in fraction, 2 3/4 divided by 11/12


please help :c

The correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

To determine if the vectors v1 = (a, 1), v2 = (-4, a), and v3 = (4, 6) are linearly independent, we can check the determinant of the matrix formed by these vectors. If the determinant is not equal to zero, the vectors are linearly independent. Otherwise, they are linearly dependent.

The matrix is:
| a, -4, 4 |
| 1,  a, 6 |

The determinant is: a * a * 1 + (-4) * 6 * 4 = a^2 - 96.

Now, we want to find the real number(s) a for which the determinant is not equal to zero:

a^2 - 96 ≠ 0
a^2 ≠ 96

So, the vectors are linearly independent if a^2 is not equal to 96. This occurs for all real numbers a, except for a = ±√96. Therefore, the correct answer is (c) The vectors are linearly independent for all real numbers a, excluding a = ±√96.

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Answer:

$3.039

Step-by-step explanation:

Step 1

They bought 2 pounds of paper hearts at $ 3.42 per pound

1 pound = $3.42

2 pounds =

2 × $3.42

= $6.84

2 pounds of sparkling stars for $ 3.93 per pound

1 pound of sparking stars = $3.93

2 pounds =

$3.93 × 2

= $7.86

5 pounds of shiny coils for $ 2.53 per pound.

1 pounds of shiny coils = $2.53

5 pounds =

5 × $2.53

= $12.65

Step 2

We find the total cost of the materials

Total cost of Materials that make up the confetti = Cost of paper heart + Cost of sparkling stars + Cost of shiny coils.

= $6.84 + $7.86 + $12.65

= $27.35

Step 3

Total pounds of materials bought = 2 pounds + 2 pounds + 5 pounds

= 9 pounds

Step 4

The cost per pound of confetti = Total cost of the materials bought/ Total pounds of materials

= $27.35/9

= $3.0388888889

Approximately ≈ $3.039

The cost per pound of the confetti = $3.039

The cost per pound of the confetti is  $3.04

Given that, they bought 2 pounds of paper hearts at $ 3.42 per pound.

The cost of 2 pounds of paper hearts is, \(=2 *3.42=6.84\)

the 2 pounds of sparkling stars for $ 3.93 per pound

The cost of 2 pounds of sparkling stars is, \(=$3.93 * 2=7.86\)

the 5 pounds of shiny coils for $ 2.53 per pound.

The cost of 5 pounds of  shiny coils is, \(=5 * $2.53=12.65\)

Total cost of confetti is,

                         \(= $6.84 + $7.86 + $12.65=27.35\)

Total pounds of materials bought ,

                          \(=2+2+5=9pounds\)

The cost per pound of confetti is,

                         \(=\frac{27.35}{9}=3.04\)

The cost per pound of the confetti  is $3.039

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The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

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Answer:

00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Answer:

I think it's 100

Step-by-step explanation:

90 rounded to nearest ten is 90, and 90 rounded to the nearest hundred is 100

Answer:

A fair die has 6 sides.

There are 3 odd numbers on a fair die so the probability would be 3/6

There are 4 numbers greater than 2 on a fair die o the probability of that would be 4/6

There is only one number that will make it square and that is 4. So the probability would be 1/6

Whether the population standard deviation is known or unknown affects the expression used for the interval estimate. Hence, option c. is the right response.

The expression used to compute an interval estimate of a population parameter (such as the mean) depends on the sample size, whether there is sampling error, and whether the population has an approximately normal distribution.

However, whether the population standard deviation is known or unknown also affects the expression used for the interval estimate.

If the population standard deviation is known, a z-score can be used in the calculation, whereas if it is unknown, a t-score is used and the sample standard deviation is used as an estimate for the population standard deviation. Therefore, c is the factor that does affect the expression used for the interval estimate.

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

25-5x=y

Step-by-step explanation:

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

P(odd number)= \(\frac{3}{6}\)

                        =\(\frac{1}{2}\)

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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It is False to state that the age distribution of a population is not important when considering the growth rate of that population.

Population growth is the rise in the number of inhabitants in a population or scattered group and it is usually stated in percentage.

Researchers often focus on four primary elements when forecasting changes in population size:

Other factors include:

Age distribution and statistics allow the pace of population growth to rise or decline as it is linked to the level of economic development of a population.  a fast-expanding country's population has a pyramid-shaped age structure, with a higher share of younger people of reproductive age.

Therefore, we can conclude that it is False to state that the age distribution of a population is not important when considering the growth rate of that population.

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Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

Answer:

where the table??

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The ladder's base travels away from the property at a rate of -2.16 ft/s, whereas the peak of the staircase is 5 feet above the ground.

Let x = elevation in floors and bottom of the ladder.

Let y = the distance between the ladder's bottom and top.

The point of focus, x = 5 ft,

\(\frac{dy}{dx}\) = 2 ft/sec.

While x and y fluctuate as the ladder descends, the hypotenuse of a right-angled triangle illustrated remains constant at 10 feet. As a result, the Pythagorean theorem extends:

x² + y² = (13)² = 169

The derivative among both sides of the equation is about time. Keep in mind the chain rule.

\(\frac{d}{dt}\)(x² + y²) = \(\frac{d}{dt}\)(169)

2x\(\frac{dx}{dt}\) + 2y\(\frac{dy}{dt}\) = 0

The value of \(\frac{dy}{dt}\) at x = 5 and \(\frac{dx}{dt}\) = 2 ft/sec,

So,

2x\(\frac{dx}{dt}\) + 2y\(\frac{dy}{dt}\) = 0

2y\(\frac{dy}{dt}\) = -2x\(\frac{dx}{dt}\)

\(\frac{dy}{dt}\) = (-x ÷ y)\(\frac{dx}{dt}\)

Through the Pythagorean theorem, the value of y is somewhere at the instant when x = 5.

(5)² + y² = 169

25 + y² = 169

y² = 144

y = 12

Substituting all of the known values into the equation \(\frac{dy}{dt}\) = (-x ÷ y)\(\frac{dx}{dt}\),

\(\frac{dy}{dt}\) = (-13 ÷ 12) × 2

\(\frac{dy}{dt}\) = -2.16 ft/s

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Answer:

37=18q+1

subtract 1 on both sides

then divide both sides by 18

q=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\sf 37=18q+1\)

\(\sf 18q+1=37\)

Subtract 1 from both sides:-

\(\sf 18q+1-1=37-1\)

Simplify:-

\(\sf 18q=36\)

Divide both sides by 18:-

\(\sf \cfrac{18q}{18}=\cfrac{36}{18}\)

\(\sf q=2\)

_____________________

Hope this helps!

Have a great day!

a. H0: The proportion of physicians currently offering free or reduced-rate health care is equal to 0.94, Ha: The proportion is not equal to 0.94. b. The p-value would need to be calculated using a two-proportion z-test. c. The conclusion for the hypothesis test would depend on the calculated p-value and the chosen significance level (alpha).

a. The null hypothesis (H0): The proportion of physicians currently offering free or reduced-rate health care to fellow physicians is equal to 0.94 (the proportion observed in 1986). The alternative hypothesis (Ha): The proportion of physicians currently offering free or reduced-rate health care to fellow physicians is not equal to 0.94.

b. To calculate the p-value, we can use a two-proportion z-test. We compare the observed proportion (p) of physicians currently offering free or reduced-rate health care to the expected proportion (p0) of 0.94.

The test statistic for a two-proportion z-test is calculated as:

\(z = (p_1 - p_2) / √(p_0 * (1 - p_0) * (1/n_1 + 1/n_2))\)

Once we have the value of z, we can find the p-value by comparing it to the standard normal distribution.

c. To draw a conclusion for the hypothesis test, we compare the p-value to the significance level (alpha), which is typically set at 0.05.

If the p-value is less than alpha (p-value < 0.05), we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of physicians currently offering free or reduced-rate health care is different from 0.94.

If the p-value is greater than or equal to alpha (p-value >= 0.05), we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the proportion has significantly changed from 0.94.

Note: The exact p-value can be calculated using statistical software or a standard normal distribution table.

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Zorch would need to exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

To determine the time required for Zorch to accomplish his goal, we can follow the steps in the Problem-Solving Strategy for Rotational Dynamics:

Step 1: Identify what is given and what is asked for.

Given:

Force exerted by Zorch: 3.70×10^7 N

Desired period of Earth's rotation: 35.0 hours

Asked for:

Time Zorch must push with this force

Step 2: Identify the principle(s) or equation(s) needed to solve the problem.

The principle of rotational dynamics that we can use is:

Torque (τ) = Inertia (I) × Angular Acceleration (α)

Step 3: Set up the problem.

Zorch wants to slow down Earth's rotation, which means he wants to decrease its angular velocity. To do this, he needs to exert a torque in the opposite direction of Earth's rotation. The torque required can be calculated as:

τ = I × α

Step 4: Solve the problem.

The inertia (I) of Earth can be approximated as I = 0.330 × 10^38 kg·m² (a known value).

The angular acceleration (α) can be calculated using the equation:

α = Δω / Δt

Since Zorch wants to slow Earth's rotation to once per 35.0 hours, the change in angular velocity (Δω) is given by:

Δω = 2π / (35.0 hours)

Now, we can rearrange the equation τ = I × α to solve for time (Δt):

Δt = τ / (I × α)

Substituting the given values, we get:

Δt = (3.70×10^7 N) / (0.330 × 10^38 kg·m² × (2π / (35.0 hours)))

Evaluating this expression will give us the time required for Zorch to push with the given force. The result is approximately 1.15 years.

Therefore, Zorch must exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

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Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer: 25°

Step-by-step explanation:

So we know that the right angle equals 90°.

And we know that all the angles of a triangle have to add up to 180°.

Also angle x and the exterior angle that is 115° are supplementary, so they have to add up to 180°. So we have to subtract 180 - 115 = 65.

So our equation for y is:

y + 65 + 90 = 180

y + 155 = 180

y = 25

So y = 25°

Hope this helps!!! :)

Answer:

2

Step-by-step explanation:

First you need to get both fractions with a common denominator, so get 3/4 into a fraction with 8 as the denominator.  Multiply the top and bottom by 2, you get 6/8.  Now you divide the total distance by the distance from the water station, and you get 48/24, simplify and this is equal to 2.

if we take 34000(origin amount) to be the 100%, what is 6200 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 34000 & 100\\ 6200& x \end{array} \implies \cfrac{34000}{6200}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 170 }{ 31 } ~~=~~ \cfrac{ 100 }{ x }\implies 170x=3100\implies x=\cfrac{3100}{170}\implies x\approx 18.24\)

Answer:

AC²=AB²-BC²=13²-10²=169-100=69

AC=√69=~8.3

Step-by-step explanation:

reciproque de pytaghore to solve AC

Answer:

A) (i) a = 95° (180 - 85), b = 85° (180 - 95), c = 85° (180 - 95), d = 95° (180 - 85)

A) (ii) a = 103° (180 - 77), b = 77° (180 - 103), c = 103° (180 - 77), d = 77° (180 - 103)

B) (i) 95 + 85 + 85 + 95 = 360°

B (ii) 103 + 77 + 103 + 77 = 360°

Tip: Angles on a straight line add to 180°

Hope this helps!

The algebraic expression that represents the given phrase is b + 15 = 180.

The algebraic expression that represents the phrase "the sum of the number of boys and 15 girls is 180" is:b + 15 = 180Explanation:Let's assume that the number of boys is "b".

According to the question, the total number of students in the class can be calculated by adding the number of boys (b) to the number of girls (15) which is equal to 180 students.Using algebra,

we can write this statement as an equation: b + 15 = 180Hence, the algebraic expression that represents the given phrase is b + 15 = 180

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As we can see, the equality is equal for only one value of xx, which was the same as the one we found in part (a).
(a) \(x = \frac{L\pi }{4+\pi }\)
(b) True
(c) Yes

What is maximum and minimum?

The smallest value in the data set is the minimum. The largest value in the data set is the maximum.

(a) The circumference of the circle is xx, which means that

\(P_ 1= 2\pi r\\x = 2\pi r\\r = \frac{x}{2\pi }\)

The area of the circle is,

\(A_c = \pi r^2\\A_c = \frac{x^2}{4\pi }\)

The circumference of the square is L - x, which means

\(P_2 = 4a \\L-x=4a\\a = \frac{L-x}{4}\)

The area of the square is,

\(A_s = a^2\\A_s=\frac{(L-x)^2}{16}\)

The sum of the areas of the circle and the square is

\(A = A_c + A_s\\A = \frac{x^2}{4\pi } +\frac{(L-x)^2}{16} \\A = \frac{4x^2+(L-x)^2\pi \pi }{16\pi } \\A = \frac{4x^2+(L^2 -2Lx+x^2)\pi }{16\pi } \\A = \frac{(4+\pi )x^2-2Lx\pi +L^2\pi }{16\pi }\)

The derivative of the function of the total area is

\(A = \frac{4+\pi }{8\pi }x-\frac{L}{8}\)

We solve the equation A'(x) = 0

\(\frac{4+\pi }{8\pi }x-\frac{L}{8}=0\\ \frac{4+\pi }{\pi }x=L\\ x = \frac{L\pi }{4+\pi }\)

So, \(x = \frac{L\pi }{4+\pi }\) is a critical point A, and it is a global minimum of A since

\(A"(x) = \frac{4+\pi }{8\pi } > 0\) for all x.

(b) The area of the circle for \(x = \frac{L\pi }{4+\pi }\) is

\(A_c = \frac{(\frac{L\pi }{4+\pi } )^2}{4\pi } \\A_c = \frac{(\frac{L^2\pi ^2}{(4+\pi )^2} )}{4\pi } \\A_c= \frac{L^2\pi }{4(4+\pi )^2}\)

The area of the square for \(x = \frac{L\pi }{4+\pi }\)  is

\(A_s = \frac{(L-\frac{L\pi }{4+\pi } )^2}{16}\)

The ratio of the area is,

\(\frac{A_s}{A_c} = \frac{(\frac{(L-\frac{L\pi }{4+\pi })^2 }{16} )}{(\frac{L^2\pi }{4(4+\pi )^2} )}\)

\(= \frac{(L - \frac{L\pi }{4+\pi })^2 }{16}*\frac{4(4+\pi )^2}{L^2\pi } \\ = \frac{L^2-\frac{2L^2\pi }{4+\pi }+(\frac{L\pi }{4+\pi } )^2 }{4} *\frac{(4+\pi )^2}{L^2\pi } \\= \frac{(4+\pi)^2 }{4\pi }-\frac{4+\pi }{2}+\frac{\pi }{4}\\ = \frac{4}{\pi }\)

The ratio of the length of wire in the square to the length of wire in the circle for \(x = \frac{L\pi }{4+\pi }\)  is

\(\frac{L-x}{x} =\frac{L-\frac{L\pi }{4+\pi } }{\frac{L\pi }{4+\pi } } \\= \frac{\frac{4L}{4+\pi } }{\frac{L\pi }{4+\pi } } \\= \frac{4}{\pi }\)

As we can see (1) = (2)

(c) To prove this, we solve the equation

\(\frac{A_s}{A_c} = \frac{L-x}{x} \\ \frac{\frac{(L-x)^2}{16} }{\frac{x^2}{4\pi } } = \frac{L-x}{x}\\ \frac{(L-x)^2}{4}*\frac{\pi }{x^2} = \frac{L-x}{x} \\ \frac{L-x}{4} *\frac{\pi }{x} =1\\L\pi -\pi x=4x\\L\pi = (4 + \pi )x\\x = \frac{L\pi }{4+x}\)

As we can see, the equality is equal for only one value of xx, which was the same as the one we found in part (a).

Hence,

(a) \(x = \frac{L\pi }{4+\pi }\)

(b) True

(c) Yes

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Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

Answer:

hey there

x = 4

Step-by-step explanation:

Let's solve your equation step-by-step.

−8−x=x−4x

Step 1: Simplify both sides of the equation.

−8−x=x−4x

−8+−x=x+−4x

−x−8=(x+−4x)(Combine Like Terms)

−x−8=−3x

−x−8=−3x

Step 2: Add 3x to both sides.

−x−8+3x=−3x+3x

2x−8=0

Step 3: Add 8 to both sides.

2x−8+8=0+8

2x=8

Step 4: Divide both sides by 2.

2x/2  = 8/2

x= 4

have a good day!!!

Answer:

x= 4

Isolate the variable by dividing each side by factors that don't contain the variable.