The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.
EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.
5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x
4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y
10(4x + 5)= (10*4x) + (10*5)= 40x + 50
ANSWER:
Only one pair below is needed for your answer.
5(2 + 3x)= 7 + 15x
4(2x + 4y)= 8x + 16y
10(4x + 5)= 40x + 50
Hope this helps! :)
Answer:
Step-by-step explanation:
Given that a statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years.
Mean = 78 and std dev =10
Next time, sample size n was reduced to 25
For smaller sample size the mean was found to be = 83
The teacher wanted to know if teaching a smaller class was more effective and students performed better
ie comparison of two means of two samples should be done with different sample sizes but same teacher.
Hence hypothesis should be:
where x denotes the I sample and Y the second with 25 students.
Answer:
A = 108 in.²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
✔️Area of rectangle 1 = L*W
L = 8 in.
W = 6 in.
Area = 8*6 = 48 in.²
✔️Area of rectangle 2 = L*W
L = 10 in.
W = 4 in.
Area = 10*4 = 40 in.²
✔️Area of rectangle 3 = L*W
L = 5 in.
W = 4 in.
Area = 5*4 = 20 in.
✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²
Answer:
very fast
Step-by-step explanation:
10.2 miles per minute :)
