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charle [14.2K]
3 years ago
14

Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer:

the correct answers are 22 and 8

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A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
3 years ago
Read 2 more answers
A neon light flashes five times every 10 seconds. Show that the light flashes 43 200 times in one day.
11Alexandr11 [23.1K]

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

60 seconds x 60 minutes = 3,600 seconds per hour

3,600 seconds per hour x 24 hours = 86,400 seconds per day.

The light flashes 5 times every 10 seconds:

5 flashes / 10 seconds = 1 flash every 2 seconds

86,400 seconds / 2 seconds = 43,200 flashes per day.

4 0
2 years ago
Suppose a class of 50 students has 20 males and 30 females. The insturctor will pick 1 (different) student to compete in 3 diffe
Pie

Answer:

Step-by-step explanation:

Total = 50

Males = 20

Females = 30

a) P(exactly 1 female) = P(1 female , 2 male)

(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908

b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))

= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3

= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489

4 0
3 years ago
Read 2 more answers
Which of the following lists the angles from smallest to largest
Tomtit [17]
I don’t understand the question
3 0
3 years ago
Read 2 more answers
Beginning in 2000, an orchestra increased its ticket price by a constant amount each year until 2010.
Scilla [17]

Answer:

$35.50

Step-by-step explanation:

55.50-48= 7.5

2008-2005 = 3

7.5 divided by 3 = 2.5 per year

2005-2000 = 5 multipled by 2.5 = 12.5

48-12.5=35.5

6 0
2 years ago
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