(Score for Question 2: of 10 points) 2. Penelope made a reflective sticker for her scooter in the shape of a triangle. Two of the three side lengths were 6 cm and 8 cm. Stride, Inc. All rights reserved. No reproduction without written consent of Stride, Inc. (a) Could the third side of the reflective sticker be 12 cm long? Explain your reasoning. If this third side is possible, draw the triangle. (b) Could the third side of the reflective sticker be 2 cm long? Explain your reasoning. If this third side is possible, draw the triangle. Answer!​

The probability that exactly 6 of the 8 adult smartphone users will use their smartphones is 0.004419921875.

If 8 adult smartphone users are randomly selected, the probability that exactly 6 of them use their smartphones is calculated as follows:

P(6) = C(8,6) × (0.75)^6 × (0.25)^2P(6) = 28 × 0.1779785 × 0.0625P(6) = 0.3125P(6) = 0.004419921875

The probability that exactly 6 of the 8 adult smartphone users will use their smartphones is 0.004419921875.

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Answer:

The answer is A.

If you look at the x values of the coordinates, you can see that they multiply by 2 when dilated to the next shape.

M (5,0) ---> M' (10,0)   5 to 10 means a scale factor of 2. So A is your answer.

Answer:"if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?​. 2. See answers.

2 answers

·

0 votes:

Answer:6Step-by-step explanation:-80/-4=20+14=6

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Right triangle....use pyhtagorean theorem

c^2 = a^2 + b^2

(2 sqrt5)^2 = 2 ^2 + ?^2

16 = ?^2       ? = 4  units

Answer:

3x+9=180(angles on a line

3x=180-9

3x=171

x=171/3

x=57

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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Answer:

1

Reason:

There can only be one answer for prime numbers.

Answer:

1 beause 11 is an odd number so there are no mulipules

Step-by-step explanation:

The greatest 5 digit no. is 99999

and the lowest six digit no. is 100000

Their difference is 100000 - 99999 = 1

Answer:

The answer is 1

Smallest 6 digit number = 100000

Largest 5 digit number =99999

Diffrence =100000-99999=1

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.

The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Step-by-step explanation:

We need to find the line that

Perpendicular lines have negative-reciprocal slopes, so the line will be:

Use the point (3,5) to find the value of y-intercept:

So the line is:

Answer:

The correct answer is,

\(y = - 3x + 14\)

Answer:

Interval Notation:

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

\(\text{First number: }-10, \\\text{Second number: }-4\)

Step-by-step explanation:

We can write the following system of equations:

Let the first number be \(f\) and the second number be \(s\):

\(\begin{cases}f+6=s, \\2f-4=6s\end{cases}\)

Solving, we get:

\(\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}\)

Solving for \(s\):

\(f+6=s,\\-10+6=s,\\s=\boxed{-4}\)

The solution to the equation \(sqrt(x^2 + 2x - 25)\)for all real numbers is: x ∈ [-5, 3]

We can begin by observing that the term within the square root is a quadratic polynomial, and we can rewrite it as follows:\(x^2 + 2x - 25 = (x + 5)(x - 3)\).Now, let us consider the square root of this expression: \(sqrt[(x + 5)(x - 3)].\) Since the range is all real numbers, this expression is only defined for values of x such that (x + 5)(x - 3) is non-negative or greater than or equal to zero. This means that either (x + 5) and (x - 3) are both positive, or both negative.

We can create an inequality to represent this condition:(x + 5)(x - 3) ≥ 0Now we can plot the two roots, -5 and 3, on a number line. These are the points where the function changes sign. Between these points, the inequality (x + 5)(x - 3) ≥ 0 will be satisfied if both factors are negative, or both factors are positive. We can also note that \((x + 5)(x - 3) = x^2 + 2x - 25\) is zero at the two roots, -5 and 3. This means that the inequality will be satisfied if x lies on the interval [-5, 3].

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Answer:

B

Step-by-step explanation:

The equation that represents the axis of symmetry of the graph of the quadratic function is the line; x = 6

A quadratic function is a function that has 2 as the highest exponent. The shape of the graph of a quadratic function is a parabola, which is U shaped.

The equation of the axis of symmetry of the graph of y = -3·(x - 6)² + 5 is obtained as follows.

The specified equation is in the vertex form of a quadratic function, which is; f(x) = a·(x - h)² + k

Where;

(h, k) = The coordinate of the vertex

The equation of the axis of symmetry is x = h

Comparison of the equation, y = -3·(x - 6)² + 5 and the vertex form of a quadratic equation, we get.

The vertex, (h, k) = (6, 5)

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{(1)(-14)+(4)(-3)}{1+4},\dfrac{(1)(7)+(4)(6)}{1+4}\right)\)

\(\\ \sf\longmapsto P(x,y)=\left(\dfrac{-26}{5},\dfrac{31}{5}\right)\)

Answer:

$29.99

Step-by-step explanation:

24 equal payments represent 24 months (as it is paid monthly), therefore, you divide by 24 to get only 1 month of the payment

719.76/24

=29.99

Answer:

90 feet

Step-by-step explanation:

Answer:

6b^4+6b^3-923

Step-by-step explanation:

Answer:

6b^4 + 6b^3 - 923

Step-by-step explanation:

Likelihood is the probable chances of occurrence of an event.

It simply means: what’s the chance “x” will occur?

I have a jar with 20 candies of which 10 are red, 5 are blue, 3 are green, and 2 are white. If I randomly grab 1 candy, what’s the likelihood it’ll be red? In other words: what’s the *chance* it’ll be a red candy?

(It’s 10/20 = 1/2 = 50%, by the way, but it’s just an example).

Answer:

$18.00

Step-by-step explanation:

Answer:

A 18:00

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image P to original N

scale factor = \(\frac{10}{4}\) = \(\frac{5}{2}\)

-Answer: The scale factor that takes polygon N to polygon P is 2.5.

Secondly, the sampling method should consider the characteristics of the population being studied.

While a carefully chosen simple random sample (SRS) is a widely used method for selecting a sample from a population, it does not guarantee representativeness. Even with careful selection, there is still a possibility of making mistakes or biases in the sampling process.

A simple random sample involves selecting individuals from a population in such a way that each member has an equal chance of being chosen. This randomization is intended to reduce bias and increase the likelihood of representation.

However, there are factors to consider that may affect the representativeness of the sample.

Firstly, the size of the sample plays a crucial role. A small sample size may not accurately capture the diversity and variability present in the population, leading to potential bias. A larger sample size tends to provide a more accurate representation.

If the population is heterogeneous with distinct subgroups, a simple random sample may not adequately capture the variability across these subgroups. In such cases, stratified sampling or other techniques that specifically target these subgroups may be more appropriate.

Lastly, nonresponse and selection bias can also impact the representativeness of the sample. If certain individuals are more likely to refuse participation or are systematically excluded from the sample, the results may not accurately reflect the entire population.

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Answer:

Your solution is (-11/6, 7/6).

Step-by-step explanation:

-2x + 2y = 6

4x + 2y = -5

Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.

4x + 2y = -5

-1(4x + 2y = -5)

-4x - 2y = 5

Now we have a new equation in our system.

-2x + 2y = 6

-4x - 2y = 5

Now eliminate by performing each action given by the terms.

-2x + 2y = 6

-4x - 2y = 5

_________

-6x = 11

Divide both sides by -6.

x = 11/-6

Now that we know x, plug it back into one of the original equations to find y.

-2x + 2y = 6

-2(11/-6) + 2y = 6

Multiply.

-22/-6 + 2y = 6

22/6 + 2y = 6

Subtract 22/6 from both sides.

2y = 6 - 22/6

2y = 36/6 - 22/6

2y = 14/6

2y = 7/3

Divide both sides by 2.

y = (7/3)/2

y = 7/6

Your solution is (-11/6, 7/6).

Check your answer by plugging both values into one of the original equations.

4x + 2y = -5

4(-11/6) + 2(7/6) = -5

Multiply.

-44/6 + 14/6 = -5

Add.

-30/6 = -5

Divide.

-5 = -5

Your answer is correct.

Hope this helps!

1. Multiply all the x and y by 2

M (-6,4)

A (-4,6)

T (-2,4)

H (-4,2)

2. They stayed in the same quadrants. The x and y values shifted.

3. Scale factor of 1/2

4. .....mayhaps?

The first four terms of the sequence are 15, 31, 63, and 127

Sequence is an ordered list of numbers. In this problem, we are given a sequence aₙ where n is a positive integer.

The formula for the sequence is aₙ = 8(2)ⁿ⁻¹, where n is the term number of the sequence.

To find the first four terms of the sequence, we need to substitute n=1,2,3, and 4, respectively, in the given formula for aₙ.

When n=1, a₁=8(2)¹⁻¹=8(2)-1=15.

When n=2, a₂=8(2)²⁻¹=8(4)-1=31.

When n=3, a₃=8(2)³⁻¹=8(8)-1=63.

When n=4, a₄=8(2)⁴⁻¹=8(16)-1=127.

Therefore, the first four terms of the sequence are 15, 31, 63, and 127.

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The magnitude of the average velocity vector is approximately 3.651 m/s.

To find the magnitude of the average velocity vector, we need to calculate the displacement and divide it by the time taken.

Representation:

Initial position: D1 = (50 m North, 10 m East)

Final position: D2 = (5 m North, 35 m East)

Time taken: t = 15 seconds

Equations:

Displacement vector (ΔD) = D2 - D1

Average velocity vector (\(V_{avg}\)) = ΔD / t

Algebra work:

ΔD = D2 - D1

   = (5 m North, 35 m East) - (50 m North, 10 m East)

   = (-45 m North, 25 m East)

|ΔD| = √((-45)^2 + 25^2)  [Magnitude of the displacement vector]

\(V_{avg}\) = ΔD / t

       = (-45 m North, 25 m East) / 15 s

       = (-3 m/s North, 5/3 m/s East)

|\(V_{avg}\)| = √((-3)^2 + (5/3)^2)  [Magnitude of the average velocity vector]

Symbolic answer:

The magnitude of the average velocity vector is approximately 3.651 m/s.

Units check:

The units for displacement are in meters (m) and time in seconds (s). The average velocity is therefore in meters per second (m/s), which confirms the units are consistent with the calculation.

Therefore, the magnitude of the average velocity vector is approximately 3.651 m/s.

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