Answer:
y hat = 2114.20 + 18.96x
Step-by-step explanation:
Given the least square regression model equation:
y hat = -959.00 + 8.60x
weld diameter x ; shear strength y (in pounds)
1 lb = 0.4536 kg
To express shear strength y in kilogram:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
Step-by-step explanation:
Atmost means less than 45:
Let us assume number is x
x<45(at most)
Atleast means more than 45:
x>45
Answer: Each piece is 1 2/3 inch length.
Step-by-step explanation:
Total length of cookie dough =10-inch
Since it is being into divided into 6 equal-length pieces
We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.
Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = 
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric = 
also; x ≅ geometric (p)
∴ E (x) =
⇒
= 4 ; also
= 2
E (Y) = 4 ×
+ 2 ×
= 2+1
E (Y) = 3
A triangular prism Vol. = area (A) of the triangular base × height (h) of prism
A triangular pyramid V = A × 1/3 h
So since they have same base A and h, the V of the pyramid will be exactly 1/3 the V of the prism