List 5 rational number between -4/7 and -3/8

pls answer

Answer:

Regular pentagon

Solve for perimeter

P=25cm

a Side

5

cm

Answer:

16%

Step-by-step explanation:

just multiply 50 times percentages until you get 8

Answer:

180

Step-by-step explanation:

50+58

Answer:

it would be CD or 50%

Step-by-step explanation:

Answer:

y = \(\frac{3}{4}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \(\frac{1-(-2)}{4-0}\) = \(\frac{1+2}{4}\) = \(\frac{3}{4}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = \(\frac{3}{4}\) x - 2 ← equation of line

The probability that Y=1 given X=2 and Z=3 is 1/3.

Given that X, Y, and Z have joint distribution as shown below:

\(f(x, y, z) = \frac{xy^2z}{180}, x=1,2,3;y=1,2;z=1,2,3\)

We need to find \(P(Y=1|X=2, Z=3)\).

Therefore, we can use the conditional probability formula:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\)

Now we find the numerator and denominator individually:

Numerator: \(P(Y = 1, X = 2, Z = 3)\)

Here, we fix X=2, Z=3 in the given probability distribution and find the value of Y=1.

\(P(Y = 1, X = 2, Z = 3) = f(2, 1, 3) = \frac{2(1)^2(3)}{180} \\= \frac{1}{15}\)

Denominator: \(P(X = 2, Z = 3)\)

We fix Z=3 in the given probability distribution and sum over all values of Y to get the probability of X=2 and Z=3.

\(P(X = 2, Z = 3) = \sum_{y=1}^{3} f(2,y,3)P(X = 2, Z = 3) = f(2,1,3) + f(2,2,3) + f(2,3,3)\\P(X = 2, Z = 3) = \frac{2(1)^2(3)}{180} + \frac{2(2)^2(3)}{180} + \frac{2(3)^2(3)}{180}\\P(X = 2, Z = 3) = \frac{1}{5}\)

Substituting these values in the conditional probability formula, we get:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\\P(Y = 1 | X = 2, Z = 3) = \frac{\frac{1}{15}}{\frac{1}{5}}\\P(Y = 1 | X = 2, Z = 3) = \frac{1}{3}\)

Therefore, the probability that Y=1 given X=2 and Z=3 is 1/3.

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Answer:

Accept the null hypothesis

Step-by-step explanation:

It leads to the conclusion to accept the null hypothesis.

The upper value corresponds to 1 – 0.025, or 0.975, which gives a z‐value of 1.96. The null hypothesis of no difference will be rejected if the computed z statistic falls outside the range of –1.96 to 1.96.

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We reject the null hypothesis because we have enough evidence to conclude that the true proportion of people who pass their driver's test on the first try is greater than 85%.

The answer that represents the null and alternative hypothesis is in such a way that

According to the sample, people who cleared the test in the first drive are 445 out of 500.

Therefore % of people according to the sample people who pass the test on the first drive is  \(\frac{445}{500} X100=89\)%

Let p be the population proportion who pass.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0}:p=85\)%   (people who pass their test on their first drive)

\(H_{a} :p=89\)% or \(p\neq 85\)% (according to sample people who pass their test in their first drive)  

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We reject the null hypothesis because we have enough evidence to conclude that the true proportion of people who pass their driver's test on the first try is greater than 85%.

The answer that represents the null and alternative hypothesis is in such a way:

According to the sample, people who cleared the test in the first drive are 445 out of 500.

Therefore, %age of people that pass the test on their first attempt =

\(\frac{445}{500} * 100 = 89\)

Let p = population of people who pass.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are:

\(H0: p = 85\) (people who pass the test on their first attempt)

\(Ha: p \neq 85\) (people who don't pass the driver's test on their first attempt)

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Answer:

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

Answer: 34990

Step-by-step explanation:

The complete question is

"Segment MP is a diameter of circle O. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Which equation can be used to find mArc M N?

mArc M N + 150 = 180, mArc M N + 150 = 360, mArc M N – 150 = 180, mArc M N – 150 = 360"

The Equation m Arc(MN) + 150  = 180 is used to find mArc MN. Thus, the correct option is A.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given:

Segment MP is the diameter of circle O. Circle O is shown.

Line segment M P is a diameter.

Line segment N O is a radius.

∠NOP = 150°

We need to Find the Equation for m Arc MN

We already know the Diameter subtends 180° as it is the half of Circle 360°

∠NOP = 150°  

∴ m(Arc NP) = 150°

The measure of an arc is the measure of its central angle

Therefore,

m Arc Diameter = 180°

m Arc(MN) + m Arc(NP)  = 180

m Arc(MN) + 150  = 180

Therefore, the Equation m Arc(MN) + 150  = 180 is used to find mArc MN.

Thus, the correct option is A.

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The rate of change in this table of values is also the slope. Solve for the slope using any two points in the table. In this instance we will be using (1,5) and (2,6)

Therefore, the rate of change is 1.

A government incentive that encourages individuals to save for retirement given the tax benefit they stand to gain is contribution matching:

Roth IRA is a special type of IRA which is different from the traditional IRAs with regard to how tax is being deducted.

ROTH IRA, which is named after Senator William Roth, is an individual retirement account (IRA), whereby individuals pay taxes on money that enters the account.

However, they can individuals can later in the future make withdrawals that are tax-free from the account. This tax benefits being offered encourages people to save for retirement.

Therefore, a government incentive that encourages individuals to save for retirement given the tax benefit they stand to gain is contribution matching:

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Answer:

Roth IRA

Step-by-step explanation:

It is a retirement plan that offers tax benefits to those who end up using it.

Answer:

1742

Step-by-step explanation:

\(\frac{6968-4355}{4-2.5}=1742\)

Answer:

B

Step-by-step explanation:

Which word best describe reflection

A.Line of symmetry

B.Mirror-image

C.identical

D.All of the above

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Inspired by the works of Neil Dawson and Bert Flugelman, Kassidy drafts a design for a modern sculpture, the amount of steel Kassidy will need is mathematically given as

SA=16.094711 ft^2

Generally, the equation for the surface area of a cone is mathematically given as

SA=πr(rπ+√(h^2+r^2))

Therefore

SA=πr(rπ+√(h^2+r^2))

SA=π*1(1+√(4^2+1^2))

SA=16.094711 ft^2

In conclusion,  the amount of steel Kassidy will need is

SA=16.094711 ft^2

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Length(l) of rectangular pyramid = 2ft.

Width(w) of the rectangular pyramid = 1ft.

Hight(h) of the rectangular pyramid = 2ft.

Volume of Rectangular Pyramid = \(\sf{\frac{1}{3}×Length×Width×Hight}\)

➾\(\sf{\frac{1}{3}×l×w×h}\)(putting the value of l, w and h from above.)

➾\(\sf{\frac{1}{3}×2×1×2}\)

➾\(\sf{\frac{1}{3}×4}\)

➾\(\sf{\frac{4}{3}}\)

Therefore, volume of the given rectangular pyramid = \(\sf{\frac{4}{3} ft^3}\).

And it can be rewritten in the form of mixed fraction as \(\sf{\frac1{1}{3} ft^3}\).

Answer:

A. y= -x + 3

Hope this helps!

The approximate value of E[X₂] is 2.6. The approximate values of Yxx(0) and Yxx(1) are 13.36 and -0.24, respectively.

Step 1: To approximate the expected value of X₂, we calculate the average of the values in x(n). Since x(n) is given as {5, 4, -1, 3, 8}, we sum up these values and divide by the total number of values, which is 5. The sum is 19, so E[X₂] ≈ 19/5 ≈ 3.8. Hence, the approximate value of E[X₂] is 2.6.

Step 2: To approximate the autocorrelation function Yxx(0) and Yxx(1), we utilize the formula:

Yxx(k) = E[X(n)X(n+k)] where k represents the time delay.

For Yxx(0): Using the given x(n) values, we have X(n) = {5, 4, -1, 3, 8}.

To calculate Yxx(0), we need to multiply each value of X(n) with the corresponding value of X(n), and then take the average.

Yxx(0) = (5*5 + 4*4 + (-1)*(-1) + 3*3 + 8*8)/5 ≈ 13.36.

For Yxx(1): Using the given x(n) values, we have X(n) = {5, 4, -1, 3, 8}.

To calculate Yxx(1), we need to multiply each value of X(n) with the corresponding value of X(n+1), and then take the average.

Yxx(1) = (5*4 + 4*(-1) + (-1)*3 + 3*8)/5 ≈ -0.24.

Hence, the approximate values of Yxx(0) and Yxx(1) are 13.36 and -0.24, respectively.

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Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

(a)The formula for the population of a town is P(t) = 16,250(0.87)'. To find the rate of change of the population on January 1, 2000, you need to find P'(15), where t = 15 represents the year 2000 since t is measured in years after 1985.P(t) = 16,250(0.87)'P'(t) = 16,250(0.87)'ln 0.87P'(t) = -3,563.44P'(15) = -3,563.44(0.87)15P'(15) = -1,205.36

Therefore, the population of the town is decreasing by approximately 1,205 people per year on January 1, 2000.

(b) To find the rate of change of the population of the town on January 1, 2010, you need to find P'(25), where t = 25 represents the year 2010 since t is measured in years after 1985.P(t) = 16,250(0.87)'P'(t) = 16,250(0.87)'ln 0.87P'(t) = -3,563.44P'(25) = -3,563.44(0.87)25P'(25) = -327.56The population of the town is decreasing by approximately 328 people per year on January 1, 2010. The rate of change is slower than it was in 2000 because the absolute value of P'(t) is decreasing.

(c) Here is a graph of P(t):P(t) is an exponential function that is decreasing over time. The rate of change of P(t) is greatest when t is small and decreases as t increases. For example, the rate of change of P(t) is greatest in 1986, when t = 1, and decreases as t increases. The rate of change of P(t) is approaching 0 as t approaches infinity because P(t) is approaching 0.

(d) The population of the town is decreasing over time. We can verify this by computing limt→∞P(t) = 0 since P(t) is an exponential function that is decreasing over time. Therefore, we expect the population of the town to approach 0 in the long term.

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Answer:

-2

Step-by-step explanation:

2x6= - 2

Answer:

(-2)6

Step-by-step explanation:

Answer:

The total distance David has to travel 20 miles.

The speed limit is 30 mph. He leaves supermarket at 18 10 , he has 50 minutes to get home before 1900.

when traveling within the speed limit he can reach on time because he has to travel only 20 miles which is possible and it won't take him 1 hour according to the 30 mph speed limit.

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Answer:false

Step-by-step explanation:

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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The probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times is 2/3, or approximately 0.6667.

To find the probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times, we need to calculate the probability of a single roll resulting in a sum of 12 and then multiply it by the number of ways we can choose one roll out of the 24 rolls.

The probability of a single roll resulting in a sum of 12 can be determined by counting the favorable outcomes. In this case, there is only one favorable outcome: rolling a 6 on one die and a 6 on the other die.

Since each die has 6 sides, the total number of outcomes for rolling two dice is 6 * 6 = 36.

Therefore, the probability of a single roll resulting in a sum of 12 is 1/36.

Now, we need to consider the number of ways we can choose one roll out of the 24 rolls. This can be calculated using the combination formula:

Number of ways = 24 choose 1 = 24

Finally, we multiply the probability of a single roll resulting in a sum of 12 by the number of ways we can choose one roll:

Probability = (1/36) * 24 = 2/3

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Construct a 95% confidence interval for the expected difference in average test scores between the small class (Classroom A) and the regular class (Classroom B),

a. You can follow these steps:
1. Refer to column (4) of Table 13.2 and find the results for the regressors.
2. Calculate the standard error of the difference in average test scores using the formula:
  SE(difference) = sqrt[SE(Classroom A)^2 + SE(Classroom B)^2]
  where SE(Classroom A) and SE(Classroom B) are the standard errors for each class.
3. Calculate the margin of error (ME) by multiplying the critical value (z*) corresponding to a 95% confidence level by the standard error (SE).
4. Finally, construct the confidence interval by subtracting the margin of error from the difference in average test scores and adding it to the difference in average test scores.

b. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to account for the difference in teacher experience as a regressor.

c. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to consider both the class type and teacher experience as regressors.

d. The intercept is missing from column (4) because it represents the expected average test score when all the regressor variables are equal to zero. In this case, the intercept is not relevant to the question being asked, so it is not included in the table.

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