Mathematics High School

STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being made must be a tolerance of 0.04 mm. The inspector is examining bolts that are to have a diameter of 6.5 mm.

Answers

Answer 1

From an absolute value inequality, we have that:

The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.

The absolute value measures the distance of a point or a function to the origin.One example of inequality is:

[tex]|f(x)| \leq a[/tex]

Which has solution:

[tex]-a \leq f(x) \leq a[/tex]

In this problem:

Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:

[tex]|D - 6.5| \leq 0.04[/tex]

Applying the solution:

[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]

[tex]-0.04 \leq D - 6.5[/tex]

[tex]D - 6.5 \geq -0.04[/tex]

[tex]D \geq 6.46[/tex]

[tex]\leq D - 6.5 \leq 0.04[/tex]

[tex]D \leq 6.54[/tex]

The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.

A similar problem is given at https://brainly.com/question/24835634

Related Questions

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%?

Answers

Answer:

$3.36

Step-by-step explanation:

47.96×7%=$3.357

Answer:

About $3.36

47.96 x 0.07 = 3.3572 rounded up is 3.36

If JM = x + 17 and MK = 5x - 23 find JL

Answers

Answer: 54

Step-by-step explanation:

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,

HM = JM = MK = ML

Substitute the value of JM and ML,

JM = MK

x + 17 = 5x - 23

x - 5x = -23 - 17

-4x = -40

x = 10

The length of JM can be written as,

JM = x + 17 = 10 + 17 = 27

Since HM = JM = MK = ML, therefore,

JL = (JM + ML) = 27+27 = 54 units

Hence, the length of JL is 54 units.

Learn more about Rectangle:

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The grades on a student's five tests are 0% ,70% ,75% ,73% and 80% what is the student's average test grades ?

Answers

Answer:

59.6%

Step-by-step explanation:

You add all of the number up and divide by 5

Answer:

59.6 which is a D - this is still a passing grade, (between 59% and 69%)

Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?

Answers are:
A) 14
B) 15
C)16
D)20

Answers

I believe the answer would be 15, because Nic makes a base of $150 per week, so you would do the base $150+75=225 and keep going until you get 1275. The # of packages Nic would need to sell to reach Asia’s weekly pay is 15.

help quickly please!

Answers

The answer to your question is C

Evaluate the function below for x=2 f(x)=x^4+6x^3+3

Answers

Answer:

f(2)=67

Step-by-step explanation:

In order to evaluate the function you must switch all of the x for 2

so it would be f(2)=2^4+6(2)^3+3

Solve the equation
X + 5 = 2
Can anyone please explain this?
Will give brainiest if you did not put the answer or you didn’t try to
You will get reported

Answers

Answer:

x + 5 = 2

x = 2 - 5

x= -3

I hope it's helps you

PLEASEE HELPP HELPP IMMA FAIL

Answers

I think the first answer is 21

The diameter of a circle is 12cm. Find its area in terms of π.

Answers

Answer:

37.68 cm²

Step-by-step explanation:

2πr

2π6

2 × 3.14 × 6

37.68 cm²

Please, please help! Simplify the following:

Answers

Answer:

-15

Step-by-step explanation:

(5) x (-3) = -15

HALP 20 points PIC DOWN BELOW

Answers

Answer: The Answer is B

Step-by-step explanation:

What is the probability that someone in your class wants the New England Patriots to win

Answers

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

what is the quotient of 13 divided by 8

Answers

1.625 or/and 13/8 should be your answer

g ih even me answer please

Answers

Step-by-step explanation:

It E = 8, -3

A scientist planted seeds in 4 sections of soil for an experiment. Not all of the
seeds grew into plants. After 20 days, the scientist counted the number of
plants in each of the 4 sections. The results are shown in the table.
• Use the data in the table to determine approximately how many plants
grew per square foot.
• Explain or show how you determined your approximation.
• Let y be the number of plants expected to grow in x square feet. Write an
equation the scientist could use to model the relationship between y and x.

Answers

Answer:

I think you would multiply 20 × 4 and the answer would be 80 that the scientist counted the number of plants in each 4 sections after 20 days.

The number of plants per square foot will be; 48.

Given that scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

The number of plants per square foot:

= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)

= (325 + 3800 + 5875 + 9300) / 400

= 48.25

Thus, it was illustrated by the number of plants and size of sections.

Thus, the number of plants per square foot will be 48.

To learn more about square foot refer to:

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Find the indicated side of the
triangle.
a
7.
30°
D
b = [ ? IV

Answers

I think it’s 7 and 3 for the second number

A number more than 4

Answers

Answer:

Step-by-step explanation:

If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether

Answers

16.66 is the answer major guess tho

Answer: If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Step-by-step explanation:

What is the Percentage?

percentage, a relative value indicating the hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert 2% to a decimal number by dividing by 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for the year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Hope I Helped!

solve:

4(n-7) -2 (n+3)-15n

Answers

Answer:

solved

Step-by-step explanation:

4n-28 -2n -6 -15n

-13n-34

-(13n+34)

You have 3 mice in a barn and they quadruple every month. How many mice are in the
barn in 1 year?

Answers

Answer:

144

Step-by-step explanation:

4*3=12

12*12=144

How do I solve this?

Answers

Answer:

There are 10 cows and 16 chickens

So we know that cows have 4 legs and chickens have 2 so since there are 10 cows and 16 chickens you can multiply 4 times 10 and that gives you 40 then multiply 16 times 2 and that gives you 32. Then you add the 40 and 32 and that gives you 72 so you are missing 2 legs which means that it is 10 cows and 17 chickens which gives you 74 legs but only 27 animals so i have no clue how many there is of each :);)

Add the two functions.

f(x) = 3x3 + 7x − 26

g(x) = x + 2

Answers

Answer:

1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C

2. G ( x ) = 1/2X^2 + 2x + C

Someone help and please make sure it’s right?

Answers

Answer:

I think it is 8.8 yards because its not bigger than 10 and not smaller than 6

A cylindrical water towers has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the gallon contain?

Answers

Answer:

233445.54 gallons

Step-by-step explanation:

Given data

Diameter= 15m

Radius= 7.5m

Height= 5m

Let us first find the volume

the volume of a cylinder is given as

V= πr^2h

substitute

V= 3.142*7.5^2*5

V= 3.142*56.25*5

V=883.6875 m^3

Hence the volume in gallons is

233445.54 gallons (from conversion tables)

Please please please help!

Answers

Answer:

6 pounds

Step-by-step explanation:

every 16 ounces =1 pound

so 96/16 = 6

6 *1 = 6

therefour 6 pounds

28. Find the median of the following marks:
2, 4, 10, 3, 6, 12
A. 4 B. 5 C. 6 D. 10
pls show working

Answers

Answer:

Step-by-step explanation:

put in order from least to greatest

2,3,4,5,6,10,12

median is just another word for middle

Someone help plz make sure it’s right?

Answers

Sohcahtoa
Use toa, tangent = opposite/adj
Opposite = 20
Adjacent = 21
TanX = 20/21

The solution is C

Crystal randomly selects a card from the list and
then replaces it. Find:

a. P(two even numbers)

b. P(number less than 4 and a number greater than 4)

Answers

Sorry, don’t know the answer

PLEASE HELP ME WITH THIS

Answers

Answer:

P = 2x + 24

Step-by-step explanation:

P = 2(l + w)

P = 2(7 + x + 5)

P = 2(x + 12)

P = 2x + 24

Find the value of z in the diagram below.

MARKED AS BRAINLIEST:))

Answers

Answer:

z=7

Step-by-step explanation:

If z represents 1/2 of 14, then z=14*1/2=14/2=7

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