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AleksandrR [38]
3 years ago
13

7-4i divided by 2+i how to solve it?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0
\cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i
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Find the x and y intercepts of the line. Enter each answer as an ordered pair
Dmitriy789 [7]

Answer:

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2 years ago
2) Working alone, Rob can dig a 10 ft by 10 ft hole in ten hours. Shayna can dig the same hole in seven hours. Find how long it
Free_Kalibri [48]

rob can dig 1/10ft in one hour

Shayna can dig 1/7ft in one our

together they can dig

1/10+1/7

(7+10)/70 in one hour

17/70

in for hours they can dig

17/70×4

68/70

the left work is 2/70

in 60 minutes they can dig 17/70

1/70 work can be done in 60 minutes/17

2/70 work can be done in 60/17×2 minutes

7.088 minutes

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8 0
3 years ago
The number of subscribers to a magazine since the magazine changed its format can be modeled by the linear equation y = 504.2x +
Shalnov [3]

Answer:x= 25

Step-by-step explanation:

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7 0
3 years ago
A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53
oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

  • At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
  • If the probability of a party not showing up is 0.04.
  • Assuming independence.

Let <em>X</em> denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters <em>n</em> = 53 and <em>p</em> = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0
3 years ago
Calculat the length of the circumference of a circle with diameter of 8cm.
mr_godi [17]
Hello there!

The formula for finding the circumference of a circle is 2\pir (or 2*3*r in your terms). Although we don't have the radius yet, we can certainly find it pretty easily. Keep in mind that the radius will always be half the diameter. So, let's find the radius.

8 / 2 = 4; now we have everything we need to solve for the circumference.

2*3*4 is our expression. Now let's simplify it.
2 * 3 = 6
6 * 4  = 24

Your circumference is 24cm.

I hope this helps!
7 0
3 years ago
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