4 A Math (CO) / Module 2
4. Jaclyn has a piano lesson every 7th day. She has a flute lesson every 14th day. What are the first 2 days she will have both lessons on the same day?
O 14th day, 30th day
O 14th day and 28th day
O 28th day, 42nd day
O 7th day, 14th day

Answer:

20

Step-by-step explanation:

The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )

If 3 red counters are removed then

red : yellow = 3x - 3 : 4x = 3 : 5

Expressing in fractional form

\(\frac{3x-3}{4x}\) = \(\frac{3}{5}\) ( cross- multiply )

5(3x - 3) = 12x

15x - 15 = 12x ( subtract 12x from both sides )

3x - 15 = 0 ( add 15 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

number of yellow counters = 4x = 4 × 5 = 20

Answer:

x / 7 = -8

D) -56

-56/7 = -8

Answer:

Step-by-step explanation:

To solve this problem, first, you have to isolate by the x from one side of the equation.

Multiply by 7 from both sides of an equation.

x/7=-8

\(\sf\dfrac{7x}{7}=7(-8)\)

Solve.

7(-8)=-56

\(\large\boxed{x=-56}\)

Therefore, the correct answer is d. x=-56.

Using the information provided, no triangle will be formed.

This is shown by, summing the angles

The number of triangles to be formed considering the given angles is achieved knowing the basic properties of triangle which is:

With this knowledge, we sum the angles of the triangle

= 112 + 54 + 16

= 182

No triangle is formed as the sum is not equal to 180 degrees

If the angles are summed to 180 degrees, this is a criterion of formation of unlimited number of triangle

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After executing this code, the object "stats" will contain the vector of odd numbers: 21, 23, 25, 27, 29.

To assign a vector of odd numbers between 20 and 30 to an object called "stats" in a programming language like R, you can use the following code:

stats <- seq(21, 29, 2)

Here's how this code works:

seq() is a function in R used to generate a sequence of numbers.

We specify the starting point as 21 (the first odd number between 20 and 30).

The endpoint is set to 29 (the last odd number between 20 and 30).

The third argument, 2, indicates the step size. By setting it as 2, we ensure that only odd numbers are included in the sequence.

The resulting sequence of odd numbers between 20 and 30 is then assigned to the object called "stats" using the assignment operator <-.

After executing this code, the object "stats" will contain the vector of odd numbers: 21, 23, 25, 27, 29.

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Answer: 2

Step-by-step explanation:

Use desmos!

Answer:

Step-by-step explanation:

In the multiply we sum the powers and in the division we minus powers

So

\(2^{(2+3)-4}=2^{1} =2\)

Answer: D 87%

Step-by-step explanation:

Ap-ex

you can only choose 4 unique ways Step-by-step explanation:

Answer:

both are quadrilaterals

Step-by-step explanation:

Estimate each product then write whether the estimate is greater than or less than the actual product.

= 3027 chairs are there.

There are 325 rows of 9 chairs in the theater.

There are 102 chairs in the balcony.

The total number of chairs there are in the theater and balcony is equal to 3027 chairs.

According to the question;

There are 325 rows in the theater.

Each row contains 9 chairs.

Additionally, there are 102 chairs in the balcony.

In essence, the number of chairs in the theater is;

= 325 × 9

= 2925 chairs.

Additionally, there are 102 chairs in the balcony;

In essence, the total number of chairs is;

= 2925 + 102

= 3027 chairs.

Hence the answer is, = 3027 chairs are there.

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Answer:

No

Step-by-step explanation:

There is no numerator, no denominator, no division symbol because it is not a legal fraction. The denominator can never be zero in any fraction.

At least 95% of the observed values are expected to lie between mu minus 2 sigma and mu plus 2 sigma.

This is because of the empirical rule, also known as the 68-95-99.7 rule, which states that in a normal distribution, approximately 68% of the observations will fall within one standard deviation of the mean, about 95% of the observations will fall within two standard deviations of the mean, and around 99.7% of the observations will fall within three standard deviations of the mean.

In this case, we are given that x has mean mu and standard deviation sigma. Therefore, about 95% of the values of x are expected to lie between mu minus 2 sigma and mu plus 2 sigma, as this interval covers two standard deviations on either side of the mean.

Mathematically, we can express this as:

P(mu - 2sigma < x < mu + 2sigma) ≈ 0.95

where P is the probability that x falls within the interval mu - 2sigma to mu + 2sigma.

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Answer:

BUNNY: y = 3x + 5

CAT: y = 1x + 19

Step-by-step explanation:

Answer:

Bunny: 5 + 3y

Cat: 19 + y

Step-by-step explanation:

If we were trying to make an equation about the total number of pounds each animal weighs, we would take the current number of pounds for each animal and then add the product of the pounds they gain and the number of years.

Bunny: 5 + 3y

y - number of years

5 current pounds  + 3 additional pounds * y

Cat: 19 + y

y -  number of years

19 current pounds + 1 additional pound per year or just 'y'

Hope this helps.

Answer:

the smaller angle is 35 degrees.

Step-by-step explanation:

complementary angles are 90 degrees, so you would set your entire equation to 90.

we can use the variable x to represent the unknown smaller angle. we know that the larger angle is 20 more degrees than the unknown smaller angle (x). we can set up the equation like this:

x + x + 20 = 90

the first x represents the smaller angle and the x + 20 represents the other angle, which is 20 more than the smaller angle. we set it to 90 because we know that the entire angle will be 90 degrees

move variables and constants to opposite sides of the equal sign and combine like terms:

x + x = 90 - 20

2x = 70

divide both sides by 2 to isolate 90:

x = 35

you can plug x back into the equation to check your answer if you want

hope this helps!! :)

Answer:

so sorry i needed the points to ask my question.

Step-by-step explanation:

30 Students I hope it helps.

21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

Answer:

Response bias would be something where answers would be skewed one way or another because of the way you asked. So maybe ask something embarrassing for someone to admit, like asking random students if they pick their nose. Some people will answer truthfully as no, and the people who do will likely also say no because they do not want to tell you that.

The triangles AEB and DEC describes AA similarity .

What is AA Similarity ?

Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .

In the question ,

a figure is given .

in triangle AEB and triangle DEC ,

we can see that ,

∠AEB ≅ ∠DEC    ,   because they are vertically opposite angles .

On rotating triangle CED by  180° around the point E, then the translate point D to point A confirms  ∠EAB ≅ ∠EDC.

Since two angles are Congruent

So , By AA Similarity , triangles AEB and DEC are Congruent .

Therefore , the triangles AEB and DEC are Congruent .

The given question is incomplete , the complete question is

Which of the following triangles in the given figure describes AA similarity ?

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The expected time for completion of Activity "X" on a PERT chart is 9 hours.

PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.

Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:

Optimistic time (O) = 6 hours

Most likely time (M) = 9 hours

Pessimistic time (P) = 12 hours

Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9

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Manav can cover 1 mile of the distance in just 12 minutes.

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

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The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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In general, given arbitrary 3 x 3 matrices a and 3 x k matrices b, the statement ab = [ab1 ab2 ab3] is false.

False.

In order for the product of two matrices to be defined, the number of columns in the first matrix must equal the number of rows in the second matrix. In this case, a is a 3 x 3 matrix, and b is a 3 x k matrix, where k could be any positive integer (i.e., b could have any number of columns).

Therefore, the product ab is not well-defined unless the number of columns in matrix a is equal to the number of rows in matrix b. Since b is a 3 x k matrix and a is a 3 x 3 matrix, the product ab is not defined unless k = 3, in which case the product would be a 3 x 3 matrix, not a 3-element row vector as shown in the given statement.

So, in general, the statement ab = [ab1 ab2 ab3] is false for arbitrary 3 x 3 matrices a and 3 x k matrices b.

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Answer: 5x + 5 = 30

Step-by-step explanation: All equations have a equal sign at the end. Hope this helped!

Answer:

B. y=3x-2

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=3

b=-2

y=3x-2

Hope this helps!

Please mark as brainliest if correct!

The area and the perimeter of the given figure would be =64.26 ft² and 36.84ft respectively.

To calculate the area of the figure to to determine the summation of both the area of a circle and a rectangle.

The area of a circle = πr²

π = 3.14

r = 3 ft

area = 3.14 × 9 = 28.26ft²

The area of the rectangule = length×width

= length = 12 ft

width = 3 ft

area = 12×3 = 36ft²

Area of the figure = 36+ 28.26 = 64.26 ft²

The perimeter of the figure

= perimeter of circle + perimeter of rectangle

= 2× 3.14×3 + 2(3+6)

= 18.84 + 18

= 36.84ft

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Answers:

a. -4/3 or -1 1/3

b. 4/3 or 1 1/3

c. -3

d. 3

Step-by-step explanation:

hope this helps!

To find the Yule-Walker estimators of ϕ1, ϕ2, and σ^2z for an AR(2) model, we use the sample statistics provided and solve the Yule-Walker equations.

To find the Yule-Walker estimators of ϕ1, ϕ2, and σ^2z for an AR(2) model, we can use the sample statistics provided: x¯ (sample mean), γbX(0) (sample autocovariance at lag 0), rhobX(1) (sample autocorrelation at lag 1), and rhob2 (sample autocorrelation at lag 2).

The Yule-Walker equations for an AR(2) model are as follows:

γbX(0) = ϕ1γbX(1) + ϕ2γbX(2) + σ^2z

γbX(1) = ϕ1γbX(0) + ϕ2γbX(1)

γbX(2) = ϕ1γbX(1) + ϕ2γbX(0)

Substituting the given sample statistics into the equations, we can solve for the Yule-Walker estimators:

From γbX(0) = 1.15:

1.15 = ϕ1γbX(1) + ϕ2γbX(2) + σ^2z

From rhobX(1) = 0.427:

0.427 = ϕ1γbX(0) + ϕ2γbX(1)

From rhob2 = 0.475:

0.475 = ϕ1γbX(1) + ϕ2γbX(0)

Now we have a system of three equations with three unknowns (ϕ1, ϕ2, σ^2z). We can solve this system to find the Yule-Walker estimators.

By substituting the values of γbX(0), γbX(1), and γbX(2) from the given sample statistics into the equations, we can rewrite the system as follows:

1.15 = ϕ1(0.427) + ϕ2(0.475) + σ^2z

0.427 = ϕ1(1.15) + ϕ2(0.427)

0.475 = ϕ1(0.427) + ϕ2(1.15)

Solving this system of equations will give us the Yule-Walker estimators of ϕ1, ϕ2, and σ^2z. The estimators can be obtained by solving the equations using methods such as matrix inversion or Gaussian elimination.

Once the system is solved, the resulting values of ϕ1, ϕ2, and σ^2z will be the Yule-Walker estimators based on the given sample statistics.

In summary, the estimators can be obtained by solving the resulting system of equations.

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