325/15=800/x. Cross multiply 325x and 15(800)=12000/325.
36.92 gallons of gas for 800 miles
Answer:
4. A
5. B
Step-by-step explanation:
4. I'll solve question four first:
The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.
5--3/2--2 or 8/4;simplified to 2/1 or 2.
Now use point-slope form: y-y1 = m(x-x1)
y--3 = 2(x--2): Substitute in the values of y1, m, and x1.
y+3 = 2x + 4: Distribute.
y = 2x + 1: Subtract three from both sides.
5. Do the same for question 5.
The first point is (-4, 2), the second point is (4, -1).
-1-2/4--4; -3/8.
Now use point-slope form:
y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.
y = -3/8x + 1/2
Answer:
Step-by-step explanation:
Let us assume a normal distribution
The formula for normal distribution is
z = (x - u)/s
Where
u = mean = np
s = standard deviation = √npq
x = number of blocks that meet the specification
n = number of blocks sampled
From the information given,
p = 0.85 = probability that the block will meet the strength specification.
q = 1 - p = 1 - 0.85 = 0.15 = probability that the block will not meet the strength specification.
n = 2000
u = np = 2000 × 0.85 = 1700
s = √npq = √1700×0.15 = 15.97
We want to find the P(x lesser than 1690). It becomes
z = (1690 - 1700)/15.97
z = -10/15.9 = -0.63
Looking at the normal distribution table for the corresponding z score, it is 0.2644
Therefore
P(x lesser than 1690) = 0.2644
I think line k I'm not sure
7 because the square root of 49 is 7, so its approximately 7.
