Partition each whole number interval into fourths. Label 7/4 and 9/4

Answer:

Step-by-step explanation:

I used to do these as a kid! theyre pretty fun :)

for the first one:

the sum has to be 9. (as we can see from the first row).

the middle box in the last row will be -1. (since two boxes fill to be 10, you subtract 1 to get to 9)

and so on. it solves itself. use similar tactics for all others.

1:

0 7 2

5 3 1

4 -1 6

2:

1 2 6

8 3 -2

0 4 5

3:

3 -2 5

4 2 0

-1 6 1

The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

We have,
1. First, calculate the sample proportion (p) by dividing the number of students with part-time jobs (207) by the total number of students surveyed (460): p = 207/460 ≈ 0.450

2. Calculate the standard error (SE) using the formula SE = √(p (1 - p)/n), where n is the sample size:

SE ≈ √(0.450(1 - 0.450)/460) ≈ 0.046

3. Find the critical value (z) for a 90% confidence interval, which is 1.645.

4. Calculate the margin of error (ME) using the formula ME = z x SE:

ME ≈ 1.645 x 0.046 ≈ 0.076

5. Find the lower and upper limits of the confidence interval by adding and subtracting the margin of error from the sample proportion:

Lower limit ≈ 0.450 - 0.076 ≈ 0.374,

Upper limit ≈ 0.450 + 0.076 ≈ 0.526

Thus,
The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

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The term you are looking for is the proportion of the total variation in the dependent variable explained by the regression model (or independent variable), which is known as the A) coefficient of determination.

The coefficient of determination, also known as R-squared, is a statistical measure that indicates the proportion of the total variation in the dependent variable that is explained by the regression model or independent variable. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. The other terms mentioned - variable, proportion, and independent - are all related to the concept of regression analysis, which is used to identify the relationship between a dependent variable and one or more independent variables, and to quantify the extent to which changes in the independent variables affect the dependent variable.

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Answer: 206

360 (full circle/angle) - 64 = 296

296 - 42 = 254

254 - 48 = 206

x = 206*  GUYS THE ANSWER IS 206 not 360

The number of unemployed people in Apexico in February 2008 was 10,080,000. So, correct option is A.

To calculate the number of unemployed people in Apexico in February 2008, we can use the following formula:

Number of Unemployed = Total Population x Unemployment Rate

Substituting the given values:

Number of Unemployed = 168,000,000 x 0.06 = 10,080,000

Option A is the correct answer.

This calculation is based on the assumption that the unemployment rate is constant across the entire population of Apexico.

This calculation provides a rough estimate of the number of unemployed people in Apexico in February 2008, but it should be interpreted with caution.

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Answer:

146in2

Step-by-step explanation:

i dont like explaining but im in the test to

Since the number of digits is even, we have n = 2k for some integer k, and thus the sum has k pairs. This means that the sum is divisible by 11, and therefore the palindromic integer is also divisible by 11.

To prove that every palindromic integer with even number of digits is divisible by 11, we can use the following approach:

Let's consider an arbitrary palindromic integer with an even number of digits. We can represent it as follows:

a1a2a3...an-2an-1anan-1an-2...a3a2a1

where a1, a2, ..., an-1, an are digits.

Now, we can group the digits in pairs:

a1a2, a3a4, ..., an-2an-1, anan-1

and compute their sum:

(a1a2 + a3a4 + ... + an-2an-1 + anan-1)

We notice that the sum of the first and last pairs is equal to the sum of the second and second-to-last pairs, and so on. This means that the sum can be written as:

(a1a2 + anan-1) + (a3a4 + an-2an-1) + ...

Now, we can factor out 11 from each pair:

(a1a2 + anan-1) + (a3a4 + an-2an-1) + ... = 11*(a1 - an) + 11*(a2 - an-1) + ...

Since the number of digits is even, we have n = 2k for some integer k, and thus the sum has k pairs. This means that the sum is divisible by 11, and therefore the palindromic integer is also divisible by 11.

Therefore, we have proved that every palindromic integer with an even number of digits is divisible by 11.

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Answer:

x + y = -12 + 30 = 18

Step-by-step explanation:

To solve this system of equations, we can use the elimination method. Multiplying the first equation by 3, we get:

9x + 3y = -18

Adding this to the second equation, we eliminate the x terms:

9x + 3y = -18

-3x - 4y = -12

-----------------

-y = -30

Solving for y, we get y = 30. Substituting this back into either equation, we can solve for x:

3x + 30 = -6

3x = -36

x = -12

Therefore, x + y = -12 + 30 = 18.

Therefore, the percent increase in temperature is approximately 65.44%.

The percent increase in temperature, we need to find the difference between the initial and final temperatures, divide that by the initial temperature, and then multiply by 100 to get a percentage:

Calculate the variation between the initial and end values. Subtract the beginning value from its absolute value. Add 100 to the result.  

Even in a low-emission scenario, the earth is predicted to rise by two degrees Celsius by 2050, suggesting that we might not be able to keep the Paris Agreement. Compared to the average temperature between 1850 and 1900, the global temperature has increased by 1.1°C.

percent increase = ((final temperature - initial temperature) / initial temperature) x 100

In this case:

percent increase = ((1034 - 625) / 625) x 100

percent increase = (409 / 625) x 100

percent increase = 65.44%

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Note that this prompt examines the given data using scatter plot whose details is analyzed below.

1) The scatter plot showing the relationship between the numbers of points scored and the numbers of rebounds is attached.

2) The association between the numbers of points scored and the numbers of rebounds is a positive one. This means that generally, there is a tendency to get more points when the number of rebounds is high.

3) No, we cannot conclude that greater numbers of points scored cause

greater or lesser numbers of rebounds. This would be an inverse relationship which contradicts our findings above.

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The image of the point after the reflection over the y-axis is (-3, 6)

For any point of the form (x, y), a reflection across the y-axis just changes the sign of the x-value.

Then the reflection gives:

(x, y) ---> (-x, y)

Here we apply this reflection to the point (3, 6), then we will get:

(3, 6) ---> (-3, 6)

That is the image after the reflection over the y-axis, then the correct option is the fourth one.

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The event that have a sample space of h and t would be Flipping a fair, two-sided coin. That is option A.

To calculate the possibility of selecting an outcome form an event the formula that should be used is given as follows;

Probability = possible outcome/sample space.

For a coin, the possible sample space = H and T when flipped only once.

Therefore, the event that have a sample space of h and t would be Flipping a fair, two-sided coin.

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The experimental probability that the next client to get a haircut at Cameron's salon will have blond hair is 2/9.

To find the experimental probability of a client having blond hair, we need to divide the number of clients with blond hair by the total number of clients.

In this case, we know that there are a total of 7 + 7 + 4 = 18 clients who get haircuts at Cameron's salon.

Out of these 18 clients, only 4 have blond hair.

So, the experimental probability of the next client having blond hair is:

Experimental probability of having blond hair = Number of clients with blond hair / Total number of clients

Experimental probability of having blond hair = 4 / 18

Experimental probability of having blond hair = 2 / 9

Experimental probability is based on observation and is not necessarily an accurate representation of the true probability. To get a more accurate estimate of the probability, a larger sample size would be needed.

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Therefore, the rate of change of revenue per unit when the cost per unit is changing by $12 and the revenue is $4500 is approximately 12.444 dollars per unit of revenue per dollar increase in cost.

The rate of change of revenue per unit when the cost per unit is changing by $12 and the revenue is $4500, we need to find dR/dC when C changes by 12 and R is 4500.

From the given equation, we know that:

C = [tex]R^2/112,000 + 5807[/tex]

Taking the derivative of both sides with respect to R, we get:

dC/dR = 2R/112,000

Solving for dR/dC, we get:

dR/dC = 1/(dC/dR) = 112,000/(2R)

When the cost per unit changes by $12, the new cost is:

C + dC = [tex]R^2/112,000 + 5807 + 12[/tex]

And when the revenue is $4500, we have:

R = 4500

Values into the expression for dR/dC, we get:

dR/dC = 112,000/(2 * 4500)

= 12.444

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To set up the payoff matrix for the variation of the Heads or Tails game, we need to create a 2x2 matrix with the possible outcomes and their corresponding point values.

The payoff matrix will look like this:

          Friend
            H   T
         ---------
You  H  |  -5  5
         ---------
    T  |   3  -3

In this matrix, the rows represent your choices (Head or Tail), and the columns represent your friend's choices (Head or Tail). The numbers in the matrix indicate the points you receive for each combination of choices. A positive number means you gain points, while a negative number means your friend gains points.

For example, if both you and your friend call "heads" (H), your friend wins 5 points, so the value in the corresponding cell is -5. If you call "heads" (H) and your friend calls "tails" (T), you win 5 points, so the value in the corresponding cell is 5. If you call "tails" (T) and your friend calls "heads" (H), you win 3 points, so the value in the corresponding cell is 3. Finally, if both you and your friend call "tails" (T), your friend wins 3 points, so the value in the corresponding cell is -3.

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Answer:

[tex]SA=1657 cm^2[/tex]

Step-by-step explanation:

Surface Area Formula for Rectangular Prism.

[tex]SA=2*[ (l*h) + (w*h) + (l*w)][/tex]

Your l = 15 cm , w = 6.5 cm , and h = 34 cm.

Plug these values into the equation.

[tex]SA=2*[ (15*34) + (6.5*34) + (15*6.5)][/tex]

[tex]SA=2*[(510)+(221)+(97.5)][/tex]

[tex]SA=2*[510+221+97.5][/tex]

[tex]SA=2*(828.5)[/tex]

[tex]SA=1657 cm^2[/tex]

The English statement "the quotient of x and 9 is greater than 27" can be represented mathematically as x/9 > 27.

This inequality indicates that the value of x divided by 9 is greater than 27. In other words, x is a number that is more than 27 times 9.

For example, let's say we want to find all the values of x that satisfy this inequality. We can begin by dividing both sides by 9, which gives us:x > 243 So any value of x that is greater than 243 will satisfy the inequality.

For instance, x could be 300 or 500 or any other number larger than 243. Alternatively, we can subtract 27 from both sides to get: x/9 - 27 > 0 This form shows that the difference between x divided by 9 and 27 is positive.

We can then find the range of x that satisfies this inequality by multiplying both sides by 9: x - 243 > 0 This tells us that any value of x that is greater than 243 will satisfy the inequality.

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According to the concept of probability, there is a 48% chance that a participant who received a placebo will report an improvement.

Of those who received medication A, 56% reported an improvement. This means that the probability of a participant receiving medication A and reporting an improvement is 0.56.

On the other hand, of those who received the placebo, 52% reported no improvement. We can use this information to find the probability of a participant receiving a placebo and reporting an improvement.

To do this, we can use the complement rule of probability, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is a participant receiving a placebo and reporting an improvement. So, the probability of this event happening is equal to 1 minus the probability of a participant receiving a placebo and not reporting an improvement, which is 0.52.

Therefore, the probability of a participant receiving a placebo and reporting an improvement is:

P(placebo and improvement) = 1 - P(placebo and no improvement)

= 1 - 0.52

= 0.48 or 48%.

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The equation for a circle with centre (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2. To find the point where the line with equation y = mx intersects the circle in the first quadrant, we can substitute y = mx into the equation for the circle.

(x-h)^2 + (mx-k)^2 = r^2
Expanding and simplifying:
x^2 - 2hx + h^2 + m^2x^2 - 2kmx + k^2 = r^2
Grouping the x terms:
(1 + m^2)x^2 - 2(h+km)x + h^2 + k^2 - r^2 = 0
This is a quadratic equation in x, which we can solve using the quadratic formula:
x = [2(h+km) ± sqrt(4(h+km)^2 - 4(1+m^2)(h^2+k^2-r^2))] / 2(1+m^2)
Simplifying:
x = (h+km) ± sqrt[(h+km)^2 - (h^2+k^2-r^2)m^2] / (1+m^2)
Since we're looking for a point in the first quadrant, we want the positive solution for x. Once we find x, we can plug it back into y = mx to get the y-coordinate of the point.
Note that there may be 0, 1, or 2 solutions depending on the specific values of h, k, r, and m. If there are 2 solutions, one will be in the first quadrant and the other in the fourth quadrant. If there is 1 solution, it will be on the border between the first and fourth quadrants. If there are 0 solutions, the line does not intersect the circle in the first quadrant.

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The standard deviation may or may not be dependent, as it depends on the nature of the data being analyzed.

When using a dependent samples t-test, the sample consists of two related groups that are being compared to each other.

Therefore, it is not true that there is only one mean or that the sample consists of only one group.

Additionally, the standard deviation may or may not be dependent, as it depends on the nature of the data being analyzed.

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There is only one point of inflection. Answer: d) 3

The second derivative of the function f(x) is:

[tex]f''(x) = 126x^5 + 40x^3 - 5[/tex]

The second derivative of a function is the derivative of its first derivative. It is denoted represents the rate of change of the slope of the function.

In other words, if the first derivative f'(x) represents the slope of the function, the second derivative f''(x) represents the rate at which the slope is changing.

The points of inflection occur where the concavity changes, that is where the second derivative changes sign or equals zero.

Setting f''(x) = 0, we have:

[tex]126x^5 + 40x^3 - 5 = 0[/tex]

This equation has only one real solution, which can be found numerically:

x ≈ 0.357

Therefore, there is only one point of inflection. Answer: d) 3

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it is 95% confident that the true proportion of heads in a large number of tosses of this coin lies between 0.4969 and 0.5165.

a) The proportion of heads obtained in the experiment is

[tex]\frac{5067}{10000} = 0.5067[/tex]. The null hypothesis is that the coin is unbiased, which means the probability of getting a head is 0.5. The standard error (SE) of the proportion is given by

[tex]SE = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{(0.5)(0.5)}{10000} } = 0.005[/tex]

The test statistic is [tex]Z=\frac{(P-0.5)}{SE} = \frac{0.5067-0.5}{0.005} = 1.34[/tex]. The one-tailed p-value for this test is P(Z > 1.34) = P(Z < -1.34) = 0.0901 (assuming a significance level of 0.1). Since this p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that the data do not provide evidence that the coin is biased.

b) The margin of error (m) for a 95% confidence interval is given by                                 m = 2SE = 0.01. The critical value for a 95% confidence interval is z= 1.96. Therefore, the 95% confidence interval for the true proportion of heads is given by P +/- mz' = 0.5067 +/- 0.01*1.96 = (0.4969, 0.5165).

In summary, we can say that based on the given information, the data do not provide evidence that the coin is biased and we are 95% confident that the true proportion of heads in a large number of tosses of this coin lies between 0.4969 and 0.5165.

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We can see that the constant of proportionality between x and y is k = 8, using that we can see that when x = 12 the value of y is 96

We know that x and y vary directly, then we can write the equation that relates these variables as.

y = kx

Where k is a constant

We know that y = 48 when x = 6, then we can write.

48 = k*6

48/6 = k

8 = k

The relation is:

y = 8*x

Then if x = 12, we have.

y = 8*12

y = 96

That is the value of y.

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Answer:

1,560 miles / (3 days × 8 hours/day) =

1,560 miles / 24 hours = 65 miles per hour

The correct interpretation of the given results is that 22.42% of the variation in the dependent variable is explained by the independent variable, the model as a whole is significant, and the p-value is very small.

The output is from a linear regression model. Here are the interpretations of the given results:

The residual standard error is a measure of the variability of the errors in the model. It tells us how much the actual responses deviate from the predicted responses on average. In this case, the residual standard error is 21.38, which means that the typical prediction error is about 21.38 units.

The multiple R-squared is a measure of how well the model fits the data. It represents the proportion of the variance in the dependent variable (y) that is explained by the independent variable(s) (x). The R-squared value ranges from 0 to 1, where 0 means the model does not explain any variation in the dependent variable, and 1 means the model explains all the variation. In this case, the R-squared value is 0.2242, which means that 22.42% of the variation in the dependent variable is explained by the independent variable.

The adjusted R-squared value is similar to the R-squared value, but it takes into account the number of independent variables in the model. It penalizes the model for including unnecessary variables. In this case, the adjusted R-squared value is 0.2189, which is slightly lower than the R-squared value, indicating that the model may have some unnecessary variables.

The F-statistic is a test of the overall significance of the model. It tests whether at least one of the independent variables in the model is significantly related to the dependent variable. The F-statistic value is compared to the F-distribution with degrees of freedom (1, 145) to calculate a p-value. In this case, the F-statistic is 41.91, which means that the model as a whole is significant, and the p-value is very small (1.384e-09), indicating strong evidence against the null hypothesis that all the regression coefficients are zero.

Therefore, the correct interpretation of the given results is that 22.42% of the variation in the dependent variable is explained by the independent variable, the model as a whole is significant, and the p-value is very small.

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A.Hence proved dy/dx = (2x - 5y)/(5x + 2y). B. The slope of the tangent line at any point on the curve when x=2 is given by (4-5y)/(10+2y). C. The curve has a vertical tangent line at x = 5/√29. D. The x-axis is increasing at a rate of 60 square units per unit time at time t=3. D. The value of da/dt at time t=3 is 60.

A. To show that dy/dx = (2x-5y)/(5x+2y), we differentiate the given equation with respect to x using implicit differentiation:

2x - 2y(dy/dx) - 5y - 5x(dy/dx) = 0. Simplifying and solving for dy/dx, we get:

dy/dx = (2x - 5y)/(5x + 2y)

B. To find the slope of the line tangent to the curve at each point when x=2, we substitute x=2 into the expression we derived in part A:

dy/dx = (2(2) - 5y)/(5(2) + 2y) = (4-5y)/(10+2y)

C. To find the positive value of x at which the curve has a vertical tangent line, we need to find where the slope dy/dx becomes infinite. This occurs when the denominator of dy/dx equals zero, which is when: 5x + 2y = 0

Solving for y in terms of x, we get:

y = (-5/2)x

Substituting this into the equation for the curve, we get:

[tex]x^2 - (-5/2)x^2 - 5x(-5/2)x = 25[/tex]

Simplifying and solving for x, we get:

[tex]x = 5/√29[/tex]

or

[tex]x = -5/√29[/tex]

D. To find the value of da/dt at time t=3, we first use the chain rule to get:

2x(dx/dt) - 2y(dy/dt) - 5y(dx/dt) - 5x(dy/dt) = 0. We are given that x=5, y=0, and dy/dt=-2 when t=3. Substituting these values into the equation above and solving for dx/dt, we get:

dx/dt = (5dy/dt)/(2x-5y) = -10/25 = -2/5 Substituting these values into the expression for da/dt, we get:

[tex]da/dt = 2(5)^2 - 2(0)^2 - 5(0)(-2/5) - 5(5)(-2) = 60[/tex]

So the value of da/dt at time t=3 is 60. This means that the area enclosed by the curve.

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Answer:

B

Step-by-step explanation:

Using the same yearly contribution of $5,000 and an average annual rate of return of 6.5%, starting at age 40 instead of 35, the total balance at retirement age of 65 would be $359,978.25.

To calculate this, we can use the future value formula:

FV = PV x (1 + r)^n

where FV is the future value, PV is the present value (initial contribution), r is the interest rate per period, and n is the number of periods.

If we start at age 40 and contribute $5,000 per year for 25 years (until age 65), the present value would be $0 (since we haven't made any contributions yet) and the number of periods would be 25. The interest rate per period would be 6.5% / 1 = 0.065.

Using these values in the future value formula, we get:

FV = $5,000 x ((1 + 0.065)^25 - 1) / 0.065 = $359,978.25

Therefore, the difference in the account balances between starting at age 35 and starting at age 40 would be:

$431,874.32 - $359,978.25 = $71,896.07

So the correct answer is option B: $359,978.25.

the point (1,5), the curve is relatively flat with a small curvature of approximately 0.034. As x approaches 0, the curvature increases infinitely, indicating that the curve is becoming more and more sharply curved near the origin.

The curvature (k) of the function y =

[tex]5x^4[/tex]

can be calculated using the formula k =

[tex]|f ″(x)| / [1 + (f ′(x))^2]^1.5[/tex]

where f ′(x) and f ″(x) are the first and second derivatives of the function, respectively.

Taking the first derivative of y =

[tex]5x^4[/tex]

yields f ′(x) =

[tex]20x^3[/tex]

and taking the second derivative yields f ″(x) =

[tex]60x^2[/tex]

Substituting these values into the curvature formula gives:

k =

[tex]|60x^2| / [1 + (20x^3)^2]^1.5[/tex]

Simplifying this expression gives:

k =

[tex]|60x^2| / [400x^6 + 1]^1.5[/tex]

The curvature at any point on the curve can be found by plugging in the value of x. For example, at x = 1, the curvature is: k =

[tex]|60(1)^2| / [400(1)^6 + 1]^1.5[/tex]

k ≈ 0.034

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Answer:

1. a

2. a

3. b

Step-by-step explanation:

Q1. The equation is 3x+6=30. b c d are all good answers so it has to be a. If you want more details on why a is wrong, if you expand it becomes 3x+18=30 which is wrong

Q2. This one is 4(x+6) = 40 because you have x+6 4 times and it tells you the total is 40. So the one that matches is a.

Q3.

You have 6 plus 4 x which makes a total of 40.

So 6 + 4x = 40. The equation that matches is b.

Hmu if you need more explanation

It has been 16 hours since the time of death.

Stage 1: First 12 hours

12 hours * 1.4F per hour = 16.8F

Stage 2: After 12 hours

Since the body has already cooled 16.8F in the first 12 hours, we only need to find the remaining temperature drop:

19.6F - 16.8F = 2.8F

Now, we can calculate the time taken for the remaining temperature drop using the second cooling rate:

2.8F / 0.7F per hour = 4 hours

Adding the time taken for both stages, we get:

12 hours (Stage 1) + 4 hours (Stage 2) = 16 hours

So, it has been 16 hours since the time of death.

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