The given inequality is:
-5c + 2 ≤ 27
Subtracting 2 from both sides, we get:
-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25
Dividing by 5 on both sides we get:
- x ≤ 5
Multiplying by -1 we get:
x ≥ 5
Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.
From the given options, the second graph correctly represents this solution.
Answer:
Let O be the center of the circle.
<COA = 90*
<FOE = <AOB = 146*
Considering that a circle is 360* we have <BOC = 124*
The Arc ABC is <AOB + <BOC = 124 + 90 =214*.
Answer:
3972.72 specimens
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ where
x is the raw score = 73 cm
μ is the population mean = 147 cm
σ is the population standard deviation = 30 cm
N is the number of samples = 4000
For x > 73
z = 73 - 147/30
z = -2.46667
Probability value from Z-Table:
P(x<73) = 0.0068189
P(x>73) = 1 - P(x<73) = 0.99318
The probability of having a height greater than 73cm is: 0.99318
The number of specimens that have a height greater than 73cm is calculated as: 0.99318 × 4000
= 3972.72 specimens
X+20+10x=20+9x
adding like terms
x(10+1)+20=20+9x
11x+20=9x+20
subtracting 9x from both sides
2x+20=20
subtracting 20 from both sides
2x=0
dividing by two for both sides
x=0