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MrMuchimi
3 years ago
12

Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r

ate, shown by the expression: 8m + 17.2. What is the Infant Mortality Rate of Korea?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

The infant mortality rate in Korea based on equality provided is:

  • 1.8

Step-by-step explanation:

Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:

  • 7 (m + 3) - 2 = 8m + 17.2
  • 7m + 21 - 2 = 8m + 17.2
  • 7m + 19 = 8m + 17.2
  • 19 - 17.2 = 8m - 7m
  • 1.8 = m

As you can see, once the equality of the expressions is solved, <u>a rate of 1.8</u> is obtained.

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

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

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

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

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20441%20%3D%20" id="TexFormula1" title="3 \div 441 = " alt="3 \div 441 = " align="a
laila [671]
This is the decimal answer 0.00680272108
3 0
3 years ago
What is 8 meters increased by 20%
NeX [460]
8 increased by 20% is 9.6 i hope this helps :)
8 0
3 years ago
Sam saw 2 bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup and the other contained 1.
Ilia_Sergeevich [38]
I do believe that it's the bottle with the 4 pints of ketchup. 4 pints is 2 quarts 
3 0
3 years ago
Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.
SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1)  x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1  we get 7 combinations, at x =2  we get 6 combinations, at x=3 we get 5 combinations and at x =4  we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0
2 years ago
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