Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) 
Given.
2) 
Definition of addition.
3) 
Distributive property.
4) 
Definitions of multiplication and decimal number.
5) ![x = 72 +[2\cdot (10)^{-1}]\cdot 12](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%5B2%5Ccdot%20%2810%29%5E%7B-1%7D%5D%5Ccdot%2012)
Definition of division/Associative property.
6) ![x = 72 + [2\cdot 12]\cdot (10)^{-1}](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%20%5B2%5Ccdot%2012%5D%5Ccdot%20%2810%29%5E%7B-1%7D)
Associative property.
7) 
Definition of multiplication.
8) 
Definition of divsion.
9) 
Defintion of decimal number.
10) 
Definition of addition/Result
Natalia's work is wrong.
Alex can buy at most 4 pounds of tomatoes
Let:
a represent pounds of tomatoes to buy
3a represent pounds of black beans to buy
Total cost of each ingredient that can be bought = number of pounds x price per pound
Tomatoes = a x $1.60 = 1.60a
Black beans = 3a x $1.70 = 5.1a
1.60a + 5.1a = 26.80
Add similar terms
6.7a = 26.80
Divide both sides of the equation by 6.7
a = 4 pounds
A similar question was solved here: brainly.com/question/848628?referrer=searchResults
Answer:
The ratios are equivalent.
Step-by-step explanation:
If you multiply both 5 and 6, the ratio stays the same.
5:6 = 10:12 = 15:18 = 20:24 etc.
You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.
24/20 = 1.2
15/18 = 1.2
10/12 = 1.2
6/5 = 1.2
Answer:
the correct anser is 0.0000563
Step-by-step explanation:
you move the decimal point to the left 5 spaces because it is negative
Answer:
0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Step-by-step explanation:
The random variable X is normally distributed with a mean of 21 and standard deviation of 7
;
X ~ N(μ = 21 ; σ = 7)
X ~ N(21, 7)
Probability that a trial lasted atleast 24 days :
P(X ≥ 24) :
The standardized score :
Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286
Hence,
P(Z ≥ 0.4286) = 0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
