Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Answer:
x=7
Step-by-step explanation:
AC=3x+3 AB=-1+2x and BC=11
AC = AB + BC
ALL THE STEPS:
3 X + 3 = - 1 + 2 X + 11
3 X + 3 = 2 X + 10
3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10
X + 3 = 10
X + 3 + ( - 3 ) = 10 + ( - 3 )
X = 7
Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
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The inequality would be 3.1h + 2.3b ≥100
Step-by-step explanation:
Earning of Tammy for each hour of work= $3.1
Total hours she worked= h
Earning for picking each bushel of apple= $2.3
Total bushel she picks= b
Her goal = minimum of $100
Hence total earning from working= earning from each hour* no of hours worked
Total earning= 3.1h
Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked
Total earning= 2.3b
According to question total earning must be greater than $100
Hence, 3.1h + 2.3b ≥100
