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Triss [41]
3 years ago
7

Simplify -11j+16-22j-27+5j

Mathematics
2 answers:
myrzilka [38]3 years ago
8 0

Combine like terms

Your answer will be -28j - 11

lys-0071 [83]3 years ago
5 0

16 23
—— - ——
5 15
Step 2 :

16

16 23
—— - ——
5 15
:
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One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each pe
sertanlavr [38]

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                                 P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of people who disagree with the statement = \frac{1812}{2625} = 0.69

           n = sample of respondents = 2625

           p = population proportion of people who disagree with statement

<em>Here for constructing 99% confidence interval we have used One-sample z proportion statistics.</em>

<u>So, 99% confidence interval for the population proportion, p is ;</u>

P(-2.58 < N(0,1) < 2.58) = 0.99  {As the critical value of z at 0.5% level

                                                   of significance are -2.58 & 2.58}  

P(-2.58 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.58) = 0.99

P( -2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [ \hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ]

= [ 0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } } , 0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } } ]

 = [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

5 0
4 years ago
Can anyone help me plzz ?? Lakita has 66 water bottles for the 5K race participants. In addition, she is planning to buy boxes o
asambeis [7]

Answer: she will buy 60 but if she add up all the water bottles togeather it will be 126 but the answer is 60


Step-by-step explanation: so first you have to make 5 boxes on a pice of paper and put 12 lines in each box and you count all the lines in the boxes togeather and they will equal 60 water bottles so the answer is 60


3 0
3 years ago
Which polynomial is prime​
Vikentia [17]

We need more information. You don't give us enough information....? Provide an image please. Or at least name the polynomials...

7 0
4 years ago
6(x+7)x=9<br><br> A.12<br> B.42<br> C.96<br> D.16<br><br> Please work out the problem.
marin [14]
X = -\frac{7}{2} + \frac{1}{2}  \sqrt{55} or x = -\frac{7}{2} + -\frac{1}{2} \sqrt{55}
4 0
3 years ago
The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can b
viktelen [127]

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

3 0
3 years ago
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