In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.

Answer:

0.0062137124 miles per second

Step-by-step explanation:

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

\(SE=\frac{s}{\sqrt{N} }\)

     \(=\frac{8}{\sqrt{92} }\)

     \(=0.834\)

now,

⇒ \(1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )\) = \(1-P(-2.28<z<2.28)\)

or,

                                          = \(1-(2\times P(z<2.28)-1)\)

                                          = \(2-2\times P(z<2.28)\)

With the help of table, the normal distribution will be:

=  \(2-2\times 0.9887\)

= \(0.0226\)

Answer

D

Step-by-step explanation:

Edge 2020

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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The answer is - 17

here, we have to apply BODMAS rule

given ,- 22 + (10) = 15

            = - 22 - 10 + 15

           = -32 + 15

           = - 17

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.

B=Brackets

O=Off

D=Division

M=Multiplication

A=Addition

S=Subtraction

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

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Answer:

First rectangular solid and second Rectangular solid

1. Bases are in the form of square having same dimensions

2. Height of first rectangular solid=2 ×Height of second rectangular solid

The true statements are

A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.

(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .

(D) Volume of first solid = x *x*2 H=2 x²H

Volume of second solid = x*x*H=x²H

Ratio of volumes =2:1

So, option (D) is true.

(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]

=2[x²+4 H*x]=2 *x*[x+4* H]

Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]

Option A, D, E are correct about two solids.

Step-by-step explanation:

Answer:

a, d, e

Step-by-step explanation:

Answer:

4.35 rounded to the nearest hundredth

4.3 rounded to the nearest tenth

4 rounded to the nearest whole number.

Step-by-step explanation:

\(8\frac{1}{6}\) ÷ \(1 \frac{7}{8}\) =

\(\frac{49}6}\) ÷ \(\frac{15}{8} =\)

\(\frac{49}{6} *\frac{8}{15} =\)

\(\frac{392}{90} =\)

\(4 \frac{32}{90} =\)

\(4\frac{16}{45}\) ≈ 4.35

The statement which is true include the following: A. (0, 0) is the x- and y-intercept of the function.

In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

By critically observing the graph (see attachment), we can reasonably infer and logically deduce that the x-intercept and y-intercept are located at the origin (0, 0).

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Answer:

1. 4:105

2. 12.5:1.7

3. 12:65

Answer:

1. 4:105

2. 12.5:1.7

3. 12:65

the person on top said the answer

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

Step-by-step explanation:

33.414−33.36

=33.414−33.36

=33.414+−33.36

=0.054

Answer:

.054

Step-by-step explanation:

33.414 - 33.36 = .054

The simplification of the given expression on the basis of identity is given as  144 - 24y +  y².

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is (12 - y)².

It can be expanded on the basis of the algebraic identity (a - b)² = a² - 2ab + b² as follows,

(12 - y)²

= 12²- 2×12y + y²

= 144 - 24y +  y²

Hence, the given expression can be simplified as 144 - 24y +  y².

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Answer:

0.66

Step-by-step explanation:

The table is showing P(1), P(2), etc.

To find P(x>6) = P(7)+P(8)+P(9)+P(10)

= 0.09+0.17+0.19+0.21

= 0.26+0.40

= 0.66

Answer:

The laplace transform is \(\frac{2}{(s+6)^3}\)

Step-by-step explanation:

We will solve this problem by applying the laplace transform properties (their proofs are beyond the scope of this explanation).

Consider first the function f(t) = 1. By definition of the laplace transform, we have

\(F(s) = \int_{0}^{\infty}f(t)e^{-st}dt\)

when f(t) = 1 we get

\(F(s) = \int_{0}^{\infty}e^{-st}dt = \left.\frac{-e^{-st}}{s}\right|_{0}^{\infty} = \frac{1}{s}\)

We will apply the following properties: Define L(f) as applying the laplace transform

\(L(e^{at}f(t)) = F(s-a)\) (this means, multiplying by an exponential corresponds to a shift in the s parameter of the transform of f)

\(L(t^nf(t)) = (-1)^n\frac{d^n F}{ds^n}\) (this is, multypling by \(t^n\) is equivalent to taking the n-th derivative of the transform.

We are given the function \(g(t) = t^2e^{-6t}\cdot 1 \). Since the transform of the constant function 1 is 1/s, by applying the first property we get

\(L(e^{-6t}\cdot 1 ) = \frac{1}{s+6}\)

By applying the second property we get

\(L(g(t)) = L(t^2 e^{-6t} \cdot 1) = (-1)^2\frac{d^2}{ds^2}(\frac{1}{s+6}) = \frac{2}{(s+6)^3}\)

Answer:

i think it is c. i may be incorrect, i am sorry!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the math

Answer:

y= -2/5x-6

Step-by-step explanation:

y int is at -6

rise/run= -2/5

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

The coordinates for the point J are (-5, 6).

The radius 12 represents the center of the circle from each band member to the edge of the circle.

The domain of the circle is -17 ≤ x ≤ 7.

The range of the circle is -6 ≤ y ≤ 18.

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided above, we have the following equation of a circle:

x² + y² + 10x - 12y - 83 = 0

x² + 10x + y² - 12y = 83

x² + 10x + (10/2)² + y² - 12y + (-12/2)² = 83 + (10/2)² + (-12/2)²

x² + 10x + 25 + y² - 12y + 36 = 83 + 25 + 36

(x + 5)² + (y - 6)² = 144

(x + 5)² + (y - 6)² = 12²

Therefore, the center (h, k) is (-5, 6) and the radius is equal to 12 units.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-17, 7] or -17 ≤ x ≤ 7.

Range = [-6, 18] or -6 ≤ y ≤ 18.

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After evaluating the limit we have came to find that the limit of       \(\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}\) as x approaches 1 is −0.0625

In mathematics, a limit is the value that a function, sequence, or index approaches as an input or as an index approaches a specific value. Limits are crucial to calculus and mathematical analysis and are necessary for the definitions of continuity, derivatives, and integrals.

The idea of a limit of a sequence is further generalized to include the idea of a limit of a topological network, in addition to sharing a connection with the category theory concepts of limit and direct limit.

A limit of a function is typically expressed in formulas as

\({\displaystyle \lim _{x\to c}f(x)=L,}\)

To find the limit

⇒ \(\lim_{x\rightarrow 1 }\frac{x-2}{x^2-10x + 25}\)

Evalúe 2 as x

⇒ \(\frac{1-2}{1^2-10(1) + 25}\)

⇒ \(\frac{-1}{-9 + 25}\)

⇒ \(\frac{-1}{16}\)

⇒−0.0625

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f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.

The first derivative of the function is:

\(f'(x) = 4x^3 - 3x^2\)

The second derivative of the function is:

\(f''(x) = 12x^2 - 6x\)

Setting f''(x) equal to zero and solving for x gives:

\(12x^2 - 6x = 0\)

6x(2x - 1) = 0

This equation has two solutions:

x = 0, or x = 1/2

To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.

When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.

Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.

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Answer:

x = 8.8

General Formulas and Concepts:

Pre-Algerba

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

8.35x - 1.5 = 71.98

Step 2: Solve for x

Answer:

D)  0.49

Step-by-step explanation:

0.85 * 0.58 = 0.49

The probability is:

D  0.49

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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You cut out the question-

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Step-by-step explanation:

The coach of the field hockey team can spend at most $475 on new team uniforms. The coach will order the uniforms online and pay a mailing cost of $6.50. If each uniform costs $29, how many uniforms can the coach order?​

475 > 29u + 6.5

468.5 > 29u

16.155 > u

You cannot buy a partial uniform so round down to 16

The coach can purchase 16 uniforms without going over budget.

Answer:

-------------------------------------

Assumed the total possible cost is $475.

Set inequality and solve for x:

The greatest possible integer value of x is 16, hence the coach can order up to 16 uniforms.

The correct answer is $4.4

Explanation:

The cost per kilo of the bronze can be found by calculating the total price of the combination of metals and then dividing this by the total of bronze kilos. Now, let's first calculate the cost of copper and tin.

Copper:

$ 2.40 x 8.1 = $19.44

Tin:

$7.40 x 5.4 = $39.96

Total cost:

$19.44 + $39.96 = $59.4 (Total cost for the 13.5 kg of Bronze that combines tin and copper)

Finally, to find the price of a kilo of bronze divide the total cost into the kilograms of bronze.

$59.4 ÷ 13.5 = $4.4