25ft 12ft who can help with this question

Use the scaling factor equation: greater length over smaller length to go from a smaller to a larger figure. Use the formula scale factor = smaller length over larger length if you're scaling down from a larger to a smaller figure.

What is scale factor in math?

How can I calculate the scale factor?

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The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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Infinitely many position vectors with length 2 in xyz-space are orthogonal to the nonzero position vector v. (D)

A position vector in xyz-space is a vector that starts at the origin and ends at a point in xyz-space. The length of a position vector is the distance from the origin to the point it ends at.

If we want to find position vectors with length 2 that are orthogonal (perpendicular) to a given nonzero position vector v, we can use the dot product.

Let w be a position vector with length 2 that is orthogonal to v. Then, the dot product of v and w must be zero, since they are orthogonal. That is, v · w = 0. Since the length of w is 2, we can write w as 2u for some unit vector u. Thus, v · w = v · (2u) = 2(v · u) = 0.

This means that v and u are orthogonal as well, since the dot product of two vectors is zero if and only if they are orthogonal.

There are infinitely many unit vectors u that are orthogonal to v, and therefore, there are infinitely many position vectors with length 2 that are orthogonal to v. Therefore, the answer is (d) infinitely many.

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Answer:

14 is the answer if you mean 3 by that e

Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A pE x

Answer: Relative frequency and probability are similar terms and the answer to both of them are the same. What I mean is that, even if the question asks for probability or relative frequency, the answer will remain the same. The basic difference is that relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
We can write the probability in the help of a normal formula,

P(A) is the probability of an event “A” n(B) is the number of favorable outcomes. n(S) is the total number of events in the sample space.

One more thing you might need to know is that, in probability, and means multiplication and or means addition.
And = multiplication
Or = addtion

So from the above equation, n(S) , the total number " 10 + 7 + 3" is 20.

i) 2/20 and in simplified terms, 1/10
ii) 7/20 * 3/20 = 21/400
iii) 1/20
iv) 13/20

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Answer:

Third side = 4

Step-by-step explanation:

Use Pythagoras theorem :

C = longer side, a = 10, b ?

\(c^2 = a^2 + b^2\)

\((2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4\)

If the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that the population mean CO2 level has increased. If the p-value is greater than 0.05.

Null hypothesis (H0): The population means \(CO_2\) level is equal to 418 ppm.

Alternative hypothesis (Ha): The population means \(CO_2\) level is greater than 418 ppm.

A p-value, or probability value, is a statistical measure that helps to determine the significance of results obtained from a hypothesis test. It is the probability of observing a test statistic as extreme as the one computed, assuming that the null hypothesis is true. The null hypothesis is a statement that there is no significant difference between two populations or that there is no effect of an intervention or treatment.

The p-value is used to decide whether or not to reject the null hypothesis based on a pre-determined significance level, typically 0.05 or 0.01. If the p-value is less than the significance level, the null hypothesis is rejected, indicating that the observed results are unlikely to have occurred by chance alone, and that the alternative hypothesis is likely true. Conversely, if the p-value is greater than the significance level, the null hypothesis is not rejected, indicating that the observed results are consistent with the null hypothesis.

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The probability that a computer part lasts more than 7 years is 0.504 which is approximately 50.4%.

The duration of time a computer part lasts is exponentially distributed. On average, a certain computer part lasts ten years.

The exponential probability distribution function is P(x) = λe−λx;

where λ is the rate parameter.  

We can find the rate parameter using the average lifespan of the computer part, i.e.,λ = 1/10=0.1 .

(a) Probability that a computer part lasts more than 7 years:

P(X > 7) = 1 - P(X ≤ 7)

The cumulative distribution function of an exponential distribution is given by:F(x) = 1 - e^(-λx)

Substituting the values in the formula:F(7) = 1 - e^(-0.1*7) ≈ 0.496

Therefore,P(X > 7) = 1 - 0.496 = 0.504≈ 50.4%

The probability that a computer part lasts more than 7 years is 0.504 which is approximately 50.4%.

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For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

The mass of the bicycle rider is approximately 68.75 kg.

Kinetic energy  is defined as the work needed to accelerate a body of a given mass from rest to its current velocity. The formula for kinetic energy is:

Kinetic Energy = 1/2 * mass * velocity²

where mass is the mass of the object and velocity is the speed at which it is moving. Kinetic energy is a scalar quantity and is measured in joules (J) in the SI system.

We can use the formula for kinetic energy to solve for the mass of the bicycle rider:

Kinetic Energy = 1/2 * mass * velocity²

Substituting the given values, we have:

550 J = 1/2 * mass * (4 m/s)²

Simplifying and solving for mass, we get:

mass = 550 J / (1/2 * (4 m/s)²

mass = 550 J / (8 kg m²/s²

mass = 68.75 kg

Therefore, the mass of the bicycle rider is approximately 68.75 kg.

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Hello and greetings lilliepruiett.

The mass of the cyclist who is going at 4 m/s, and who has a kinetic energy of 550 Joules, is 68.75 kilograms.

It is an exercise of kinetic energy, which is the energy that an object possesses due to its movement. It is defined as the energy required to accelerate an object of a given mass from rest to its current speed. Kinetic energy can be calculated using the following formula:

Ek = (m × v²)/2

where:

This formula indicates that the kinetic energy increases as the mass of the object increases and/or its speed increases. Kinetic energy is a direct measure of an object's ability to do work due to its motion.

We have that the cyclist is going at a speed of 4 m/s, when his kinetic energy is 550 Joules, we calculate the mass.

As we are asked to calculate the mass, we solve the formula:

What we do now is; substitute the data into the cleared formula and solve for the mass of the cyclist.

m = (2 * Ek)/v²

m = (2 × 550 J)(4 m/s)²

m = (1100 J)/(16 m²/s²)

m = 68.75 kg

The mass of the cyclist who is going at 4 m/s, and who has a kinetic energy of 550 Joules, is 68.75 kilograms.

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Answer:

---------------------------

Each angle is the half the difference of intercepted arcs, calculated as below:

A correlation value of 0 indicates that there is no linear relationship between the two quantitative variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two quantitative variables. The value of r ranges between -1 and 1, with 0 indicating no linear relationship.

When the correlation coefficient is 0, it means that there is no linear association between the variables. This implies that the variables do not show a systematic pattern or trend when plotted on a scatterplot. The absence of a linear relationship suggests that changes in one variable do not correspond to predictable changes in the other variable.

Therefore, the best interpretation of a correlation value of 0 is that there is no linear relationship between the two variables. It does not imply the absence of any relationship between the variables, as they could still be related in a nonlinear or non-monotonic manner. However, it indicates that the variables do not have a consistent linear association.

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Answer:

Sorry but this equation gives me 6x-12=6x-12

Step-by-step explanation:

Hope u don't mind me asking but have u tried it out yet and what did you get???

Is that a negative b4 4x??

__________

\( \: \)

-4x + 2(5x - 6) = 6(x - 2)

-4x + 10x - 12 = 6x - 12

6x - 12 = 6x - 12

6x - 6x = -12 + 12

0 = 0

Soo, answer for Question is no answered.

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

The extended warranty cost will be; a. $149.12

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that set of floor speakers costs $466. If the extended warranty on the speakers costs 32% of the price of the speakers, then;

The extended warranty cost is;

= 466 x (32/100)

=149.12

Hence, the extended warranty cost will be; a. $149.12

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Answer:

B. 21-41!

Step-by-step explanation:

Answer:

B!

Step-by-step explanation:

The guy above me answered it

Answer:

I'm not the best nor I am the worst at these Type of problems but

Step-by-step explanation:

6.85 - 4.83= 2.2

I hope this helps or is right

Answer:

Perimeter =28 units.

Area = 45 unit^2.

Step-by-step explanation:

The length of  first side (joining first 2 points) = 5 - (-4) = 9  (as y coordinates are both -5)

The line joining the 2nd and third points = 0 - (-5) = 5

The line joining the 3rd and 4th points = 5 - (-4) = 9.

The line joining the first  and 4th points = 0 - (-5) = 5

So the perimeter = 2(5) + 2(9)

= 28 units.

Area =  5*9 = 45 unit^2.

Answer:

See below ~

Step-by-step explanation:

Finding Area

Finding Perimeter

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

Answer:

Y=15

Step-by-step explanation:

4-1=3

18-3=15

15+3=18

So, 15+4-1=18

The annual interest rate should be approximately 3.16% (rounded to two decimal places).

Given,

The amount of money that Terrance has available to invest, P = $10,000

Interest Terrance hopes to earn = $500

Number of years Terrance hopes to earn $500,

t = 1.8 years

To determine the annual interest rate, we use the following forma:

Amount =\(P(1 + (r/n))^(n*t)\)

Where, P is the principal r is the interest rate per year t is the time in years n is the number of compounding periods per year

By using the formula, we can write the expression for the amount Terrance will have at the end of the investment period with an annual interest rate r.

We know that he wants to earn $500, therefore;

Amount = P + Interest

Amount = P + 500

Plugging in the values we get;

\(10000 + 500 = 10000(1 + (r/2))^(2*1.8)\)

Simplifying this, we get;

\(10500 = 10000(1 + r/2)^3\)

On simplifying the above expression we get:

1 + r/2 = 1.01577

We can calculate the annual interest rate from the above expression as follows:

r/2 = 0.01577

 r = 2 x 0.01577

≈ 0.03155 or 3.16%

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The probability that no more than one adult out of the 18 attendees visited the doctor despite not being sick can be calculated using the binomial distribution.

Given that 13.2% of adults visit the doctor even when not sick, we can consider this as the probability of success (p) in a binomial experiment. The probability of failure (q) would then be 1 - p.

To find the probability, we need to calculate the cumulative probability of 0 or 1 success out of 18 trials using the binomial distribution formula. The probability that no adults visited the doctor despite not being sick is given by P(X = 0), and the probability of only one adult visiting the doctor is P(X = 1). The final probability can be obtained by summing these two probabilities.

Using the binomial distribution formula and substituting the values, we get:

P(X ≤ 1) = P(X = 0) + P(X = 1) = C(18, 0) * (0.132)^0 * (1 - 0.132)^(18-0) + C(18, 1) * (0.132)^1 * (1 - 0.132)^(18-1)

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a) By using the mean and standard deviation of the normal distribution, we can calculate the specific values that separate the top 2% from the bottom 98% of shark attacks per year and determine the number of shark attacks that constitute the middle 80%.

b) The numbers of shark attacks per year that constitute the middle 80% of shark attacks per year is 90% percent.

(1) To determine the number of shark attacks per year that separates the top 2% from the bottom 98%, we need to find the value that corresponds to the upper 2nd percentile of the distribution.

First, let's find the z-score corresponding to the 2nd percentile. The z-score measures the number of standard deviations a particular value is away from the mean.

To find the z-score corresponding to the 2nd percentile, we need to look up the z-score associated with a cumulative probability of 0.98. This value can be obtained from a standard normal distribution table or using statistical software.

Once we have the z-score, we can solve the equation for x to find the corresponding number of shark attacks per year.

x = z * σ + μ

Substituting the values we have:

x = z * 10.0 + 31.8

This will give us the number of shark attacks per year that separates the top 2% from the bottom 98%.

(2) To determine the number of shark attacks per year that constitute the middle 80% of shark attacks per year, we need to find the values that represent the lower and upper boundaries of this range. In other words, we want to find the numbers of shark attacks per year that lie within the 10th and 90th percentiles of the distribution.

Using the same process as before, we can find the z-scores corresponding to the 10th and 90th percentiles. We then use these z-scores to calculate the corresponding values of x using the formula:

x = z * σ + μ

The resulting values will represent the number of shark attacks per year that constitute the middle 80% of the distribution.

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Answer:

38:48=3:4

48:42= 8:7

20:30= 2:3

16:14=8:7

9:12=3:4

56:49=8:7

24:32=3:4

24:36=2:3

18:27=2:3

Step-by-step explanation:

The simplest form of ratio 18:27 , 20:30 , and 24:36 is 2;3.

The simplest form of ratio 24:32, 9;12, and 36:48. is 3;4.

The simplest form of ratio 56:49 , 16:14 , and 48;42 is 8;7.

We have to determine, the simplest form of each ratio.

The given ratios are; 24:32, 56:49 , 9:12 , 36:48 , 18:27 , 16:14 , 20:30 , 48:42 , 24:36.

The simplest form of the ratio 24;32 is,

\(\dfrac{24}{32} = \dfrac{12}{16} = \dfrac{6}{8} = \dfrac{3}{4}\)

The simplest form of the ratio 56;49 is,

\(\dfrac{56}{49} = \dfrac{8}{7}\)

The simplest form of the ratio 9;12 is,

\(\dfrac{9}{12} = \dfrac{3}{4}\)

The simplest form of the ratio 36;48 is,

\(\dfrac{36}{48} = \dfrac{18}{24} = \dfrac{9}{12} = \dfrac{3}{4}\)

The simplest form of the ratio 18;27 is,

\(\dfrac{18}{27} = \dfrac{6}{9} = \dfrac{2}{3}\)

The simplest form of the ratio 16;14 is,

\(\dfrac{16}{14} = \dfrac{8}{7}\)

The simplest form of the ratio 20;30 is,

\(\dfrac{20}{30} = \dfrac{2}{3}\)

The simplest form of the ratio 48;42 is,

\(\dfrac{48}{42} = \dfrac{24}{21} = \dfrac{8}{7}\)

The simplest form of the ratio 24;36 is,

\(\dfrac{24}{36} = \dfrac{12}{18} = \dfrac{6}{9} = \dfrac{2}{3}\)

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The equation of the line passing through the points (2,5) and (4,3) is y = -x + 7.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

To find the equation of a line that passes through the points (2,5) and (4,3).

First, we determine the slope (m) using the given points:

\(m = \frac{y_2 - y_1}{x_2-x_1} \\\\m = \frac{ 3 - 5 }{ 4 - 2} \\\\m = \frac{ -2 }{ 2} \\\\m = -1\)

Now, using point (2,5) and slope m = -1, plug into the point-slope form:

y - y₁ = m( x - x₁ )

y - 5 = -1( x - 2 )

Simplify

y - 5 = -x + 2

y = -x + 2 + 5

y = -x + 7

Therefore, the equation of the line is y = -x + 7.

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Answer:

Hello the answer to your question is 0.4 sec.

Step-by-step explanation:

Hope this helps