O Zeema gets paid £22,440 per annum. Assuming she gets paid in equal monthly payments, how much does she earn per month?​

Answer:

18

Step-by-step explanation:

no. of boys=2x

no.of girls=x

total no. of pupils=2x+x

27=3x

27/3=x

x=no.of girls=9

no.of boys =2x=2*9=18

Answer: 18 Boys

Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice

Girl have to pay total R159014 to bank  and compound interest is R31014.

A  girl borrow R128000 from a bank to buy a piece of land.

Land charge is 15% Per Annum and time is 1 \(\frac{1}{2}\)  year.

Compounding  with half yearly.

So land charge will be (15/2)  %  per half yearly and time will be 2 x 1 \(\frac{1}{2}\)  = 3 half  years.

Total amount ( A ) =P (1+R/100)^T

P = initial principal = 128000

R = (15/2) %

T = 3 half yearly

A =P\((1+\frac{R}{100} )^{T}\)

A=128000\((1+\frac{15}{2*100} )^{3}\)

A=128000\((\frac{43}{40} )^{3}\)

A=159014

Total interest amount = 159014 – 128000 = 31014

Therefore , total payable amount is R159014 and interest amount is R31014.

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Answer: slope for line b is 2

Step-by-step explanation:

If a line is parallel to another, that means they have the same slope, different y-intercept.

Since it's given that a is parallel to b, that means the slope is the same, thus the slope of b is 2.

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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The number of times of a product of 6 is the expected value

The product of 6 is expected 22 times

In a roll of two dice, where the sample space is the sum of the outcomes

The number of product of 6 is: 4

So, the probability of selecting a product of 6 is:

\(P(6) = \frac 4{36}\)

Simplify

\(P(6) = \frac1{9}\)

In an experiment of 200 times, the expected value is:

\(E(x) = np\)

So, we have:

\(E(x) = \frac 19 * 200\)

\(E(x) = 22\)

Hence, the product of 6 is expected 22 times

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Answer:

11

Step-by-step explanation:

16-x

substitute with 5

16-5

11

The value is 11.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here, given that,

16-x

now, we have to ,

substitute with 5

=16-5

=11

Hence, The value is 11.

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A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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Answer:

x= -2

Step-by-step explanation:

First you distribute then subtract the non- x number over to the other side and finally you divide

As per the volume, the dimension of an Extra Large Box is 3.78 feet.

Let's call the length of one side of the cube "s". Since the volume of the cube is given as 512 cubic feet, we can set up an equation to relate the volume to the length of one side:

Volume of cube = s³ = 512 cubic feet

To solve for "s", we can take the cube root of both sides of the equation:

s = ∛512

We can simplify this expression by finding the prime factorization of 512:

512 = 2⁹

Therefore, we can rewrite the expression for "s" as:

s = ∛2⁹

Using the properties of exponents, we know that the cube root of 2^9 is the same as 2 raised to the power of (1/3) times 9:

s = \(2^{1/3} \times 9^{1/3}\)

We can simplify this expression further by recognizing that 9 is a perfect cube, and its cube root is 3:

s = \(2^{1/3} \times 3\)

Therefore, the length of one side of the cube-shaped box is:

s = \(2^{1/3} \times 3\) feet

Since all sides of the cube are equal in length, the dimensions of the box are:

Length = Width = Height = \(2^{1/3} \times 3\) feet = 3.78 feet.

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Complete Question:

Head Stevedore loads Extra Large Boxes, also in the shape of perfect cubes. The volume of each box is 512 cubic feet. What are the dimension of an Extra Large Box?

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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Answer:

13 nickles

Step-by-step explanation:

x= dimes

y= nickles

.1x+.05y=2.35

x-4=y

subsituting this...

.1x+.05(x-4)=2.35

.1x+.05x-.2=2.35

.15x=2.55

x=17

17-4=y

13=y

13 nickels

In the given case-Interval notation can be used to express the subsets of the real number line.

The definition of set interval notation

In interval notation, the set's rightmost number is written after the set's leftmost number, followed by a comma. The pair is then enclosed in either parentheses or square brackets, depending on whether the two integers are members of the set.

An interval is a set made up of every real number between two particular numbers, which is how a set and an interval differ from one another. An interval's endpoint can be any of the two locations at the line segment's end. The subsets of the real number line can be written in interval notation.

To essentially list numbers, objects, or results in mathematics, set notation is frequently used. Often referred to as braces, curly brackets

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Answer:

Equation: 6+2x=1

Step-by-step explanation:

Sum means addition and just add an x for the 2 times a number and set it equal to 1.

Explanation

Remote interior angles are those that don't share a vertex or corner of a triangle with the exterior angle, in other words remote interior angles are the two interior angles that do not touch the exxterior angle

therefore, the answer

I hope this helps you

The distance between the two points pictured will be \(\sqrt{61}\).

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

\(\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}\)

Hence the distance between the two points pictured will be \(\sqrt{61}\).

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Answer:

n=61

Step-by-step explanation:

Answer:

91.5\(cm^{2}\)

Step-by-step explanation:

The area of the rectangle:

a = lw

a =(21)(3) = 63

The area of the square:

a = lw

a = (5)(5) = 25

The area of a half circle:

a=\(\frac{\pi r^{2} }{2}\)

a= \(\frac{3.14(1.5^{2}) }{2}\)

a = \(\frac{3.14(2.25)}{2}\)

a = \(\frac{7.065}{2}\)

a = 3.5 rounded to the nearest tenth

63 + 25 + 3.5 =91.5

Answer: x < 1

--------------------    

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Calibrations errors.

Systematic error.

The principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields is related to the equipment used.

Two sources of random (statistical) error could include inaccuracies in the measurement device and fluctuations in the environment.

Two sources of systematic error could include calibrations errors of the equipment and interference from external sources.

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It is important to plan for data analysis during the research design process, so that the appropriate methods for data analysis can be chosen and the necessary resources can be allocated.

In most situations, data collection should only begin after the research design process is finished. This is because the research design process involves deciding on the research questions, hypotheses, variables, and methods of data collection and analysis. Once these decisions are made, it is important to finalize the research design before beginning data collection.

Starting data collection before the research design is finished can lead to problems such as collecting irrelevant data, collecting data that does not answer the research questions, or collecting data in a way that is not appropriate for the research design. Therefore, it is important to complete the research design process before beginning data collection.

While it is important to have funding for the research, it is not necessary to have certainty for funding before beginning data collection. In many cases, researchers may start data collection with partial funding, and then apply for additional funding once the initial data has been collected.

Similarly, data analysis should not be complete before data collection, as data collection is a necessary first step in the research process. However, it is important to plan for data analysis during the research design process, so that the appropriate methods for data analysis can be chosen and the necessary resources can be allocated.

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The increase in the minimum wage from $8.10 to $15, indicates that the percentage increase in the minimum wage is 85.\(\overline{185}\)%

A percentage represent the number, amount, proportion or ratio of an item to another (possibly larger) item per hundred (100) units of the comparison or larger item.

Percentages, quantitatively describes the idea of the amount of a substance. It is a measure of the amount or occurrence of an item.

The specified original minimum wage at Ben's Burger = $8.10

The new amount to which the minimum wage is increased = $15

The percentage increase can be obtained using the formula;

\(\% \ increase = \frac{New - Original}{Original} \times 100\)

The percentage increase is therefore; ((15 - 8.10)/8.1) × 100 = 85.\(\overline{185}\) %

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Is that a question? You don't seem to have anything linked or a question posted?

Answer:

11 hours

Step-by-step explanation:

We first want to find the unit rate, mi/hr:  520 mi / 8 hr = 65 mi/hr.

We know that distance is the product of rate and time or d=rt

Thus, we have 715 = 65t, where t = 11 hours

It would take Deandre approximately 10.93 hours to drive 715 miles at the same rate he drove 520 miles in 8 hours.

To find out how long it would take Deandre to drive 715 miles at the same rate, we can use the concept of "distance equals rate multiplied by time" (d = rt).

We already know the distance (d) and rate (r) from the first scenario:

Distance (d) = 520 miles

Time (t) = 8 hours

Now, we need to find the time (t) for the second scenario when the distance is 715 miles.

Let's set up the equation using the same rate (r):

d = rt

For the second scenario:

Distance (d) = 715 miles

Rate (r) = Same rate as before

Time (t) = Unknown (what we want to find)

The equation becomes:

715 = r * t

Now, to find the time (t), we can rearrange the equation:

t = 715 / r

We know that the rate (r) is the same as in the first scenario, which is 520 miles in 8 hours. So, we can substitute r into the equation:

t = 715 / (520/8)

Now, divide 715 by (520/8):

t = 715 / (520/8) ≈ 10.93

Therefore, it would take Deandre approximately 10.93 hours to drive 715 miles at the same rate he drove 520 miles in 8 hours.

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Therefore, the area of the entire circle is 45 square inches.

To find the area of the entire circle, we'll first determine the circle's radius using the given information about the sector. The formula for the area of a sector is:
Sector area = (central angle / 360°) × π × radius²
We know the sector area is 15 square inches, and the central angle is 120°. Let's use this formula to solve for the radius:
15 = (120° / 360°) × π × radius²
Now, let's find the radius and then calculate the area of the entire circle:
1. Divide both sides by (120° / 360°) × π:
radius² = 15 / ((120° / 360°) × π)
2. Simplify:
radius² = 15 / (⅓ × π)
3. Multiply by 3 to get rid of the fraction:
radius² = 45 / π
4. Take the square root of both sides:
radius = √(45 / π)
Now that we have the radius, let's find the area of the entire circle using the formula:
Area = π × radius²
Plug in the radius we found:
Area = π × (45 / π)
Area = 45 square inches

Therefore, the area of the entire circle is 45 square inches.

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The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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Answer:

Difference

Step-by-step explanation:

The Difference of boys and girls in the school coyld change the ratios

part a.

the percentage of eggs between 42 and 45mm is 48.48%

part b.

The median width is approximately (42+45)/2 = 43.5mm.

The median length is approximately (56+59)/2 = 57.5mm.

part c.

The width of grade A chicken eggs has a range of about 24mm.

part d.

I think its impossible to determine because we don't have the value for the standard deviation.

The second option should be correct.

A histogram is described as an approximate representation of the distribution of numerical data.

part a.

From the histogram, we see that the frequency for the bin that ranges from 42 to 45mm is 4 and we have  a total of 33 eggwe use this values and calculate the percentage of eggs between 42 and 45mm is 48.48%.

part b.

we have an  estimation  that the median of the width is 48mm and the median of the length is around 60mm.

part c.

Also from the histogram, we notice  that the smallest value is around 36mm and the largest value is around 66mm, hence the width of grade A chicken eggs has a range of about 24mm.

In a histogram, the range is the width that the bars cover along the x-axis and these are approximate values because histograms display bin values rather than raw data values.

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