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Fofino [41]
3 years ago
7

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

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3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10
wariber [46]

Answer:

The expected value of lateness \frac{7}{20} hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

E(X)=\sum x\cdot P(X=x)

Compute the expected value of lateness as follows:

E(X)=\sum x\cdot P(X=x)

         =(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}

Thus, the expected value of lateness \frac{7}{20} hours.

8 0
3 years ago
Let logb A= 3; logb C = 2; logb D=5<br> What is the value of logb D^2/C^3A
Ne4ueva [31]

Answer:

The value of given log function is 1 .

Step-by-step explanation:

Given as :

Logb A = 3

Logb C = 2

Logb D = 5

<u>Now from log property </u>

if , Logb x = c    , then  x = b^{c}

So,

Logb A = 3 , then A =  b^{3}

Logb C = 2 , then C =  b^{2}

Logb D = 5 , then D =  b^{5}

Now, According to question

Logb\frac{D^{2}}{C^{3}A}

So, Logb\frac{(b^{5})^{2}}{(b^{2})^{3}\times b^{3}}

Or, Logb\frac{b^{10}}{b^{6}\times b^{3}}

or, Logb\frac{b^{10}}{b^{9}}

Now, since base same So,

log_{b}b^{10-9}

∴ log_{b}b^{1}

<u>Now log property </u>

log_{b}b = 1

Hence The value of given log function is 1 . answer

5 0
3 years ago
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