14129 Marks

***

Hamid has 20 T-shirts.

The information shows the colours of his T-shirts.

7 black

4 dark blue

4 red

1 light blue

2 white

2 grey

Hamid is going to take one of his T-shirts at random.

a) What is the probability that the T-shirt will be grey?

b) What is the probability that the T-shirt will not be red?

c) He takes one of his blue T-shirts at random.

What is the probability that the T-shirt is light blue?

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

To know more about probability visit :-

https://brainly.com/question/22983072

#SPJ11

Answer:

2827.43

Step-by-step explanation:

Answer: Radius. I hope this helps.

Step-by-step explanation:

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

Answer:

£2.5, £7.5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Hence the shares would be x and 3x

\( \therefore \: x + 3x = 10 \\ 4x = 10 \\ x = \frac{10}{4} \\ x = 2.5 \\ 3x = 3 \times 2.5 = 7.5\)

Answer:

£2.5 and £7.5

Step-by-step explanation:

To share an amount in a certain ratio, find the total number of parts, first:

so, the total number of parts in 1:3 is 4

Now, we have find how much money is given to each part = 10/4 = 2.5

Then, finally, we calculate how much each part receives,

So, it is to be = 1 x 2.5 : 3 x 2.5 = 2.5:7.5

Hope this helps

Answer:

Step-by-step explanation:

Jada is making circular invitations

we have d=12 cm, the radius r=6

she needs to find out the circumference

C=2x3.14x r

C=2x 3.14x6=37.68

180/37.68=4.77

she can make just 4 invitations

True. Instantaneous velocity is the rate of change of displacement at a specific instant in time and can be positive, negative, or zero.

Calculating instantaneous velocity involves dividing the displacement change by the time change. A car's instantaneous velocity, for instance, would be 5/3 metres per second if it travelled 5 metres in 3 seconds.The rate of change of displacement at a particular moment in time is known as the instantaneous velocity. It is the speed in an instant at a particular location, and it can be positive, negative, or zero. The change in displacement (delta x) is divided by the change in time to determine instantaneous velocity.  A car's instantaneous velocity, for instance, would be 5/3 meters per second if it travelled 5 meters in 3 seconds.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Answer:

63

Step-by-step explanation:

x² + 10x + 24                         Evaluate when x = 3

3² + 10(3) + 24

9 + 30 + 24

39 + 24

63

So, the answer is 63

Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.

Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.

In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.

The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.

The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.

Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.

To know more about  Correlation coefficients.

https://brainly.com/question/30634313

#SPJ11

Answer:

r = C / (2pie)

Step-by-step explanation:

C = 2pie x r

divide both sides by 2pie to isolate r

C / (2pie) = r

r = C / (2pie)

The correct answer would be an option (D) Associative Property of Addition.

The associative property of addition is a rule which states that when adding three or more numbers, we can arrange them in any configuration, and the resultant sum is unaffected by how they are arranged.

(a + b) + c = a + (b + c)

Given Line 1 and Line 2 are shown below.

Line 1 as :

⇒ (3 + 9) + 5

Line 2 as :

⇒ 3 + (9 + 5)

According to Associative Property of Addition,

Line 1 as :

(3 + 9) +5 equals 12 + 5 which equals 17

Line 2 as :

3 + (9 + 5) equals 3 + 14 which equals 17

The correct answer would be an option (D) Associative Property of Addition.

Learn more about the Associative Property of Addition here:

https://brainly.com/question/20358404

#SPJ2

Answer:

Step-by-step explanation:

To calculate the current taken by the electric bulb, we can use Ohm's law, which states that the current (I) is equal to the power (P) divided by the voltage (V):

I = P / V

Given:

Voltage (V) = 240V

Power (P) = 100W

Substituting these values into the formula:

I = 100W / 240V

I ≈ 0.4167 Amperes (A)

Therefore, the current taken by the bulb is approximately 0.4167 Amperes (A).

Answer:

✓ Answer:7696.415 Hope I helped!

Answer:

8,000

Step-by-step explanation:

Keep in mind that rounding to the nearest thousand and rounding to the nearest thousandth can give you two completely different answers.

(If your question has a typo and you really meant to ask to round the number to the nearest thousandth, then the answer would be 7,696.415)

In this case, the answer is 8,000.

The number in the thousands place of 7696.41481885 is 7.

The rule in rounding is 5 or more, up the score. 4 or less, let it rest.

Since the number behind 7, the number in the thousands place, is 6, and 6 is greater than 5, we round 7 up to 8.

All the following numbers become 0.

Answer: I want to say the answer is B, hope this helps!

Step-by-step explanation:

Answer:

is 2/3 times - 13/12=- 5/12 times

Step-by-step explanation:

13x = 39 can be used in place of the equation 3x + 5y = 59.

Only D(0,2) falls on the line, as can be seen. Another way to check is to plug the values of the points' x and y coordinates into the equation 2x3y=6, which, as can be seen, only has one solution (0, 2).

An assignment of values to the variables x1, x2,..., xn such that each of the equations is satisfied is the definition of a solution of a linear system. The solution set is the collection of all conceivable solutions.

Learn more about linear equations here:

brainly.com/question/11897796

#SPJ4

Answer:

6

Step-by-step explanation:

The statement is true. The DecimalFormat class is part of the Java API, specifically within java.text package, so it is automatically available to your programs. You can use it to format numbers in various ways, such as for displaying currency or percentages.

DecimalFormat is a concrete subclass of NumberFormat that formats decimal numbers. It has a variety of features designed to make it possible to parse and format numbers in any locale, including support for Western, Arabic, and Indic digits. It also supports different kinds of numbers, including integers (123), fixed-point numbers (123.4), scientific notation (1.23E4), percentages (12%), and currency amounts ($123). All of these can be localized.

To obtain a NumberFormat for a specific locale, including the default locale, call one of NumberFormat's factory methods, such as getInstance(). In general, do not call the DecimalFormat constructors directly, since the NumberFormat factory methods may return subclasses other than DecimalFormat. If you need to customize the format object, do something like this:

NumberFormat f = NumberFormat.getInstance(loc);

if (f instanceof DecimalFormat) {

    ((DecimalFormat) f).setDecimalSeparatorAlwaysShown(true);

}

A DecimalFormat comprises a pattern and a set of symbols. The pattern may be set directly using applyPattern(), or indirectly using the API methods. The symbols are stored in a DecimalFormatSymbols object. When using the NumberFormat factory methods, the pattern and symbols are read from localized ResourceBundles

learn more about The DecimalFormat class is part of the Java API,

https://brainly.com/question/13261452

#SPJ11

True. The Decimal Format class is a part of the Java API and is included in the java.text package.

It is automatically available to Java programs without the need for any additional installations or imports.

The Decimal Format class is part of the Java API, and it is automatically available to your programs.

The Java API is a collection of pre-written classes, methods, and interfaces that are part of the Java Development Kit (JDK).

These classes and methods provide a wide range of functionalities that can be utilized by Java developers to build robust applications.
The Decimal Format class, specifically, is a subclass of the Number Format class and is used to format decimal numbers according to a specific pattern.

The class provides methods to format and parse decimal numbers and can be used to specify the number of digits after the decimal point, the use of a thousand separator, and the currency symbol.
The Decimal Format class in your Java program, you simply need to import the class using the import statement, and then create an instance of the class.

For example:
import java. text. Decimal Format.
public class MyClass

{
public static void main (String [] args) {
Decimal Format df = new Decimal Format("#.00");
double num = 1234.5678
System.out.println(df.format(num));
}
}
The Decimal Format class using the import statement, and then create an instance of the class called df.

We then use the format method of the class to format the decimal number 1234.5678 with two decimal places.
The Decimal Format class is an essential part of the Java API and is automatically available to your programs.

Its inclusion in the Java API makes it easier for Java developers to format decimal numbers in their applications.

For similar questions on Decimal

https://brainly.com/question/28393353

#SPJ11

Answer: multiple of sum 2+5

Step-by-step explanation:

18/9=2

45/9=5

2+5=7

18+45=63

63/7=9

2+5

Answer:

19.05 knots average per hour

Step-by-step explanation:

Distance traveled = 200 nautical miles

Time taken = \(10\frac{1}{2}\)  hours = \(\frac{10\times2+1}2=\frac{21}{2}\) hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

\(\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}\)

Putting the values in the formula:

\(\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}\)

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour

Answer:

192

Step-by-step explanation:

(a x b) x c

Let a=2  b=8  c=12

(2 * 8) * 12

16 * 12

192

Answer:

Step-by-step explanation:

\(a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192\)

Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

When you divide, you find the reciprocal (flip the numerator and denominator) of the number after the division sign and then multiply.

9/11 divided by 5/11

9/11 x 11/5

9/5

1 4/5

The value of a is 1, b is 4, and c is 5.

:)

The given statement "Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set." is False

Range: It is the difference between the minimum and maximum values of data. It is affected by the presence of outliers.

Interquartile range: It is the difference between the third quartile and the first quartile of data.

Variance:

Variance = \(\frac{\Sigma(x_{i} - \bar{x})^{2}}{n}\)

where xi are data points,  \(\bar{x}\) is the mean and n is the number of observations. It is a measure of the spread of the data. It is affected by the presence of outliers as they increase the variation in the data.

Hence, the given statement is false.

To learn more about interquartile range here:

brainly.com/question/11647487

#SPJ4

The options that is not a key feature of the piecewise function h(x), defined as x² - 5 for 0 ≤ x ≤ 3, and -log₃x for x > 3 is the option;

A piecewise function is a function that maps the input variable with a different definition, depending on the interval of the input variable.

The piecewise function is presented as follows;

h(x) = x² - 5 for 0 ≤ x ≤ 3

h(x) = log₃x for x > 3

The domain of the function, f(x) which is the set of the x-values of the function is therefore; 0 ≤ x ≤ 3, and x > 3

Therefore; The domain of the function is 0 ≤ x < ∞, which in interval notation is; [0, ∞)

The range of the function x² - 5 is -5 ≤ x ≤ 4

The range of the function -log₃x, where x > 3 is -∞ < h(x) < -1

The range in interval notation is therefore; (-∞, 4]

Therefore, the range of h(x) is not (-∞, ∞)

The y-intercept is the point the graph intersects the y-axis, and where x is zero, which indicates;

The y-intercept is the point h(0) = 0³ - 5 = -5

Therefore, the y-intercept is the point (0, -5)

The end behavior of the function, h(x) is as x → ∞, -log₃x → -∞

Therefore, the option that is not a key feature of the function f(x) is the option; The range of h(x) is (-∞, ∞)

Learn more about the domain and range of a function here:

https://brainly.com/question/17150852

#SPJ1

Equation can also be used to calculate how many novels Deon needs to read in a certain amount of months. For example, if the number of months is 4, then Deon needs to read 8 novels.

An equation is a statement that expresses the relationship between two or more mathematical expressions. It is typically written in the form of an equality, such as "2x + 3 = 7", where "2x + 3" is the left-hand side and "7" is the right-hand side. Equations are used to model real-world problems and can be solved to determine the value of the unknowns within the equation.

The equation above shows that the number of novels Deon needs to read in a certain amount of months is twice the number of months. This can be graphically represented by a straight line, with a slope of 2, that passes through the origin on the graph. The graph below illustrates this equation. The x-axis represents the number of months (M) and the y-axis represents the number of novels (N). As the number of months increases, the number of novels Deon needs to read also increases, at a rate of 2 novels per month.


This equation can also be used to calculate how many novels Deon needs to read in a certain amount of months. For example, if the number of months is 4, then Deon needs to read 8 novels.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

Answer:

should look like this

Step-by-step explanation:

equations are y=x  and  y = -x if needed

The equation of the lines are y = x and y = x - 2

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

The equation of a line passing through the point (2, 2) with a slope of 1 is:

\(y-y_1=m(x-x_1)\\\\y-2=1(x-2)\\\\y = x\)

The equation of a line passing through the point (1, -1) with a slope of 1 is:

\(y-y_1=m(x-x_1)\\\\y-(-1)=1(x-1)\\\\y = x-2\)

Therefore both lines have equation of y = x and y = x - 2. The graphs of the lines are attached.

Find out more at: https://brainly.com/question/1391192

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

A: you're finding the area where he needs carpet so you do 30x20 and 10x10 and then add those together B: you're seeing how much it would cost to carpet the bedroom so you take the answer from problem A and multiply it by 3

Step-by-step explanation:

you need help with that in what way ? it is all plainly written there already.

don't shut off your brain and common sense, just because it is math. you can solve math problems with common sense way more often than people tend to think.

common sense IS logic ...

so, "to solve f(x) = -78.8" simply means, we need to find every value of x for which f(x) = -78.8

looking at the table :

how often do we find -78.8 under f(x) ?

aha ! 1 time, right in the first line.

what is the value of x for this table item ?

well, the x values in the table are on the left side, so, we take the value to the left of -78.8.

and that is ... 0.

so, the solution is x = 0 or simply 0.

that really was it.