A shipment of marbles with a mean diameter of 27 mm and a standard deviation of 0.15 mm is normally distributed. By how many standard deviations does a marble with a diameter of 26.85 mm differ from the mean?

Answers

Answer 1

Answer:

This could be solved by calculating the z-score. Itsdefinition is the number of standard deviations from the mean a data point is.The formula is,

Z =║Data point – Mean║ / Std. dev.

Z = ║26.85 mm – 27 mm║ / 0.15

Z = 1

Answer 2

Answer:

Answer:

The answer would be 1

Step-by-step explanation:

Related Questions

What the equation x/35 what is the value of x
80% of what number is 35.
What is the 13th term of this arithmetic sequence? 132, 135, 138, 141,
ACAT ADOG. LC 43°, ZA (5x-3)°, and T 50°. Find x and the m20.
What is the 31st term in the sequence below? -108,-90,-72,-54

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°. Sin60° = √3 / 2

x = 18 / (√3 / 2)

= 18 / √3 * 2/1 = 36 / √3

x = 36 / √3

Rationalize the surd = 36 / √3 * (√3 / √3 ) = 36√3 / 3

x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

Hi ... i appreciate you to answer this questuion... $\frac{ {x}^(2) }{ {x}^(4) + 1 }$

Answers

Answer:

$\large \boxed{\sf \ \ (x^2)/(x^4+1)=(1)/(7) \ \ }$

Step-by-step explanation:

Hello,

We know that (let's assume that x is different from 0 as we cannot divide by 0)

$x+(1)/(x)=3$

and we want to estimate

$(x^2)/(x^4+1)$

Let's take the square.

$9=3^2=(x+(1)/(x))^2=x^2+2\cdot x \cdot (1)/(x)+(1)/(x^2)=x^2+2+(1)/(x^2)=(x^4+1)/(x^2)+2$

So, we can write

$(x^4+1)/(x^2)=9-2=7 \n \n\n\text{*** let's take the inverse ***} \n \n(x^2)/(x^4+1)=(1)/(7)$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A Pythagorean triple is a triple of natural numbers satisfying the equation a^2+b^2+c^2.One way to produce a Pythagorean triple is to add the reciprocals of any two consecutive even or odd numbers. For example, 1/5+1/7=12/35. Now 12^2+35^2=1369. This is a Pythagorean triple if 1369 is a perfect square, which it is since 1369=37^2. So 12, 35, 37 is a Pythagorean triple. Prove that this method always works.

Answers

x, x+2 - two consecutive odd or even numbers
Add the reciprocals of these numbers.
$(1)/(x)+(1)/(x+2)=(x+2)/(x(x+2))+(x)/(x(x+2))=(x+2+x)/(x^2+2x)=(2x+2)/(x^2+2x)$

Now add the squares of the numerator and denominator, as in the example.
$(2x+2)^2+(x^2+2x)^2= \n 4x^2+8x+4+x^4+4x^3+4x^2= \n x^4+4x^3+8x^2+8x+4$

So this number has to be a perfect square.
$x^4+4x^3+8x^2+8x+4= \nx^4+2x^3+2x^2+2x^3+4x^2+4x+2x^2+4x+4= \nx^2(x^2+2x+2)+2x(x^2+2x+2)+2(x^2+2x+2)= \n(x^2+2x+2)(x^2+2x+2)= \n(x^2+2x+2)^2$
It is a perfect square, so this method always works.

The numbers $2x+2, \ x^2+2x, \ (x^2+2x+2)^2$ are a Pythagorean triple for any $x \in \mathbb{N^+}$ .

Answer:

even tho this has nothing to do with the answer ;-;

Step-by-step explanation:First a definition: A Pythagorean Triple are three natural numbers 1 <= a <= b <= c, such that a2 + b2 = c2 holds. For example 3, 4, 5 is such a triple, since 32 + 42 = 9 + 16 = 25 = 52. While 2, 3, 4 is not such a triple, since 22 + 32 = 4 + 9 = 13 and 42 = 16. We note here that only natural numbers are considered, and thus 2, 3 can not be extended to Pythagorean triple (since 13 is not the square of some integer).

Now the question: Can we colour the natural numbers 1, 2, 3, ... with two colours, say blue and red, such that there is no monochromatic Pythagorean triple? In other words, is it possible to give every natural number one of the colours blue or red, such that for every Pythagorean triple a, b, c at least one of a, b, c is blue, and at least one of a, b, c is red ? We prove: The answer is No. That is easier to express positively: Whenever we colour the natural numbers blue or red, there must exist a monochromatic triple (one blue triple or one red triple).

More precisely we prove, using "bi-colouring" for colouring blue or red: 1) However we bi-colour the numbers 1, ..., 7825, there must exist a monochromatic Pythagorean triple. 2) While there exists a bi-colouring of 1, ..., 7824, such that no Pythagorean triple is monochromatic. Part 2) is relatively easy. Part 1) is the real hard thing -- every number from 1, ..., 7825 gets one of two possible colours, so altogether there are 27825 possible colourings, which all in a sense need to be considered, and need to be excluded. What is 27825? It is approximately 3.63 * 102355, that is, a number with 2356 decimal places. The number of particles in the universe is at most 10100, a tiny number with just 100 decimal places (in comparison).

Now let's perform real brute-force, running through all the possibilities, one after another: Even if we could place on every particle in the universe a super-computer, and they all would work perfectly together for the whole lifetime of the universe -- by far not enough. Even not if inside every particle we could place a whole universe. Even if each particle in the inner universe becomes again itself a universe, with every particle carrying a super-computer, still

by far not enough. Hope you get the idea -- the $100 we got wouldn't pay that energy bill.

Fortunately there comes SAT solving to the rescue, which actually is really good with such tasks -- it can solve some such task and even more monstrous tasks. Our ``brute-reasoning'' approach solved the problem and resulted into a 200 terabytes proof -- the largest math proof ever. Though we must emphasise that this is in no way guaranteed, and possibly it will take aeons! SAT solving uses propositional logic, in the special form of CNF (conjunctive normal form). Fortunately, in this case it is easy to represent our problem in this form.

If Timmy has 20 apples and John has 15. How many do they have in total?

Answers

Answer: 35

Step-by-step explanation: Simple math.

What is the kinetic energy of a 1kg pie traveling at a speed of 4m/s

Answers

The kinetic energy is 8 J.

What is the inverse of the function f(x) = 2x – 10

Answers

f(x) is y given x
y=2x-10
inverse is switching x and y so
x=2y-10
solve for y
y=(x+10)/2

Other Questions

A car travels 2500 meters then stops. It turns left and travels 3000 meters; the car does this is 200 seconds. What was the average speed of the car?

What is √25 times√81 times 0?

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?a.22 feet b.26 feet c.33 feet d.44 feet

Game stop is having a 15% off sale. If the game rocket league is $40 and the sales tax rate is 6.25%, how much would you pay after the discount and sales tax is applied?