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Alex73 [517]
3 years ago
8

Simplify the expression and write the result in standard form, a+bi. 6 - 8i / -2

Mathematics
1 answer:
gregori [183]3 years ago
4 0

Answer:

\frac{6 - 8i}{ - 2}  =  \frac{6}{ - 2}  -  \frac{8i}{ - 2} (splitting \: denomenator) \\ =  -  3 -  - 4i \\ =   - 3 + 4i \\  thank \: you

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At a greengrocer, two bananas and one apple cost ?1.16 and one banana and one apple cost ?0.71. How much does one apple cost?
Blababa [14]

Answer

Find out the how much does one apple cost .

To prove

Let us assume that the number of bananas be x .

Let us assume that the number of apples be y .

As given

At a greengrocer, two bananas and one apple cost $1.16 .

Than the equation becomes

2x + y = 1.16

one banana and one apple cost $0.71.

Than the equation becomes

x + y = 0.71

Subtracting x + y = 0.71 from 2x + y = 1.16

2x - x + y - y = 1.16 - 0.71

x = 0.45

Put in the equation x + y = 0.71

0.45 + y = 0.71

y = 0.71 - 0.45

y = $0.26

Therefore the cost of the one apple is  $0.26 .


4 0
3 years ago
A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of
katen-ka-za [31]

Answer:

Larger sample size gives less std error and hence test statistic is larger.

Step-by-step explanation:

Given that a newspaper  is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate

Group        I   II

Success    640 64

Total   1200 120

p 0.533333333 0.533333333

q 0.466666667 0.466666667

se 0.014401646 0.045542003

p diff 0.033333333 0.033333333

Z 2.314550249 0.731925055

p      0.01           0.233

we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger.  So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis

3 0
2 years ago
The ratio of the measures of the sides of a triangle is 8: 15: 17, and its perimeter is 480 in.. Find the measure of the shortes
lubasha [3.4K]

Answer:

96

Step-by-step explanation:

The ratio of the measure of sides of a triangle are 8:15:17

The perimeter is 480

8x + 15x + 17x= 480

40x= 480

x = 480/40

x = 12

Therefore the measure of the shortest side of the triangle can be calculated as follows

8x

8×12

= 96

6 0
3 years ago
Help please I dont understand this math problem
Nostrana [21]

Answer:

24

Step-by-step explanation:

4*3*2=24 there your answers I hope this helps

8 0
3 years ago
Read 2 more answers
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days?
mylen [45]
18/2=x/30
2x = 18 x 30
2x = 540
x = 270
5 0
3 years ago
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