Acellus Geometry Question in Picture. Helpppp BRAINLIEST FOR CORRECT ANSWER

The probability that a bottle passes inspection and does not have a flaw is 0.9598067.

Let P(f) = 0.0002 be the probability of a bottle having a flaw, and P(s|f) = 0.993 be the probability of a bottle failing the inspection given that it has a flaw. Also, let P(s|~f) = 0.96 be the probability of a bottle passing the inspection given that it does not have a flaw. We want to find P(~f|s).

We can use Bayes' Theorem to find P(~f|s):

P(~f|s) = P(s|~f) * P(~f) / P(s)

P(s) = P(s|f) * P(f) + P(s|~f) * P(~f)

P(s) = 0.993 * 0.0002 + 0.96 * (1 - 0.0002)

P(s) = 0.0001986

P(~f|s) = 0.96 * (1 - 0.0002) / 0.0001986

P(~f|s) = 0.9598067

Therefore, the probability that a bottle passes inspection and does not have a flaw is 0.9598067.

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Expression to represent total amount Elijah will have in both accounts after two weeks is 60w + 973

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given,

Elijah opened a checking account with $588 and deposits $25 into it every week.

Expression for the amount in w weeks = 25w + 588

He opened another checking account with $385 and deposits $35 into it every week.

Expression for the amount in w weeks = 35w + 385

Total amount in both bank accounts in w weeks

= 25w + 588 + 35w + 385

Adding like terms

= 60w + 973.

Hence, expression, 60w + 973 represents the amount Elijah will have in both accounts after w weeks.

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The scale factor for the given dilation transformation is 1/3

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a triangle ABC is being dilated to form a new triangle A'B'C'

We are asked to the scale factor,

The length of sides of triangle ABC is 6 units

And, length of sides of triangle A'B'C' is 2 units,

Since, the figure id shrinking, therefore, the dilation is a reduction, and scale factor must be less than 1,

Scale factor = 2/6

= 1/3

Hence, the scale factor for the given dilation transformation is 1/3

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As a general rule of data ; a class is represented by Lower Limit to Upper Limit. So, by comparison. Lower Limit = 40 and Upper Limit - 60

The lower limit of the first class

The attached histogram has overlapping interval, and the intervals are:

40 to 60, 60 to 80, 80 to 100, and so on....

The first class data here is:

40 to 60

As a general rule; a class is represented by Lower Limit to Upper Limit.

So, by comparison.

Lower Limit = 40

Upper Limit - 60

and hence limit can also be calculated by checking the continuity of a function

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The distribution appears to be approximately bell-shaped and symmetric. The majority of the data falls between 40 and 80 units of hand grip strength, with the highest frequency occurring around 60 units.

The data appears to be unimodal, with a single clear peak in the middle. The distribution does not appear to be skewed to the left or right.

Overall, the distribution appears to be relatively normal, with the majority of the data falling within one or two standard deviations of the mean. This suggests that the data is relatively normally distributed and that the mean and standard deviation would be appropriate measures of central tendency and variability, respectively.

Overall, the histogram suggests that the data is relatively normally distributed. This means that the mean and standard deviation would be appropriate measures of central tendency and variability, respectively. Additionally, because the distribution appears to be relatively symmetrical, the median would also be a reasonable measure of central tendency.

It is worth noting that the histogram provides a visual representation of the data, but it does not provide exact measures of central tendency or variability. Therefore, to make any quantitative inferences about the data, it would be necessary to calculate these statistics based on the raw data.

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Data was collected on hand grip strength of adults. the histogram below summarizes the data. which statement is true about the distribution of the data shown in the graph?

A. There m have been a mistake made n data collection because the distribution should be bell shaped.

B. The graph is useless because it is bimodal

C. The graph shows that two different groups may have been combined into one collection

D. The best estimate of typical grip strength is 90 pounds because it is in the center of the distribution

Step-by-step explanation:

Multiplying the kites by 2 then adding 20

For 4 kites, 4 times 2 is 8. Adding 20 is 28

For 7 kites, 7 times 2 is 14. Adding 20 is 34

For 10 kites, 10 times 2 is 20. Adding 20 is 40

For the equation we have to multiply kites purchased by 2, so 2x. They also said to add 20, making it 2x + 20. Doing this will get the total cost, which they indicate as y

Equation; y = 2x + 20

600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

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The probability of landing on yellow is less than the probability of landing on blue.

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Explanation:

We have the following:

In short,

Normally the goal is to reduce the fractions, but in this case it's better to keep them as they are. This allows for easier comparisons of other fractions.

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

Now to look through the answer choices to see which are true, and which are false.

The value of the expression correct to 1 decimal place is P = 1.3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The given expression is, P = (t - w)/y.

Where, t = 9.7 correct to 1 decimal place, w = 5.9 correct to 1 decimal place

and y = 3 correct to 1 significant figure.

Therefore, P = (9.7 - 5.9)/3.

P = 3.8/3.

P = 1.26 or P = 1.3.

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The solution is, a. Climate change takes place at a constant rate over time.

Climate is the long-term weather pattern in a region, typically averaged over 30 years. More rigorously, it is the mean and variability of meteorological variables over a time spanning from months to millions of years.

here, we have,

A climate can be define as the average state of the everyday weather condition which remain probably stable for a period of 30 years. It is measured by various parameters like atmospheric pressure, temperature and humidity.

so,

On the basis of the above description, a.Climate change takes place at a constant rate over time. is the correct option.

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Probability: P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults).

The probability that a randomly chosen young adult has some education beyond high school but not a bachelor's degree would be:

P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults)

where "number of young adults with education beyond high school but not a bachelor's degree" refers to the count of individuals in the population who meet this criteria, and "total number of young adults" refers to the count of all individuals in the population who are considered young adults.

The formula calculates the probability of a certain event by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event is a randomly chosen young adult having some education beyond high school but not a bachelor's degree. The numerator, "number of young adults with education beyond high school but not a bachelor's degree," represents the favorable outcomes, while the denominator, "total number of young adults," represents all possible outcomes.

By dividing the favorable outcomes by the total number of possible outcomes, we get the probability of the event occurring, which is a value between 0 and 1. The closer the value is to 1, the higher the probability that the event will occur. The closer the value is to 0, the lower the probability that the event will occur. This formula allows us to quantify the likelihood of an event occurring in a population based on the available data.

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The conclusion abput the sum of the probabilities is that the sum for all outcomes in a sample space for the experiment is equal 1.

The sum of the probabilities for all outcomes in a sample space for an experiment must equal 1.

This is because the probability of an event is the number of favorable outcomes divided by the number of total outcomes in the sample space,

And since all outcomes are equally likely and mutually exclusive, the sum of their individual probabilities must equal 1.

Example:

Consider a fair die, the sample space S is the set of all possible outcomes {1, 2, 3, 4, 5, 6}.

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The number of possible orderings of appointments is 720.

The number of possible orderings of appointments can be calculated using the formula n!/(n-r)! where n is the number of teaching assistants (7) and r is the number of appointments (7). Therefore, the total number of possible orderings of appointments is 5040.

To explain this formula, we can think of it in terms of permutations. A permutation is an arrangement of a set of items in a specific order. In this case, the set of items are the 7 teaching assistants (4 men and 3 women). The number of possible permutations (orderings) of these 7 teaching assistants is 7!. This is because there are 7 possible choices for the first appointment, 6 for the second, 5 for the third, and so on. This simplifies to 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.

However, since each appointment is a unique one-time meeting, the order in which the teaching assistants are appointed does not matter, so the number of possible orderings of appointments is reduced to 7!/7 = 5040/7 = 720.

Therefore, in this case, the number of possible orderings of appointments is 720.

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a) The y - intercept of the graph is, 20.

b) The slope of the line is, - 4

c) The equation of line is, y = - 4x + 20

d) The cost of 3 comics = $8.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The graph shows a linear relationship between x and y, where x represents the number of comic books, all at the same price, Priya buys at the store, and y represents the amount of money (in dollars) Priya has after buying the comic books.

Now, By the graph;

Let two points on the graph are (5, 0) and (0, 20).

Since, The equation of line passes through the points (5, 0) and (0, 20).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (20 - 0) / (0 - 5)

m = 20 / - 5

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 0 = - 4 (x - 5)

⇒ y = - 4x + 20

Thus, The y - intercept of the graph = 20

Now, When Priya buy 3 comics, then the cost of comics are,

⇒ y = - 4x + 20

⇒ y = - 4 × 3 + 20

⇒ y = -12 + 20

⇒ y = $8

Thus, We get;

a) The y - intercept of the graph is, 20.

b) The slope of the line is, - 4

c) The equation of line is, y = - 4x + 20

d) The cost of 3 comics = $8.

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Answer:

C 0.63 > 0.48

Step-by-step explanation:

Not A, Because: 0.63 Is GREATER than 0.48 not less

Not B, Because: Like I said up top 0.63 is GREATER

Yes C, Because: 0.63 Is GREATER than 0.48

Not D, Because: 0.48 is LESS than 0.63

Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  [tex](5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}[/tex]

The expression that represents the length of the rectangular computer chip is 14ab².

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the area of the rectangular computer chip is 112a²b³ square microns. The expression that represents the length of the rectangular computer chip can be represented as follows:

Area of the rectangular computer chips = lw

where

Therefore,

w = 8ab microns

Hence,

Area of the rectangular computer chips =112a²b³

112a²b³  = 8ab × length

Therefore, let's divide both sides of the equation by 8ab

length = 112a²b³  / 8ab

length of the rectangular computer chip = 14ab²

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The probability that a roll chosen at random and utilized by the manufacturer has problems is 0.032.

Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics. Probability is a mathematical representation of the likelihood or potential that an event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics.

So, the probability

[tex]=\frac{80}{100}*0.03+\frac{20}{100}*0.04\\=0.8*0.03+0.2*0.04\\=0.024+0.008\\=0.032[/tex]

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b.

because if you use math it tells you b

Integers between, but not including, 20 and 30 have a prime factorization with exactly 3 factors is 0 integers.

To find the integers between 20 and 30 with a prime factorization with exactly 3 factors that are not 1, we can start by listing out all the prime numbers up to 30.

The prime numbers up to 30 are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

Next, we can list out all the integers that have exactly 3 factors in their prime factorization that are not 1. This can be done by finding all the products of exactly 3 primes. For example, the product of

2 * 3 * 5 = 30 has 3 prime factors.

However, 30 is not between 20 and 30, so we need to find another example.

The product of 2 * 3 * 7 = 42 is not between 20 and 30 either, so we need to keep finding examples until we find one that falls between 20 and 30.

The product of 2 * 5 * 7 = 70 is too large, but the product of 2 * 3 * 5 = 30 is between 20 and 30, so we have found one example.

We can continue this process to find all the examples and count how many there are. In this case, there is only 1 example, so the answer is 1.

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The pattern associated with the scatter plot is given as follows:

There is a positive nonlinear association.

The scatter plot shows a series of points in (input, output) format, in which the input is the time studying in minutes and the output is the grade.

As the increasing graph shows, the more a person studies, the better the grade, hence there is a positive relationship among the variables.

The increase is slow initially while it has a higher rate for a higher number of minutes, hence the association is also nonlinear.

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Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.

A whole can be represented by any class of similar sums or fractions. A fraction is used to express the amount of a particular size in standard English. 8, 3/4. Fractions are also wholes. In mathematics, numbers are represented by the fraction to numerator ratio. All of these fractions are simple integers. The fraction of a challenging fraction contains a fraction. due to the variations in actual fraction calculations, numerators, and numerators.

Here,

Given :

=> new job 2 weeks

=> amount = $875

35 hours work per week

So,

Per hour she get paid is :

=> 875/35

=> 25

Thus,

$25 she get paid.

Therefore , the solution of the given problem of fraction comes out to be $25 she get paid per hour.

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The required two column proof is explained below.

When a set of three points 1, 2 and 3 are arranged on a straight path, then a betweenness relationship holds that the addition of segments joining points 1 to 2, and 2 to 3 is the same as segment 1 to 3.

These points divide the line segment joining 1 to 3 into parts.

Considering the given guide, the two column proof required is explained thus:

     STATEMENT                                          REASON

1. BC = EF                                                   Given

2, AC = AB + BC                                        Betweenness

3. AC > BC                                                 Part of a line segment

4. AC > EF                                                  Addition property of a segment

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If a cube is rolled 24 times and lands on 2 four times and on 6 three times , then the experimental probability of not landing on a "6" is 0.171   .

on a cube there are total 6 outcomes ,

the probability of getting "2" on a single cube is = P(2) = 1/6  ;

the probability of getting "6" on a single cube is = P(6) = 1/6  ;

the probability of the cube not landing on 6 is = P'(6) = 5/6  ;

Since the cube is rolled 24 times , the experimental probability of not landing on "6" is

⇒ P(not 6) = ²⁴C₅×(1/6)⁵×(5/6)¹⁹ ;

On simplifying ,

we get ;

⇒ P(not 6) = 0.171  .

Therefore , the experimental probability of not landing on a 6 is 0.171  .

The given question is incomplete , the complete question is

A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6 .

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Answer:

Step-by-step explanation:Find the GCD (or HCF) of numerator and denominator GCD of 2 and 3 is 1

Divide both the numerator and denominator by the GCD 2 ÷ 1 3 ÷ 1

Reduced fraction: 2 3 Therefore, 2/3 simplified to lowest terms is 2/3.

After 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.

To find the rate at which the distance between Jasmine and Ron is increasing after four hours, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the distance between them and their respective speeds.

The distance between them after 4 hours is given by the square root of the sum of the squares of their respective distances traveled:

[tex]\sqrt{((42 * 4)^2 + (56 * 4)^2)}[/tex]

The rate at which this distance is increasing is equal to the magnitude of the velocity vector of their relative motion, which can be found using the hypotenuse formula:

[tex]\sqrt{(42^2 + 56^2)} = \sqrt{(2916) }= 54 mi/h[/tex]

So, after 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.

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The required match of the sentence to the correct vocabulary has been shown below.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

Here,

1. If x is not a rational number, it must be a(n) irrational number.

2. 0.7 is a rational number.

3. x is a terminating decimal, so it must also be a rational number.

4. A decimal that ends in zero is a terminating decimal.

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A property which is represented by the equation above is

The Associative Property of Addition states that when three (3) numbers are added, the end result would always be the same regardless of the way the numbers are grouped.

Generally speaking, the Associative Property of Addition allows the addends to be re-grouped without causing a change in the result, output, or outcome.

By applying the Associative Property of Addition, we have the following;

1/3 + (2/3 + 1/7) = (1/3 + 2/3) + 1/7

8/7 = 8/7

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The decimal with the bar is 4.1[tex]\over6[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

25/6

= 4.16666666

6 is the repeating number so we put the bar on 6.

= 4.1[tex]\over6[/tex]

Thus,

The decimal is 4.1[tex]\over6[/tex].

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As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:

A = 2π ∫ y dx

where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.

In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:

A = 2π ∫_9^20 8√x dx

This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:

A = 2π ∫_3^4 8u * 2u du

= 2π * 8 * ∫_3^4 u^2 du

= 2π * 8 * [u^3/3]_3^4

= 2π * 8 * (64/3 - 27/3)

= 2π * 8 * (37/3)

= 864π

So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.

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