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Mathematics

2 answers:

vova2212 [387]3 years ago

8 0

5 x 5/2 = 25/2

answer
25/2 units

ikadub [295]3 years ago

7 0

Answer:

Given the length of AB = 5 units, scale factor(c) = $\frac{5}{2}$

When we dilate a line segment, the original line segment will always be parallel to the image.

Also, if the length of the original line segment is L and the scale factor is c, the length of the image will be after dilation is, cL

length of image(A'B') = $scale factor \times length of original length (AB)$

A'B = $\frac{5}{2} \times 5 = \frac{25}{2}$

Therefore, the length of the image of AB is, $\frac{25}{2}$ units.

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Express the given quantity as a single logarithm. ln x + a ln y − b ln z

professor190 [17]

The rules of logarithms tell you ...
• $\ln(a)+\ln(b)=\ln(a \cdot b)$
• $a \cdot \ln(b)=\ln(b^{a})$

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6 0

3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de

suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 5.72, \sigma = 0.07$