Write the recurring decimal 0.36 as a fraction. Give your answer in its simplest form. [0.36 means 0.3666...]

Answer:

5z

Step-by-step explanation:

Answer:

5z

Step-by-step explanation:

'The product of 5 and a number' would be 5 *  n.

Since the number in the question would be 'z', we will write it as '5 * z'.

However, the most ideal way to write this is '5z'. So,  "The product of 5 and a number z" would be '5z'.

Hope this helps.

The quality control manager at Sony uses systematic sampling to estimate the percentage of defects in a manufacturing batch of music CDs. Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained.

Systematic sampling involves selecting items from a population at regular intervals. In this case, the quality control manager selects every 16th music CD starting from the ninth. This method ensures that every CD has an equal chance of being selected, providing a representative sample of the batch.

By using systematic sampling, the quality control manager obtains a sample of 140 music CDs. She can then examine these CDs to determine the number of defective ones. Let's assume she finds 28 defective CDs in the sample.

To estimate the percentage of defects in the manufacturing batch, the quality control manager can use the formula:

Defect percentage = (Number of defective CDs / Sample size) *100

Substituting the values, we have \((\frac{28}{140}) * 100 = 20%\).

Therefore, the quality control manager can estimate that approximately 20% of the entire manufacturing batch of music CDs may have defects based on the systematic sample she obtained. This estimation provides valuable information for assessing the quality of the batch and taking necessary actions for improvement.

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Answer:

lol 33.5 or 33.57 either one of them

Step-by-step explanation:

hope this helps!

Most correlational studies use d)relative data, which compares two variables.

This means that one variable is being measured against another, often in the form of ratios or percentages. For example, one might compare the number of people who smoke cigarettes with the number of people who develop lung cancer, in order to determine whether there is a correlation between the two.

Relative data allows researchers to examine the relationship between variables, allowing them to assess the strength of the relationship between them.

In order to compare variables, correlational studies rely on either primary or secondary data. Primary data is collected through direct observation and experimentation, while secondary data is obtained from existing sources.

In most cases, correlational studies use secondary data, such as survey results or statistics from public databases. This data is often in the form of relative data, such as percentages or ratios.

By using relative data, correlational studies can determine the strength of the relationship between two variables. This information can be used to better understand how the variables are related, as well as to draw conclusions about their relationship. For example, the relationship between smoking and lung cancer can be examined using relative data, allowing researchers to identify patterns and draw conclusions about the correlation between the two variables.

Hence Option D is correct.

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The probability that Kelsi will eat a custard filled donut and then a chocolate donut is approximately 0.1455.

To calculate the probability of Kelsi eating a custard filled donut and then a chocolate donut, we need to use the concept of conditional probability.

The probability of Kelsi eating a custard filled donut first is 4/12 (since there are 4 custard filled donuts out of a total of 12 donuts).

After Kelsi eats a custard filled donut, there are only 11 donuts left, and 6 of them are chocolate donuts. So the probability of Kelsi eating a chocolate donut second, given that she already ate a custard filled donut, is 6/11.

To find the probability of both events happening together (Kelsi eating a custard filled donut first and a chocolate donut second), we multiply the probabilities:

P(custard first and chocolate second) = P(custard first) * P(chocolate second | custard first)

P(custard first and chocolate second) = (4/12) * (6/11)

P(custard first and chocolate second) = 0.1455

Rounding to 4 decimal places, we get:

P(custard first and chocolate second) ≈ 0.1455

Therefore, the probability that Kelsi will eat a custard filled donut and then a chocolate donut is approximately 0.1455.

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Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

\(\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}\)

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer: 6

He started with 6 costumers

Answer:

4.1 units

Step-by-step explanation:

A( -2,3)

B( 2,5)

C( 8.6)

Answer:

x=5

Whole angle/9x=45

Step-by-step explanation:

sum of all three angles in a triangle is 180 degrees so we can add all of these angles together and set it equal to 180 like this

9x+65+70=180

Simplify

9x+135=180

Subtract both sides of 135

9x+135=180

   -135.  -135

9x=45

since 9x equals 45 that is how much the angle is

Divide both sides by 9 to find x

9x=45

/9.  /9

x=5

Hopes this helps please mark brainliest

An integer to represent the change in the worker position is -78

Hence, An integer to represent the change in the worker position is -78

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Answer:

-2

Step-by-step explanation:

I gave you a link but the robot deleted my answer idkw??? but I do know this is right use y2-y1/x2-x1

The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

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a. To find the population of the state in 2000, substitute 0 for t in the formula. That is, \(A = 15.7e0.0412(0) = 15.7\) million (to one decimal place). Therefore, the population of the state in 2000 was 15.7 million people.

b. We are given that the population of the state will reach 18.7 million. Let's substitute 18.7 for A and solve for \(t:18.7 = 15.7e0.0412t\) Divide both sides by 15.7 to isolate the exponential term.\(e0.0412t = 18.7/15.7\)

Now we take the natural logarithm of both sides:

\(ln(e0.0412t) \\= ln(18.7/15.7)0.0412t \\=ln(18.7/15.7)\)

Divide both sides by \(0.0412:t = ln(18.7/15.7)/0.0412\)

Using a calculator, we find:t ≈ 8.56 (rounded to two decimal places)Therefore, the population of the state will reach 18.7 million in the year 2000 + 8.56 ≈ 2009 (rounded down to the nearest year).

Thus, the answer is: a) In 2000, the population of the state was 15.7 million. b) The population of the state will reach 18.7 million in the year 2009.

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Answer:

11

Step-by-step explanation:

Cancel out 22 and 22.

\frac{\mathrm{d}}{\mathrm{d}x}(x)

dx

d

(x)

The derivative of ax^{n}ax

n

is nax^{n-1}nax

n−1

.

x^{1-1}x

1−1Subtract 11 from 11For any term tt except 00, t^{0}=1t

0

=1.

It is given that

Then determining the value of theta,

Then the value of theta is 45 degree but the value of cot theta is to negative so the theta is considered to 135 degree.

Now, we have to determine the value of

This is an example of stratified random sampling.

The correct option is B.

A population that can be divided into subpopulations can be sampled using stratified sampling. It may be helpful to sample each subpopulation separately in statistical surveys when subpopulations within a larger population vary.

Currently, the math department has a 6-person capacity to send to a national convention, and they would like to send 4 students out of 30 and 2 faculty members out of 6.

The department takes into account both different student and teacher groups or strata.

Additionally, two faculty members were chosen at random from among the six faculty members, out of the 30 students, to make up the last 4 students.

This is an example of stratified random sampling.

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I understand that the question you are looking for is :

A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like to send 4 students and 2 faculty members. Of the 30 students, 4 are selected randomly, and then 2 faculty members are randomly selected from the six. This is an example of

(A) simple random sampling.

(B) stratified random sampling.

(C) voluntary response sampling.

(D) a census.

Answer: None

Step-by-step explanation:

Hi there,

None of the answer choices in the picture would be correct. The correct answer would be similar to B, but the quadratic should not have the bar underneath since the the circle is open, and the linear function should gain and bar underneath since its circle is closed.  

Hope this helps.

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

(a) To rewrite the given second-order differential equation as a system of first-order differential equations, we introduce a new variable y = dx/dt. Then, the original equation becomes:

dx/dt = y

dy/dt = μ(1 - x^2)y - x

Thus, we have a system of two first-order differential equations in terms of the variables x and y.

(b) Using Euler's method with a step size of 0.1 and the initial conditions x(0) = 2 and x'(0) = 0, we can obtain the following table of values for the first two iterations:

t x(t) y(t)

0.0 2.0 0.0

0.1 2.0 -0.2

0.2 1.98 -0.395996

0.3 1.943203 -0.572175

0.4 1.894315 -0.728486

0.5 1.827662 -0.864283

0.6 1.748208 -0.979298

0.7 1.659462 -1.073651

0.8 1.56442 -1.147836

0.9 1.466409 -1.202743

1.0 1.36897 -1.239667

(c) The MATLAB function that defines the system of ODEs from part (a) is:

lua

Copy code

function dydt = vanderpol(t, y, mu)

   dydt = [y(2); mu*(1-y(1)^2)*y(2)-y(1)];

end

Here, t is the independent variable, y is a vector of dependent variables (in this case, y = [x; y]), and mu is a parameter. The function returns a vector dydt containing the derivatives of x and y, respectively. This function can be used as the input to the ode45 solver to numerically solve the system of differential equations.

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Answer:

(27x2)1/3 1/3±27×2

Step-by-step explanation:

es la cantidad que me dio al resolverlo

Answer:

its 3x square root i think

Step-by-step explanation:EZ

Answer:

2(x+16)

Step-by-step explanation:

it says product of 2 means 2 times

then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2

so the ans is 2(x+16)

False they are not congruent.

Start by looking at the Properties of congruent triangle:

1. SSS -"side, side, side" and means that we have two triangles with all three sides equal

we are only given the length of one side in this triangle so we can not use this one to determine if the triangles are congruent or not.

2.SAS -"side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal.

once again, we are only given the length of one side in each triangle, so this one also cant help us to determine if the triangles are congruent.

3. ASA- "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

in the triangle to the right we get: ∠62, 7, ∠60

in the triangle to the left we get : ∠58, 7, ∠62

these do not match up with each other.

with this information we can determine that the triangles are not congruent therefore the answer is B. False

Answer:

6 days

Step-by-step explanation:

total is 445

first day charge is 145

so, 445-145 = 300

second day onwards its 60.

so, 300/60 = 5 days

so total 5+1 = 6 days.

I hope I helped you

Answer:

the answer is 10a+11x

Step-by-step explanation:

2a+3a+5a=10a

3x+2x+6x=11x

The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.

1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

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Answer:

yes

Step-by-step explanation:

ny shape that has a line of symmetry is symmetrical shape.means the shape can be folded into two equal halves.

Answer: A and C

Step-by-step explanation: Its right