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2 years ago

Fred earns $16.50 an hour for overtime. He worked overtime on Monday

Mathematics

1 answer:

vredina [299]2 years ago

5 0

Answer: He worked for 3 1/2 hours on Thursday

Step-by-step explanation:

I subtracted 66 from 123.75 and then i was left with 57.75 and then i just added 16.50 until i was close and then added the 8.25

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

2 years ago

Which situation is best modeled by the inequality g ≤ 13?

Olin [163]

Answer:

You must be no older than 13 to play a game.

Step-by-step explanation:

≤ this sign means equal to or less than in this case it is 13

8 0

2 years ago

Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a

weqwewe [10]

Answer:

0.08 ounces is interpreted as the Mean Absolute Deviation and this means that

the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces.

Step-by-step explanation:

Mean Absolute Deviation of a data set is defined as the distance or the deviation between a given data set and the calculated mean.

Mean Absolute Deviation tells us about how much a data set varies from it's mean.

From the above question, we are told that after weighing 48 eggs we have a mean of 2.1 ounces and mean deviation of 0.08 ounces

Therefore this means that the various weights of each of the 48 eggs deviates from the mean of the egg (2.1 ounces)by 0.08 ounces

6 0

2 years ago

The library charged Monica $50 for a book that was 10 days overdue

barxatty [35]

Erm what’s your question?

8 0

2 years ago

Davison Electronics manufactures two LCD television monitors, identified as model A andmodel B. Each model has its lowest possib

shtirl [24]

The question is incomplete. The complete question is :

Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:

Production per unit Minimum production

Model New Line Old Line requirements

A $30 $50 50,000

B $25 $40 70,000

Production 80000 60000

line capacity.

Let

AN- Units of model A produced on the new production line

AO Units of model A produced on the old production line

BN Units of model B produced on the new production line

BO Units of model B produced on the old production line

Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.

a. Formulate the linear programming model for this problem using the following four constraints:

Constraint 1: Minimum production for model A

Constraint 2: Minimum production for model B

Constraint 3: Capacity of the new production line

Constraint 4: Capacity of the old production line

Solution :

<u>Linear programming model</u>:

Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.

The linear programming model is determined as follows :

Minimum : 30 AN + 50 AO + 25 BN + 40 BO

This is subject to the constraints as :

$AN+AO \geq 60,000$