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ziro4ka [17]
2 years ago
5

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?

Mathematics
1 answer:
zmey [24]2 years ago
8 0

Answer:

D) The circle is centred at (-8,3) and has a diameter 20

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the circle

        ( x + 8)² +( y-3)² = 100

   ⇒ ( x + 8)² +( y-3)² = 10²

Standard form of the circle ( x-h)² +(y-k)² = r²

Centre of the circle (h , k) = (-8 , 3)

Radius of the circle  r = 10

Diameter of the circle 'd' = 2r = 2(10) =20

<u><em>Final answer:-</em></u>

The circle is centred at (-8,3) and has a diameter 20

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Step-by-step explanation:

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Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

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4 0
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