Answer: He'd have to work 15 days.
Step-by-step explanation
With the money in his bank account he'd have to get $173 to be able to pay for the rest of the board. If you were to divide 173 by 12 you'd get 14.4166666667. But you can't have a decimal so you'd round up to get a total of 180. Which is how you get the answer of him needing to work for 15 days.
48=x+y
143= 2x+4y
y= sheep
48-y = x
143=2(48-y)+4y
143= 96-2y+4y
143=96+2y
47=2y
y=19
19 sheep
Answer:
Option C: n = 32; p^ = 0.4
Step-by-step explanation:
The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10
A) For n = 28 and p = 0.3;
np = 28 × 0.3 = 8.4 < 10
Thus, it can't be used.
B) For n = 28 and p = 0.9;
np = 28 × 0.9 = 25.2 > 10 Ok
n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok
Thus, it can't be used
C) For n = 32 and p = 0.4
np = 32 × 0.4 = 12.8 > 10 Ok
n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok
Thus, it can be used
D) For n = 32 and p = 0.2
np = 32 × 0.2 = 6.4 < 10 Not Ok
Thus it can't be used.
Answer:
Tationia Rolon
Step-by-step explanation:
$52.08
The matrix given is
![\left[\begin{array}{ccc}-5&1\\1&4\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%5C%5C1%264%5Cend%7Barray%7D%5Cright%5D%20)
To find determinant
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20)
we do
So, the determinant of the given matrix is
