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emmasim [6.3K]
3 years ago
14

Which of the numbers below belong to both the set of integers and rational numbers?

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0
I, II, and III are because a<span> </span>rational number<span> is any </span>number<span> that can be written as a ratio of two integers </span>
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Which best describes the relationship between the successive terms in the sequence shown?
Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

7 0
3 years ago
Read 2 more answers
A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
2 years ago
Christy works in a building that is 880 feet tall. She wants to know the height of the building in miles and write it in decimal
vovangra [49]

Answer: 0.166667 miles

Step-by-step explanation:

8 0
1 year ago
Help plsssssssss &lt;\3
kvv77 [185]

Answer:

7

Step-by-step explanation:

\frac{5}{5}  + 6 = 1 + 6

To solve this you just have to replace the letters with the corresponding numbers. 5/5 = 1 and 1+6 = 7

So your answer is 7!

7 0
2 years ago
suppose a charity received a donation of $22.8 million. if this represents 58% of the charity's donated fund, what is the total
Mrac [35]
The total amount is "x", so, if 22.8 is 58%, "x" is the 100%,

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;22.8&58\\&#10;x&100&#10;\end{array}\implies \cfrac{22.8}{x}=\cfrac{58}{100}\implies \cfrac{22.8\cdot 100}{58}=x
6 0
3 years ago
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