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trasher [3.6K]
2 years ago
12

Nadia, John, Saba and Kumar are working together on a project. These are the data for each: Nadia: 60 hours, overhead rate 75%,

personal time 10%, $20/hr John: 80 hours, overhead rate 55%, personal time 12%, $40/hr Saba: 80 hours, overhead rate 75%, personal time 10%, $36/hr Kumar: 40 hours, overhead rate 55%, personal time 12%, $20/hr Who has the highest direct labour costs?
Mathematics
1 answer:
Lynna [10]2 years ago
3 0
John has the highest direct labour costs of <span>$1548.80. Obtain the number of hours worked by multiplying the number of hours available by the percentage of time that is not personal time. Obtain the proportion of overhead rate by multiplying the percentage of overhead rate by the rate in dollars per hour. Finally, multiply the two products obtained to get direct labour costs for each individual.</span>
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An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were
vladimir1956 [14]

Answer:

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

There is  significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units

Step-by-step explanation:

<u>Step:-(1)</u>

Given data the samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4

Mean of the first sample x₁⁻ =85

standard deviation of the first sample S₁ = 4

Given data the samples of material 2 gave an average of 81 and a sample standard deviation of 5.

Mean of the first sample x₂⁻ =81

standard deviation of the first sample S₂ = 5

<u>Step :-2</u>

<u>Null hypothesis: H₀:</u> there is no significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

<u>Alternative hypothesis :H₁: </u>there is  significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Assume the populations to be approximately normal with equal variances.σ₁² =σ₂²

The test statistic

                     Z= \frac{x_{1} -x_{2} }{\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{S^2_{2} }{n_{2} }  } }

Given  n₁=n₂=60.

                    Z= \frac{85-81 }{\sqrt{\frac{(4)^2 }{60 } +\frac{5^2 }{60}  } }

On calculation, we get

                   Z =   \frac{4}{\sqrt{0.6833} }

                   z = 4.8389

The tabulated value Z =1.96 at 0.05 level of significance.

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

Conclusion:-

there is  significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units.

3 0
2 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
2 years ago
Read 2 more answers
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u
Mariulka [41]
Case 1:  If we multiply f(x) = |x| by a fraction greater than zero and less than 1, the width of the resulting graph will increase.  If the vertex of the original function is moved 2 units to the right, then we'd replace |x| with |x-2|  Only the coefficient (3/4) satisfies the "wider graph" requirement here.

Next time you list answr possibilities, please type them in only one per line, or separate them with commons, semicolons or the like.
4 0
2 years ago
Read 3 more answers
For the equations y=3.5x and y=25x + 40.50, x represents time in hours and y represents cost in dollars . Which equation is not
CaHeK987 [17]

Answer:

y=25x+40.50 is not the equation of proportional relationship because if you were to graph the equation, the line would not go through the origin of the graph. You can tell beause of the y-intercept that is given in the equation, 40.50.

Step-by-step explanation:


7 0
2 years ago
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An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $190 and the lower-pr
Alex_Xolod [135]

190x +80(3x) = 3440
x represents how many are sold. then multiply 80×3
80 \times 3 = 240
then add your x together
190x + 240x = 430x
then you must divide your x by 3440
3440 \div 430 = 8
8 is how many higher-priced speakers take you 8 and multiple it by 3 to get how many lower-priced speakers
8 \times 3 = 24
you have 24 low priced speaker and 8 high priced speakers.
4 0
2 years ago
Read 2 more answers
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