Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
Okay so the circle on the line plot, if it is empty In the middle it is > or < if it is solid it is ≤ ≥. In this case it not solid so it will be > or < . The plot is at -1 1/2 and is going positive. So it would be a > -1 1/2
X= 1.80/10 . x is the number of dimes. 1.80 is your total and 10 represents the worth of the dime
Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.