A mother has R100 to share equally amongst her 7 children. Is this possible? Explain your answer.​

1. Using the conversion rate of 1 kilometer = 0.621371 miles, Oskar determine the distance of his trip in miles.

2. Oskar's 165 kilometer trip is equivalent to 101.87995 miles.

3. The difference between kilometers and miles is that a kilometer is a metric unit of length and a mile is an imperial unit of length.

Paragraph 1: To convert kilometers to miles, Oskar will need to use the conversion rate of 1 kilometer = 0.621371 miles.

This conversion rate can be found on any formula sheet, and it will help Oskar determine the distance of his trip in miles.

Paragraph 2: To convert 165 kilometers into miles, Oskar will simply need to multiply 165 by 0.621371.

The result will give him the distance in miles.

For example, 165 * 0.621371 = 101.87995 miles. Therefore, Oskar's 165 kilometer trip is equivalent to 101.87995 miles.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles. This is common in many countries, including most of Europe and many countries in Asia. The difference between kilometers and miles is that a kilometer is a metric unit of length and a mile is an imperial unit of length. A kilometer is equal to 0.621371 miles, while a mile is equal to 1.60934 kilometers. It's important to be aware of the units used in different countries to ensure accurate navigation.

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Answer:

hello your question is incomplete attached below is the complete question

Answer :

products : \(\frac{7H}{17} units\)

machinery : \(\frac{H}{17} units\)

households : H units

Step-by-step explanation:

attached below is the remaining part of the detailed solution

products : \(\frac{7H}{17} units\)

machinery : \(\frac{H}{17} units\)

households : H units

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

Step-by-step explanation:

Given that :

population mean μ = 120

sample size n = 37

sample mean x = 111

standard deviation = 21

The null hypothesis and the alternative hypothesis can be computed as:

The null hypothesis:

\(\mathbf{ H_o: \mu = 120 }\)

The alternative hypothesis:

\(\mathbf{ H_o: \mu \neq 120 }\)

Since this test is two-tailed,  the value for the test statistics can be computed as:

\(z = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}\)

\(z = \dfrac{111 - 120}{\dfrac{21}{\sqrt{37}}}\)

\(z = \dfrac{-9}{\dfrac{21}{6.08}}\)

z = -2.605

z = -2.61

Since this is a two-tailed test

P-value = 2(z < -2.61)

From the z table;

P-value = 2(0.0045)

P -value = 0.009

Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance

Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

9514 1404 393

Answer:

  150°

Step-by-step explanation:

The size of one interior angle of a regular n-gon is ...

  interior angle = 180° - 360°/n

For n=12, this measure is ...

  = 180° -360°/12 = 180° -30°

  interior angle = 150°

Answer:

150

Step-by-step explanation:

The most appropriate interpretation for the slope of the data given is the height of water in the pool increases by 2 inches per minute. Option (1) is correct.

The slope of a line, also known as its gradient, is the value of the steepness or direction of a line in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.

Given that

Time                       Height

2                                 8

4                                12

6                                16

8                                20

10                              24

The slope of the line = 2

A line's slope is also known as its gradient or rate of change.

The slope can be positive or negative; positive slope values indicate an increase in x as y increases and vice versa.

A negative slope indicates that one variable decreases as the other increases.

Because the slope value given here is positive, we can conclude that the height of the water increases over time.

As a result, the height of the water rises by 2 inches per minute.

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Answer:1.5

Step-by-step explanation:

Y=1/2 of x

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Answer:

88

Step-by-step explanation:

Find the area of the large rectangle: 9 x 12

9 x 12 = 108

Find the area of the non-filled area: 5x4

5 x 4 = 20

Area of the figure: 108 - 20 = 88

The probability that a person who tests positive actually has the disease is 0.012%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

14 tables left

Step-by-step explanation:

23-6-3= 14

The % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

Given that last February there were 617,624 scheduled passenger flights in a certain country, and in February of 1999 there were 709,639, to determine the % decrease in the number of scheduled passenger flights from February of 1999 to last February, the following calculation must be made:

Therefore, the % decrease in the number of scheduled passenger flights from February of 1999 to last February was 12.97%.

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The  number in expanded form can be written as 1000+400+30+6.Place value of 36 is Tens and place value of 1400 is thousand.

The position or placement of a digit within a number impacts its value, according to the mathematical notion of place value. It is a number-representation system in which the value of each digit is determined by its location in the number.

The expanded form of the number can be found by multiplying its Face value with place value.

Let's consider the number 2603. In this number:

3 is in the "ones" place, so its place value is 3.

0 is in the "tens" place, so its place value is 0 multiplied by 10, which is 00.

6 is in the "hundreds" place, so its place value is 6 multiplied by 100, which is 600.

2 is in the "thousands" place, so its place value is 2 multiplied by 1000, which is 2000.

Place value can be detertermined by using, Place value chart as given below,

    Th      H    T    O        

     1        4    3     6

Hence, For given number, the expanded form will be,

\(1*1000+4*100+3*10+6 = 1000+400+30+6\)

Number in place value 36 will be

T     O

3     6

i.e (3 x 10+6). Place value of 36 is tens

and 1400 will be

Th   H   T   O

 1    4   0   0

i.e (1x1000+4x100). Place value of 1400 is thousand.

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Answer:

Correct option is

C

10

5

10P

5

Total ways in which one passenger can stop =10

Total ways in which 5 passengers can stop =10∗10∗10∗10∗10

=10

5

We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other

No. of ways in which no two persons stop at the same floor =10C

5

∗5!

=10P

5

⇒P(E)=10P

5

/10

5

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Therefore, the equation for the line tangent to the curve when x = 4 is y = (7/4) x + 7.

An equation is a mathematical statement that shows the equality between two expressions. Equations are used to solve problems and find solutions to mathematical or real-world problems. They typically involve variables, which are symbols that represent unknown values, and constants, which are known values that are used in the equation. Equations can take many forms, but they generally follow the pattern: expression = expression. Equations are an important tool in mathematics, science, and engineering, and they can be used to model and analyze many different types of systems and processes.

Here,

a. To find the equation for the secant line through the points where x has the given values, we need to find the slope of the line passing through the two points. The two points we need to consider are (4, 14) and (9, 21):

slope = (change in y) / (change in x)

= (21 - 14) / (9 - 4)

= 7 / 5

Now we can use the point-slope form of a line to find the equation of the secant line passing through these two points:

y - 14 = (7/5) (x - 4)

Simplifying this equation, we get:

y = (7/5) x + 6.6

Therefore, the equation for the secant line passing through the points where x has the given values is y = (7/5) x + 6.6.

b. To find the equation for the line tangent to the curve when x has the first value, we need to find the derivative of the function y = 7sqrt(x) with respect to x:

y' = (7/2) x*(-1/2)

Evaluating this derivative at x = 4, we get:

y'(4) = (7/2) (4*(-1/2)) = 7/4

This is the slope of the tangent line at x = 4. We can use the point-slope form of a line to find the equation of the tangent line at this point:

y - 14 = (7/4) (x - 4)

Simplifying this equation, we get:

y = (7/4) x + 7

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\(5x - 7 \leqslant 13 \\ add \: 7 \: on \: both \: sides \\ 5x - 7 + 7 \leqslant 13 + 7 \\ 5x \leqslant 20 \\ divide \: both \: sides \: by \: 5 \\ \frac{5x}{5} \leqslant \frac{20}{5} \\ x \leqslant 4\)

First, you should remember the table of multiply of 7.. we gonna do it...

You can note that the first number correspond to 7 x 1 = 7

the second number correspond to 7x3=21

the thrid number will be 7x4=28

and the latest number of the first part will be 7x6=42

For the second part we deduce the same fron table of 6... we do it quickly..

From that table, the first value is 6, later the first gape or second value will be 12

I need make a correction, the relationship to find the gaps will be determined comparing that two tables of multiply.. table of 7 and table of 6.... then..

From that image you have the first group of values...

And from that image you have the latest values to complete the gaps..

Answer:

72

Step-by-step explanation:

$48 + $20 = $68

$68 - $32 = $36

$36 × 2 = $72

For the experiment of rolling a fair dice, each face has an equal probability of showing up.

Let 'p' be the probability of getiing a particular face.

So the probability of rolling any of the 6 face is 'p'.

Now, the sum of all probability should be unity,

Thus, the probability of any face is 1/6.

Hence, it concludes that the theoritical probability of rolling a 2 is equal to 1/6.