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:
3239.95
Step-by-step explanation:
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)
Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108
The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>
The exponent symbol when typing is ^. so I so rewrite this for you.
(15x^8 / 24y^5) / (4x^4 / 8y^2)
I assumed you meant 8y squared because you said 8 squared.
now when we divide by a fraction, we can actually multiply by it's reciprocal and get the same thing. The word reciprocal really just means flip it over. so:
(15x^8 / 24y^5) * (8y^2 / 4x^4)
let's reduce the coefficients ( the numbers in front of the x and y) to make it easier.
We have 15/24 which can be reduced to 5/8
and 8/4 which is 2/1
so:
(5x^8 / 8y^5) * (2y^2 / x^4)
multiply numerator and denominator
(10x^8y^2) / (8x^4y^5)
now reduce coeffient. 10/8 is 5/4
reduce x: x^8/x^4 is x^4
reduce y: y^2/y^5 is 1/y^3
now put together
5x^4 / 4y^3
so C
The smaller triangle is scaled by a factor of (18 cm)/(54 cm) = 1/3 of the larger triangle. The ratio of areas is the square of that scale factor.
small triangle area = (1/3)^2 × large triangle area
... = (1/9) × 603 cm^2
... = 67 cm^2
The appropriate choice is
... C. 67 cm^2
