Answer:
Line 1 to Line 2: Distributive Property
Line 2 to Line 3: Commutative Property of Multiplication
Line 3 to Line 4: Associative Property of Multiplication
Step-by-step explanation:
Answer:
3 1/5 ft
Step-by-step explanation:
We can set up a proportion:
, where x is how long the pants are in real life
Cross multiply:
x = (2 2/7) * (1 2/5)
It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:
2 2/7 = 16/7
1 2/5 = 7/5
Now, put these back in:
x = (16/7) * (7/5) = 16/5 = 3 1/5
Thus, in real life, the pants would be 3 1/5 ft long.
Hope this helps!
Answer:

Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is
where we substitute a point (x,y) for
.
We have m=-3/4 and (-8, 7). We input m and
.

We now simplify the parenthesis and solve for y.

We convert 8 into a fraction with 1 as the denoinator.

We add 7 to both sides to isolate y,

This is slope intercept form. The line as slope -3/4 and y-intercept (0,1) or b=1.
Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z =
~ N(0,1) where,
= 75 and
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P(
<
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P(
<
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
1) slope= -5/2 Y-intercept= -1
2) slope= 3/2 Y-intercept= 3
3) slope= -7/3 Y-intercept= 4
4) slope= -4/9 Y-intercept= -3
5) slope= -2/1 Y-intercept= 2
6) slope= 1/2 y-intercept= -1
7) slope= 5/2 Y-intercept= -4
8) slope= -1/3 Y-intercept= 1
9) slope= 1/2 Yintercept= 4
10) slope= -2/3 y-intercept= -2