Answer: 1/6
Step-by-step explanation: there is 6 faces on a standard die, one of them is 5.
<span>1/4+3/4+3 3/4+1 1/2+5 1/2, which is 11 3/4 ounces.</span>
Answer:
negative.
Step-by-step explanation:
what is half of -6?
=-3, negative.
You owe your friend 6 dollars, and you have 0 dollars.
Your friend told you: you only have to pay half the money
so, instead of owing 6 dollars, you owe 3 dollars, which will still be equal to -3 dollars from your wallet :)
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Answer:
The weights within this range are:
8.9
9.5
9.8
10.4
Step-by-step explanation:
The graph represents the normal distribution with a mean of 9.5 and a standard deviation of 0.5. Therefore, the range of the values within 2 standard deviations is:
9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)
8.5 ≤ x ≤ 10.5
