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muminat
3 years ago
6

Graph the solution set of x < -8

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

huh

Step-by-step explanation:

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Prove the following identity <br><br><br> sin x(sec x+cscx)= tan x +1
Alexxandr [17]

Answer:

Step-by-step explanation:

<u>________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • <u></u>\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}<u></u>
  • <u></u>\cos x = \frac{1}{\sec x}  \: \:or \: \: \sec x = \frac{1}{\cos x}<u></u>
  • <u></u>\tan x = \frac{\sin x}{\cos x}<u></u>

<u>________________________________________________________</u>

In the question ,

L.H.S. = \sin x (\sec x + cosec \: x)

R.H.S. = \tan x + 1

Lets solve L.H.S. first.

\sin x (\sec x + cosec \: x)

=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )

=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}

=> \tan x + 1

∴ L.H.S. = R.H.S. (Proved)

3 0
3 years ago
A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.
Andre45 [30]

Answer:

a

The 95% confidence interval is 0.2474 < p < 0.3188

b

  The result obtained does not contradict expectation

Step-by-step explanation:

From the question we are told that

   The number of green peas is  k =  438

   The number of yellow peas is u =  173

Generally the sample size is mathematically represented as

       n  =  k + u

=>    n  = 438 + 173

=>    n  = 611

Generally the sample proportion for yellow peas is

      \^ p = \frac{u}{n}

=>   \^ p = \frac{173}{611 }

=>   \^ p = 0.2831

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>  E =  1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} }

=>  E =  0.0357

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>     0.2831  -0.0357

=>     0.2474 < p < 0.3188

From the question we are told that it was expected that 25% of the offspring peas will be yellow

   Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so  it means that the result obtained does not contradict expectation

7 0
2 years ago
Add the two expressions.<br><br> 3x + 7 and 9x−2
aleksklad [387]

Let's add

\\ \tt\hookrightarrow 3x+7+(9x-2)

  • Remove brackets

\\ \tt\hookrightarrow 3x+7+9x-2

Combine like variables

\\ \tt\hookrightarrow 3x+9x+7-2

\\ \tt\hookrightarrow 12x+5

3 0
2 years ago
Read 2 more answers
What was the average yearly increase at the university of Raleigh for those four years ?
g100num [7]

Answer:

hmm chica, tienes que buscar eso en porque no sé la respuesta a

4 0
2 years ago
Identify the 8th term of the geometric sequence in which a3 = 16 and a6 = −128
Dafna1 [17]
I hope you can understand what i wrote

3 0
3 years ago
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