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2 years ago

A delivery company has 18 vehicles in its fleet.

Mathematics

1 answer:

Margarita [4]2 years ago

8 0

Wow that looks a little difficult. good ouck!

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Tony scored 22 and 25 points in the first two games of a basketball tournament. Tony’s goal is to make the all tournament team.

saw5 [17]

He needs to score between 3.5 points more at the next game to make it to the all tournament team at the minimum. good luck with the question!!

8 0

2 years ago

A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional

Illusion [34]

Answer: $x=46$

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year $=holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}$

$Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year$

yearly ordering cost $=400x+3\times \frac{211600}{x}$

Total cost C(x) $=\frac{211600}{x}+400x+3\times \frac{211600}{x}$

differentiate C(x) w.r.t to x we get

$\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}$

Put $\frac{\mathrm{d} C(x)}{\mathrm{d} x}=0$ to get max/min value

$400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0$

$x^2=\frac{211600}{100}$

$x=\sqrt{2116}$

$x=46$

therefore 46 runs must be performed

5 0

1 year ago

A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of eac

Valentin [98]

The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that Buying five of each type of plant costs $39, which is the lowest possible cost.

3 0

2 years ago

Read 2 more answers

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

8 0

2 years ago

Find the value of 3 + 5 × (2 − 1).

Alenkasestr [34]

Step 1 (simplify):
3+5x(2-1)
8 x 1

Step 2 (solve):
8 x 1 = 8

8 is your answer. Hope this helps :)

8 0

1 year ago

Read 2 more answers