There are 453 students at Alexander II Elementary School, of which 80 are 5th graders. The flu has been spreading among all of the other grades aside from the 5th grade. The probability that a student is not in the 5th grade and gets the flu is 30%. Given that the student is not in the 5th grade, what is the probability they get the flu?

The charge contained in a section of the line of length 2.80 depends on the charge density of the line. The charge density is the amount of charge per unit length. To find the charge contained in a section of the line of length 2.80, you need to multiply the charge density by the length of the section.

For example, if the charge density of the line is 3 coulombs per meter, then the charge contained in a section of the line of length 2.80 meters is:

Charge = Charge density × Length
Charge = 3 coulombs/meter × 2.80 meters
Charge = 8.4 coulombs

Therefore, the charge contained in a section of the line of length 2.80 is 8.4 coulombs.

I hope this helps! Let me know if you have any further questions.

Learn more about density

https://brainly.com/question/29775886

#SPJ11

Answer:

b = 0 c = 9

Step-by-step explanation:

Answer:

b=0 c=9

Step-by-step explanation:

By evaluating the given function we will get the complete table is:

x: -2  |  -1  | 0 |  1  | 2

y: -11 |  0  |  5 | -2 |  -27

Here we have the function:

y = -x³ - 6x² + 5

and we want to compete the given table, to do so, we need to evaluate the function in the given values of x.

We will get that:

A is the value when we evaluate in x = -2, so we will get:

A = -(-2)³ - 6(-2)² + 5

A = 8 - 24 + 5 = -11

B = -0³ - 6*0² + 5 = 5

C = -2³ - 6*2² + 5

C = -8 - 24 + 5 = -27

Then the complete table is:

x: -2  |  -1  | 0 |  1  | 2

y: -11 |  0  |  5 | -2 |  -27

Learn more about evaluating functions at:

https://brainly.com/question/1719822

#SPJ1

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

Learn more about sampling methods here:

https://brainly.com/question/15604044

#SPJ4

\( \large \bf \implies{x = 24 \degree \: and \: y = 15 \degree}\)

\( \bf \longrightarrow(6x - 7 ) \degree+ (3x - 29) \degree = 180 \degree \\\bf \longrightarrow (9x - 36) \degree = 180 \degree \\\bf \longrightarrow 9x = 180 \degree + 36 \degree \\\bf \longrightarrow 9x = 216 \degree \\\bf \longrightarrow x = \frac{ \cancel{216} \degree}{ \cancel{9} } \\\bf \longrightarrow \boxed{ \bold{ x = 24 \degree}}\)

\( \red{ \rule{7cm}{0cm}}\)

\(\bf \longrightarrow(8y + 17) \degree = (6x - 7) \degree[Vertical \: angles] \\\bf \longrightarrow 8y = 6 \times 24 - 7 - 17 \\ \bf \longrightarrow8y = 144 - 24 \\\bf \longrightarrow 8y = 120 \\\bf \longrightarrow y = \frac{ \cancel{120}}{ \cancel{8} } \\\bf \longrightarrow \boxed{ \bold{y = 15 \degree}}\)

Step-by-step explanation:

f(x) = 9 - 2|x + 2|

When x = 7, f(-7) = 9 - 2|(-7) + 2|

= 9 - 2|(-5)|

= 9 - 2(5)

= 9 - 10

= -1.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Put -7 where x is and do the arithmetic.

 f(-7) = 9 -2|-7+2|

  = 9 -2|-5| = 9 -2·5 = 9 -10

  f(-7) = -1

Answer:

f(-x) = -x^5 + 6x^4 - 2x^3 - x^2 + 3x - 9

Step-by-step explanation:

f(-x) is simply f(x) evaluated at -x instead of x. When you replace x with -x in the original function, you get a new function, f(-x), which takes -x as input and outputs the result. In this case, f(-x) = -x^5 + 6x^4 - 2x^3 - x^2 + 3x - 9.

Hope this helps!

Answer: x values is domain. y values is range

Step-by-step explanation:

The domains of a function is all the allowed x values

The range of the function is the y values that the x input gives you

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To know more about hexagonal prism visit:

https://brainly.com/question/10726499

#SPJ11

The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64

Therefore, \(h = \sqrt{(12.25 - x^2)} = 3.73\) feet represents the distance between the two staircases on the tree. Thus, option c is correct.

The Pythagorean theorem states that the square length of the hypotenuse, or the side that faces the right angle, of a right triangle is equal to the sum of the square lengths of the other two sides. The following can be expressed mathematically: \(a^2 + b^2 = c^2\) where "c" represents the length of the hypotenuse and "a" and "b" represent the measurements of the two sides of the right triangle.

given

Assume the tree is h feet tall, the higher ladder is 3 feet long, and the lower ladder is x feet long.

Using the Pythagorean formula, we can create two equations:

With regard to the narrower staircase,  x² + h² = (3.5)

Use the formula for the higher ladder. (3x)²+ h²= (7.5)².

The formulas are as follows, simplified: 12.25 x² + 9.25 x² + 56.25

To remove h2, we can solve for x in the first equation and y in the second equation: 8x² = 44.

Finding the value of x is as follows:   \(x = \sqrt{(5.5) } = 2.34\)

Therefore, \(h = \sqrt{(12.25 - x^2)} = 3.73\)  feet represents the distance between the two staircases on the tree.

To know more about Pythagorean theorem visit:

brainly.com/question/14930619

#SPJ1

Complete question:

Two ladders are placed at different locations on a coconut palm tree so that lights can be installed, as pictured below. The length of the taller ladder is three times the length of the shorter ladder. The shorter ladder is placed 3.5 feet from the base of the tree while the taller ladder is placed 7.5 feet from the base of the tree. What is the distance on the tree between the two ladders?

O 4.59 feet

O 9.78 feet

O 3.73 feet

O 8.96 feet

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

This study can be best described as Controlled Placebo Experiment

What is a Controlled Placebo Experiment?

A controlled placebo experiment is a type of research method that is used to check the effectiveness of a drug in a patient. This is done by selecting a sample group, then randomly divide the two group into a placebo group (this are the group that will receive the drug treatment ) and the controlled group (these are the group that will receive a colored mixture that looks like the drug, but does not have any effect). Without the groups knowledge about the real drugs and the colored mixture, but are followed up and tested.

According to the given question:

This is a controlled placebo experiment, because 400 student has been chosen as the sample, and are divided into a placebo group and a controlled group, to check the effectiveness of a drug on their memory.

To know more about experiment visit

https://brainly.com/question/13085569

#SPJ4

Answer:

a) The cost of buying x bottles of water is represented by the equation v = 0.50x, where v is the cost in dollars and x is the number of bottles of water. The gradient of this equation, which is 0.50, represents the cost per bottle of water.

b) The total cost of buying one bottle of water per day for a year (365 days) is 365 * 0.50 = $182.50.

c) If a refillable water bottle costs $40, then a person would have to drink 40 / 0.50 = 80 bottles of water in order for the refillable water bottle to be more cost effective.

d) Some factors that might influence someone's decision to carry their own water bottle or to buy bottled water include convenience, availability of clean drinking water, personal preference, and environmental impact.

Yes, there is sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

Null hypothesis: The valve produces a mean pressure of 4.8 lbs/square inch.

Alternative hypothesis: The valve does not produce a mean pressure of 4.8 lbs/square inch.

To test this hypothesis, we can use a one-sample t-test. Using the given information, we can calculate the test statistic:

t = (4.9 - 4.8) / (0.6 / sqrt(100)) = 1.67

Using a t-distribution table with 99 degrees of freedom and a significance level of 0.02, we find the critical value to be ±2.602. Since the absolute value of the test statistic (1.67) is less than the critical value (2.602), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the valve does not perform to the specifications.

In other words, based on the given sample of 100 engines, we cannot conclude that the valve is not producing the desired mean pressure of 4.8 lbs/square inch. However, it's important to note that this conclusion is based on a specific sample and may not generalize to all situations. It's always important to consider the limitations and assumptions of statistical tests.

Learn more about level here: brainly.com/question/14486795

#SPJ11

To verify that { ¯ u1, ¯ u2 } forms an orthogonal set, we need to show that their dot product is zero. Let ¯ u1 =  and ¯ u2 = . Then, their dot product is:
¯ u1 · ¯ u2 = a1a2 + b1b2 + c1c2

If this dot product is zero, then the vectors are orthogonal. So, we need to solve the equation:
a1a2 + b1b2 + c1c2 = 0
If this equation is true for our given vectors ¯ u1 and ¯ u2, then they form an orthogonal set.
To find the orthogonal projection of ¯ v onto w = span{ ¯ u1, ¯ u2}, we can use the formula:
projw ¯ v = ((¯ v · ¯ u1) / (¯ u1 · ¯ u1)) ¯ u1 + ((¯ v · ¯ u2) / (¯ u2 · ¯ u2)) ¯ u2
where · represents the dot product.
So, we first need to find the dot products of ¯ v with ¯ u1 and ¯ u2, as well as the dot products of ¯ u1 and ¯ u2 with themselves:
¯ v · ¯ u1 = av a1 + bv b1 + cv c1
¯ v · ¯ u2 = av a2 + bv b2 + cv c2
¯ u1 · ¯ u1 = a1 a1 + b1 b1 + c1 c1
¯ u2 · ¯ u2 = a2 a2 + b2 b2 + c2 c2
Then, we plug these values into the formula to get the projection:
projw ¯ v = ((av a1 + bv b1 + cv c1) / (a1 a1 + b1 b1 + c1 c1)) ¯ u1 + ((av a2 + bv b2 + cv c2) / (a2 a2 + b2 b2 + c2 c2)) ¯ u2
This is the orthogonal projection of ¯ v onto w.

Learn more about orthogonal here

https://brainly.com/question/28453791

#SPJ11

Answer: we need the immage

Step-by-step explanation:

Answer: {x|4<x<10}

Step-by-step explanation:

Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

To learn more about rate, visit:

https://brainly.com/question/199664

#SPJ1

Answer:

B. no, the relation is not a function

Step-by-step explanation:

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

x=−3 and y=−1

Step-by-step explanation:

Substitute y=4x+11y=4x+11 into 2x-5y=-12x−5y=−1

-18x-55=-1−18x−55=−1

Solve for x in -18x-55=-1−18x−55=−1.

x=-3

Substitute x=-3x=−3 into y=4x+11y=4x+11.

y=-1

Answer:

28

Step-by-step explanation:

2x-5(4x+11)=-1

2x-20x+55=-1

-22x+55=-1

-22x+55-55=-1-55

-22x/-22=-56/-22

x=28

The x-intercept is (-9, 0) and there is no y-intercept (option b).

To determine the x- and y-intercepts for the graph defined by the equation x = -9, we need to understand the concept of intercepts. The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis.

Given the equation x = -9, we can see that the value of x is fixed at -9. This means that the graph will be a vertical line passing through the point (-9, 0) on the x-axis.

Now, let's analyze the answer choices:

a. x-intercept is (-9, 0))

This statement is correct. The x-intercept is indeed (-9, 0) since the graph passes through this point on the x-axis.

No y-intercept

This statement is also correct. Since the graph is a vertical line, it does not intersect the y-axis, so there is no y-intercept.

Based on the analysis of the answer choices, the correct answer is option a: The x-intercept is (-9, 0), and there is no y-intercept.

For more such questions on intercept, click on:

https://brainly.com/question/25722412

#SPJ8

It is not true that whenever  we add two irrational numbers we get an irrational number.

Since we know a rational number is a number in the form, p/q, where q ≠ 0. Let  take two numbers : 2 + √3 & 2 - √3

The sum of the two numbers be :

= 2 + √3 + 2 - √3

= 4

Here the number is rational, taking another irrational numbers :  2 + √5 & 2 - √3

= 2 + √5 + 2 - √3

= 4 + √5 - √3,  where it is an irrational number.

to know more about irrational numbers refer to the link https://brainly.com/question/15837135?referrer=searchResults.

#SPJ4

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

if ax = lambda x for some vector x then lambda is an eigenvalue of a: True.

Given the equation ax = λx, where 'a' is a matrix, 'x' is a vector, and 'λ' is a scalar, this equation defines the concept of eigenvalues and eigenvectors. In this case, λ is an eigenvalue of the matrix 'a', and 'x' is the corresponding eigenvector. Eigenvalues and eigenvectors are important in linear algebra because they help us understand the properties of a matrix, such as its stretching or shrinking effect on a vector.

The statement "if ax = λx for some vector x, then λ is an eigenvalue of a" is true because it directly corresponds to the definition of eigenvalues and eigenvectors.

To know more about eigenvalue, visit:

https://brainly.com/question/31650198

#SPJ11