Which problem can be solved using the expression 1/3÷1/4 ?

Answer:

63%

Step-by-step explanation:

The coefficient of determination, R^2, represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). To convert the coefficient of determination from a decimal to a percentage, you multiply it by 100.

In this case, the coefficient of determination is given as 0.63. To find the percentage of R^2, we multiply 0.63 by 100:

0.63 * 100 = 63

Therefore, the percent of R^2 is 63%. Thus, the correct answer is option a. 63%.

Answer:

\(y = - \frac{7}{5} x + 59\)

The correct answer is "Rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01."This is because we have evidence to support the research hypothesis that the population mean is not 4, and the result is statistically significant at the 0.01 level.

A 99% confidence interval for a population mean between 3 and 6 implies that there is a 99% chance that the population mean is between 3 and 6. The null hypothesis, H0, is that the population mean is 4. The alternative hypothesis, H1, is that the population mean is not equal to 4.Using the same data, if we test the null hypothesis that the population mean is 4 at the alpha level of 0.01, the result will be rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01.

This is because a 99% confidence interval means that the alpha level is 0.01. Thus, if we test the null hypothesis at the alpha level of 0.01 and get a result that is different from what we expect, then we reject the null hypothesis. Since the 99% confidence interval is between 3 and 6, we can say with 99% confidence that the population mean is not equal to 4, which means that we can reject the null hypothesis that the population mean is 4. Therefore, the correct answer is "Rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01."This is because we have evidence to support the research hypothesis that the population mean is not 4, and the result is statistically significant at the 0.01 level.

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Answer:

  38

Step-by-step explanation:

Sequential pairs will be ...

  38 - 87

  79 - 96

  17 - 74 or 79

  43 - 38

  74 - 43

  96 - (none)

  87 - 74 or 79

We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...

  17 - 74 - 43 - 38 - 87 - 79 - 96

The 4th number in the list is 38.

The surface area, A, is changing at a rate of 288 km/min decreasing.

Given,

Base length, l = 6 km

Height, h = 10 km

dl/dt = -9 km/min

dh/dt = 12 km/min

Surface area of a prism, A = 2 × (lw + lh + wh)

For a square prism,

Length, l = width, w = 6km

A = 2 × (l² + lh + lh)

= 2(l²) + 4lh

A = 2(l²) + 4 lh

= 2 × (l² + 2lh)

dA/dt = 2 × (2I × dI/dt + 0 × dh/dt + 2 × 2h × dl/dt + 2l × dh/dt)

dA/dt = 2 × (2l × dl/dt + 0 + 2 × 2h × dl/dt + 2l × dh/dt)

= 2 × (2(6) × (-9) + 2(10) × (-9) + 2(6) × (12))

= 2 × (- 108 + -180 + 144)

= 2 × -144

= -288 km/min

The rate of change of the surface area, A is decreasing by 288 km/min.

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Question is incomplete. Completed question is given below;

The length s(t)s(t)s, (, t, )of the side of the base of a square prism is decreasing at a rate of 9 kilometers per minute and the height h(t)h(t)h, (, t, )of the prism is increasing at a rate of 12 kilometers per minute. At a certain instant t_0t 0 ​ t, start subscript, 0, end subscript, the base's side is 6 kilometers and the height is 10 kilometers. What is the rate of change of the surface area A(t)A(t)A, (, t, )of the prism at that instant?

Answer:

SM = 13

Step-by-step explanation:

M is the midpoint of ST, then

SM = MT , that is

2x + 3 = 4x - 7 ( subtract 4x from both sides )

- 2x + 3 = - 7 ( subtract 3 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Then

SM = 2x + 3 = 2(5) + 3 = 10 + 3 = 13

The question states that we have a supply function denoted as s(q) and a demand function denoted as d(q). We are required to complete parts (a) through (d) based on this information.

In this part, we are likely asked to find the equilibrium quantity q* where the supply and demand functions intersect. This occurs when s(q) equals d(q). By setting (q) equal to d(q) and solving for q, we can determine the equilibrium quantity q*. Part (b) may ask us to find the equilibrium price, denoted as p*, corresponding to the equilibrium quantity q* found in part. To do this, we substitute the equilibrium quantity q* into either the supply or demand function and solve for p.

Part (c) might require us to determine the consumer surplus at the equilibrium quantity q*. Consumer surplus represents the difference between the willingness of consumers to pay for a good or service and the actual price they pay. To calculate the consumer surplus, we integrate the demand function from zero to q* and subtract the area under the demand curve up to the equilibrium price.

In this part, we might be asked to find the producer surplus at the equilibrium quantity q*. The producer surplus measures the difference between the cost of production for a good or service and the price at which it is sold. To compute the producer surplus, we integrate the supply function from zero to q* and subtract the area under the supply curve up to the equilibrium price.

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Answer:

11.281

Step-by-step explanation:

For this question, since we see a right angle triangle, we know that we can use Pythagoras' Theorem to solve for this question.

By Pythagoras' Theorem,

\( {c}^{2} = {a}^{2} + {b}^{2} \\ {x}^{2} = {4.6}^{2} + {10.3}^{2} \\ \\ {x}^{2} = 127.25 \\ x = \sqrt{127.25} \\ = 11.281 \: or \: \frac{ \sqrt{509} }{2} \)

a. The probability is 4/10 or 0.4.

b. The combination formula: C(10, 5) = 252.

c. C(6, 3) = 20.

d. C(4, 2) = 6.

e. The probability is 120/252 ≈ 0.4762.

a. To calculate the probability that the person drawing the names is a Democrat, we divide the number of Democrats (4) by the total number of council members (10). Therefore, the probability is 4/10 or 0.4.

b. When there are no restrictions on the composition of the committee, we can calculate the number of ways it can be formed using combinations. Since there are 10 council members and we need to choose 5, the number of ways the committee can be formed is given by the combination formula: C(10, 5) = 252.

c. To determine the number of ways to choose 3 Republicans, we calculate the combination of 6 Republicans taken 3 at a time: C(6, 3) = 20.

d. Similarly, to calculate the number of ways to choose 2 Democrats, we use the combination formula with the 4 Democrats: C(4, 2) = 6.

e. To find the probability of selecting 3 Republicans and 2 Democrats, we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes. The number of ways to select 3 Republicans from 6 and 2 Democrats from 4 is given by the product of their respective combinations: C(6, 3) * C(4, 2) = 20 * 6 = 120. The total number of possible outcomes is C(10, 5) = 252. Therefore, the probability is 120/252 ≈ 0.4762.

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Answer:

Step-by-step explanation:

Fame age be x and sister's age = y

Five years ago:

Fame's age = x - 5

His sister's age = y -5

\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)

Multiply the entire equation by 6

\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)

6x- 6*5  = y-5

6x - 30 = y - 5

6x  -30 + 5 = y

y = 6x - 25--------------(I)

Three year after:

Fame's age = x + 3

His sister's age = y + 3

2*(x +3) = y + 3

2x + 6   = y + 3

2x + 6 -3 = y

y = 2x + 3 -------------(II)

Substitute y = 6x - 25 in equation (II)

6x - 25 = 2x + 3

Add 25 to both sides

6x  = 2x + 3 + 25

6x  = 2x + 28

Subtract 2x from both sides

6x - 2x = 28

       4x = 28

Divide both sides by 4

x = 28/4

x = 7

Substitute x = 7 in equation (I)

y =6x - 25

y = 6*7 - 25

  = 42 - 25

y = 17

Fame's age = 7 years

His sister's age = 17 years

4) Let the distance between X and Y be D

Time take by Wie = distance÷ speed

                             \(= \dfrac{D}{75}\)

Time taken by Wary = distance ÷ speed

                                  \(=\dfrac{D}{80}\)

Time difference = 10 minutes.

As Wary drives in high speed that Wie, he takes less time

\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)

LcM = 1200

\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)

D = 200 Km

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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Answer: using traditional algorithom

                                       23

                                   x  20

                                   __________

                                       0 0

                             +    4 6

                               ____________

                                   4 6  0

The particular solution that satisfies the differential equation and the initial condition f(0) = a is: f(x) = -sin(x) + C1x + a.

To find the particular solution that satisfies the differential equation f''(x) = sin(x) and an initial condition, we need to integrate the equation twice and apply the initial condition.

1. First Integration:

Integrating the differential equation f''(x) = sin(x) with respect to x once gives us:

f'(x) = -cos(x) + C1

where C1 is the constant of integration.

2. Second Integration:

Integrating f'(x) = -cos(x) + C1 with respect to x again gives us:

f(x) = -sin(x) + C1x + C2

where C2 is another constant of integration.

3. Applying the Initial Condition:

To apply the initial condition, we need to use the given information about the problem. Let's say the initial condition is given as f(0) = a, where 'a' is a specific value.

Substituting x = 0 and f(x) = a into the equation, we get:

a = -sin(0) + C1(0) + C2

a = 0 + 0 + C2

C2 = a

Therefore, the particular solution that satisfies the differential equation and the initial condition f(0) = a is:

f(x) = -sin(x) + C1x + a

In this particular case, the initial condition f(0) = a determines the value of the constant C2, which becomes C2 = a. The resulting particular solution incorporates the constant C1 from the first integration and the constant a from the initial condition.

Note that without a specific initial condition or boundary condition, the constants C1 and C2 remain arbitrary and can be adjusted to fit different situations or additional information if provided.

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Answer:

7 Hope that works?

Step-by-step explanation:

11 1/2 divided by 1 5/6 equals  

But, 6.27272727273 you can round it to 7

The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B.  

Note that  in the above expression, A number line is one that moves from point A to point B and also that a line can be drawn from a given point A to another point B.

Therefore, one can say that The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B and as such, option A is correct.

Note that P will be closer to A due to the fact that it will be 3/7 the distance from point A to  point B.

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Answer: OPTION A

Step-by-step explanation:

The calculated expectation of X is 0.1

From the question, we have the following parameters that can be used in our computation:

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

20,400,000,000,000,000,000,000,000

Step-by-step explanation:

10 to the power of 23 is 1 with 23 zeros.

100,000,000,000,000,000,000,000 ⋅ 2.04 20,400,000,000,000,000,000,000,000

Hope I helped :)

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(It took so long to type that)

4x + 9 = 73

Step-By-Step Explanation:

Nine more than the product of 4 and the number is 73

if I turn this equation into English sentence,

4x + 9 = 73

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

C. 4x + 9 = 73

Step-by-step explanation:

9 more (+ 9)

product of 4 (4x)

number is 73 ( = 73)

Answer:

Median

Step-by-step explanation:

Our set of numbers: 20, 60, 18, 38, 60, 14

Order: 14, 18, 20, 38, 60, 60

Mean: (14 + 18 + 20 + 38 + 60 + 60) / 6 = 210 / 6 = 35

Median: (20 + 38) / 2 = 29

Mode: 60 - 14 = 46

The number 18 replaced one of the 60s in the set.

Order: 14, 18, 18, 20, 38, 60

Mean: (14 + 18 + 18 + 20 + 38 + 60) / 6 = 28

Median: (18 + 20) / 2 = 19

Mode: 60 - 14 = 46

So, the median value changes the most if the number 18 replaces one of the 60s in the set.

Answer:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane). On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

To switch the x and y values and plot the graph with the x-values on the horizontal axis and y-values on the vertical axis, following steps are to be followed.

A graph is a visual representation of a set of data or mathematical relationship between variables.

Graphs are used to illustrate patterns, trends, and relationships in the data or functions, making it easier to interpret and communicate the information.

Write down the coordinates of the points given in the format (y, x) instead of (x, y).

(0, 30), (1, 60), (2, 100), (3, 130), (4, 160), (5, 190)

Draw the horizontal x-axis and vertical y-axis on a graph paper. Label the axes as "x-axis" and "y-axis", respectively.

Plot the points (0, 30), (1, 60), (2, 100), (3, 130), (4, 160), and (5, 190) on the graph paper.

To plot each point, locate the x-coordinate on the x-axis and the y-coordinate on the y-axis, and mark a point where they intersect.

Connect the points with a smooth curve to complete the graph.

The resulting graph will have the x-values on the horizontal axis and the y-values on the vertical axis.

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The bearing of D from C is determined as 315 degrees clockwise from north of C.

A bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

From the given diagram, the bearing of D from C is calculated by taking the angle measure of point D from North of C clockwise as follows;

D from C = 360⁰ - 45⁰ = 315⁰

Note; 45⁰ is the position of D from north of C anti clockwise, since we are interested in the clockwise measure of the bearing, we subtracted 45 degrees from 360 degrees; which is the sum of angle at a point.

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The given equations (5b - 2)² + 4 = 25b²– 20b and (2x² + y²)(2x² - y²) = 4x² – y have been found not to be true identities

A) We want to check if (5b - 2)² + 4 = 25b²– 20b is a true identity.

A true identity is an equality that holds true regardless of the values chosen for its variables. They are used in simplifying or rearranging algebra expressions. By definition, the two sides of an identity are interchangeable, so we can replace one with the other at any time.

(5b - 2)² + 4 when expanded gives;

25b² - 20b + 4 + 4 = 25b² - 20b + 8

That is not equal to the right hand side and as such, we can say that both equations are not true identities

B) (2x² + y²)(2x² - y²) = 4x² – y

Expand the left side to get;

4x⁴ - y⁴

This result is not equal to the right hand side and as such, we can say that both equations are not true identities.

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Correct question is;

Which of the equations are true identities?

A. (5b - 2)² + 4 = 25b²– 20b

B. (2x² + y²)(2x² - y²) = 4x² – y