Answer:
(-1, 3), (-5, -5), and (1, 2)
Step-by-step explanation:
To make this easier to solve, simplify the inequality:
12x - 3y < 12
= -3y < -12x + 12 (subtract 12x)
= 3y > 12x - 12 (multiply by -1, switch the inequality because it was a multiplication by a negative number)
= y > 4x - 4 (divide by 3)
Now, just go through each point and see if they are correct after you plug them into the inequality and solve:
(-1, 3): 3 > -8? yes
(-5, -5): -5 > -24? yes
(0, -4): -4 > -4? no
(1, 2): 2 > 0? yes
(4, 4): 4 > 12? no
(3, 8): 8 > 8? no
In conclusion, the points (-1, 3), (-5, -5), and (1, 2) fit the inequality.
Answer:
1st one is 20 2nd one is 21
Step-by-step explanation:
I believe the answer would be D, 2y+6/9y-7 x 3/2 because dividing by a fraction is the same as multiplying by its reciprocal (the fraction flipped).
Hope I helped! ;)
0.7 repeated (little line over the 7)
Answer:
7 trays
Step-by-step explanation:
Given the
, the z score is obtained using the formula:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
The z score value for a 95% interval is 1.645.
#Substitute our z value and solve for x:
![z=\frac{x-\mu}{\sigma}\\\\1.645=\frac{x-5}{1}\\\\1.645+5=x\\\\x=6.645\approx7](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5C1.645%3D%5Cfrac%7Bx-5%7D%7B1%7D%5C%5C%5C%5C1.645%2B5%3Dx%5C%5C%5C%5Cx%3D6.645%5Capprox7)
Hence, the bakery must prepare 7 trays of doughnuts .