write an absolute value inequality for each graph explain pls?

Answer:

-2=x

Step-by-step explanation:

-17=x-15

Add 15 on both sides

-2=x

The solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

When a transversal cuts two parallel lines, some of the angles become congruent.

From the given diagram, the given angles are equal according to the vertical angles theorem.

Both angles are vertically opposite become they meet at a point of intersection.

Hence 5b = b + 56

5b - b = 56

4b = 56

b = 56/4

b = 14

Hence the solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

Learn more on angles here: https://brainly.com/question/16810065

The interpretation of the 1001 measurements in the third set of data vary due to reasons are as follow,

Measurement error, Random variation and Sampling error.

Measurement error: The measurand being measured may have inherent variability, but measurement error can also contribute to variation in the data set.

Random variation: Even if the same measurand is being measured under the same conditions, there may be random fluctuations in the system or the environment that can cause variation in the data.

Sampling error: If the 11 measurements were not taken at random from the population of interest, then the variation could be due to sampling error.

For the 1001 measurements in the second and third data sets, some possible explanations for the variation could be measurement error, systematic variation, changes in the measurand and Sampling error.

Thus, variation in data can have many different causes, and it is important to carefully consider the context and specific factors that may be contributing to the variation when interpreting the results.

Learn more about the Measurement:

brainly.com/question/28109798

#SPJ4

Answer:

the second one

Step-by-step explanation:

Answer:The probability of the complement of an event is one minus the probability of the event. Since the sum of probabilities of all possible events equals 1, the probability that event A will not occur is equal to 1 minus the probability that event A will occur.

Step-by-step explanation:Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

Answer:

5 could be the common denominator

Step-by-step explanation:

To find the total cost of all the digits needed to number the lockers from 1 to 800, we need to first count how many digits we will need.

There are 9 single-digit numbers from 1 to 9, which each require one digit.

There are 90 two-digit numbers from 10 to 99, which each require two digits.

There are 700 three-digit numbers from 100 to 800, which each require three digits.

So the total number of digits we need is:

9(1) + 90(2) + 700(3) = 9 + 180 + 2100 = 2289

Each digit costs 10 cents, so the total cost will be:

2289 digits × $0.10/digit = $228.90

Therefore, the total cost of all the digits needed to number the lockers is $228.90.

Answer:

129 tourists

Step-by-step explanation:

Let 'A' represent the tourists that visited LEGOLAND, let 'B' represent the tourists that visited Universal Studios, and let 'C' represent the tourists that visited Magic kingdom

The total number of tourists, n = 1,076

The number of tourist surveyed that visited only LEGOLAND = A∩B'∩C' = 297 tourist

The number of tourist that visited only Universal studios, B∩A'∩C' = 275 tourist

The number of tourist that visited both the Magic Kingdom and LEGOLAND, A ∩ B' ∩ C = 85 tourist

The number of tourist that visited both the Magic Kingdom and Universal Studios, A' ∩ C ∩ B = 88 tourists

The number of tourist that visited both the LEGOLAND and Universal Studios, A ∩ B ∩ C' = 73 tourist

The number of tourist that visited all three theme parks, A ∩ B ∩ C = 34 tourist

The number of tourists that did not visit any of these theme parks = 95 tourists

In set theory, we have for three sets

A ∪ B ∪ C = A∩B'∩C' + B∩A'∩C' + C∩A'∩C' + A ∩ B' ∩ C + A' ∩ C ∩ B + A ∩ B ∩ C' + A ∩ B ∩ C

A ∪ B ∪ C = 1,076 - 95 = 981

∴ The number of tourists that only visited Magic Kingdom, 'C∩A'∩C' ', is given as follows;

C∩A'∩C'  = A ∪ B ∪ C - (A∩B'∩C' + B∩A'∩C' + A ∩ B' ∩ C + A' ∩ C ∩ B + A ∩ B ∩ C' + A ∩ B ∩ C)

∴ C∩A'∩C' = 981 - (297 + 275 + 85 + 88 + 73 + 34) = 129

The number of tourists that only visited the Magic Kingdom, C∩A'∩C' = 129 tourist

They will be 340 miles apart

Here, we want to calculate the distance between these two

We will need a triangular representation of this;

As we have a right triangle, the distance between the two is the hypotenuse

So, we will use Pytahgoras' theorem here;

This states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the distance between the two as D

Answer:

3/50

Step-by-step explanation:

for one its 3/10

for the other one is 3/10 too bc u replaced it

so u multiply 3/10 by 3/10 which is 6/100 which is simplify to 3/50

hope this helps

The probability that a sample of five parts from a production process that produces 3% defective parts contains exactly two defective parts is approximately 0.2834.

To find this probability, we can use the binomial probability formula:

P(X = 2) = (5 choose 2) * 0.03^2 * (1 - 0.03)^3

Where "X" is the number of defective parts in the sample, "5 choose 2" represents the number of ways to choose 2 defective parts out of 5, and 0.03 and (1 - 0.03) represent the probabilities of selecting a defective and non-defective part, respectively.

Using a calculator, we can simplify and compute:

P(X = 2) = (5 choose 2) * 0.03^2 * 0.97^3

= 10 * 0.0009 * 0.9127

≈ 0.0081

Therefore, the probability is approximately 0.0081 or 0.81%.

To know more about probability, refer here:

https://brainly.com/question/29964401#

#SPJ11

15 : 5 = 15 : 5

15 : 5 =  1 : 0.33333333333333

=  3 : 1

=  3 : 1

15

15 + 5

= 75%

Answer:

B

Step-by-step explanation:

15:5 compares wins to losses and 15:22 compares wins to games.

The given functions in GeoGebra and determine by analytically checking:

a. function type is \(f(x) =\frac{2x^2-4}{x^2-4}\)

b. Domain and range Range (-2, +2).

c. Asymptotes is HA = 2 and VA = ±2

The function y = f( x) is classified into different types of functions, grounded on factors similar as the sphere and range of a function, and the function expression. The functions have a sphere x value that's appertained as input. The sphere value can be a number, angle, numeric, bit.

\(f(x) =\frac{2x^2-4}{x^2-4}\)

Functions in mathematics can be compared to the operations of a dealing (soda pop) machine. When you put in a certain quantum of plutocrat, you can elect different types of tonics. also, for functions, we input different figures and we get new figures as the result. sphere and range are the main aspects of functions.

\(f(x) =\frac{2x^2-4}{x^2-4}\)

x² = 4

x = ± 2

Range (-2, +2).

An asymptote is a line being approached by a wind but noway touching the wind. i.e., an asymptote is a line to which the graph of a function converges. We generally don't need to draw asymptotes while graphing functions. But graphing them using dotted lines( imaginary lines) makes us take care of the wind not touching the asymptote. Hence, the asymptotes are just imaginary lines.

Learn more about GeoGebra:

https://brainly.com/question/28987935

#SPJ4

Complete question:

Represent the given functions in GeoGebra and determine by analytically checking: a. function type b. Domain and range c. Asymptotes, both vertical and horizontal, if it has them:

Given the relationship between the random variables X and Y, Y = 7.00X + 8.34, and the properties of X (mean of zero and variance of 1), the expected value of Y^2 is 118.5556.

We can find the expected value of Y^2.
First, let's find the mean (expected value) of Y. Since the mean of X is zero, E(Y) = 7.00 * E(X) + 8.34 = 7.00 * 0 + 8.34 = 8.34.
Next, let's find the variance of Y. The variance of Y, Var(Y), can be determined by the relationship Var(Y) = a^2 * Var(X), where a is the coefficient of X (in this case, 7.00). So, Var(Y) = 7.00^2 * 1 = 49.
Now, we can find the expected value of Y^2 using the formula E(Y^2) = Var(Y) + E(Y)^2. Plugging in the values, E(Y^2) = 49 + 8.34^2 = 49 + 69.5556 = 118.5556.
Therefore, the expected value of Y^2 is 118.5556.

To know more about Variance visit:
https://brainly.com/question/14116780
#SPJ11

The value of c for which the function f(x) = {x² - 5 if x ≤ c, 4x - 9 if x > c} is continuous everywhere is c = 2 ± 2√2.

For the function to be continuous everywhere, the two cases of the function need to meet at the point where x = c. In other words, we need to find the value of c where x² - 5 = 4x - 9.

Setting the two cases equal to each other:

x² - 5 = 4x - 9

Rearranging the equation:

x² - 4x - 4 = 0

To find the value of c, we solve this quadratic equation for x. Using the quadratic formula, we have:

x = (4 ± √(4² - 4(-4)))/(2)

Simplifying further:

x = (4 ± √(16 + 16))/(2)

x = (4 ± √(32))/(2)

x = (4 ± 4√2)/(2)

x = 2 ± 2√2

Therefore, the value of c that makes the function f(x) continuous everywhere is c = 2 ± 2√2.

Learn more about function  here:

https://brainly.com/question/30721594

#SPJ11

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

Learn more about Constraints:

https://brainly.com/question/3469433

#SPJ11

Answer:18.75

Step-by-step explanation:

The tangent line and the radius are perpendicular. and the value of x is 8

The correct answer is B. The tangent line and the radius are perpendicular.

In a circle, the tangent line at a point on the circle is perpendicular to the radius drawn to that point. This is a fundamental property of circles.

The value of x is calculated as

9 * x = 12 * 6

So, we have

9x = 72

Divide

x = 8

Hence, the value of x is 8

Read more about circles at

https://brainly.com/question/25871159

#SPJ1

According to the Wechsler scales, the middle 50% of scores fall within the broad average range. This means that half of the test-takers will score within this range.

The broad average range is typically defined as having a standard score between 90 and 109. Standard scores are based on a mean of 100 and a standard deviation of 15.

To explain further, the Wechsler scales use a standardization process to compare individual scores to the scores of a representative sample of the population. This allows for a meaningful interpretation of an individual's performance relative to others. The middle 50% range is a measure of dispersion, indicating where the majority of scores fall.

The Wechsler scales provide a useful way to interpret and compare scores on cognitive tests. The middle 50% range offers a reliable indicator of the average performance level, with scores falling between 90 and 109.

It is important to note that the interpretation of scores should always be considered within the context of the specific test and the individual being assessed.

To know more about standard deviation :

brainly.com/question/13498201

#SPJ11

im pretty sure the answer is 18

The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

Learn more about side here

https://brainly.com/question/17145398

#SPJ11

An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

The drilling rig will reach a depth οf -250 feet after 100 hοurs οf cοntinuοus use.

Time is a measure οf the duratiοn between twο events, while distance is the amοunt οf space between twο pοints οr οbjects.

We can start by figuring οut the rate at which the drilling rig is digging. We knοw that it dug a height οf -60 feet in 24 hοurs, sο its rate is:

-60 feet / 24 hοurs = -2.5 feet/hοur

This means that the rig is digging dοwnwards at a rate οf 2.5 feet per hοur.

Tο find οut hοw lοng it will take fοr the rig tο dig tο a depth οf -250 feet, we can use the fοllοwing fοrmula:

time = distance / rate

We want tο dig a distance οf 250 feet (since we're measuring depth belοw grοund level), and οur rate is -2.5 feet per hοur (since we're digging dοwnwards). Plugging these values intο the fοrmula gives:

time = 250 feet / (-2.5 feet/hοur)

Simplifying, we get:

time = -100 hοurs

Since time can't be negative, this tells us that the drilling rig will reach a depth οf -250 feet after 100 hοurs οf cοntinuοus use.

To learn more about Time and Distance from the given link

https://brainly.com/question/13269893

#SPJ1

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2 Now give me brainliest plz

The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer: 5/13

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

5/13

Hope this helps!

Answer:

C = 112.098yds

Step-by-step explanation:

Where finding the circumference so do pi times diameter.

C = 3.14×d

C = 3.14×35.7

C = 112.098yds