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Ghella [55]
3 years ago
10

What does the y-intercept (0,200) represent

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer:

The y-intercept is 200.  This represents your initial amount.  So at 0, your initial amount is 200.

Step-by-step explanation:


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Answer:

132 square cm = 20.46 square inches

Step-by-step explanation:

Total surface area = area of base (square) + 4 x area of one triangle.

=  {6}^{2}  + 4 \times  \frac{1}{2} \times 6 \times 8 \\  = 36 + 2 \times 48 \\  = 36 + 96 \\  = 132 \:  {cm}^{2} \\= 20.46\: inches^2

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Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

  • 15%, 25% and 70%

final solution:

  • 52 l of 45%

This includes 0.45*52l= 23.4 l acid

Let's assume:

  • amount of 15% solution= x
  • amount of 25% solution= y
  • amount of 70% solution= z
  • and we have z=2y

so there are 2 equation:

  • x+y+z=52
  • 0.15x+0.25y+0.7z=23.4

or

  • x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
  • 0.15x+0.25y+1.4y=23.4
  • 0.15x+1.65y=23.4
  • 0.15*(52-3y)+1.65y=23.4
  • 7.8-0.45y+1.65y=23.4
  • 1.2y=23.4-7.8
  • 1.2y= 15.6
  • y=15.6/1.2
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--------

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Step-by-step explanation:

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3 years ago
Read 2 more answers
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte
Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that \mu = 48, \sigma = 12

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 48}{12}

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0
3 years ago
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