Answer:
d) The additional training did not significantly lower the defect rate
Step-by-step explanation:
Let proportion of defective chips be = x
Null Hypothesis [H0] : Additional training has no impact on defect rate x = 8% = 0.08
Alternate Hypothesis [H1] : Additional training has impact on defect rate x < 8% , x < 0.08
Observed x proportion (mean) : x' = 27 / 450 = 0.06
z statistic = [ x' - x ] / √ [ { x ( 1-x ) } / n ]
( 0.06 - 0.08 ) / √ [ 0.08 (0.92) / 450 ]
= -0.02 / √ 0.0001635
= -0.02 / 0.01278
z = - 1.56
Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33
Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded
B. Rectangle
C. Trapezium
D. Parallelogram
Answer:
parallelogram
Step-by-step explanation:
parallelograms are parallel.
Answer:
see below
Step-by-step explanation:
Any line between two points on the circle is a chord.
Any angle with sides that are chords and with a vertex on the circle is an inscribed angle.
Any angle with sides that are radii and a vertex at the center of the circle is a central angle. Each central angle listed here should be considered a listing of two angles: the angle measured counterclockwise from the first radius and the angle measured clockwise from the first radius.
chords: DE, EF
inscribed angles: DEF
central angles: DCF . . . . . note that C is always the vertex of a central angle
chords: RS, RT, ST, SU
inscribed angles: SRT, RSU, RST, RTS, TSU
central angles: RCS, RCT, RCU, SCT, SCU, TCU
chords: DF, DG, EF, EG
inscribed angles: FDG, FEG, DFE, DGE
central angles: none
chords: AE
inscribed angles: none
central angles: ACB, ACD, ACE, BCD, BCE, DCE
C = 5/9 (F – 32)
A. 25
B. 45
C. 60
D. 80
Answer:
A. 25°C
Step-by-step explanation:
C=5/9(77-32)
C=5/9(45)
C=25°C
To convert from Celsius to Fahrenheit. We apply the following formula:
We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.
So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".
By maximizing the amount of cheaper nuts and minimizing the amount of expensive nuts, the manufacturer should use a mix of 50% peanuts, 40% cashews, and 10% almonds. The profit per can will be $1.87, closest to $1.77 out of the given choices.
This problem involves linear programming, and it is a problem of maximizing profit under given constraints. The proportions of nuts can be found using optimization techniques that are usually covered in calculus or advanced algebra classes, but a quick answer can be given here by considering the cost of each type of nut.
The manufacturer should maximize the amount of the cheapest nuts in the mix to increase the profit. So, they should fill the can with 50% peanuts ($0.55 per lb), 40% cashews ($1.20 per lb), and 10% almonds ($2.75 per lb) to meet the minimum requirement for almonds and maximum constraints for peanuts and cashews. The average cost of this mix per pound will be (0.5x0.55)+(0.4x1.2)+(0.1x2.75) which equals $1.025 per lb. If the can costs $0.10, the total manufacturing cost per can becomes $1.125.
If the nut mix is sold at $3.00, the profit per can will be $3.00 - $1.125 which equals $1.87. This is closer to $1.77. Therefore, the answer should be $1.77 if we consider rounding to the closest number. Note that we can't fill a full can because the total proportion is already 100%, but we have ignored the volume taken up by the can itself in this calculation.
Learn more about Linear Programming here:
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Answer:
Nut
Step-by-step explanation:
Answer:
L=10cm , W=30cm
Step-by-step explanation:
First use the given that W=10+2*L
Use P=2W+2L=80, substitute W in the perimeter formula
2(10+2L)+2L=80 and solve for L,
20+4L+2L=80 isolate variable L and combine like terms,
6L=80-20,
L=10, so W=10+2*10=10+20=30
Answer:
C. Range
Step-by-step explanation:
The inputs of a function are the x-values. The domain represents the set of x-values in a function.
The outputs of a function are the y-values. The range represents the set of y-values in a function.
Answer:
C) Range
Step-by-step explanation:
The Range is the set of possible output values, which are shown on the y-axis while the Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. No I did not copy the person above me I did this on my own so please don't report me. Hope this helps :)