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aliya0001 [1]
3 years ago
12

Nicole has a machine that will produce a number from through when she pushes a button. If she pushes the button, what is:

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer: 9/50 There  is going to be  18% that the number which will be produced after Nicole will push the button will be ae one digit number

Step-by-step explanation:

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IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ s
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Answer:

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

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 = 116, \sigma = 16

What are the z scores that separate the unusual IQ scores from those that are​ usual?

If Z<-2 or Z > 2, the IQ score is unusual.

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

What are the IQ scores that separate the unusual IQ scores from those that are​ usual?

Those IQ scores are X when Z = -2 and X when Z = 2. So

Z = -2

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

-2 = \frac{X - 116}{16}

X - 116 = -2*16

X = 84

Z = 2

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

2 = \frac{X - 116}{16}

X - 116 = 2*16

X = 148

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

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The height that a ball bounces varies directly with the height from which it is dropped. A certain ball bounces 30 cm when dropp
Akimi4 [234]

The ball will bounce 72 cm high if dropped from a height of 120 cm

<u>Solution:</u>

Given, The height that a ball bounces varies directly with the height from which it is dropped.  

A certain ball bounces 30 cm when dropped from a height of 50 cm.  

We have to find how high will the ball bounce if dropped from a height of 120 cm?

Now, according to given information,

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Then, when dropped from 120 cm ⇒ bounces "n"  cm

Now by Chris cross method, we get,

\begin{array}{l}{n \times 50=30 \times 120} \\\\ {\rightarrow n=\frac{30 \times 120}{50}} \\\\ {\rightarrow n=\frac{3600}{50}} \\\\ {\rightarrow n=72}\end{array}

Hence, the ball bounces 72 cm high.

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