Tito solved this equation. Which properties did he use?
2 answers:
Answer:
1. Distributive property
2. Addition property of equality
3. Multiplication property of equality.
Step-by-step explanation:
We are given the following information in the question.
An equation is solved using various properties. We have to tell the properties used.
The solving of the equation is done in the following manner:
Thus, the following properties were used:
1. Distributive property
2. Addition property of equality
3. Multiplication property of equality.
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Answer:
The probability he throws it between 50 feet and 60 feet is 0.48
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The mean is 50 feet
- The standard deviation 5 feet
- We need to find the probability of his throws between 50 feet and
60 feet
∵ z = (x - μ)/σ
∵ x = 50 and 60
∵ μ = 50
∵ σ = 5
- Substitute these values in the rule above
∴ z =
∴ z = 0
∴ z =
∴ z = 2
- Lets use the normal distribution table of z to find the corresponding
area to z score
∵ P(z > 0) = 0.5
∵ P(z < 2) = 0.97725
- Subtract the two areas
∴ P(0 < z < 2) = 0.97725 - 0.5 = 0.47725
∵ P(50 < x < 60) = P(0 < z < 2)
∴ P(50 < x < 60) = 0.47725
∴ P(50 < x < 60) ≅ 0.48
<em>The probability he throws it between 50 feet and 60 feet is 0.48</em>
Answer:
28 ft²
Step-by-step explanation:
Hello There!
To solve for the area of an irregular shape we want to split the irregular shape into regular shapes
For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)
now we can easily solve for the area of each individual shape
area of square -
the area of a square can simply be found by raising the side length to the power of 2
so
so we can conclude that the area of the square is 4ft^2
Now we want to find the area of the rectangle
the area of a rectangle is simply equal to the width times the length
so
so we can conclude that the area of the rectangle is 24ft^2
Finally we add the two areas together
24 + 4 = 28
thus meaning the area of the irregular figure is 28 ft²