X = 42
x/3 - 4 = 10
+ 4 +4
x/3 = 14
•3 •3
x = 42
Answer:
Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
<span>This property is called associativity. It shows that it doesn't matter whether you perform the sum on the first two numbers and then the third, or on the second two and then the first, because you will get the same answer either way. That is because addition is associative.</span>
Answer:
Step-by-step explanation:
a) The null hypothesis states that
The production line operation fills cartons with laundry detergent to a mean weight of 32 ounces.
H0 : µ = 32
The alternative hypothesis states that
The production line operation overfills or under fills cartons with the laundry detergent to a mean weight of above or below 32 ounces.
Ha : µ ≠ 32
b) when the calculations are done and the p value is determined, then it would be compared with the level of significance
When the significance level is lesser than the p value, we do not reject H0 because there is no sufficient evidence to conclude that the production line operation overfills or under fills cartons.
c) When the significance level is greater than the p value, we would reject H0 because there is sufficient evidence to conclude that the production line operation overfills or under fills cartons.
Answer:
3/2
Step-by-step explanation:
A couple of different methods are used for dividing fractions.
1. "Invert and multiply". Dividing by a number is the same as multiplying by its reciprocal:
(3/4) / (1/2) = (3/4) × (2/1)
= (3·2)/(4·1) = 6/4 = 3/2
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2. Make the denominators the same and use the ratio of numerators.
(3/4) / (1/2) = (3/4) / (2/4) = 3/2
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For these fractions, you can recognize that 3/4 is 1/4 more than 1/2, and that 1/4 is half of 1/2. That means 3/4 is half-again as much as 1/2, so is 1 1/2 = 3/2 times 1/2. This tells you the ratio (3/4) : (1/2) = 3/2.
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Along the lines of the above, you can write the ratio as ...
(3/4) : (1/2)
and multiply by 4 to get
= (3/4)×4 : (1/2)×4 = 3 : 2
