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aalyn [17]
3 years ago
12

Complete each question by choosing or typing in the best answer. To receive the highest score, be sure to leave nothing blank. W

hen you have completed the test, click the "Grade My Test Now" button at the end of the test. If you run out of time, click the "Save for Me to Complete Later" button. Tests are automatically saved in case of internet disruption.
Language:
English - Espaol
x - y
1 - 1
2 - 4
3 - 9
4 - 16
The given table is that of a quadratic function. If the pattern is continued, what is y when x = 6?
A) 12
B) 18
C) 36
D) 48
Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

The correct option is C) 36

Step-by-step explanation:

Consider the provided table:

x - y

1 - 1

2 - 4

3 - 9

4 - 16

Observe the pattern:

If we square the x value we can find the corresponding y value.

For example

2² = 4

Where 2 is x value and 4 is corresponding y value, similarly

3² = 9

4² = 16

Now we need to find the y value when x=6.

To find this simply square the x value that will gives us the corresponding y value.

6² = 36

Hence, the correct option is C) 36

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For x y chart 19.36.2.27.13
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What is the value of -9 + (-4 + 7) (2)?
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5 0
3 years ago
Read 2 more answers
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0
2 years ago
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