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Elenna [48]
2 years ago
10

Simplify the expression to a + bi form: (-6 - 9i)(-11 + 7i)

Mathematics
2 answers:
jek_recluse [69]2 years ago
4 0

Answer:

129+57i

Step-by-step explanation:

kumpel [21]2 years ago
3 0

( - 6 - 9i)( - 11 + 7i) \\  = 66 - 42i + 99i - 63 {i}^{2}  \\  = 66 + 57i + 63 \\  = 129 + 57i

I hope I helped you^_^

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Write the slope intercept form of the equation. <br> Y=Mx+b<br><br> PLEASE SHOW WORK
Debora [2.8K]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

We need to write this in the form y = mx + b.

x + 3y = -12

3y = -x - 12

y = \frac{1}{3}x - 4

8 0
3 years ago
What the value of r that makes the value true? r+(-0.14)=0.47
Anika [276]

Answer:

0.61

Step-by-step explanation:

Add 0.14 to both sides of this equation, obtaining r = 0.61.


4 0
3 years ago
To win a trivia game, Nathan must score at least 75 points. Each correct answer is worth 2 1/2 points , and each incorrect answe
Dmitrij [34]

Answer:

He scored 79\frac{1}{2} points.

Step-by-step explanation:

Given:

Number of points for a correct answer = 2\frac{1}{2}

Number of points scored for an incorrect answer = -\frac{1}{4}

Therefore, for 35 correct answers, points scored = 35\times 2\frac{1}{2}=35\times \frac{5}{2}=\frac{175}{2}

Now, for 32 incorrect answers, points scored = 32\times -\frac{1}{4}=-\frac{32}{4}=-8

Therefore, net number of points scored by Nathan is:

\frac{175}{2}-8=\frac{175}{2}-\frac{16}{2}=\frac{175-16}{2}=\frac{159}{2}=79\frac{1}{2}

Therefore, Nathan scored 79\frac{1}{2} points.

3 0
3 years ago
Two​ shooters, Rodney and​ Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are mark
Sedaia [141]

Complete Question

Answer:

a

  SE  = 0.66}

b

-3.29 <  \mu_1 - \mu_2 <  -0.70  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 60

   The first sample mean is  \= x _1  =  8

    The second sample mean is   \= x _2  =  10

    The first variance is  v_1 =  0.25

    The first variance is  v_2 =  0.55

Given that  the confidence level is 95% then the level of significance is 5% =  0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the first standard deviation is  

     \sigma_1 =  \sqrt{v_1}

=>   \sigma_1 =  \sqrt{0.25}

=>   \sigma_1 =  0.5

Generally the second standard deviation is

     \sigma_2 =  \sqrt{v_2}

=>   \sigma_2 =  \sqrt{0.55}

=>   \sigma_2 =  0.742    

Generally the first standard error is

     SE_1  =  \frac{\sigma_1}{\sqrt{n} }

      SE_1  =  \frac{0.5}{\sqrt{60} }

     SE_1  =  0.06

Generally the second standard error is

     SE_2  =  \frac{\sigma_2}{\sqrt{n} }

      SE_2  =  \frac{0.742}{\sqrt{60} }

     SE_2  =  0.09

Generally the standard error of the difference between their mean scores is mathematically represented as    

      SE  =  \sqrt{SE_1^2 + SE_2^2 }

=>     SE  =  \sqrt{0.06^2 +0.09^2 }

=>     SE  = 0.66}

Generally 95% confidence interval is mathematically represented as  

      (\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } *  SE) <  \mu_1 - \mu_2 <  (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } *  SE)

=> (8 -10) -(1.96 *  0.66) <  \mu_1 - \mu_2 <  (8-10) +(Z_{\frac{\alpha }{2} } *  0.66)  

=>  -3.29 <  \mu_1 - \mu_2 <  -0.70  

 

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3 years ago
Find the Value of X. Thanks for helping
ser-zykov [4K]

Answer:

uhm  i don't understand

Step-by-step explanation:

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