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N76 [4]
3 years ago
12

Indicating whether the following statements are True (T) or False (F).

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0
<span>1. The difference of two rational numbers is always a natural number. TRUE
</span>2. The ratio of two rational numbers is always positive .FALSE

3. The difference of two rational numbers is always a rational number. TRUE

4. The quotient of two rational numbers is always a real number (provided the denominator is non-zero). FALSE

5. The quotient of two rational numbers is always a rational number (provided the denominator is non-zero).TRUE 

6. The sum of two rational numbers is always a rational number. FALSE

7. The product of two rational numbers is always a rational number.<span> FALSE</span>
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Yesterday 96 people attended the school band concert, and 3/4 of them stayed for the cookies and punch. How many people stayed f
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72 people stayed, because 96 ÷ 4 = 24, and 24 * 3 is 72.

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3 years ago
. There are 11 boys and 5 girls that tried out to
Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

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2 years ago
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David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions below is shown some informat
andrew11 [14]

The required diagram is attached in the picture below :

Answer:

15.05 miles

2 :09:12

5 hours 19 minutes 18 seconds

Step-by-step explanation:

Given :

28/4/18:

Time : 1 :03 : 25

Fastest mile = 02 : 25

Distance = 15.05 miles

03/5/18:

Time : 2:06: 41

Fastest mile = 02 : 53

Distance = 28.70 miles

08/5/18:

Time : 2 :09:12

Fastest mile = 02 : 45

Distance = 26.39 miles2

1.) shortest distance cycled :

From the data:

15.05 < 26.39 < 28.70

Shortest distance cycled = 15.05 miles

The longest the cycled:

1 :03 : 25 < 2:06: 41 < 2 :09:12

Longest = 2 :09:12

Total cycling time :

1 :03 : 25 + 2:06: 41 + 2 :09:12

(1 + 2 + 2)= 5 hrs

(03 + 06+ 09) = 18 minutes

(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds

18 minutes + 1 minute = 19 minutes

Total = 5 hours 19 minutes 18 seconds

7 0
3 years ago
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