Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, six of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want? You will need to change your probability to a decimal and then to a percent.

In order to design an elevator that can safely carry 15 people, assuming a worst-case scenario of 15 male passengers, we need to calculate the maximum total allowable weight with a 0.98 probability that this maximum will not be exceeded.

To find the maximum total allowable weight, we can use the properties of the normal distribution and z-scores. Given that the mean weight of males is 179 lb and the standard deviation is 33 lb, we can calculate the z-score corresponding to a probability of 0.98.
Using a standard normal distribution table or a calculator, we find that the z-score for a probability of 0.98 is approximately 2.05. The z-score represents the number of standard deviations away from the mean.
To calculate the maximum total allowable weight, we multiply the z-score by the standard deviation and add it to the mean weight:
maximum weight = mean + (z-score * standard deviation)
maximum weight = 179 + (2.05 * 33)
maximum weight ≈ 179 + 67.65
maximum weight ≈ 246.65
Therefore, the maximum total allowable weight, rounded to the nearest whole number, is approximately 247 lb. This means that in order to have a 0.98 probability that the weight limit will not be exceeded when 15 male passengers are randomly selected, the maximum weight the elevator should safely carry is 247 lb.

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The amplitude of the function f(x) = sin(5x) is 1

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

f(x) = sin(5x)

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/5

Evaluate

A = 1

Period = 2π/5

Hence, the amplitude is 1

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Answer:

C is not a zero for the solution of the polynomial equation

Please slow down with posting questions, this seems like a Canvas Exam.

Answer:

its not a zero

Step-by-step explanation:

hope this helps <3

Answer:

1. She did not distribute the Negative 4 properly.

2. She added StartFraction 2 over 7 EndFraction to Negative 4 instead of multiplying StartFraction 2 over 7 EndFraction by Negative 4.

3. The first term should be positive

Step-by-step explanation:

Answer:

Options 1, 3, and 4.

Step-by-step explanation:

got it on my quiz in edge

The correlation that demonstrates the weakest correlation between two variables is option a) +.20.

Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.

In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.

Let's analyze the options provided:

a) +.20:

This indicates a positive correlation, but the value is relatively small (0.20).

It suggests a weak positive relationship between the variables.

b) -50:

This option appears to be a typographical error since the correlation coefficient cannot be negative 50.

Assuming it is meant to be -0.50, this indicates a moderate negative correlation.

c) +.75:

This option represents a strong positive correlation.

With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.

d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.

Assuming it is meant to be -0.76, this indicates a strong negative correlation.

Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.

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Given:

Total number of students = 10

To find:

How many was can you award first, second, and third place?

Solution:

Total number of students is 10. So, the total possible ways for the first award is 10.

We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.

Similarly, the total possible ways for the third award is 8.

Now, the total number of ways to award first, second, and third place is:

\(10\times 9\times 8=720\)

Therefore, the total number of ways to award first, second, and third place is 720.

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

We know

The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.

Here,

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here

Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

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In observational studies, the variable of interest The correct answer is (a) is not controlled.

The variables are measured as they occur naturally, without any manipulation or intervention by the researcher. Therefore, the variable of interest is not controlled in observational studies.

Observational studies are used in situations where it is not feasible or ethical to conduct controlled experiments, such as in studies of the effects of environmental exposures or lifestyle factors on health outcomes. In these studies, the researcher cannot control the exposure or intervention and must rely on observational data to draw conclusions about the relationship between the exposure and the outcome.

The other options are not correct because:

b. If the variable of interest is controlled, then the study is a controlled experiment, not an observational study.

c. The variable of interest can be numerical or categorical in observational studies.

d. The variable of interest does not have to be numerical in observational studies, as it can also be a categorical variable

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Answer:

In this case, the area is more useful to find out how much the paint covers.

This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.

So to find out the area of this table, we must use the formula for the area of a regular circle.

A = π\(r^{2}\)

Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.

But, if we see the information that we have, we can see that it gives the diameter and not the radius.

So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.

30(diameter) x 1/2

= 15 is the radius.

Now we substitute this value into our equation, since it's the only information we need.

A = π\(r^{2}\)

A = 3.14(15^2)

A = 3.14(225)

A = 706.5 square inches of paint is needed to cover the table.

The most likely equation for line B so that the set of equations has no solution is x + y = 4

To ensure that the set of equations has no solution, line B should be parallel to line A and have a different y-intercept.

Line A is represented by the equation x + y = 2, which can be rewritten as y = -x + 2.

This equation has a slope of -1 and a y-intercept of 2.

To find a line B that is parallel to line A and has a different y-intercept, we need to choose an equation with the same slope (-1) and a different y-intercept.

x + 2y = 2 has a different y-intercept, but the slope is 1/2, not -1.

2x + 2y = 4 has a different y-intercept, but the slope is 1, not -1.

2x + y = 2 has a different y-intercept, and the slope is -2, which is different from the slope of line A.

x + y = 4 has a different y-intercept, and the slope is -1, which matches the slope of line A.

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Answer:

The answer is 2

Step-by-step explanation:

| 2 | = 2 because whenever you have | 2 | or even | -2 | it always equals the postive number.

Ex:

| -3 | = 3

| 8 | = 8

hope this helps! :)

Answer:

Graph B. is the one

Step-by-step explanation:

Can i have brainliest

Answer:

b is the right answer

Step-by-step explanation:

(x,y)

Answer:

y = 2x-3

Explanation:

By definition, two lines are parallel if they have the same slope.

Given the equation for a line:

Comparing the given line with the slope-intercept form of a line:

Thus, we want to find the equation of the line with the following properties:

• Slope: m = 2

• Point: (x1,y1)=(2,1)

In order to do this, we employ the use of the point-slope form of the equation of the line:

We then simplify:

The equation of the parallel line is y=2x-3.

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

This should help

The general solution will depend on the values of k, m, and the damping coefficient 8/m. To find the equation of motion for this system.

We can use Newton's second law:

F = ma

where F is the net force acting on the system, m is the mass of the object, and a is the acceleration.

The net force in this case is the sum of the external force and the force due to the spring:

F = f(t) - kx

where k is the spring constant and x is the displacement from equilibrium.

The damping force is given as 8 times the instantaneous velocity, which we can write as:

F_damp = -8v

where v is the velocity of the object.

Putting everything together, we get:

m(d^2x/dt^2) = f(t) - kx - 8v

Substituting in the given values, we have:

1(d^2x/dt^2) = 2 sin 4t - kx - 8(dx/dt)

To simplify this equation, we can use the fact that x is a displacement and therefore the second derivative of x with respect to time is the acceleration. So we can rewrite the equation as:

a = (2/g)sin(4t) - (k/m)x - 8v/m

where g = 32 ft/s^2 is the acceleration due to gravity.

To solve for x, we can use the fact that the velocity is the derivative of displacement with respect to time:

v = dx/dt

Taking the derivative of the equation for velocity, we get:

a = d^2x/dt^2 = dv/dt = d/dt(dx/dt) = d/dt(v) = d/dt(-8v/m - (k/m)x + 2/g sin(4t))

Simplifying this expression, we get:

a = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Substituting in the value of a from the previous equation, we have:

(2/g)sin(4t) - (k/m)x - 8v/m = -8/m(dv/dt) - k/m(dx/dt) + (8/g)cos(4t)

Rearranging and simplifying, we get:

d^2x/dt^2 + (k/m + 8/m)dx/dt + k/mx = (16/g)cos(4t) - (2/g)sin(4t)

This is a second-order differential equation that we can solve using standard techniques, such as the method of undetermined coefficients or Laplace transforms. The general solution will depend on the values of k, m, and the damping coefficient 8/m.

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The equation for the quadratic graphs can be written using x-intercept as shown below.

We can write the equations for the quadratic graphs using x-intercept as follow:

No. 3

From the graph:

x = -1 and x = -3

x + 1 = 0 and x + 3 = 0

(x + 1)(x + 3) = 0

x² + 4x + 3 = 0

No. 4

From the graph:

x = 0 and x = 3

x - 0 = 0 and x - 3 = 0

(x)(x - 3) = 0

x² - 3x = 0

No. 5

From the graph:

x = -1 and x = 4

x + 1 = 0 and x - 4 = 0

(x + 1)(x - 4) = 0

x² - 3x - 4 = 0

No. 6

From the graph:

x = 2 twice

(x -2)² = 0

x² - 4x + 4 = 0

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Answer:

Answer: -3n^9

Step-by-step explanation:

cube root of -27 is -3 and divide 27 with 3 you'll get 9 so the answer is -3n^9

Answer:

3

Step-by-step explanation:

The false statement about pie charts is: (a) Pie charts are graphical representations of the cumulative relative frequency distribution.

Pie charts are not typically used to represent the cumulative relative frequency distribution. They are commonly used to display the relative sizes or proportions of different categories within a categorical variable.

Each slice of a pie chart represents the proportion or percentage of a specific category in relation to the whole. Pie charts always have the shape of a circle, and the area of each slice corresponds to the proportion of the corresponding category in the data.

However, they are not directly used to depict cumulative relative frequency distributions, which are more commonly shown through other types of graphs such as cumulative frequency plots or histograms.

Therefore, (a) Pie charts are graphical representations of the cumulative relative frequency distribution is the correct answer.

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Answer:

\(\frac{3}{5}\) and \(\frac{9}{25}\)

because you can multiply the numerator and denominator by 3 to get 9/25

and if you want to do it vice versa, divide 9/25 by 3.

Answer:

4.{k-9=2(e-9)

{e+4=k

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

If her art book costs $26.62 less than her math book, and her math book costs $83.38, then all you have to do is add 26.62 to 83.28. Then the answer would be 110.

Answer:

x = 15

Step-by-step explanation:

We are given the following equation:
\(\frac{9}{x^2-9} = \frac{3}{6x-18}\)

We want to find the value of x of it.

We can start by cross multiplying to get:

9(6x-18) = 3(x²-9)

Distribute the 9 and 3.

54x - 162 = 3x² - 27

Subtract 54x from both sides

-162 = 3x² - 54x - 27

Add 162 to both sides.

3x² - 54x + 135 = 0

We can divide each term by 3. We'll end up with:

x² - 18x + 45 = 0

This can be factored to become:

(x -15)(x-3) = 0

Applying zero product property,

x - 15 = 0

x = 15

And:

x-3 = 0

x = 3

We aren't done yet though; we need to find the domain of this equation, because we have variables in the denominator.

x² - 9 and 6x - 18 both cannot be zero. Because of that:

x² - 9 ≠ 0

x² ≠ 9

x ≠ ±3  

and:

6x - 18 ≠ 0

6x ≠ 18

x ≠ 3
The value of x cannot be 3 or -3. This means that our only answer is x = 15.

Answer:

22.50

Step-by-step explanation:

because 18 divided by 4 is 4.5

then 18 plus 4.5 is 22.50

Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

_______________________

➜ Turn the fractions into decimals:

➜ Now divide:

_______________________

So based on the above work we can conclude that the answer is:

_______________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

−

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

x=40,−45

The speed of the train is 40 km/hr.

Answer:

\(\boxed {\tt Yes}\)

\(\boxed {\tt The \ 3 \ angles \ add \ to \ 180 \ degrees}\)

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

Let's add the three angles we are given and see what the sum is.

Add them together.

The three angles equal 180 degrees, therefore they can create a triangle.

Yes, 3 triangles have 180 degrees because the interior angles of a triangle must add to 180 degrees.

Answer:

Step-by-step explanation:

sin(3x5)=15