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Alexus [3.1K]
3 years ago
10

Resolva os seguintes exercícios sobre os Números racionais, a partir de situações problema: Para encher um álbum de figurinhas,

Karina contribuiu com 1/6 das figurinhas, enquanto Cristina contribuiu com 3/4 das figurinhas. Com que fração das figurinhas as duas juntas contribuíram?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

11/12

Step-by-step explanation:

Nesta questão, estamos interessados ​​em saber em que fração do álbum de figurinhas ambos contribuíram.

Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.

Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.

Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12

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What number divided by -7 is equal to -15​
steposvetlana [31]

Answer:

x = -105

Step-by-step explanation:

<u>What number</u> <u>divided by</u> <u>-7</u> <u>is equal to</u> <u>-15​</u>

         ∨                   ∨          ∨         ∨         ∨

         x                   ÷          -7         =        -15

Multiply -7 to both sides:

\frac{x}{-7}=15

x = -105

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San<br> R<br> APOR is a right triangle. IF RO = 8, what is PO?<br> mios<br> 16
attashe74 [19]

Answer:

PQ = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = \frac{1}{2}, then

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Read 2 more answers
A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a
Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

1)

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0
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