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
6x + 3y = 79.5
3x + 2y = 41 y = -3/2x + 41/2 y = -1.5x + 20.5
6x + 3(-1.5x + 20.5) = 79.5
6x - 4.5x + 61.5 = 79.5
1.5x + 61.5 = 79.5
1.5x = 18
x = 12
Each shirt costs $12.
Now insert that number into the x to find the cost of each tie.
3(12) + 2y = 41
36 + 2y = 41
2y = 5
y = 2.5
Each tie costs $2.50.
Answer:
I remember a cartoon a dog training sheep's and 3 idiot pigs
it looks like that
We know that
in the right triangle DEF
tan F=opposite side angle F/adjacent side angle F
where
angle F=37°
opposite side angle F=DE
adjacent side angle F=FE-----> 3 units
so
tan F=DE/FE--------> DE=FE*tan F------> DE=3*tan 37-----> DE=2.26----> 2.3 units
the answer is
DE is 2.3 units