c g the diameters of bolts produced by a certain machine are normally distributed with a population mean of 0.600 inches and a population standard deviation of 0.002 inches. what is the probability that a randomly selected bolt will have a diameter greater than 0.604 inches? use 4 decimal places in answering.

Answer:

y = 1/2x - 3/2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define coordinates:

(-3, -3)

(1, -1)

Step 2: Find slope m

\(m=\frac{-1-(-3)}{1-(-3)}\)

\(m=\frac{-1+3}{1+3}\)

\(m=\frac{2}{4}\)

\(m=\frac{1}{2}\)

Step 3: Find y-intercept b

Step 4: Write linear equation:

Plug in the newly found b into the equation.

y = 1/2x - 3/2

rise/run = slope

slope = 2/4 = 1/2

y = 1/2x +b

now, choose a point on the line and substitute y for the y coordinate and x for the x coordinate -----------> i will use (1, -1)

-1 = 1/2(1) + b

-1 = 1/2 +b

subtract 1/2 from both sides

-3/2 = b

y = 1/2x - 3/2

Answer:

Here are the answers:

Step-by-step explanation:

C. 4.6x10^7 = 4.6x 10x10x10x10x10x10x10 = 46,000,000

D. 4.6x10x10x10x10x10x10x10

E. You Simplify your expression by mutiplying 10x10x10x10x10x10x10 to get rid of the exponent. You find the sum by multiplying 10x10x10x10x10x10x10 first. You get 10,000,000. Then Multiply 4.6 by 10,000,000. You should get 46,000,000. The sum is 46,000,000.

ANSWER

1/6 or 0.167 inches per minute

EXPLANATION

We want to find the constant rate of change of the water level.

To do this, we have to find the difference in water level, find the time taken, then divide the former by the latter.

Difference in water level is:

D = 28 - 13 = 15 inches

The time difference is:

H M

2 : 30

- 1 : 00

1 : 30

That is 1 hour 30 minutes.

In minutes, that is:

(60 * 1) + 30 = 60 + 30 = 90 mins

So, the constant rate of change of water level is:

That is the constant rate of change of water level.

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

percentage = 32%

From the question, we have

percentage  = ((2*f(.9))-1)/2

=((2*.816)-1)/2

=0.632/2

= 31.6%

= 32% (approx )

Percentage:

Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.

Complete question:

The percentage of area under the normal curve between the mean and -0.9 standard deviations from the mean is ____%. Round to the nearest integer as needed.

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Answer:

5026.55in²

Step-by-step explanation:

Area = πr^2

radius (r) is half of the diameter, hence the radius is 40 inches

So after plugging that in, the equation should look like

Area = π(40)^2

A = 1600π ≈ 5026.55

The units for this is in² so just add that in the end

When the number of participants of a two-way between-subjects factorial experimental design is 120, which is divided into 15 participants each group, it means that there are eight groups. Thus, there are two levels of the first factor, and since it's a two-way design, there are eight groups in total.

Then, the second factor must have four levels.How to arrive at the answer of four levels for the second factor?Assuming the first factor has levels A and B, thus the eight groups will have the following combinations:AA, AB, BA, BB, AA, AB, BA, BB.To calculate the second factor's levels, the following equation will be used:

Number of groups = number of levels of factor 1 × number of levels of factor 2Thus:Number of levels of factor 2 = number of groups ÷ number of levels of factor 1= 8 ÷ 2= 4Therefore, the answer is four levels for the second factor (option B).

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Answer:

b-11

Step-by-step explanation:

11 fewer meaning b-11

Answer:

creds to the other answer but yeah b-11

“b minus eleven “

Step-by-step explanation:

Answer:

Step-by-step explanation:

r=4 m

slant height l=5 m

surface area=πr²+πrl=πr(r+l)=π×4(4+5)=36 π m²≈113.1 m²

The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.

The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.

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Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

The answer is: There are 31 colored pencils in the box.

Answer:

Option 3. r=800m

Step-by-step explanation:

From the table we can see that with each addition of a month the cost raises 800 dollars. (9,10).

Answer:

The third one.) r = 800m

Step-by-step explanation:

800m = 800 × m

Ex. 800 × 2 = 1,600

800 × 5 = 4,000

and so on...

Answer:

12

Step-by-step explanation:

The probability of selecting a white-tailed deer that carries the Lyme disease bacteria is 1 in 10,000, or 0.0001. This means that out of every 10,000 white-tailed deer on the east coast, only one is expected to carry the Lyme disease bacteria.

If we assume that each deer in the population has an equal chance of carrying the bacteria, then the probability of selecting a deer that carries the bacteria can be calculated using the formula for probability:

Probability = Number of desired outcomes / Total number of possible outcomes

In this case, the number of desired outcomes is one (since we want to select a deer that carries the bacteria), and the total number of possible outcomes is the total number of white-tailed deer in the population. Since we don't know the exact number of deer in the population, we can assume that it is very large, so we can use an approximation:

Probability ≈ 1 / (Very large number)

Therefore, the probability of selecting a white-tailed deer from the east coast population that carries the Lyme disease bacteria is very close to 0.0001 or 1 in 10,000.

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Answer:

Mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  y -k = m(x -h)

Step-by-step explanation:

To translate a function right by h units, replace x with (x -h).

To translate a function up by k units, replace y with (y -k).

The translated function is ...

  y -k = m(x -h)

_____

Additional comment

You may recognize this as the "point-slope" form of the equation of a line. The "parent function" is the line through the origin with slope m:

  y = mx

The translation above makes it be a line through (h, k) with slope m.

The number of ounces of jam that all of the jar can hold is about  4 large jars and 2 small jars.

A matrix represents a mathematical entity or characteristic through a table or array of expressions, numbers, or symbols arranged in rows and columns.

So, from the given matrix in the question, one has to compare the equations, So we have:

l + 2s = 8    ...........(i)

l - s = 2      .............(ii)

Then do subtract the second equation from the first, to remove l

3s = 6

s = 2

So also substitute 2 for s in l - s = 2

l - 2 = 2

Then sum up the 2 to both sides

l = 4

Therefore, the number of ounces of jam that each jar can hold is about  4 large jars and 2 small jars.

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Answer:

x=17

Step-by-step explanation:

Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:

4x+8+104=180

First, combine like terms:

4x+(8+104)=180

4x+112=180

Next, subtract 112 from both sides:

4x+112(-112)=180(-112)

4x=68

Then, divide each side by 4:

4x(/4)=68(/4)

x=17

17 is your answer.

The smallest unit of matter is an atom. The fundamental building block of an element is an atom, which is made up of protons, neutrons, and electrons. This statement is true.

An atom is made up of a nucleus and one or more electrons that are bound to the nucleus. The nucleus is made up of one or more protons, a significant number of neutrons, and other particles. Only the most common form of hydrogen lacks neutrons.

An atom, which is the smallest part of a material, retains all of its properties. A molecule is made up of protons, neutrons, and electrons, which are the building components of matter. Protons and neutrons, which are the only particles in an atom that contribute to its atomic mass, are found in the nucleus of each atom. These early 20th-century discoveries of particles that  a nuclide itself and chemical components are explained by contemporary atomic theory.

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Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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The value of the equation 4 * n + 6 * t = 24 when solved is 2n + 3t = 12

From the question, the equation is given as

4 * n + 6 * t = 24

Divide through the equation by 2

So, we have the following representation

4/2 * n + 6/2 * t = 24/2

Evaluate the quotient in the above equation

So, we have the following representation

2 * n + 3 * t = 12

Evaluate the products in the above equation

So, we have the following representation

2n + 3t = 12

The above equation cannot be further simplified

Hence, the solution of the equation is 2n + 3t = 12

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To find the coordinates of points A and B, go to Desmos and graph the given equation.

The word gradient means slope.

The slope is the coefficient of x in the equation. See it?

The gradient is 2.

The ocean frontage for Lot to the nearest tenth of yard will be 33.3 yards.

Given:

Ocean footage for lot A: 100 feet

Here,

Let's assume that the ocean footage for lot A is given as 100 feet.

We will convert this measurement to yards to find the ocean footage to the nearest tenth of a yard.

To convert feet to yards, we divide the measurement by 3 since there are 3 feet in 1 yard.

Ocean footage in yards = 100 feet / 3 = 33.33 yards

Therefore, the ocean footage for lot A is 33.33 yards (to the nearest tenth of a yard).

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The number of small boxes purchased = 4

and the number of large boxes purchased = 9

According to the given question, a contractor needs to buy nails to build a house.

The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought a total of 13 boxes that have 3350 nails altogether.

Let x be the number of small boxes and y be the number of large boxes.

The contractor bought a total of 13 boxes that have 3350 nails altogether.

x + y = 13                     ...............(1)

50x + 350y = 3350              ..........(2)

We solve above system of equations.

From equation (1),

x = 13 - y             ...........(3)

Substitute x = 13- y in equation (2)

50(13 - y) + 350y = 3350    

650 - 50y + 350y = 3350

300y = 2700

y = 9

Substitute above value of y in equation (3),

x = 13 - 9

x = 4

Therefore, the number of small boxes purchased = 4

and the number of large boxes purchased = 9

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The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

[6x^2 + 7x - 20]

Step-by-step explanation:

(2x + 5)(3x - 4)

Utilize FOIL,

First

Outer

Inner

Last

2x * 3x = 6x^2

2x * -4 = -8x

5 * 3x = 15x

5 * -4 = -20

6x^2 - 8x + 15x - 20

Combine like terms:

[6x^2 + 7x - 20]