Answer: Part A is 2 and 6 Part B is 2
Step-by-step explanation:
Part A: Here is the explanation. So, you started at with the expression 3x^2+8x+4 and when you're are factoring, you have 3x^2+px+pq+4. You can substitute the p and q for 6 and 2. What they did is they replaced 8x with px+qx. To get 8x, p needs to be 6 and q needs to be 2, or the other way around. TIP: The numbers just have to add up to 8 on this one. It doesn't have to be 6 and 2.
Part B: Here is what I got so far... 3x(x+r) is 3x^2+3xr. Also, s(x+r) is sx+sr. The equation becomes, 3x^2+3xr+sx+sr. R can be 2 and s can be 2. Here is my reasoning: The original expression was 3x^2+8x+4. We already have the 3x^2, so now we need to find what the others are by determining what r and s equal. R and s can both be 2 to make four. 2x2 is 4. Let's see if it can make 8. 3xr becomes 6x and sx becomes 2x. 6x+2x is 8x.
Answer:
An appliance manufacturer gives a warranty, and 95 percent of its appliances do not require repair before the warranty expires. An organization buys 10 of these appliances. Calculate an interval that contains 95.44 percent of all the appliances that will not require repair.
A. [8.12, 10.88]
B. [7.43, 11.57]
C. [8.81, 10.19]
D. [8.55, 10.45]
Step-by-step explanation:
We can calculate the confidence interval for a proportion p = 0.95 and a sample size n = 10.
Note that the critical value for 95.44% confidence is 1.9991. Z-score table.
Between 81.22% and 108.78% of 10 units is 8.12 and 10.88 units. Therefore the confidence interval is: (8.12, 10.88).
Answer: [ 8.12 , 10.88 ]
The answer is: [D]: 0.211 .
____________________________________________________________
Explanation:
________________________
Given: 2(7)^(3x+1) = 48<span>; Solve for "x" (using "ln");
______________________________________________
First, divide EACH side of the equation by: "2" ;
____________________________________________
</span>→ [<span>2(7)^(3x+1)] / 2 = 48 / 2 ;
_____________________________________
to get: </span> → 7^(3x+1) = 24 ;
____________________________
→ Now, take the "ln" of EACH side of the equation:
____________________________________________
→ ln [7^(3x+1)] = ln 24 ;
→ (3x+1) ln 7 = ln 24 ;
→ Divide EACH side of the equation by "ln 7" ;
→ [(3x+1) (ln 7)] / ln 7 = (ln 24 / ln 7) ;
→ 3x + 1 = (ln 24 /ln 7)
_____________________________
(Using calculator, "(ln 24 / ln 7)" equals: "1.63319659538");
___________________________________________
→ 3x + 1 = 1.63319659538 ;
→ Subtract "1" from EACH side of the equation;
→ 3x + 1 − 1 = 1.63319659538 − 1 ;
→ 3x = 0.63319659538 ;
→ Now, divide EACH side of the equation by "3"; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________________
→ 3x / 3 = 0.63319659538 / 3 ; (using calculator);
____________________________
to get:
____________________________________________
→ x = 0.2110655317933333 ; which is:
Answer choice: [D]: 0.211 (rounded).
Answer:
90 Pounds =
40,823.313 Grams
Step-by-step explanation:
