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
In here, we will use the distance formula
Compute the distance between <span>(-5, 3) and (5, 3)
</span>
<span>
= 10
The distance between </span>(-5, 3) and (5, 3) is 10
Answer:
The answer is the last one, -i.
Hope this helped!
Answer:
Tan E = 2 / 7.75
Sin G = 7.75 / 8
Sec G = 4
Step-by-step explanation:
Find the attached document for better illustration of the triangle
Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.
FG = 2 = opposite side of the triangle.
We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.
EG² = FG² + EF²
EF² = EG² - FG²
EF² = 8² - 2²
EF² = 64 - 4
EF² = 60
EF = √(60)
EF = 7.7459 = 7.75
To find the respective trignometric ratio, we can use the relation SOH CAH TOA
Sine = opposite / hypothenus
Cosine = adjacent/ hypothenus
Tangent = opposite/ adjacent
A. tan E
Tan E = opposite/ adjacent
Tan E = 2 / 7.75
Tan E = 0.2580
B. Sin G = opposite / hypothenus
Sin G = 7.75 / 8
Sin G = 0.9687
C. Sec G = 1 / cos G
Cos G = adjacent / hypothenus
Sec G = 1 / (adjacent / hypothenus)
Sec G = hypothenus/ adjacent
Sec G = 8 / 2
Sec G = 4
that is what the line will look like.
