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yulyashka [42]
2 years ago
7

Ronald,a real madrid soccer player, is on a diet and goes onto a shop to buy some ham slices. he is given 3 slices of ham which

together wieghts 1/3of a pound but his diet says that he is only allowed to eat 1/4 a pound. how much of the 3 slices he bought can eat while staying true to his athlete's diet?
Mathematics
1 answer:
AlladinOne [14]2 years ago
5 0
I multiplied the 3 slices by 3 to figure out how many slices are in 1 lb then divided that by 4 to get 1/4 of a lb. So 3x3=9, 9/4=2.25. He could only eat 2 and 1/4 slices of ham :) I hope this helps and is right :)
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4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are
Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • 1000 people means that N = 1000
  • 130 can wiggle their ears, thus k = 130
  • Two are selected, thus n = 2.

The probability that neither can wiggle his or her ears is P(X = 0), thus:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0
2 years ago
How many time does 2 go into 19
BigorU [14]
Hello There @Diamondinthesky123 (Cute Username)

When you state the question, "How many times does 2 go into 19", I assume your talking about Long Division. (Not so long in this case)

In this case, we would divide 19 by 2, resulting in 9 with a remainder of 1. 
Thats It! :)

I hope I helped, Have a great Day!

Thank you,
Darian D. 
4 0
3 years ago
17. Test Practice which represents the number that is ten more than two
AleksAgata [21]

Answer:

2,080

Step-by-step explanation:

Two thousand and seventy is written as 2,070.

Ten more than 2,070 would be 2,080 as you're just adding on 10.

Hope this helps :)

7 0
2 years ago
Solve for X<br><br> 8^3x-10 =4^6x-27<br><br> Thanks in advance!
dlinn [17]

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

6 0
3 years ago
Which of the equations is a line whose slope is 3/4 and y-intercept is 6? 3x - 4y = -6 3x - 4y = 6 3x - 4y = -24
Brut [27]
The answer is
3x-4y=-24

y=mx+b
-4y=-3x-24
y=(3/4)x+(-24/-4)
y=(3/4)x+6

slope m=3/4
y =6
4 0
2 years ago
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