Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
Answer:
There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
Step-by-step explanation:
The correlation coefficient between the variables h(height in inches) and pulse rates (in beats per minute) is 0.202
Sample size n=40
Level of significane alpha = 0.01
Create null and alternate hypothesis as:
H0: r=0
Ha: r not equal 0
(Two tailed test at 1% significance level)
Sample r = 0.202
r difference = 0.202
test statistic t = 
df =n-2 =38
t critical value for 0.01 and df =38 is 2.704
Since our test statistic lies below 2.704, we accept null hypothesis
There is not sufficient evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
A. volume of the stage in the banquet hall = 22 x 15 x 4 = 1,320 cubic foot.
weight of the stage in the banquet hall:
1 cubic foot weighs 62.4 pounds
1,320 cubic feet will weigh 1,320 x 62.4 = 82,368 pounds.
b. volume of each cylindrical pillar = pi * r^2 * h = pi * (1/2)^2 * 9 = pi * 1/4 * 9 = 7.069 cubic feet
weight of each cylindrical pillar:
1 cubic foot weighs 62.4 pounds
7.069 cubic feet will weigh 7.069 x 62.4 = 441 cubic feet.
Answer:
Use, y = 3x-3, it might be easier to graph
Step-by-step explanation:
You can convert this equation into slope-intercept for to gramph.
y = (x – 3)2 + 3
y = 3x-6+3
y = 3x-3