I’m pretty sure It’s cosine
Answer: 95% confidence interval would be (0.555,0.745).
Step-by-step explanation:
Since we have given that
n = 97
x = 63
So, we get that
At 95% confidence interval , z = 1.96
so, Margin of error would be
So, interval would be
Hence, 95% confidence interval would be (0.555,0.745).
Answer:
Step-by-step explanation:
there is no solution
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
= -5√7 -(√2)
Step-by-step explanation:
3√7- √7 -2√7+√8 -5√7-3√2
=3√7- √7 -2√7 -5√7+√8 -3√2 (first we place similar radicands together)
=-5√7+√8 -3√2 ( solve the similar radicands)
=-5√7+√2³ -3 (2^1/2) ( break 8 into powers of 2)
=-5√7+ (2)^3/2 -3 (2^1/2) (solve 2 power with the radical sign)
= -5√7+(2^1/2){ 2-3} ( taking2^1/2 as common)
= -5√7+(2^1/2){ -1} ( solving the co - efficients of 2^1/2)
= -5√7 -1 (2^1/2)
= -5√7 -(√2) {answer}