-6x -6= help pls i don’t understand

There are 14 sets of four marbles, all of which are red.

Given that,

There are three red marbles, and we need to select all of them in each set of four marbles,

So we have only one option for the red ones.

For the remaining one marble,

we can choose it from the remaining 14 marbles (5 green, 1 lavender, 6 yellow, and 4 orange).

So, the total number of sets with all three red marbles is equal to the number of ways to choose one marble out of the 14 non-red marbles, which is 14.

Thus, there are 14 sets of four marbles that include all the red ones.

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Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

Answer:

plug in 16 for x

14√x+15 = 71

14√x+15-15 = 71-15 = 56

14√x/14 = 56/14 = 4

√x^2 = 4^2 = 16

Of the boys surveyed, more preferred apples. Of the girls surveyed, more preferred apples. There does not appear to be association between gender and fruit preference.

More than half of both boys and girls prefer apples relative to oranges.

As the preference is the same between the two genders, there does not appear to be association between gender and fruit preference.

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Step-by-step explanation:

7.3 x 10^8     <=====move decimal point EIGHT place to the right

730, 000, 000  pounds

  88, 200 ,000            I think you can now see the larger one

                                            and do the subtraction to see by how much !

Answer:

The Empire State Building is heavier by 6.418 x \(10^{8}\)

Step-by-step explanation:

World Trade Center

8.82 x \(10^{7}\)

(6.14 x \(10^{8}\)) - (8.82 x \(10^{7}\))

You need to have the same power of 10 to subtract

7.3 x \(10^{8}\) - .882 x \(10^{8}\)

6.418 x \(10^{8}\)

Helping in the name of Jesus.

The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error

In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.

Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.

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Answer:

0.7 oz

Step-by-step explanation:

2.25 OZ. + 3.8 OZ. = 6.05 OZ

6.05 oz ÷ 9 = 0.672 oz.

Round to nearest tenth = 0.7 oz

Each paint has 0.7 ounces.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

An artist mixes 2.25 ounces of red paint with 3.8 ounces of white paint.

And, She divides the paint into 9 equal parts.

Now, Total ounces;

2.25 OZ. + 3.8 OZ. = 6.05 OZ

Hence, Each parts of paint;

6.05 ÷ 9 = 0.672 ounces.

After round to nearest tenth = 0.7 ounces.

Thus, Each paint has 0.7 ounces.

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The number of volunteers recruited for the first 5 weeks is; 486 people

A geometric sequence is defined as a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.

The nth term of a geometric sequence is given by:

aₙ = a₁rⁿ⁻¹

where;

a₁ is the first term

r is the common ratio

In this question, on the first week there are 6 people, and since each new people involve three more, the common ratio is 3, hence the parameters for the geometric sequence are:

a₁ = 6

r = 3

Hence the number of people after n weeks is:

aₙ = 6(3)ⁿ⁻¹

Thus, the number of volunteers recruited for the first 5 weeks is;

a₅ = 6(3)⁵⁻¹

a₅ = 6 * 3⁴

a₅ = 486

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Answer: Her answer is incorrect.

Step-by-step explanation: You have to distribute the negative sign to (-12), once you do that the (-12) becomes a positive making the equations -12 + 12 resulting in your answer being 0 not -24.

The one function that satisfies f '(x) = 3x² + 6x + 5 is f(x) = x³ + 3x²÷2 + 5x + C. where C is the constant of integration.

The given function's derivative is f'(x) = 3x² + 6x + 5.

To find the original function f(x), we need to integrate the derivative.

We can integrate the given function f'(x) term by term, using the power rule of integration:

∫f'(x) dx = ∫(3x² + 6x + 5) dx

f(x) = x^3 + 3x²÷2 + 5x + C

Any constant value of C can be added to the above function, resulting in an infinite number of functions that satisfy

f '(x) = 3x² + 6x + 5.

f(x) = x^3 + 3x²÷2 + 5x + 2 and f(x) = x³ + 3x²÷2 + 5x - 7 are both valid solutions to f '(x) = 3x² + 6x + 5, with different constant values of C.

This is because the constant of integration represents an arbitrary constant, and when we take the derivative, the constant term becomes zero. Hence, any function that differs from the original function by a constant value will also have the same derivative.

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Answer:

Step-by-step explanation:

1.

y=mx+b

slope=m=3     (4,2)

Hence y=3x+b    (1)

We substitute valueы of x=4 and y=2 into the equation (1):

2=3(4)+b

2=12+b

2-12=12+b-12

-10=b

Thus, b=-10

Hence y=3x-10

2.

y=mx+b

slope=m=-2     (0,3)

Hence y=-2x+b    (1)

We substitute valueы of x=0 and y=3 into the equation (1):

3=-2(0)+b

3=0+b

3=b

Thus, b=3

Hence y=-2x+3

3.

y=mx+b

slope=m=-1     (1,-7)

Hence y=-x+b    (1)

We substitute valueы of x=4 and y=2 into the equation (1):

-7=-(1)+b

-7=-1+b

-7+1=-1+b+1

-6=b

Thus, b=-6

Hence y=-x-6

And so on ...

Answer: \(\frac{1}{2} \frac{2}{17} \frac{7}{12}\)

Step-by-step explanation:

Therefore, the estimated average length of the line is 3 customers.

We can approach this problem by using the M/M/1 queueing model, which assumes a Poisson arrival process, an exponential service time distribution, and a single server.

In this case, the arrival rate (lambda) is 10 customers per hour, the service rate (mu) is 5 customers per hour (since the average servicem time is 14 minutes or 0.2333 hours), and there is one server.

The utilization factor (rho) is given by rho = lambda / mu = 10 / 5 = 2, which is greater than 1. This means that the system is not stable, and the queue will grow indefinitely.

To find the average length of the line, we can use Little's Law, which states that the long-term average number of customers in a stable system is equal to the long-term average arrival rate multiplied by the long-term average time spent in the system:

L = lambda * W

where L is the average number of customers in the system, lambda is the arrival rate, and W is the average time spent in the system.

In this case, since the system is not stable, we cannot use Little's Law directly. However, we can still estimate the average length of the line as follows:

Let's assume that the queue is at its steady-state when there are N customers in the system (i.e., being served plus waiting in the line). Then, the average length of the line (Lq) is:

Lq = N - 1

since one customer is being served and the remaining N-1 customers are waiting in the line.

The steady-state condition requires that the arrival rate equals the departure rate, which is the service rate in this case. Therefore, we can use the following formula to estimate N:

N = lambda / (mu - lambda)

Plugging in the values, we get:

N = 10 / (5 - 10) = -2

This negative value indicates that the system is not stable, and there are more customers arriving than the system can handle. However, we can still estimate the average length of the line as:

Lq = |N - 1| = |-2 - 1| = 3

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Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm

we have the expression

Remember that

Evaluate

For x=2i

substitute

This scenario describes a foodborne illness outbreak investigation, where several individuals with similar symptoms of food poisoning have been identified and traced back to a nearby restaurant.

In this situation, the local hospital has encountered multiple cases of individuals exhibiting symptoms consistent with food poisoning. Through interviews, it is discovered that all of them have recently dined at a nearby restaurant, indicating a potential common source of exposure. To further investigate and identify the cause of the illness outbreak, samples from the restaurant's food are collected.

These samples will undergo laboratory testing to check for the presence of pathogens, such as bacteria or viruses, that may be responsible for the foodborne illness. By analyzing the test results, health authorities can pinpoint the specific pathogen and take appropriate measures to prevent further spread and ensure the safety of the community.

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Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560

1. The correct equation is A) x²/9 + y²/4 = 1.

2. The correct equation is C) x²/36 + y²/16 = 1.

3. The correct equation is D) x²/1600 + y²/1296 = 1.

The location of points in a plane whose sum of separations from two fixed points is a constant value is known as an ellipse. The ellipse's two fixed points are referred to as its foci.

1. The equation of an ellipse in standard form with the center at the origin can be written as:

x²/a² + y²/b² = 1

where "a" represents the semi-major axis (distance from the center to the vertex) and "b" represents the semi-minor axis (distance from the center to the co-vertex).

Given that the vertex is at (-3,0) and the co-vertex is at (0,2), we can determine the values of "a" and "b" as follows:

a = 3 (distance from the center to the vertex)

b = 2 (distance from the center to the co-vertex)

Plugging these values into the equation, we get:

x²/3² + y²/2² = 1

x²/9 + y²/4 = 1

Therefore, the correct equation is A) x²/9 + y²/4 = 1.

2. The equation of an ellipse in standard form with the center at the origin can be written as:

x²/a² + y²/b² = 1

Given that the vertices are at (0,6) and (0,-6) and the co-vertices are at (4,0) and (-4,0), we can determine the values of "a" and "b" as follows:

a = 6 (distance from the center to the vertex)

b = 4 (distance from the center to the co-vertex)

Plugging these values into the equation, we get:

x²/6² + y²/4² = 1

x²/36 + y²/16 = 1

Therefore, the correct equation is C) x²/36 + y²/16 = 1.

3. The equation of an ellipse in standard form with the center at the origin can be written as:

x²/a² + y²/b² = 1

Given that the major axis is 80 yards long and the minor axis is 72 yards long, we can determine the values of "a" and "b" as follows:

a = 40 (half of the major axis length)

b = 36 (half of the minor axis length)

Plugging these values into the equation, we get:

x²/40² + y²/36² = 1

x²/1600 + y²/1296 = 1

Therefore, the correct equation is D) x²/1600 + y²/1296 = 1.

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The complete question is:

1. Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.

vertex at (-3,0) and co-vertex at (0,2)

A) x^2/9 + y^2/4 = 1

B) x^2/4 + y^2/9 = 1

C) x^2/3 + y^2/2 = 1

D) x^2/2 + y^2/3 = 1

2. What is the standard form equation of the ellipse with vertices at (0,6) and (0,-6) and co-vertices at (4,0) and (-4,0)?

A) x^2/4 + y^2/6 = 1

B) x^2/16 + y^2/36 = 1

C) x^2/36 + y^2/16 = 1

D) x^2/6 + y^2/4 = 1

3. An elliptic track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center is (0,0) and the major axis is the x-axis.

A) x^2/72 + y^2/80 = 1

B) x^2/1296 + y^2/1600 = 1

C) x^2/80 + y^2/72 = 1

D) x^2/1600 + y^2/1296 = 1

Answer:  x=10

Step-by-step explanation:

Simplifying

3x + 15 = 45

Reorder the terms:

15 + 3x = 45

Solving

15 + 3x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + 3x = 45 + -15

Combine like terms: 15 + -15 = 0

0 + 3x = 45 + -15

3x = 45 + -15

Combine like terms: 45 + -15 = 30

3x = 30

Divide each side by '3'.

x = 10

Simplifying

x = 10

Answer:

Step-by-step explanation:

What’s the answer?

Answer:  7lbs

Step-by-step explanation: You start off with the equation

6x+5 = x+40  Next you subtract 5 from both sides

    -5      -   5

_____________         Then, subtract x from both sides

   6x = x+35

    -x   -x

_____________                  Then divide 5 form both numbers

   5x= 35

   5       5                     Your answer is 7

    x= 7

The measure of the angle I= is 50 degree

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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Answer:

A = (81 - 20.25π)cm²

P = (18 + 9π)cm

Step-by-step explanation:

Since the answer asks for the exact value, we will keep π as itself to ensure there is no rounding off errors.

Firstly, finding the area A.

> Putting both semicircles together, you will get a full circle. Hence, finding the area only requires you to subtract the circle off the square.

>Also, the radius of the circle is \(\frac{9}{2}=4.5\).

Thus,

\(A=9^{2} -(\pi *4.5^{2} )\\A= 9^{2}-20.25\pi\\A= (81-20.25\pi)cm^{2}\)

Next, finding the perimeter B.

>Again, combining both arcs of the shaded figure together, we form a circumference of the circle.

Thus,

\(P = 2(9) + (2*\pi *4.5)\\=(18+9\pi )cm\)

Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

Answer: No solution.

Step-by-step explanation:

2(4a + 8) = 8a − 4

8a + 16 = 8a − 4

16 = − 4

Since 16 = -4 is false, there is no solution.

Answer:

83 ft^2

Step-by-step explanation:

6*2.5 (bottom)= 15

4*2.5*2 (one set of sides)= 20

4*6*2 (another set of sides)= 48

Add, 83 ft^2

The solution to the statistics have been given below

The probability = 3 / 4 = 0.75

n = 933

x≥ 729

np = 0.75 * 933

= 699.75

√933 * 0.75 * 0.25

= √174.9375

= 13.23

using the continuity correction we have

729 - 0.5

= 728.5 -  699.75 /  13.23

= 2.17

The p value is 0.015003.

there is a 1.5% chance of getting  729 peas with red flowers

b. given that Z is greater than 2, this can be said to be high

c. These results suggest that the scientist maybe wrong in his assumption

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