How to find the scale factor of a drawing

1 answer:

6 0

To find scale factor between similar figures , find two corresponding sides and write the ratio of the two sides . if you begin with the smaller figure your scale factor will be less than one . if you begin with a larger figure your scale factor will be larger than one .

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Suppose SAT Writing scores are normally distributed with a mean of 488488 and a standard deviation of 111111. A university plans

makvit [3.9K]

Answer:

The minimum score required for the scholarship is 644.

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 problem, we have that:

$\mu = 488, \sigma = 111$

What is the minimum score required for the scholarship?

Top 8%, which means that the minimum score is the 100-8 = 92th percentile, which is X when Z has a pvalue of 0.92. So it is X when Z = 1.405.

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

$1.405 = \frac{X - 488}{111}$

$X - 488 = 1.405*111$

$X = 644$

The minimum score required for the scholarship is 644.

4 0

4 years ago

Please help me ASAP

o-na [289]

I think its 9,43 units

5 0

3 years ago

Really need help I don't understand

Mrrafil [7]

we know the circumference shown for that picture is π miles, what would it be for the diameter? namely how long is the diameter of that circle whose circumference is π miles?

$\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\ \cline{1-1} C=\pi \end{cases}\implies \pi =\pi d\implies \cfrac{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=d\implies 1=d$