Answer:
6.0520
Step-by-step explanation:
Given that:
Mean = 5.85
Standard deviation = 0.24
Let N denote the 80th percentile.
P(X < N) = 0.8

Using the Excel formula: = NORM.INV(0.8,5.85,0.24)
The 80th percentile for the diameters of mandarin oranges:
= 6.0520 (to 4 decimal place)
Answer: Jorge has 62 marbles.
Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.
We are to find the number of marbles that Jorge has.
Let x and y represents the number of marbles that Jalme and Jorge has respectively.
Then, according to the given information, we have

and

Thus, Jorge has 62 marbles.
Answer:
Yellow = 18 spools of ribbon
Blue = 15 spools of ribbon
Bobby will have 3 more spools of yellow ribbon.
Answer: z = 3
Step-by-step explanation: To solve this equation for <em>z</em>, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have <em>z</em> after their coefficient, we can subtract 12z - 7z to get 5z.
Now we have 5z - 2 = 13.
To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.
Now we have 5z = 15.
Solving from here, we divide both sides of the equation by 5 to get <em>z</em> alone. On the left side, the 5's cancel out and we are simply left with <em>z</em>. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.
Answer:
Step-by-step explanation:
hello :
12x^3-9x²-4x+3= 3x²(4x-3)-(4x-3)