Answer and Step-by-step explanation: Scaterplot is a type of graphic which shows the relationship between to variables. In this question, you want to determine if there is a linear relationship between overhead widths of seals and the weights. So, the hypothesis are:
H₀: no linear correlation;
H₁: there is linear correlation;
In this hypothesis test, to reject H₀, the correlation coefficient r of the data set has to be bigger than the critical value from the table.
With α = 0.05 and n = 6, the critical value is 0.811.
The linear correlation is calculated as:
r = n∑xy - ∑x.∑y / √[n∑x² - (∑x)²] [n∑y² - (∑y)²]
r = 
r = 0.9485
Since r is bigger than the critical value, H₀ is rejected, which means there is enough evidence to conclude that there is linear correlation between overhead widths and the weights.
In the attachments is the scaterplot of the measurements, also showing the relationship.
Answer:
Step-by-step explanation:
The expression is
x^2 - 4
This is a quadratic expression.
To find the solution, we will equate the the expression to zero. It becomes
x^2 - 4 = 0
Add 4 to the left hand side of the equation and the right hand side of the equation. It becomes.
x^2 - 4 + 4 = 0 + 4
x^2 = 4
Take square root of the right hand side of the equation and left hand side of the equation. It becomes
√x^2 = √4
x = ± 2
x = 2 or x = - 2
Answer:
y=3x+14
Step-by-step explanation:
Well you already know that the slope is 3
parallel lines always have the same slope.
so then you plug in the point (-6,-4) into y=3x+b
-6 is x and -4 is y
-4=3(-6)+b
-4=-18+b
14=b
so your equation is y=3x+14
<em>Hope this helps :D</em>
Answer:
1/9
Step-by-step explanation:
3+4+2=9
9*2=18
18/2=2/18
2/18=1/9
Answer:
Step-by-step explanation:
Given
Required
Determine the length of AB
Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:
Substitute values for A'B', B'C' and BC
Express the ratio as fractions:
Multiply through by 14
