:

A high school janitor has 140 keys on his key chain. Of these 140 keys, 100 open classroom doors, 80 open the door to the teachers' lounge, and 60 open classroom doors and the teachers' lounge. Using this information, answer each of the following questions.

Let C be the event that a randomly selected key opens a classroom and T be the event that a randomly selected key opens the teachers' lounge.

1. What is P(C), the probability that a key opens a classroom?

2. What is P(T), the probability that a key opens the teachers' lounge?

3. What is P(C and T), the probability that a key opens a classroom and the teachers' lounge?

4. What is P(C or T), the probability that a key opens a classroom or the teachers' lounge?

Source:

Question that can be found at chegg dot com

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of keys the high-school janitor has = 140

Number of keys that open classroom doors = 100

Number of keys that open teachers' lounge = 80

Number of keys that open both = 60

2. What is P(C), the probability that a key opens a classroom?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(C) = 100/140 = 5/7 (Dividing by 20 numerator and denominator)

P(C) = 5/7

3. What is P(T), the probability that a key opens the teachers' lounge?

Substituting with the real given values:

P(T) = 80/140 = 4/7 (Dividing by 20 numerator and denominator)

P(T) = 4/7

4. What is P(C and T), the probability that a key opens a classroom and the teachers' lounge?

Substituting with the real given values:

P(C and T) = 60/140 = 3/7 (Dividing by 20 numerator and denominator)

P(C and T) = 3/7

5. What is P(C or T), the probability that a key opens a classroom or the teachers' lounge?

P(C or T) = P(C) + P(T) - P(C and T)

Substituting with the real given values:

P(C or T) = 5/7 + 4/7 - 3/7

P(C or T) = 6/7

7 0

4 years ago

Write 2.028 as a mixed number and simplyed

ratelena [41]

2 20/8 sorry if wrong

5 0

3 years ago

Across which line of reflection can regular polygon ABCDEFG reflect to map onto itself?

8_murik_8 [283]

Answer: A line that is a perpendicular bisector of AB

Step-by-step explanation:

The given picture is of regular heptagon .

There are seven lines of symmetry for a regular heptagon.

Line of symmetry of regular heptagon are those lines which intersect each vertex and the mid point of opposite side .

Therefore, only fourth option is giving the right answer.

A line that is a perpendicular bisector of AB is the line of reflection which can regular polygon ABCDEFG reflect to map onto itself .

4 0

3 years ago

Read 2 more answers

How to find percent increases

Alexxx [7]

To increase a umber by a certain percent, you imagine 100% as 1 then if you want to increase by x% you times your original number by (1+x) e.g. increase 25 by 13%

x=13
25 × 1.13 = 28.25

6 0

3 years ago