MATHEMATICS COLLEGE

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Add the complex numbers: (4 + 8i) + (–2 – i)

Answers

Answer 1
Answer:

Answer:

2 + 7i

Step-by-step explanation:

(4 + 8i) + (-2 - i)

open the brackets

4 + 8i - 2 - i

add or subtract like terms

2 + 7i
Answer 2
Answer:

Answer:

2+7i

Step-by-step explanation:

Open the brackets.

4+8i-2-i

You will get…

2+7i

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Use the equation below to calculate the average speed for each problem, then complete the data table below. Problem Distance Time Speed Distance/Time 1. Ron walks 22.5 km in 5 hours, find his speed. 22.5 km 5 hours 22.5km/ 5hr= 4.5 km/hour 2. A train covers 168 km in 4 hours. Find its speed. 3. Rachel travelled 240 km in 4 hours by train and then travelled 120 km in 3 hours by car and 3 km in 1/2 hour by cycle. What is the average speed during the whole journey? 4. A car moves from A to B at a speed of 50 km/hr and comes back from B to A at a speed of 30 km/hr. Find its average speed during the journey.
60 % of 80 ASAP pls bruuh

The solution to a system of equations is any ordered pair that
makes both equations true/false

Answers

the answer to the question is true

Answer: false

Step-by-step explanation:

A) Kenyans went elections and they had to choose between three coalitions; JubileeCord and Amani. They must choose one, if they have no preference, can choose
all the three or, if against one option, they choose for the two they prefer. A
sample of 200 voters revealed the following information
30 chose Jubilee and Amani but not Cord
130 chose Cord only
102 chose Amani only
30 chose Jubilee and Cord
234 chose for either Jubilee or Cord, or both Jubilee and Cord, but not Amani
256 chose for either Cord or Amani, or both Cord and Amani, but not Jubilee
How
many
students chose
i) All the three options
(2 marks
ii) Only one option
(2 marks
iii) Jubilee irrespective of Cord or Amani
(2 marks​

Answers

Answer:

iii is right..................

The critical points of a rational inequality are –1, 3, and 4. Which set of points can be tested to solve the inequality? x = 1 and x = 3.5 x = –1, x = 3, and x = 4 x = –2, x = 2, and x = 5 x = –3, x = 1, x = 3.5, and x = 5

Answers

Answer:

x=-3, x=1, x=3.5, and x=5

Step-by-step explanation:

Given the critical points (turning points) which represent the maximum or the minimum points, the set of points that can be tested to solve the inequality will consist of points to the right and to the left of these points. The set of points that solve the inequality will be simply the points where the graph of the function crosses the x-axis. From these information, the set of points will be as given above

Answer:

x=-3,x=1,x=3.5, and x=5

Step-by-step explanation:

4th one on edg

The perimeter of a rectangle is 80 cm. The width is 10 cm more than twice the length. Whatis the length and width of this rectangle? P=2W+2L

Answers

Answer:

L=10cm , W=30cm

Step-by-step explanation:

First use the given that W=10+2*L

Use P=2W+2L=80, substitute W in the perimeter formula

2(10+2L)+2L=80 and solve for L,

20+4L+2L=80 isolate variable L and combine like terms,

6L=80-20,

L=10, so W=10+2*10=10+20=30

I need help on this question please and thank you that would be great

Answers

Answer:

w independant a dependant

Step-by-step explanation:

According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets returned (BusinessWeek, January 1 5, 2007). A Houston department store sampled 80 items sold in January and found that 12 of the items were returned.Construct a point estimate of the proportion of items returned for the population of sales transactions at the Houston store.

Answers

Using the sample proportion, it is found that the point estimate is of 0.15 = 15%.

What is a sample proportion?

A sample proportion is given by the number of desired outcomes divided by the number of total outcomes. It can also serve as the point estimate for the population proportion.

In this problem, 12 out of the 80 items sold were returned, hence:

12/80 = 0.15 = 15%.

The point estimate is of 0.15 = 15%.

More can be learned about point estimates at brainly.com/question/24651197

Answer:

a) \hat p = (X)/(n)= (12)/(80)= 0.15

b) 0.15 - 1.96 \sqrt{(0.15(1-0.15))/(80)}=0.072  

0.15 + 1.96 \sqrt{(0.15(1-0.15))/(80)}=0.228  

And the 95% confidence interval would be given (0.072;0.228).  

c) For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of items returned is higher than 0.06 or 6% at a significance of 5%.

Step-by-step explanation:

Assumign the following question for the problem:

a. Construct a point estimate of the proportion of items returned for the population of  sales transactions at the Houston store.

For this case the best estimate for the true proportion is given by the sample proportion:

\hat p = (X)/(n)= (12)/(80)= 0.15

b. Construct a 95% confidence interval for the porportion of returns at the Houston store.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval would be given by this formula  

\hat p \pm z_(\alpha/2) \sqrt{(\hat p(1-\hat p))/(n)}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_(\alpha/2)=1.96  

And replacing into the confidence interval formula we got:  

0.15 - 1.96 \sqrt{(0.15(1-0.15))/(80)}=0.072  

0.15 + 1.96 \sqrt{(0.15(1-0.15))/(80)}=0.228  

And the 95% confidence interval would be given (0.072;0.228).  

c. Is the proportion of returns at the Houston store significantly different from the returns  for the nation as a whole? Provide statistical support for your answer.

For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of items returned is higher than 0.06 or 6% at a significance of 5%.
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