Vika can run a mile in 15 minutes, Sandy can run 3
miles in 30 minutes, and Hyun can run 4 miles in
28 minutes. Who can run the fastest mile?

Answer: 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(\dfrac{1}{14}\).

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

\(P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}\)

\(P(Red)=\dfrac{3}{15}\)

\(P(Red)=\dfrac{1}{5}\)

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

\(P(orange )=\dfrac{\text{Orange  marbles}}{\text{Total remaining marbles}}\)

\(P(orange)=\dfrac{5}{14}\)

Now,

\(P(\text{red then orange})=P(Red)\times P(orange)\)

\(P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}\)

\(P(\text{red then orange})=\dfrac{1}{14}\)

Therefore, the required probability is  \(\dfrac{1}{14}\).

Answer:

The probability of it being greater than 6 is 3/4.

Step-by-step explanation:

there are 4 outcomes, and 6 is only one of them. 3 are greater than 6, so 4 out of the 4 times the number will be greater than 6.

Answer:

sum of interior angles is 1440

Step-by-step explanation:

sum=(n-2)180

=(10-2)180

=8*180=1440

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

Answer:

let's see what to do buddy...

Step-by-step explanation:

We have this equation to find the distance between two points :

a = ( 2 , 0 ) and b = ( -4 , 6 )

\(distance = \sqrt{ {( \: y(b) - y(a) \: })^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ \)

Now just need to put the coordinates in the equation :

\(distance = \sqrt{ ({6 - 0})^{2} + ({ - 4 - 2})^{2} } \\ distance = \sqrt{ {6}^{2} + ({ - 6})^{2} } = \sqrt{36 + 36} \\ distance = \sqrt{36 \times 2} = 6 \sqrt{2} \)

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

There will be 3003 hockey teams of 6 players who can be formed from 14 players without regard to the position played.

The variety of possible arrangements of a set is its permutation; order is important in permutations but not in combinations. Combinations are mathematical operations that count the variety of configurations that may be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order. Permutations and combinations are often mistaken.

here, we have,

The number of hockey teams of 6 players can be formed from 14 players without regard to the position played is,

=14C₆

=3003

Thus, there will be 3003 six-player hockey teams that may be assembled from 14 players, regardless of the positions they play.

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The value of h in terms of x when the volume of cylinder is equal to that of cone is h = 6x²

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together.

The volume of cylinder = πr²h

and volume of cone = 1/3 πr²h

since the volume of the cone and cylinder are equal

πr²h = 1/3 πr²h

r in cylinder = x cm and h is 2x

r in cone = x cm

therefore πx²×2x = 1/3πxh

divide both side by πx

π2x³/πx = h/3

2x² = h/3

therefore h = 3×2x²

h = 6x²

therefore the value of h in terms of x is h = 6x²

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Rouche's theorem, f(z) and f(z) + g(z) have the same number of zeros inside the unit circle |z| = 1.

By using the quadratic formula we get,

\($$z=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \Right arrow z=\frac{-2\pm\sqrt{(-2)^2-4(4)(3)}}{2(4)}$$$$\Right arrow z=\frac{-2\pm i\sqrt{2}}{4}$$$$\Rightarrow z=\frac{-1\pm i\frac{\sqrt{2}}{2}}{2}$$\)These two zeros lie inside the unit circle |z| = 1. Let's now examine the function g(z) =\(x(9x^4 + x). Let f(z) = 3 + 2z + 4z^2\), then we have to show that \(|x(9x^4 + x)| < |3 + 2z + 4z^2| on |z| = 1\). Since |z| = 1, we can bound |2z| by 2 and |4z^2| by 4. Therefore we have,\($$|3+2z+4z^2|\geq |2z|-4+3=|2z|-1$$\)On the other hand, we have,\($$|x(9x^4+x)|\leq |9x^6+x^2|$$$$\leq 9|x|^6 + |x|^2$$$$=9|x|^2|x|^4+|x|^2$$$$\leq 9|x|^2 + |x|^2$$$$=10|x|^2$$$$\Right arrow |x(9x^4+x)| < 10$$\)Now we want to show that |2z| > 1.

To do so, we assume the opposite, i.e. |2z| ≤ 1, then we have,\($$|3+2z+4z^2|\leq 4+3+4=11$$\)

But we have just shown that \($|x(9x^4+x)| < 10$\), which means that for |2z| ≤ 1 we have,\($$|x(9x^4+x)| < |3+2z+4z^2|$$\)

Therefore, by Rouche's theorem, f(z) and f(z) + g(z) have the same number of zeros inside the unit circle |z| = 1.

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Answer:

12

Step-by-step explanation:

I think that’s the only thing that makes sense.

Answer:

12

Step-by-step explanation:

Hope this helps.

Answer:

please tag the the pic if question

Image

Step-by-step explanation:

For anyone that needs the image for the problem, I have the same question so please help solve ty

Answer: B

The answer above is correct. It would be 5pi/3.

Step-by-step explanation: Edge2021

I just got it right on my quiz.

The value of the x is equal to the 5pi/3.

The expression is

\(\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi\)

The value of the given expression.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

\(\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi\)

\(11\cdot \frac{\pi }{2}+x=\frac{7\pi }{6}+2\pi n,\:11\cdot \frac{\pi }{2}+x=\frac{11\pi }{6}+2\pi n\)

\(x=2\pi n-\frac{13\pi }{3},\:x=2\pi n-\frac{11\pi }{3}\)

\(x=\frac{5\pi }{3}\)

Therefore, The value of the x is equal to the 5pi/3.

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Answer:

y/6.24=11.75

Step-by-step explanation:

Answer:

SAS (Side Angle Side)

Step-by-step explanation:

It is SAS because both triangles are congruent due to 2 congruent sides and one congruent angle, thus being SAS.

Answer:

144.97

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Step-by-step explanation:

x= -1 and -3

What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.

The correct option is D

(x + 2) is a binomial expression.

A binomial expression is an expression that contains two terms (from the word "bi") and are connected by either addition or subtraction.

From the options, the binomial expression is: x + 2

Answer:

The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Based on the estimated numbers, there are approximately 1.67 billion insects per person on Earth.

To calculate the number of insects per person, we can divide the estimated number of insects on Earth by the estimated number of people on Earth.

The estimated number of insects on Earth is\(1 \times 10^{19.\)

The estimated number of people on Earth is \(6 \times 10^9.\)

To find the number of insects per person, we can divide the number of insects by the number of people:

Number of insects per person = (Number of insects) / (Number of people)

\(= (1 \times 10^19) / (6 \times 10^9)\)

To simplify this division, we can divide the coefficients and subtract the exponents of 10:

\(= (1 / 6) \times 10^{(19 - 9)\)

\(= (1 / 6) \times 10^{ 10\)

Therefore, the number of insects per person is approximately\((1/6) \times 10^{10.\)

This can be expressed as \(1.67 \times 10^9,\) in scientific notation.

So, based on the estimated numbers, there are approximately 1.67 billion insects per person on Earth.

Please note that these estimates are based on rough approximations and can vary significantly in reality.

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Answer:

Step-by-step explanation:

\((\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35\)

Subtract both sides from 35

\((\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35\)

Simplify:

\((\sqrt{z})^{2} -57=0\)

Factor \((\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})\)=0

\(\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0\)

\(\sqrt{z} +\sqrt{57} =0: No Solution for Z\)

\(\sqrt{z} -\sqrt{57} =0: z=57\)

Your answer will be z=57

and No solution

Answer:

(

z

+

22

)(

z

−

22

)=35

Subtract both sides from 35

(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(

z

+

22

(

z

−

22

)−35=35−35

Simplify:

(\sqrt{z})^{2} -57=0(

z

)

2

−57=0

Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(

z

)

2

−57:(

z

+

57

)(

z

−

57

) =0

\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0

z

+

57

=0or

z

−

57

=0

\sqrt{z} +\sqrt{57} =0: No Solution for Z

z

+

57

=0:NoSolutionforZ

\sqrt{z} -\sqrt{57} =0: z=57

z

−

57

=0:z=57

Your answer will be z=57

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer: x=0   x=2   x=-1

Step-by-step explanation:

\(x^3-x^2-2x=0\\\\x(x^2-x-2)=0\\\\x(x^2-2x+x-2)=0\\\\x((x-2)+(x-2))=0\\\\x(x-2)(x+1)=0\\\\x=0\\\\x-2=0\\\\x-2+2=0+2\\\\x=2\\\\x+1=0\\\\x+1-1=0-1\\\\x=-1\)

Answer:

Factored form: x(x-2)(x+1)=0

Solutions: x=0, x=2, x=-1

Step-by-step explanation:

\(x^{3} -x^{2} -2x=0\\\)

\(x(x^{2} -x-2)=0\\\left \{ {{x=0} \atop {x^{2}-x-2 =0}} \right. \\\left \{ {{x=0} \atop (x-2)(x+1)=0}} \right. \\x=0,x=2,x=-1\)

Answer:

8n+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first box can be filled by adding up the two angles:

  m∠L +m∠M = 42° +48° = 90°

You don't really have to go to that trouble, because you already know that the sum of the two acute angles in a right triangle is 90°. (They are complements of each other.)

__

Since no side lengths are given, you need to use your calculator to find the sines of these angles, if a numerical value is required. If a literal ratio is required, the mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(L) = MN/LM = sin(42°) ≈ 0.66913

  sin(M) = LN/LM = sin(48°) ≈ 0.74314

Kendra cost $0.60 for each egg and $0.30 for each piece of toast.

Let's assume that the cost of one egg is x and the cost of one piece of toast is y.

From the given information, we can set up two equations:

2x + y = 1.5

x + y = 0.9

We can solve this system of equations by either substitution or elimination method.

Using the elimination method, we can multiply the second equation by -2 to eliminate y:

-2x - 2y = -1.8

2x + y = 1.5

Adding these two equations, we get:

-1y = -0.3

y = 0.3

Substituting y = 0.3 in either of the two equations, we get:

x = 0.6

Therefore, Kendra charges $0.60 for each egg and $0.30 for each piece of toast.

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