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Mademuasel
10 days ago
7

If ƒ(x ) = 3x + 1 and and ƒ -1 = , then the ordered pair of ƒ -1(10) = (10, 31) (10, 3) (3, 10)

Mathematics
1 answer:
AnnZ [11.8K]10 days ago
6 0
        f(x) = 3x + 1
           y = 3x + 1
      y - 1 = 3x + 1 - 1
      y - 1 = 3x
         3       3
¹/₃y - ¹/₃ = x
           y = ¹/₃x - ¹/₃
      f⁻¹(x) = ¹/₃x - ¹/₃
    f⁻¹(10) = ¹/₃(10) - ¹/₃
    f⁻¹(10) = 3¹/₃ - ¹/₃
    f⁻¹(10) = 3
It is equal too (10, 3).
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Answer:

The recorded temperature is -0.675ºC.

Detailed explanation:

To tackle problems involving normally distributed samples, the z-score formula can be utilized.

In a distribution with mean \mu and standard deviation \sigma, the z-score for a specific measure X is calculated as follows:

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

The Z-score indicates how many standard deviations a given measure deviates from the mean. Once the Z-score is determined, we refer to the z-score table to obtain the corresponding p-value. This p-value represents the likelihood that the measure's value is less than X, thereby indicating the percentile of X. By taking 1 minus the p-value, we find the probability that the measure's value exceeds X.

For this scenario, we know that:

Assuming the thermometer readings follow a normal distribution with a mean of 0◦ and a standard deviation of 1.00◦C, this leads us to \mu = 0, \sigma = 1

We need to determine P25, which is the 25th percentile.

This represents the value of X corresponding to Z with a p-value of 0.25, thus we utilize Z = -0.675, applicable between Z = -0.67 and Z = -0.68.

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15 days ago
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The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).

Let T be (h, k). According to the problem:

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Answer:

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Step-by-step explanation:

Let

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utilizing a graphing tool

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