9.
Well the first has the angles being 3x+12,x,and 90 so they have to add up to 180 degrees because it is a triangle.
3x+12+x+90 = 4x+102 = 180 solve
4x+102=180
4x=78
x=19.5
That’s the answer with steps
Given:
Overhead cost = 34,816
Production cost per lawn mower = 388
Average cost per lawn mower = 660
Total Production cost + Overhead Cost = Total Cost
Total Cost ÷ # of lawn mowers produced = Average cost per lawnmower
Let x be the number of lawn mowers produced:
(388x + 34,816)/x = 660
x((388x + 34,816)/x) = x * 660
388x + 34,816 = 660x
34,816 = 660x - 388x
34,816 = 272x
34,816/272 = 272x/272
128 = x
There are 128 lawnmowers manufactured.
To check:
388x + 34,816 = total production cost.
388(128) + 34,816 = 49,664 + 34,816 = 84,480
84,480 ÷ 128 = 660 ave cost per unit
Answer:
w = 49
Step-by-step explanation:
w - 39 = 10
=> w = 10 + 39
=> w = 49
Answer:
Based on statistical analysis the claim is of 3% of patients developing adverse reaction is valid and there is a drug problem
Step-by-step explanation:
Here we have
Percentage of patients that develop nausea em= 153/5783 *100 = 2.65 %
To test the hypothesis, we put our null hypothesis as
H₀: μ = 3%
Alternative hypothesis is then
Hₐ: μ < 3%
Therefore the test statistic is
P₀ = 0.03
= 0.0265
n = 5783
From the above we have our test statistic as -1.579 from which gives our p value as P = 0.057.
Therefore, as we have our P value less than the confidence level of 0.05, we therefore fail to reject the null hypothesis because there is sufficient statistical evidence that suggest that the proportion of patients who would have adverse reaction to the drug = 3%.