A large group of workers is divided into three departments: those who work in special operations, those who work on the main floor, and those who work in management. Strep throat has been going around and a health inspector would like to know if there is a relationship between department and having strep throat. She selects a random sample of 100 workers and classifies each one according to their department and whether they have strep throat. The responses are displayed in the table.



The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Large Counts condition is not met.
Yes, all three conditions for inference are met.

The equations of each of the given lines are:

Line a is: x = -4

Line b is: x = 4

Line c is: y = 4

Line d is: y = -2

Line e is: y = -¾x + 1

If we determine the slope value, m, and the y-intercept value, b, the equation of a line can be written as y = mx + b in slope-intercept form by plugging in the values of the determined variables.

For a vertical line, the equation is expressed as x = b, where b is the x-intercept of the line.

For a horizontal line, the equation would be y = b, where b is the line's y-intercept value.

Equation of line a (vertical line):

The x-intercept is -4. This means that, the equation of line a is: x = -4

Equation of line b (vertical line):

The line's x-intercept is 4. To write the equation of the line, substitute the value of the x-intercept into x = b.

Therefore, the equation of line b is: x = 4

Equation of line c (horizontal line):

The y-intercept (b) = 4. Substitute the b = 4 into y = b.

The equation of line c is: y = 4

Equation of line d (horizontal line):

y-intercept (b) = -2. Substitute b = -2 into y = b.

Equation of line d is: y = -2

Equation of line e:

Slope (m) = rise/run = -3/4

y-intercept (b) = 1

To write the equation of the line, substitute m = -¾, and b = 1 in the equation y = mx + b

y = -¾x + 1

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Answer:

He will need to pay Josue back 40 dollars I did this question before mark me brainliest

Step-by-step explanation:

Based on the product of powers rule, the missing power in the given calculation is 2/3.

The product of powers rule is used in simplifying exponents. In a given term a^x, a number or variable raised to a power is called the base, while the superscript number is called the exponent, or power. According to the rule, if the bases are the same in the multiplication problem, it can be simplified by adding the exponents. Hence, for any number a and all integers m and n:

a^m * a^n = a^(m+n)

The given calculation is:

5^1/3*5^□ = 5

5^1/3*5^□ = 5^1

Hence, the sum of the powers would be one. Let the missing power be x. Therefore,

1/3 + x = 1

x = 1 - 1/3

x = 2/3

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Answer:

48

hope its right sorryyyy

Answer:

AB = 27cm

Step-by-step explanation:

Since the two rectangles are similar, we can write a proportion

(fraction = fraction)

to solve this problem. "Similar" means that the rectangles are exactly the same shape, but just different sizes. However, the ratios of the sides are equal.

You can compare like things, such as:

comparing corresponding sides: side/side or bottom/bottom

OR you could write a ratio comparing two sides of the small rectangle, such as: side/bottom and set that equal to the same ratio made from the big rectangle.

The big hint is to re-draw the picture where you draw the small shape and separately draw the big shape. Then you can see what measures correspond.

see image.

Write a proportion and solve by cross-multiplying.

see image.



Answer:

D

Step-by-step explanation:

Answer:

D. m∠UTV > m∠UTS > m∠STR

Step-by-step explanation:

the approximate probability that is at most 302 is 0, the approximate probability that is less than 107 is 1, and the approximate probability that is between 1 and 25 (inclusive) is 0.9219.

Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 thalts, and let X denote the number among these that are nonconforming and can be reworked. We are to find the approximate probability that X is at most 302, less than 107, and between 1 and 25 (inclusive).
Here, p = 0.10, q = 1 - p = 0.90, n = 200.

The probability that X is at most 302:
We can use the normal distribution to find this probability. The sample size is large, and the population proportion is known. The mean and variance of the binomial distribution are given by:

μ = np = 200 × 0.10 = 20
σ² = npq = 200 × 0.10 × 0.90 = 18

The normal distribution has a mean of μ = 20 and a standard deviation of σ = 4.2426 (square root of σ²). The z-score corresponding to X = 302 is:

z = (302 - 20) / 4.2426 = 69.97

Using a standard normal table or calculator, we find that the probability of Z ≤ 69.97 is essentially zero (to four decimal places). Therefore, the approximate probability that X is at most 302 is 0.

The probability that X is less than 107:
Using the same approach as in part (a), we have:
μ = np = 200 × 0.10 = 20
σ² = npq = 200 × 0.10 × 0.90 = 18
The z-score corresponding to X = 107 is:
z = (107 - 20) / 4.2426 = 19.53
The probability of Z ≤ 19.53 is very close to 1 (to four decimal places). Therefore, the approximate probability that X is less than 107 is 1.
The probability that X is between 1 and 25 (inclusive):
Here, we need to find the probability of 0 < X < 26. We can use the normal distribution as an approximation to the binomial distribution. The mean and standard deviation of X are:
μ = np = 200 × 0.10 = 20
σ = sqrt(npq) = sqrt(200 × 0.10 × 0.90) = 4.2426
The z-scores corresponding to X = 0 and X = 26 are:
z1 = (0 - 20) / 4.2426 = -4.714
z2 = (26 - 20) / 4.2426 = 1.414
Using a standard normal table or calculator, we find that the probability of Z ≤ -4.714 is essentially zero, and the probability of Z ≤ 1.414 is approximately 0.9219. Therefore, the approximate probability that X is between 1 and 25 (inclusive) is:
P(0 < X < 26) ≈ P(-4.714 < Z < 1.414) ≈ 0.9219 - 0 = 0.9219.
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The area bounded by the sin (100x² + 49y²) dA is calculated by using integration is 2π (1 - cos 1).

An area bounded by the curve: When the two curves intersect then they bound the region is known as the area bounded by the curve.

Evaluate the integral by making an appropriate change of variables.

The equation of the ellipse is 100x² + 49y² = 1

Let cos t = 10x and sin t = 7y. Then we have

or x = 1/10 cost , y = 1/7 sint.

Then

=> 100 (1/10cost)^2 + 49 (1/7 sint)^2 = 1

=> cos^2 t + sin^2t = 1 which suggests a change of variable will be:

\(\left \{ {{x(r,t) = r/10cost} \atop {y(r,t)=r/7sint}} \right.\)

where 0≤r≤1 and 0≤t≤2\(\pi\). Then we also have,

100x² + 49y² = r²

So,

=> ∫∫ sin (100x^2 + 49y^2)dA

     R

=> \(\\\)2 ∫2\(\pi\) ∫\(1\)  sinr^2 dr dt

       0     0

=> 4\(\pi\) ∫\(1\)  rsinr^2 dr

          0    

Now r² is replaced by r, then we get

=> 2\(\pi\) ∫\(2\)  sinr^2 d(r^2)

          0

=> - 2\(\pi\) cos r^2 \(\left \{ {{r^2=1} \atop {r^2=0}} \right.\)    

=> -2\(\pi\) (cos1-cos0)

=> -2\(\pi\) (-1 + cos1)

=> 2\(\pi\)(1-cos1)

Evaluating the integral by making an appropriate change of variables 2 sin(100x^2 + 49y^2) dA.

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Answer:

y + 5 = x

Step-by-step explanation:

y= 15 * 3x

Subtract 15 on both sides

y - 15 = 3x

Divide 3 on both sides

y + 5 = x

(I hope this helps and sorry if i'm wrong)

The critical value for this two-tailed test is 2.6759.

To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).

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Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

Answer:

I'm confused by the question.

Step-by-step explanation:

Without a diagram provided in the question, it is difficult to determine the angle measurement of m∠CED. However, we can use some general principles of geometry to provide a more general answer.

One principle that may be useful is the Angle Sum Property of Triangles, which states that the sum of the angles in a triangle is always 180 degrees. If we know the measures of two of the angles in a triangle, we can use this property to find the measure of the third angle.

Another principle that may be useful is the Vertical Angle Theorem, which states that vertical angles are always congruent. If we know the measure of one of the vertical angles, we can use this property to find the measure of the other vertical angle.

Alternatively, if a diagram is provided, we can use the given information to determine the measure of m∠CED. In a diagram, m∠CED could refer to an angle formed by two intersecting lines, a triangle, or any other geometric figure.

The angle measure of m∠CED could be labeled directly on the diagram, or we could use other known angles and geometric properties to find its measure.

In general, the process for finding the measure of an angle depends on the given information and the type of figure in question. By using relevant geometric principles and information, we can work towards finding the measure of an angle or any other unknown quantity in a given problem.

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In a real piping system there are always losses due to viscosity.

These losses cause a drop in total pressure but the static pressure remains the same.

The "K" factor (i.e. loss factor) for a sudden contraction and a rapid expansion in fully developed turbulent flow are 0.50 and 1.0.

A single pipe of known diameter, surface roughness and length joins two reservoirs and the free water surface between them is 57m.

We have to first guess the Reynolds number as the flow rate is unknown, then calculate a value for f and iterate to get the answer.

The effect of rounding a pipe inlet (where the fluid flows from a reservoir into the pipe) on the loss coefficient K will not change the coefficient. To minimize pressure losses in a venturi meter, the shape change from the inlet to the outlet must be fast change in, slow change out.Viscosity always causes losses in a piping system due to which there is a drop in total pressure.

The “K” factor for sudden contraction and rapid expansion is 0.50 and 1.0 respectively. The flow rate of a single pipe can be calculated by first guessing the Reynolds number, then calculating a value for f, and iterating to get the answer. Rounding a pipe inlet does not change the coefficient of loss.

To minimize pressure losses in a venturi meter, the shape change from the inlet to the outlet must be fast change in, slow change out.

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Answer:

2/3 gallons

Step-by-step explanation:

0.67 gallons or 2/3 gallons is used on the fence.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Amount of gallons = 2 gallons

The amount used on a fence.
= 1/3 of 2 gallons

Now,

1/3 x 2 gallons

= 2/3 gallons

= 0.67 gallons

Thus,

0.67 gallons or 2/3 gallons is used on the fence.

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Answer:

Step-by-step explanation:

Let R and G stand for the prices of rose bushes and geraniums, respectively.

We are told that:

Abhasra:  30R + 11G = $219

Lisa:  6R + 44G = $420

Two equations and two unknowns.  Eliminate one of the variables by substitution:

Let's start with

6R + 44G = $420

and try to eliminate the G.  We note that the first equation,  30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:

6R + 44G = $420

4*(30R + 11G = $219) = 120R + 44G = 876

Now subtract this equation from the first:

   6R + 44G =  $420

-120R - 44G = -$876

 -114R           =  -456

  R = 4:   Rose bushes are $4 each.

Now use R= $4 in either equation to find G:

6R + 44G =  $420

6($4) + 44G =  $420

 $24 + 44G =  $420

44G = $396

    G = :  Geraniums are $9.00 each.

The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)

From above, the x absciss of each ordered pair is termed as the domain of the relation.

So, set of domain = {−5, 0, 3, 4}]

Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

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Answer:

Step-by-step explanation:

The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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The difference between a value model of variables and a reference model of variables lies in how they handle data.

In a value model, variables store the actual values, while in a reference model, variables store references to the memory location where the values are stored. The distinction is important because it affects how data is shared and manipulated, impacting memory usage, performance, and behavior in programming languages.

In a value model of variables, each variable stores its own independent value. When assigning a value to a variable or passing it to a function, a copy of the value is made. This means that any modifications to the copied value do not affect the original value. Value models are commonly used in languages like C or Java, where variables represent the actual data.

In contrast, a reference model of variables stores references or pointers to memory locations where the values are stored. Instead of copying the value, the reference is copied, allowing multiple variables to refer to the same memory location and share data. Changes made to the data through one variable will be reflected in all variables referencing the same memory location. Reference models are often used in languages like Python or JavaScript, where variables act as references to objects.

The distinction between value and reference models is important because it impacts memory usage and performance. In a value model, each variable consumes its own memory space, which can be inefficient for large data structures or when passing data between functions. In a reference model, memory usage can be optimized as variables can share the same data, but it requires careful handling to avoid unintended side effects when modifying shared data.

Additionally, the distinction affects the behavior of programming languages. In a value model, modifying a variable does not affect other variables referencing the same value. In a reference model, modifications made through one variable are visible to all variables referencing the same memory location. This difference can lead to different programming patterns and requires developers to be aware of how data is shared and manipulated.

In summary, the difference between a value model of variables and a reference model of variables lies in how data is handled and shared. The distinction is important as it impacts memory usage, performance, and the behavior of programming languages. Understanding these models helps programmers choose the appropriate approach and avoid unintended consequences when working with variables and data.

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The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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The midsegment of AD (which in this case is DE) always generates two congruent parts (which in this case are AD and DB)

Answer:

aprox: 9 years?

Step-by-step explanation:

im sorry if this is wrong!

Step-by-step explanation:

please mark me as brainlest

Answer:

40%

Step-by-step explanation:

Answer:

it decreased by 40% percent.

Step-by-step explanation:

The answer to 32z - 48 using factoring is 3/2.

Given,

32z - 48

We have to find the answer using factoring:

Factoring:

Finding things to multiply together to produce an expression is known as factoring. It is comparable to splitting an expression into numerous smaller expressions.

Here,

32z - 48 = 0

Add 48 to both sides

32z - 48 + 48 = 0 + 48

32z = 48

Divide 32 on both sides

32z/32 = 48/32

z = 48/32

Now, we can factorize 48/32

Take 2 as common factor

(48/2) / (32/2) = 24/16

Again, take 2 as common factor

(24/2) / (16/2) = 12/8

Now, take 4 as common factor

(12/4) / (8/4) = 3/2

Here, z = 3/2

That is, the answer for 32z - 48 using factoring is 3/2.

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Answer:

560 is your answer... I hope it helps

Based on the provided information, the number of student expected to say that playing sports is their favorite hobby using proportions is 50 students.

Here, we have,

If 8 out of 24 students indicated that playing sports is their favorite hobby, then we can expect that the same proportions of students will say the same thing if we surveyed 150 students. The proportion of students that indicated playing sports as their favorite hobby in the initial survey = 8/24 and in second survey = x/150.

To find the expected number of students in the second survey who would say that playing sports is their favorite hobby out of 150 students, we can use cross multiplication:

8/24 = x/150

Cross multiplying gives us:

24x = 8*150

Dividing both sides by 24 gives us:

x = (8*150)/24

Simplifying gives us:

x = 50

Therefore, we can expect that 50 out of 150 seventh grade students would say that playing sports is their favorite hobby.

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The question is incomplete. The complete question probably is: Initially, 24 seventh grade students were surveyed and 8 indicated that playing sports is their favorite hobby. Suppose 150 seventh grade students were surveyed. How many can be expected to say that playing sports is their favorite hobby.