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labwork [276]
3 years ago
7

Pls just answer if you know, don't guess or spam. Thanks

Mathematics
1 answer:
Andreyy893 years ago
4 0

Answer:

Step-by-step explanation:

If you work through it as if you were doing polynomial long division you just have to work through the first step and then compare it to the answer.  In polynomial long division you always divide the leading term of the dividend and divide it by the leading term of the divisor.  In this case 24x^2 /ax = -8x.  So this is a pretty simple calculation to find what a is.  the xs cancel out so you get 24x/a = -8x and from here you can divide both sides by x, multiply both sides by a and then divide both sides by -8.

24x/a = -8

24/a = -8

24 = -8a

-3 = a

Now just follow through with the whole long division to make sure, but using this method should get you the right answer.  

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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
What is the value of x ?
Lostsunrise [7]

Vertical angles are congruent (equal), and the angles below are vertical angles.

x + 40 = 3x

40 = 3x - x

2x = 40

<u><em>x = 20</em></u>


3 0
3 years ago
Xy=10<br> 4x+2y=30 <br> I need help asap
emmasim [6.3K]

Answer:

x = 25/3; y = -5/3

Step-by-step explanation:

You did well so far by multiplying both sides of the first equation by 2.

Now notice that you have -2y in the new first equation and 2y in the second equation. -2y and 2y add to 0.

Now add the equations to eliminate y.

      2x - 2y = 20

(+)   4x + 2y = 30

-------------------------

      6x         = 50

6x/6 = 50/6

x = 50/6 = 25/3

2x - 2y = 20

2(25/3) - 2y = 20

50/3 - 2y = 60/3

-2y = 60/3 - 50/3

-2y = 10/3

-2y/2 = (10/3)/(-2)

y = -5/3

Solution: x = 25/3; y = -5/3

4 0
2 years ago
I really need help with some classwork so i can bring my grade up.​
Ksenya-84 [330]

Answer: Finding the area for a right triangle is really simple so I will just show you how too.

Step-by-step explanation:

I was taught that it was H × B ÷2  (make sure to use this formula on right triangles)

B=base

H=height

Its really similar to finding area of a rectangle but you just divide your answer by 2 at the end!

I hope that helps a bit.

(if you worried that you didn't do it correct I got 336 for number 1)

7 0
3 years ago
Tyler's brother works in a shoe store.
a_sh-v [17]
I think hell make 15 dollars an hour
8 0
2 years ago
Read 2 more answers
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