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Lena [83]
3 years ago
6

Is the work shown below correct? Explain your answer. (11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 –

8i
Mathematics
2 answers:
Annette [7]3 years ago
8 0
<span>the work shown is not correct. When the distributive property was used, the -10i should have changed to +10i, making the sum 8+12i. </span>
Vadim26 [7]3 years ago
5 0

Answer:

Incorrect

Step-by-step explanation:

We are given that

(11+2i)-(3-10i)

We have to find that work shown  in question is correct or not.

(11+2i)-(3-10i)

=11+2i-3+10i  (Using distributive property :a\cdot (b+c)=a\cdot b+a\cdot c)

=(11-3)+(2i+10i)

=8+12i

Hence, the work shown is wrong because in step 2 write -10i instead of 10i.

Answer :Incorrect

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12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th
atroni [7]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

Also we know that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

6 0
3 years ago
The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2
Lana71 [14]

-- Reflecting across the x-axis makes all the x-coordinates the negative of
what they were before the reflection.  The y-coordinates don't change.

-- Translating 2 units up makes all the y-coordinates 2 greater than
they were before the translation.  The x-coordinates don't change.

You didn't give us a list of new coordinates, so there's nothing
to match with.
8 0
3 years ago
Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?
tatuchka [14]

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

8 0
1 year ago
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kaheart [24]
The relationship for this function is linear love
4 0
3 years ago
PLEASE HELP ASAP!!!!!<br><br> Rewrite the expression 20x + 25 as the product of two factors.
GaryK [48]

Answer:

<em>5 (4 x + 5)</em>

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

5 0
3 years ago
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