Answer:
d. -2/3x+5
Step-by-step explanation:
Because the line is perpendicular, the slope must be the inverse of the original slope. The inverse of 3/2 is -2/3. To find the b value, you plug (6,1) into the equation y=-2/3x+b
1=-2/3(6)+b
1=-4+b
5=b
The final equation is y=-2/3x+5
2.5 pounds of grain cost ======= $1.75
∴ 5.3 pounds of grain will cost ===== (5.3×1.75)/2.5 = $3.71
Answer:
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Step-by-step explanation:
Total yards of fabrics = 6 yards
you need to cut it in two pieces where one is two feet longer than the other.
First piece= x feet
Second piece= x+2 feet
Convert 6 yards to feet
6 yards = 18 feet
First piece + second piece = total piece of fabrics
x + (x+2) = 18
x + x + 2 = 18
2x + 2 = 18
2x = 18 - 2
2x = 16
Divide both sides by 2
x = 16 / 2
x = 8 feet
8 feet = 2.66667 yards
x + 2
= 8 + 2
= 10 feet
10 feet = 3.33333 yards
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Answer:
The probability is 0.9909.
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ (sd/√n)
sample mean = 290 days
population mean = 298 days
sd = 22 days
n = 42
z = (290 - 298) ÷ (22/√42) = -8 ÷ 3.395 = -2.36
The cumulative area of the test statistic is the probability that the mean gestation period is less than 290 days. The cumulative area is 0.9909. Therefore the probability is 0.9909.
