Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
We are given with the data of 490 milligrams of sodium content of burrito and 700 milligrams of sodium content of peanut butter sandwich. The total sodium consumption should be less than 4000 milligrams. We are told to represent he number of microwave burritos as x and the number of peanut butter sandwiches as y. The inequality equation thus is 490 x + 700 y ≤ 4000.
A=pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
A≈353.25 ft^2
<span>a.
</span>Do you
have sufficient funds to estimate the population mean for the attribute of
interest with a 95% confidence interval 4 units width? Assume that sd= 12
n= {[(Zalpha/2)^2]*[sd]^2}/
se^2
n=
(1.96)^2*(12)^2/ (2)^2
n=
138.297 rounded up to 139
<span>There
is not enough funds for this one
since you’ll need 139 pieces and it costs 10 a piece, you’ll need 1390.</span>
b.
90% confidence interval
n= {[(Zalpha/2)^2]*[sd]^2}/
se^2
n=
(1.645)^2*(12)^2/ (2)^2
n=98
There is enough
funds since 98 pieces for 10 a piece is equal to 980.
Rudy answered 2 more questions correctly
...........
46x2=92
44x2=88
...........
92-88=4
