A and B for sure, Im unsure about D but if you’re solving an expression using a formula you would usually end up with another expression as your sum. I hope this is somewhat helpful
Answer:
D) 56 inches to 74 inches
Step-by-step explanation:
By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.
Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches
Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches
Answer:
Points ABC and points OBC form two separate triangles. Triangle ABC is made up of angles BAC, ABC, ACB, while triangle OBC is made up of angles BOC, OBC, OCB. Since interior angles of triangles add up to 180 degrees, m<BAC + m<ABC + m<ACB = 180 and m<BOC + m<OBC + m<OCB = 180. 180 is equal to 180, so m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB.
Since OB bisects <ABC and OC bisects <ACB, m<ABO = m<OBC and m<ACO = m<OCB. We can also say that m<ABC = 2m<ABO and m<ACB = 2m<ACO. Substitute and simplify the equation.
m<BAC + m<ABC + m<ACB = m<BOC + m<OBC + m<OCB
m<BAC + 2m<ABO + 2m<ACO = m<BOC + m<ABO + m<ACO
m<ABO + m<ACO = m<BOC - m<BAC
Answer:
commutative property:
A + B = B + A
So we have
3 + (5 + 7) = (5 + 7) + 3
Now distributive means that:
A + (B + C) = (A + B) + C
So (5 + 7) + 3 = 5 + (7 + 3)
now the equation is easier to solve, because 7 + 3 = 10
5 + (7 + 3) = 5 + 10 = 15
The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
<h3>What is the scale factor?</h3>
In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.
Given that:-
- The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)
The length and width of the outside edge will be:-
The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-
Length = 3 ( 2x+4 ) = 6x + 12
Width = 3 ( 3x+2 ) = 9x + 6
Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.
To know more bout scale factors follow
brainly.com/question/25722260
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