(b) Work out the value of (2.4 x 10³) x (9.5 x 10³)
Give your answer in standard form.

Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

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Answer: (1, -1)

Step-by-step explanation:

you would first start out with

5x+2y=3

4x-8y=12

you would then subsitute the value of x

x=3/5-2/5 y

4x-8y=12

you then solve the equation

4(3/5-2/5 y) -8y=12

you then subsitute the vaulue of y

y=-1

then you solve the equation

x=3/5-2/5 x(-1)

A possile solution is

x=1

you should then check the solution

(x,y) = (1,-1)

Hence, the standard deviation is more affected by skewness compared to the IQR.

Skewness is a metric for a distribution's asymmetry. When the left and right sides of a distribution are not mirror reflections, it is asymmetrical. Right (or positive), left (or negative), or zero skewness can all apply to a distribution.

Skewness refers to the degree of asymmetry in a distribution and a skewed distribution has more observations on one side than the other. In a skewed distribution, the standard deviation is a better measure of spread as it takes into account the deviation of each data point from the mean. On the other hand, the interquartile range (IQR),

which is the difference between the 75th and 25th percentile, is less affected by skewness as it only considers the middle 50% of the data. Hence, the standard deviation is more affected by skewness compared to the IQR.

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To find the simple interest rate, you can use the following formula:

Simple interest rate = (ending balance - starting balance) / (starting balance * number of years)

In this case, the starting balance is $7,590, the ending balance is $11,916.30, and the number of years is 10. Plugging in these values, we have:

Simple interest rate = ($11,916.30 - $7,590) / ($7,590 * 10)

= ($4,326.30) / ($7,590 * 10)

= $4,326.30 / $75,900

= 0.057 or 5.7%.

Therefore, the simple interest rate is 5.7%.

Answer:

Suppose an investor invested $7,590 in a savings account with basic yearly interest 10 years ago. The account currently has a balance of $11,916.30. 5.7% is the basic interest rate.

Why do we call something "interesting"?

You must pay interest on money you borrow, and you must add interest to money you lend. The most typical approach to display interest is as a percentage of the annualized principal amount of a loan. This ratio represents the interest rate on the loan.

What is meant by an interest example?

By examining the rate, a person can figure out exactly how much interest they will accrue or pay on a loan. For example, if a $100 loan had a nominal interest rate, there would be a $6 interest fee.of 6% ($100 X 0.06). Despite an increase in loan size, the rate doesn't change. Even if the loan amount were increased to$1,000, the borrower would still be expected to pay 6% of the total.

Step-by-step explanation:

The required distance between each pair of numbers on a number line is below in the solution part.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

1. The distance between 5 and -2 on a number line is |5-(-2)| = 7 units.

2. The distance between -8 and -17 on a number line is |-17-(-8)| = 9 units.

3. The distance between 28 and -12 on a number line is |28-(-12)| = 40 units.

4. The distance between -17 and 15 on a number line is |15-(-17)| = 32 units.

5. The distance between 33 and -2 on a number line is |33-(-2)| = 35 units.

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Answer:

C. $5,993

Step-by-step explanation:

Markdown is an immediate reduction in the price of an item, performed by a merchant during a special sale. A markdown discount is most often a percentage decrease in the original price. The purpose of a markdown sale is to create a demand of a product during the time period of the sale.

Answer:

20% of 11 is 2.2

Step-by-step explanation:

11 x .20 = 2.2

Together, Lindsay and Lorraine needs to jump 21 more jumps in a row.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Number of jumps got by Lindsay = 14

Number of jumps got by Lorraine = 13

Total number of jumps gotten by both = 27

Let j be the number of jumps they need to jump more.

j = 48 - 27

j = 21

Hence 21 more jumps would be needed.

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The first step to graph the solution to the system of equations given is option D. Change the inequalities to equalities and solve the resulting system of linear equations.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

1. Given system of inequalities are,

y ≥ x + 3

x < −2

In order to graph the solution, first we have to change the inequality symbols to equality and solve the resulting system of linear equations.

That is, solve y = x + 3 and x = -2

2. The equations of the given line are

y = x - 3

y = -2x

Take the linear equation y = x - 3.

The solution region of both contains the point (-1, 0).

0 = -1 - 3 = -4, correct inequality is 0 ≥ 4.

So the inequality is y ≥ x - 3.

Consider y = -2x

0 = 2, correct inequality is 0 ≤ 2.

So the inequality is y ≤ -2x.

Hence the system of inequalities shown in the graph are option B. y ≥ x - 3 and y ≤ -2x.

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The kind of discontinuous measurement procedure that is used is partial interval recording

Given that,

A client frequently shouts things out loud. You break up the session into shorter timed segments in order to get data on this. You record an event if the behavior happens at any time throughout the interval.

To find : which discontinuous measuring technique are you employing?

An interval recording technique is partial interval recording. An interval recording approach involves watching to see if a behaviour happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length.

So, partial interval recording is the type of discontinuous measuring technique that is applied.

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Answer:

63°

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180.

90 + (12x + 3) + (5x + 2) = 180     now solve for x

17x + 95 = 180

17x = 180 - 95 = 85

x = 85/17 = 5

m∠A = 12(5) + 3 = 63

The division of the given expressions gives quotient as x + 6 and the remainder 42.

Synthetic division is the method of division used to divide a polynomial expression with the binomial.

We have to divide x² + x + 12 by x - 5.

Write the coefficients of the dividend in the order of descending powers and the constant term in the binomial as :

 5 |     1    1    12

Write the leading coefficient in the bottom row and then multiply the 1 written on the bottom row with 5 and write it beneath the next coefficient of the dividend.

 5 |     1    1    12

               5    

          1    

Now add 1 + 5 to get 6 and write in the bottom row.

Repeat the process by multiplying 6 with 5 and adding up.

 5 |     1    1    12

               5   30

          1    6   42

Here, 42 is the remainder and 1 and 6 are the coefficients of the quotient.

Quotient = x + 6

Remainder = 42

Hence the quotient and remainder are x+6 and 42 respectively.

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The vertical height of the kite is 165.5 ft

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled

Given that, a kid is flying a kite and has reeled out his entire line of 150 ft of string, the angle of elevation of the string is 65°

We need to find, the vertical height of the kite,

If we see the figure (refer to the attachment), we can see that, this scene will make a right triangle, where the string of the kite will be the hypotenuse and the vertical height of the kite is the perpendicular,

Since, we need the vertical height, will use trigonometric ratios,

We have, hypotenuse and the references angle and need perpendicular,

We know that, Sine of an angle is the ratio of perpendicular to hypotenuse,

Therefore,

Sin65° = 150 / AB

AB = 165.5

Hence, the vertical height of the kite is 165.5 ft

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Answer:

$6.50

Step-by-step explanation:

25 - 6.25 = 18.75

18.75 - 3.75 = 15

15 - 8.50 = 6.50

Answer:

length = 10 inches

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width )

here w = 14 and P = 48 , then

48 = 2l + 2(14)

48 = 2l + 28 ( subtract 28 from both sides )

20 = 2l ( divide both sides by 2 )

10 = l

then length is 10 inches

The method that Ross can use to make valid conclusions on the candidate in the lead is C. Put the names of all the students in a hat, and draw 100 names. Ask those students whose names are drawn.

When conducting the survey, it is important the Ross uses a random sample from the classmates who will be the ones to select the class treasurer.

To do this, one method of random sampling Ross can use is to draw 100 names from a hat after placing all the pupils' names inside. Students whose names were drawn can be questioned.

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The full question is :

Ross wants to conduct a survey of his 400 classmates to determine which candidate for class treasurer, Warren or Willa, is in the lead in the upcoming election.

Ross will ask the question, “If the election were today, which candidate would get your vote?”

Which of the following methods of surveying his classmates will allow Ross to make valid conclusions about which candidate is in the lead?

Select all that apply.

*Ask all of Warren's friends.

*Ask the other members of Willa's cheerleading squad.

*Put the names of all the students in a hat, and draw 100 names. Ask those students whose names are drawn.

*Ask every student in the class.

Answer:

80 divded by 10 is c c=8

There are 95,040 different ways for the first five cars to go through the toll booth.

The first car can be chosen in 12 ways. After the first car has been chosen, the second car can be chosen in 11 ways. This process continues, so the third car can be chosen in 10 ways, the fourth car can be chosen in 9 ways, and the fifth car can be chosen in 8 ways.

So the total number of ways to choose the first five cars is as follows:

12 x 11 x 10 x 9 x 8 = 95,040

Therefore, there are 95,040 different ways for the first five cars to go through the toll booth.

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The expression in simplest form that represents the

total amount that Andrew spent would be = $8d

The simple forms of representation of expression shows that all the values of that expression are in its simplest form.

In Andrew cans of ping pong balls,

Last week he bought = 4 cans

This week he bought = 2 cans

The cost of ping pong balls = d dollars per

can..

The total amount that Andrew spent would be;

= d × ( 4+2)

= $8d

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Answer:

(a) In a school trip the ratio of adults to students is 1:10 , and all of the students are in year 10 or year 11. The ratio of year 10 to year 11 is 1:4, so the fraction of all the people on the trip who are year 11 students is 1/5.

(b) In a cinema the ratio of adults to children is 2:3, and the children are either boys or girls. The ratio of boys to girls is 5:2 , so the fraction of all the people in the cinema who are girls is 2/5.

The missing rectangle has a relative frequency of 0.15, and this is the same as the height.

Let us define what a frequency and relative frequency are

The frequency of a datum is the number of times a given item (datum) appears in the data set.

While the relative frequency is the fraction or proportion of times taken from the whole in which an item/datum occurs.

So, from the image I uploaded, the relative frequency column represents the height of the histogram. Let the height of the missing rectangle be x.

Therefore the heights of the rectangles written from left to right are 0.05, 0.1, 0.15, x, 0.25, 0.2, and 0.1.

From the definition of relative frequency, the total sum of relative frequency is 1, if represented as decimals or fractions it can either be expressed in percentage, or decimal (fractions). In this question, it is represented in decimal, and the sum of all the relative frequency is 1.

0.05 + 0.1 + 0.15 + x + 0.25 + 0.2 + 0.1 = 1 ;

0.85+ x =1

Therefore, x = 1 - 0.85= 0.15

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The three lengths 8, 9 and 10 form a triangle.

In Euclidean geometry stating that any two triangle sides added together must be greater than or equal to the third side; represented by the symbols a + b ≥c. The basic tenet of the theorem is that a straight line connects any two places.

Given:

Sides: 8, 9, 10

As from Triangle Inequality the sum of two sides are greater than the third side of triangle.

So, 8 + 9 > 10

9 + 10 > 8

10+ 8> 9

Since the triangle inequality satisfied.

Thus, the triangle can form using sides 8, 9, 10.

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If this experiment was performed many times you would expect that the average number of heads is 5.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

From the graph,

The theoretical probability of getting 5 heads in ten flips of a fair coin.

= 0.25

= 25%

And,

The theoretical probability of getting 0 and 10, 1 and 9, 2 and 8, 3 and 7, and 4 and 6 heads is equal.

The average number of heads.

= (0 + 10)/2 = 5

Similarly,

(1 + 9)/2 = 10/2 = 5

(2 + 8)/2 = 10/2 = 5

(3 + 7)/2 = 10/2 = 5

(4 + 6)/2 = 10/2 = 5

So,

If this experiment was performed many times you would expect that the average of heads is 5.

Thus,

The expected average number of heads is 5.

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Answer:

5

Step-by-step explanation:

The answer above is correct.

Standard deviation affects the skewness more.

In data sets containing outliers or skewed distributions, the interquartile range is the most accurate indicator of variability.   It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.

A measure of dispersion that demonstrates how closely a set of data's values resemble the mean is called standard deviation.

Outliers in a data set or a skewed data distribution might have an impact on the standard deviation.

Interquartile Range (IQR) is a spread indicator that depicts the variation between a data set's first and third quartiles.

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Given a standardized normal distribution, 1.96 is the value of z if only 2.5 perent of all possible z values are larger.

In a standard normal distribution, 2.5% of all possible z-values are larger than a certain value of z, which is denoted by z*. We can use this information to find the value of z* by using the cumulative distribution function (CDF) of the standard normal distribution. The CDF of the standard normal distribution is given by the equation:

Φ(z) = 1/2 * (1 + erf(z/sqrt(2))) , where erf(z) is the error function.

Since 2.5% of all possible z-values are larger than z*, we can set Φ(z*) = 1 - 0.025 = 0.975. Then, we can solve for z* by finding the inverse of the CDF using the inverse error function:

z* = sqrt(2) * erf^(-1)(2 * Φ(z*) - 1) , where erf^(-1)(z) is the inverse error function.

Using this formula, we find that z* = 1.96, which means that if a standardized normal distribution is given, a z-value of 1.96 corresponds to 2.5% of all possible z-values being larger.

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Answer:  x= - 9/4

Step-by-step explanation:

1. Move the variable to the left, and change its sign.

-4x+8+2x=17

2. Collect like terms

-2x=17-8

3. Divide each side by -2

-2x=9

Answer: x= - 9/2

Answer: 2/3

Step-by-step explanation: 1/3+1/3 is 2/3.

Answer:

Exact form:2/3

decimal form:       _

                           0.6

Step-by-step explanation:

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

The mass of a banana is about C. 150 g.

A can of cola would be around A. 300 ml.

From the options, the best estimate for the mass of a banana is 150 g. This is because 1. 5 kg is much too heavy for a single banana which makes 15 kg ridiculously heavy. 15 g would be too light however as this is the mass of about 6 pennies.

There are several quantities for a can of cola, and they are all in 100s of milliliteters. The most likely quantity of a can of cola from the options is therefore 300 ml.

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