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3 years ago

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 sin B)/(sin B sin C) = (b sin C)/(sin B sin C)

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:

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

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
$\theta=\dfrac{2A}{r^{2}}$

The perimeter of the circular sector is the sum of the arc length and twice the radius.
$P=2r+r\theta\\\\P=r(2+\theta)$

From that, the equation for the central angle is
$\dfrac{P}{r}=2+\theta\\\\ \theta=\dfrac{P}{r}-2$

The value of r can be found by equating these two expressions for θ.
$\dfrac{2A}{r^{2}}=\dfrac{P}{r}-2\\\\2r^{2}-Pr+2A=0\\\\2r^{2}-2.9r+0.5=0$

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 ...
1.25 miles.

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

4 years ago