you buy a waterproof map of yosemite and are planning a hike. the map says it has a representative fraction of 1:24,000. you measure a segment of the trail to be 4 cm long. how many kilometers on the ground will that be? remember 100,000 cm

Answer:

x = -4

Step-by-step explanation:

4(2-x)=24

8 - 4x = 24

-4x = 16

x = -4

Let's check

4(2 -( -4)) = 24

4 (6) = 24

24 = 24

So, x = -4 is the correct answer!

Answer:

x=4

Step-by-step explanation:

4(2-x)=24

4*2= 8   4*x = 4x

8-4x = 24

24-8 = 16

4x = 16

16/4 = 4

x=4

Answer:

The regular size is worth it more but I forgot how to put it in percentage

Step-by-step explanation:

The probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 0.4

We can calculate the probability by finding the number of favorable outcomes, i.e., the number of ways that Sergio can choose a number that is larger than the sum of the two numbers chosen by Tina, and dividing it by the total number of possible outcomes, which is

5C2 * 10C1 = (5!/(2! * 3!)) * 10

= 100

Tina's sum   Sergio's favorable outcomes  

3           7

4           6

5           5

6           4

7           3

8           2

9           1

For example the sum 5 can be achieved by two ways, that is 1+4 and 2+3. So

Tina's sum   Number of ways to achieve that sum

3           1

4           1

5           2

6           2

7           2

8           1

9           1

The number of favourable outcomes is

= 1*7 + 1*6 + 2*5 + 2*4 + 2*3 + 1*2 +1*1

= 40

So probability is

= 40/ 100

= 0.4

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Answer:

if the number is -125 then cube root is -5

if the number is 125 the cube root is 5

Answer:

It is -5

Step-by-step explanation:

The coordinates of the vertices of the image of the trapezoid are given as;

A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) , D'(x, y) = (- 7 / 2, 5 / 2).

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described :

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where O(x, y) - Center of dilation

k - Scale factor

And P(x, y) - Coordinates of the original point, P'(x, y) - Coordinates of the resulting point.

Since k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4),

Therefore, the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2)  (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B';

B'(x, y) = O(x, y) + k [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2)  (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C';

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2)  [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k  [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

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Answer:

The first and third.

Step-by-step explanation:

For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.

Answer:-12x

Step-by-step explanation:

just trust me on this

The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.

Statistical analysis is the method of using statistical techniques to collect and analyze data, evaluate its reliability and determine its statistical significance. The following are the primary purposes of statistical analysis:Provide summaries and descriptions of data: One of the most important applications of statistical analysis is to present data in a clear and concise manner. Summarizing the data can assist people in making sense of the data and drawing inferences from it.

For example, data can be summarized using graphs, charts, or tables. Identify patterns and relationships: The goal of statistical analysis is to identify any patterns or relationships that exist within the data. For example, statistical analysis can be used to determine if a product's sales are correlated with a specific time of year.

Test hypotheses and draw conclusions: Statistical analysis is used to test hypotheses and draw conclusions about a population or phenomenon. This is accomplished by using statistical techniques to determine whether or not the data supports a particular hypothesis. Statistical analysis can also be used to determine the probability of an event occurring in the future.

The primary purpose of statistical analysis is to transform information into data. Therefore, the correct option is a)transform information into data.

The complete question is as follows:

The primary purpose of statistical analysis is to:

a)transform information into data.
b)select samples and make inferences about populations
c)convert data into useful desicion-making information
d)perform statistical computations

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Answer:  the answer is 1000cm2.

The volume of a triangular prism shaped box is 2,400 cubic centimeters.

Base of the triangle = 16cm

Sides of the triangle = 17cm

Length of the box = 20cm

A triangular prism is a three-sided prism made of a triangular base and a corresponding side.

Lateral area =  Perimeter of triangle X height of the prism

Lateral area =  (16 + 17 + 17) X 20

Lateral area =  50 X 20

Lateral area =  1,000 cm2

Therefore, the answer is 1000cm2.

The age of the artifact is 3523.77 years.

What is radioactive decay?

The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.

Here,

The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)

 All radioactive decay processes follow the first-order reaction.

The equation for the half-life for first-order reaction follows:

t(1/2) = 0.693/k....(1)

where,

k = rate constant of a first-order reaction

Given value:

t(1/2) = 5715 years

Put the value of t in equation (1), and we get

k = 0.693/5715

k = 1.21×10⁻⁴yr

The integrated rate law expression for first-order reaction follows:

t = 2.303/k×㏒(a/(a-x))

where,

t = time period

a = initial concentration of the reactant = 58.2 counts per minute

(a-x) = Concentration of reactant left after time t = 38.0 counts per minute

k = rate constant of a first-order reaction

Put the values in the equation and we get

t = 2.303/1.21×10⁻⁴㏒58.2/38

t = 3523.77 years.

Hence, the age of the artifact is 3523.77 years.

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The proportion of the normal distribution that is found in z score of 1.20 and 1.75 is 7.5% .

In order to find the proportion of the normal distribution between two z-scores, we need to use a standard normal distribution table ,

By using the standard normal distribution table, we can find the proportion between z scores z = 1.20 and z = 1.75 by subtracting the cumulative probability of z = 1.20 from the cumulative probability of z = 1.75:

⇒ P(1.20 ≤ z ≤ 1.75) = P(z ≤ 1.75) - P(z ≤ 1.20)

From a standard normal distribution table,

We get that the cumulative probability for z = 1.20 is 0.88493, and the cumulative probability for z = 1.75 is 0.95994.

Substituting these values,

We get ,

⇒ P(1.20 ≤ z ≤ 1.75) = 0.95994 - 0.88493

⇒ P(1.20 ≤ z ≤ 1.75) = 0.07501

Therefore, the proportion of the normal distribution is approximately 0.075 or 7.5%.

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Based on the above figures and the formula for calculating the debt-assets ratio, the company's debt-assets ratio (where debt is defined to include both short-term and long-term debt) is 0.413 or 41.3%.

The given balance sheet data,

Balance Sheet Data

Cash on Hand 2,000

Total Current Assets 78,000

Total Assets 315,000

Overdraft Loan Payable 4,000

1- Year Bank Loan Payable 8,000

Current Portion of Long-Term Loans 13,000

Total Current Liabilities 48,000

Long-Term Bank Loans Outstanding 105,000

Shareholder Equity Year11 Balance Year 12 Change Common Stock 10,000 0 10,000

Additional Capital 100,000 0 100,000

Retained Earning 30,000 22,000 52,000

Total Shareholder Equity 140,000 +22,000 162,000

          The debt-assets ratio is calculated by dividing the total debt (current liabilities + long-term loans) by the total assets.

           In this case, the total debt is 48,000 + 105,000 = 153,000

           and the total assets are 315,000.

   Thus, the debt-assets ratio is 153,000/315,000 = 0.413.

           Also, the debt-assets ratio is 0.413 * 100 = 41.3%

           The correct answer is b) 0.413.

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The probability that at most three grafts fail is 0.98 and the probability that at least two grafts fail is 0.1.

To find the probability that at most three grafts fail, we need to find the sum of the probabilities for x = 0, 1, 2, and 3.

Using the given values of f(x), we get:

P(X <= 3) = f(0) + f(1) + f(2) + f(3)

= 0.7 + 0.2 + 0.05 + 0.03

= 0.98

So the probability that at most three grafts fail is 0.98.

To find the probability that at least two grafts fail, we need to find the sum of the probabilities for x = 2, 3, and 4 and subtract it from 1.

Using the given values of f(x), we get:

P(X >= 2) = 1 - (f(0) + f(1)) = 1 - (0.7 + 0.2) = 0.1

So the probability that at least two grafts fail is 0.1

--The question is incomplete, answering to the question below--

"Grafting the uniting of the stem of one plant with the stem or root of another; is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with hardy root system: Most Florida sweet oranges grow on trees grafted to the root of sour orange variety. The density for X, the number of 'grafts that fail in series of five trials.

For the values of x = 0, 1, 2, 3, and 4 value of f(x) is 0.7, 0.2, 0.05, 0.03, and 0.01 respectively.

Use f(x) to find the probability that at most three grafts fail; that at least two grafts fail."

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Answer:

2

Step-by-step explanation:

this answer is right you can see hear

Answer:

The correct answer is z=2 I did the math sorry if it is not correct!

Answer:

60

Step-by-step explanation:

if 3 represents 5% and we know 5%*20 =100% then

3*20=60 represents 100%

Answer:

0.03846153846

Step-by-step explanation:

Answer: 1/26 or 0.0384615

Step-by-step explanation: You Have To Figure Out How Many Times 22 can go into 57 The Answer is 2 leaving 13 bring down the 2 it makes 132         22 times 6  = 132 so the answer is 1/26.

Option D. Nominal measurement is used primarily to name or categorical data.

Nominal measurement is one of the four levels of measurement used in statistics, along with ordinal, interval, and ratio measurement. Nominal data are qualitative or categorical data that can be assigned to discrete categories based on some characteristic or attribute, such as color, gender, or species. Nominal data do not have a natural ordering, so they cannot be ranked or ordered based on magnitude or size.

Nominal measurement is a type of measurement in which data are named or categorized based on some characteristic or attribute. Nominal data are typically qualitative or categorical in nature, meaning that they are not numerical in value. Examples of nominal data include gender, race, religion, color, or type of animal.

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Answer:

Step-by-step explanation:

Add the numbers first. (-10 + 4)

f(x)=x^2-10+4;f(-2)

f(x)=x^2-6;f(-2)

Then re-order the terms so that the constants are on the left. f & (-2)

f(x)=x^2-6;f(-2)

f(x)=x^2-6;-2f

Your answer will then be f(x)=x^2-6;-2f.

Answer:

-10

Step-by-step explanation:

f(x) = f(-2)

(-2) × 2 - 10 + 4

= (-4) - 10 + 4

= (-14) + 4

= (-10)

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Factors of 24 and 40

24:  1, 2, 3, 4, 6, 8, 12, 24

40:  1, 2, 4, 5, 8, 10, 20, 40

8 comes as the GCF of both

Answer: 16

Step-by-step explanation:

1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16

Answer:

16

Step-by-step explanation:

Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.

After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.

Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.

So, the bookstore has 56 - 40 = 16 copies left.

Answer:

x ≅ 9.5; y ≅ 15.3

Step-by-step explanation:

The sine proportion is opposite / hypotenuse while the cosine proportion is adjacent / hypotenuse.

We can find x using sine (as the x is the measure of the opposite side and 18 is the hypotenuse) and let 32 be the reference angle:

\(sin(32)=\frac{x}{18}\\ 18*sin(32)=x\\9.538=9.5=x\)

We can find y using cosine (as y is the measure of the adjacent side and 18 is the hypotenuse) and let 32 be the reference angle:

\(cos(32)=\frac{y}{18}\\ 18*cos(32)=y\\15.264=15.3=y\)

Answer:

36.5miles/gallon

Step-by-step explanation:

Given the equation y=36.5x which represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. The rate of change of the function is expressed as dy/dx

On differentiating the function;

dy/dx = 36.5

Hence the rate of change of the function is 36.5miles/gallon

The steps for proof by mathematical induction that P(n) is true for all positive integers n, All options are true.

The steps for a proof by mathematical induction that P(n) is true for all positive integers n are as follows:

a. Verify that P(1) is true.

b. Demonstrate that the conditional statement Plk) implies Plk+1) is true for all positive integers k.

c. Verify that P(1), P(2), P(3), ..., P(k) is all true, where k is a specific large, positive integer.

d. Demonstrate that if P(k) is false, then Plk+1) is false for all positive integers k.

e. Demonstrate that P(k+1) implies Plk) is true for all integers k.

Therefore, option (a), option (b), option (c), option (d), and option (e) are the steps for proof by mathematical induction that P(n) is true for all positive integers n.

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To be both triangles to be congruent the distance between the school and the park be 1.1 miles.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given two triangles,

The side 2.7 miles is the common side.

The angle is 52 degrees in both triangles same.

To be congruent any one side must be the same by the SAS rule.

Thus, the school-to-park corresponding side is school-to-store.

school to park = 1.1 miles

Hence "To be both triangles to be congruent the distance between the school and the park be 1.1 miles".

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The function represented by the table can be written as:

y = -4x + 3

Here we have a function represented by a table. Notice that for each increase of one unit in the x-value, the y-value decreases by 4.

Then we have a linear function, which can be written in a general form as:

y = a*x +b

Where a isthe slope and b is the y-intercept.

Because of the first pair on the table, (0, 3), we conclude that the y-intercept is 3, then we can rewrite:

y = a*x + 3

Now we can use the second point (1, - 1) and replace the values on the equation above.

-1 = a*1 + 3

-1 = a + 3

-1 - 3 = a

-4 = a

The linear function is:

y = -4x + 3

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

1:45

Step-by-step explanation:

Trickish a bit. But look at it from this angle.

Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.

Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.

The answer is therefore 1:45

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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