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vitfil [10]
3 years ago
15

What is the missing statement in step 10 of the proof?

Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

c/sin C = b/sin C

Step-by-step explanation:

Look at the statement in the previous step and the reason in this step.

c sin B = b sin C

Divide both sides by sin B sin C:

(c <em>sin B</em>)/(<em>sin B</em> sin C) = (b <em>sin C</em>)/(sin B <em>sin C</em>)

c/sin C = b/sin B

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The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the
posledela
C=  \left[\begin{array}{cc}1&-2\\-3&7\end{array}\right]  \\ C^{-1}= \left[\begin{array}{cc}7&2\\3&1\end{array}\right]  \\ \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \times   \left[\begin{array}{ccccc}7&-28&-25&-35&-2\\-21&107&90&123&17\end{array}\right]  \\ =\left[\begin{array}{ccccc}49-42&-196+214&-175+180&-245+246&-14+34\\21-21&-84+107&-75+90&-105+123&-6+17\end{array}\right] \\ =\left[\begin{array}{ccccc}7&18&5&1&20\\0&23&15&18&11\end{array}\right]
is the required matrix.
6 0
3 years ago
Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet
valentina_108 [34]
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
z= \frac{190-222}{16}=-2

For x = 230
z= \frac{230-222}{16}=0.5

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 

5 0
3 years ago
In 1994, the General Social Survey had a question that asked its participants (that currently smoked) if they had ever tried to
Roman55 [17]

Answer:

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Step-by-step explanation:

We are given the following in the question:

Sample size, n = 142

Participants that tried quitting smoking = 117

Parameter:

  • A parameter is a numerical value that describes a population.

Population proportion can be calculated as:

p = \dfrac{x}{n} \\\\p= \dfrac{117}{142} \\\\p= 0.8239

0.8239 is the population proportion of participants that tried quitting smoking.

7 0
3 years ago
Matilda is planning a walk around the perimeter of wedge park, which is shaped like a circular wedge, as shown below. the walk a
alukav5142 [94]
The area of the circular sector is
A=\frac{1}{2}r^{2}\theta

From that, the equation for the central angle is
\theta=\dfrac{2A}{r^{2}}

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The value of r can be found by equating these two expressions for θ.
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By any of several means, you can find that r=0.2 or 1.25. The latter value corresponds to the requirement that the central angle be less than 90°. The radius is ...
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8 0
3 years ago
ILL MARK BRAINLIST !!!! * have to get it right *What is the slope of the line?
nevsk [136]

Answer:

1/5

Step-by-step explanation:

the line is going up which means it's positive

7 0
3 years ago
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