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SashulF [63]
3 years ago
5

You schedule production of communications chips. After the chips are produced, they go to the QC department, where each chip mus

t pass a 2-hour test. Over the past year, 5.0% of the chips have failed this test. You wish to choose a batch size that will yield as close as possible to 1,000 good chips, on average. What is the best batch size?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
The best batch size is 1053.

Since 5% have failed, this means 95% have passed the test.

95% = 95/100 = 0.95

We can set up an equation to answer this:
0.95x = 1000

Divide both sides by 0.95:
0.95x/0.95 = 1000/0.95
x = 1052.6 ≈ 1053
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Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number
Iteru [2.4K]

Answer:

<h2>y=0.35m+50</h2>

Step-by-step explanation:

Step one:

given data

the daily fee= $50

cost per mile driven =$0.35

Let m = the number of miles

let y be the total cost

Step two

Required

the expression for the total cost is

An algebraic expression that shows the amount he will pay for the van. is  

<em>y=0.35m+50</em>

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Find SV. It’s hard for me :(
rosijanka [135]

Answer:

56

Step-by-step explanation:

from theorem , VR/SR=VU/UT

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Bridgette made a graph of her neighborhood on a coordinate grid. The points A(-2, 3), B(-2, -2), C(2, -2), and D(2, 3) represent
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Answer:

\boxed{\text{18 blocks}}

Step-by-step explanation:

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AB = CD  = (3 +2) = 5

BC = AD = 2 –(-2) = 4

Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks

Bridgette jogs \boxed{\textbf{18 blocks}}each day.

8 0
3 years ago
At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to science teachers in si
scoundrel [369]

Answer:

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It's true!

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Read 2 more answers
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
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