g the diameters of bolts produced by a certain machine are normally distributed with a population mean of 20.00 milimeters (mm) and a population standard deviation of 0.2 mm. what is the probability that a randomly selected bolt will have a diameter greater than 20.329 mm? use 4 decimal places in answering.

The missing side of the right triangle is b = 35.7

Remember that we know that for a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

Here we know that c is the hypotenuse, so we can write:

a^2 + b^2 = c^2

We also know that:

a = 13

c = 38

And we want to find the value of b, so we can write:

b^2 = c^2 - a^2

b = √(c^2 - a^2)

b =  √(38^2 - 13^2)

b = 35.7

That is the value of the missing side.

Learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

Answer:24

Step-by-step explanation: 4(4÷2 + 4) = 24/1 = 24

Spelled result in words is twenty-four.

Divide: 4 / 2 = 2

Add: the result of step No. 1 + 4 = 2 + 4 = 6

Multiple: 4 * the result of step No. 2 = 4 * 6 = 24

This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

Answer:

24

Step-by-step explanation:

We have to solve this according to BODMAS Theorem.

That is,

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Let us solve it now.

4 ( 4 ÷ 2 + 4 )

4 ( 2 + 4 )

4 × 6

24

The distance between the Trolley Train and the Silly Slide is 5 units. The  3rd option is the answer

From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)

The formula for finding the distance between the two points is given as:

d=√(x₂ – x₁)² + (y₂ – y₁))²).

where

x₁ = -2,

y₁ = -6 (Trolley Train)

x₂ = 2

y₂ = -3 (Silly Slide)

d = √((2 – (-2))² + (-3 – (-6))²)

d = √((4)² + (3)²)

d = √25

d = 5 units

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ1

Layla can make the box up to 5centimeter long.

       V = l x w x h

Here it is given that,

volume= 45cm³

width= 3cm

height=3cm

volume = width × height × length

45cm³=3cm×3cm×length

45cm³=9cm²×length

length=45cm³÷9cm²

          =5cm.

Hence, Layla can make the box up to 5centimeter long.

To learn more about volume of a box refer to:

https://brainly.com/question/463363

#SPJ1

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

Learn more about Variable from the link below

https://brainly.com/question/17344045

#SPJ1

Answer:

Step-by-step explanatihelpson:

is c hope it

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Mean = 10.5 and Total no. of females = 5 = random variable

Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)

Z = ( x- μ )

=  (σ / [tex]\sqrt{n}[/tex])

=  10.5 / 5

=  2.1

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

To know more about Probability and Statistics, check out:

https://brainly.com/question/10734660

#SPJ1

Answer:

y=7x

Step-by-step explanation:

Answer:

Step-by-step explanation:

0

Answer:

f(1/2) = 5 1/3

Step-by-step explanation

All you need to do is replace each x in the function with -1/2, and you have your answer!

Hope this helps :)

The rate was the temperature increased by 1 degree for every 1 hour that passed.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.

The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.

The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.

To learn more about the rate click here :

brainly.com/question/12786410

#SPJ1

Answer:

To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.

Explanation:

For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.

TRUE: The given condition is correct that m ≤ 10 and m > 4.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

To know more about the inequality of the numbers, here

https://brainly.com/question/19003099

#SPJ1

Answer:

The Bill Begins. Laws begin as ideas.

The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.

The Bill Is Introduced.

The Bill Goes to Committee.

The Bill Is Reported.

The Bill Is Debated.

The Bill Is Voted On.

The Bill Is Referred to the Senate

Step-by-step explanation:

ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.

When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.

Answer:137

Step-by-step explanation:

Alvarez received $200,000 which is 40% of the profit.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Given

Profit $500000

Alvarez owns 40% of the business.

Percentage

500000 × 40%

200000

Alvarez received $200,000 which is 40% of the profit.

To learn more about percentage, visit:

https://brainly.com/question/28269290

#SPJ1

Answer:

I can't see a solution from what you have given us

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

To know more about correlation measured visit

https://brainly.com/question/22921782

#SPJ4

Answer:

Below

Step-by-step explanation:

The volume will be the end AREA X Length

7 1/3 units^2  X  2 units =  14 2/3 units^3

The probability that the sample mean cholesterol level is greater than 205 is 0.62%.

To find the probability that the sample mean cholesterol level is greater than 205, we need to use the standard normal distribution and the formula for a normal distribution.

The sample mean cholesterol level, μ, is the population mean cholesterol level, 196, and the standard deviation of the sample mean, σ, is the standard deviation of the population divided by the square root of the sample size:

μ = 196

σ = 36 / √104 = 3.17

We want to find the probability that the sample mean cholesterol level is greater than 205, so we need to find the area under the curve of the standard normal distribution to the right of z = (205 - 196) / 3.17 = 2.5.

We can use the TI-84 calculator to find this probability by using the normal cdf function. In the function, we enter 2.5 as the lower bound and infinity as the upper bound to find the area under the curve to the right of z = 2.5.

The probability that the sample mean cholesterol level is greater than 205 is about 0.0062, or 0.62%.

To know more about standard normal distribution,

visit; brainly.com/question/13781953

#SPJ4

Applying the surface area of a rectangular prism, the number of square inches hat will be painted is, 346 in.².

The surface area of a rectangular prism = 2(wl + hl + hw), where:

The L-shaped piece of wood is composed of two rectangular prisms, therefore:

The square inches of paint needed = surface area of prism 1 + surface are of prism 2 - 2(area where both prism meet).

Prism 1 surface area:

l = 7 in.

w = 6 in.

h = 5 + 1 = 6 in.

Surface area = 2·(6·7+7·7+7·6) = 266 in.²

Prism 2 surface area:

l = 7 in.

w = 11 - 6 = 5 in.

h = 1 in.

Surface area = 2·(5·7+1·7+1·5) = 94 in.²

Area where both prism meet = (l)(w) = (7)(1) = 7 in.²

Number of square inches that needs to be painted = 266 + 94 - 2(7)

= 346 in.²

Learn more about rectangular prism on:

https://brainly.com/question/1015291

#SPJ1

Answer:

B

Step-by-step explanation:

To eliminate one of the variables from a system of equations, we can multiply one or both equations by constants and then add the equations together. In this case, the correct method to use is to multiply the first equation by 3 and the second equation by 4, and then add the equations together. This will eliminate the y-variable from the system of equations. Thus, the correct answer is option B: multiply the first equation by 3 and the second equation by 4, and then add the equations together.

The correct is option B (i.e.Multiply the first equation by 3 and the second

the equation by 4. Then add the equations.)

multiplying the first equation by 3 and the second equation by 4:

12x - 18y = 54

12x + 16y = 20

subtracting the first equation from the second equation:

     ( 12x - 18y = 54) - (12x + 16y = 20)

                     -2y = -34

                         y = 17

substituting y = 17 in the first equation:

4x - 6(17) = 18

4x = 106

x = 26.5

Learn more about ELIMINATING ONE VARIABLE:

brainly.com/question/10609245

Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.

In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.

In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:

Measure of angle Y = 38.25°

Measure of angle Z = 74.3°

Therefore:

The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z

Substitute

The measure of the exterior angle to angle X = 38.25° + 74.3°

The measure of the exterior angle to angle X = 112.55°

Learn more about exterior angles theorem on:

https://brainly.com/question/11356657

#SPJ1

The ingredient will the bakery department need in order to make 3 banana bread Loaves is 3/2 cup butter, 9/4 cup brown sugar, 6 eggs, 27/4 cups flour, 3 teaspoon baking soda, 3/4 teaspoon salt, and 9 ripe bananas.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The ingredient for the 1 loaf of bread,

Butter = 1/2 cups,

Brown sugar = 3/4 cups,

Eggs = 2,

Flour = 2 1/4 cups,

Baking soda = 1 teaspoon,

Salt = 1 / 4 teaspoon,

Ripe bananas = 3

To make 3 banana bread loaves, we have to multiply the ingredient by 3,

Thus, the ingredients for 3 3 banana bread loaves will be,

Butter = 1/2 × 3 = 3/2 cups

Brown sugar = 3/4 × 3 = 9/4 cups,

Eggs = 2 × 3 = 6,

Flour = 2 1/4 = 9 / 4 × 3 = 27 / 4 cups,

Baking soda = 1 × 3 = 3 teaspoons,

Salt = 1 / 4 × 3 = 3 / 4 teaspoons,

Ripe bananas = 3 × 3 = 9

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ1

Answer: 3 people

Step-by-step explanation:

1/5 of 30 will give us the number of students.

6

1/2 of 6, will give us the number of people who can use social media.

3 people.

the points of AA'B'C' is A'(4,0)  B'(5,-1)  C'(7,-2)

Solution:

x, y = 0

(x + 2, y - 3) = 0

x + 2 = 0

x = -2

y - 3 = 0

y = 3

AABC

A(2,3)  B(3,2)  C(5,1)

A: (2,3) → (2+2,3-3) = (4,0)

B: (3,2) → (3+2,2-3) = (5,-1)

C: (5,1) → (5+2,1-3) = (7,-2)

To learn more about points refer to:

https://brainly.com/question/7243416

#SPJ1