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iris [78.8K]
3 years ago
12

Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows

at a rate of 0.25 cm per week. The compound inequality 11 < 7 + 0.25t ≤ 15 models the scenario. How long will it take Clara to grow out her hair to the desired length? It will take Clara more than blank weeks and up to and including blank weeks to grow out her hair. Fill in the blanks
Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

16, 32

Step-by-step explanation:

We need to solve for t in this compound inequality. Let's do that!

11 < 7 + 0.25t ≤ 15

4 < 0.25t ≤ 8

16 < t ≤ 32

Therefore, we know that it will take Clara more than 16 weeks and up to and including 32 weeks to grow out her hair.

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The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
zimovet [89]

Answer:

Option D) $275

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $235

Standard Deviation, σ = $20

We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.975

P( X < x) = P( z < \displaystyle\frac{x - 235}{20})=0.975  

Calculation the value from standard normal z table, we have,  

P( z < 1.960) = 0.975

\displaystyle\frac{x - 235}{20} = 1.960\\x =274.2 \approx 275

Approximately 97.5% of the students spent below $275 on textbook.

7 0
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Answer:

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Step-by-step explanation:

8 0
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5. Distribute the expression -2(v-10)
mrs_skeptik [129]

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Step-by-step explanation: -2 times v is -2v

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How do you simplify this
Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

----------------------------

(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

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x^2 + x + 1

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I only know what in the picture which is the letter A

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