The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred fastfood outlet: PREFERRED FAST FOOD OUTLET Burger King McDonalds TOTAL 50 No. of Males No. of Females 20 130 100 120 TOTAL 270 150 110 140 400 0.1.1.1 What is the probablyf randomly selecting a respondent who is male and prefer Burger 01.12 What is the probably selecting a female respondent, even that the preferred fastfood out? 0.1.1.3 What is the probability of selecting a respondent who is female or who prefers McDonalds? 12) (2) Events X and Yare such that PC) = 0.20 and PCXUY) = 0.55. Given that Xand Yare independent and non-mutually taclusive, determine P(Y). Give your final answer as a percentage to two decimal places (5) 13 (2) 2.1.3.1 Helen is the manager of a Finance Department. She has fifteen (15) members of stuff working for her. She has to choose five (5) members of her staff for a research team. How many different teams can she select from the fifteen members of staff 2.1.22 There are twelve (12) teams in a basketball league. What is the probability of correctly predicting the top three teams at the end of the 3) season in the correct order?
Answers
Q1.1.1 The probability of randomly selecting a male respondent from the sample is 0.4. Q.1.1.2 The probability of randomly selecting a respondent who is female and prefers HP is 0.275. Q.1.1.3 The probability of selecting a male respondent, given that the preferred brand is Lenovo is 0.4545. Q.1.1.4 The probability of selecting a respondent who is male or who prefers HP is 0.575. Q.1.1.5 The probability of selecting a respondent who does not prefer Lenovo is 0.725.
Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?
The probability of randomly selecting a male respondent is given by the number of male respondents divided by the total number of respondents:
Probability = No. of Males / Total = 160 / 400 = 0.4
Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?
The probability of randomly selecting a respondent who is female and prefers HP is given by the number of females who prefer HP divided by the total number of respondents:
Probability = No. of Females who prefer HP / Total = 110 / 400 = 0.275
Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?
The probability of selecting a male respondent, given that the preferred brand is Lenovo, is given by the number of males who prefer Lenovo divided by the total number of respondents who prefer Lenovo:
Probability = No. of Males who prefer Lenovo / Total No. of respondents who prefer Lenovo = 50 / 110 = 0.4545
Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?
The probability of selecting a respondent who is male or who prefers HP is given by the sum of the probabilities of selecting a male respondent and selecting a respondent who prefers HP, minus the probability of selecting both (to avoid double counting):
Probability = (No. of Males / Total) + (No. of Females who prefer HP / Total) - (No. of Males who prefer HP / Total)
Probability = (160 / 400) + (110 / 400) - (40 / 400) = 0.4 + 0.275 - 0.1 = 0.575
Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?
The probability of selecting a respondent who does not prefer Lenovo is given by the number of respondents who do not prefer Lenovo divided by the total number of respondents:
Probability = (Total - No. of respondents who prefer Lenovo) / Total
Probability = (400 - 110) / 400 = 290 / 400 = 0.725
The complete question is:
The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of notebook:
HP Lenovo Dell Total
No. of Females 110 60 70 240
No. of Males 40 50 70 160
Total 150 110 140 400
Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?
Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?
Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?
Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?
Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?
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Related Questions
What is 68,500,000 written in scientific notation?
Answers
Lauren received some money as a gift for her birthday. She saved this money and since then has also saved some of her
allowance each week. The linear equation T = 5W + 25 represents the total number of dollars, T. that Lauren has
saved W weeks after her birthday.
What is the value of T when W = 0 ? What does this value represent in terms of the context? Show your work, and
explain your reasoning.
Type your answer in the box below.
Answers
The value of T when W = 0 can be found by substituting W = 0 into the given equation, T = 5W + 25. T = 5(0) + 25 T = 0 + 25 T = 25 When W = 0, the value of T is 25 dollars.
When W = 0, the equation becomes T = 5(0) + 25, which simplifies to T = 25. This means that Lauren had saved $25 on the day of her birthday (when W = 0), even before she started saving her allowance.
The value of T represents the total number of dollars that Lauren has saved W weeks after her birthday, including the initial gift and any additional allowance savings.
In this case, when W = 0, T represents the total amount of money Lauren had saved up until the day of her birthday.
The reasoning behind this is that the equation T = 5W + 25 gives us a way to calculate the total amount of money Lauren has saved based on how many weeks have passed since her birthday. When W = 0, we are asking for the total amount of money she has saved up until that point, which includes the $25 she received as a gift.
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Determine whether AB or DF are parallel, perpendicular, or neither
Answers
Answer:
Perpendicular
Find the circumference of the circle.
Use 3.14 for a.
3.5 cm
The circumference of the circle is cm.
Answers
Answer:
21.98 cm
Step-by-step explanation:
Circumference of a circle is found by using this formula:
\(\large\tt \:\:\:\:\:\:\:\:\:\:\:C=2\pi r\:\:\:\:\) or \(\:\:\:\:\:\large\tt C =\pi d\)
\(\tt C=2\pi r\)\(\tt C=2\times 3.14\times 3.5cm\)\(\tt C =2\times 10.99cm\)\(\tt C =21.98cm\)Therefore, the circumference of a circle is 21.98cm
#CarryOnLearningA recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answers
Answer:
it would b 2 in half cups of powder
Please do no fakes or you get banned!
Answers
Answer:
A
Step-by-step explanation:
They are corresponding angles because they are on the same side of the transversal, but one is an interior and one is an exterior angle.
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answers
Answer:
i think its b is it isn't dont beat me up
Choose by clicking the graph. Find Ltheta if sec theta = -13/5 and tan theta negative
Answers
The results of the two equations show that the tangent of a negative angle is always equal to its tan.
What if tan angle is negative?In trigonometric mathematics, this expression is known as the tangent of negative angle identity.Tan of negative angle identity is a mathematical relationship between the tangents of a negative and positive angle.Formulatan(-∅) = - tan∅
Proof : By using a geometrical approach in trigonometry, the mathematical relationship between the tangent of a negative angle and the tan of a positive angle is obtained.Construction of triangle with negative angle : Create the same triangle with a negative angle. As a result, QOR has a negative theta angle, represented by -∅.Write the tan of the negative angle in terms of the ratio of the lengths of the respective sides based on this information.tan (- ∅) = QR / OQ
The length of the opposite side will be yet the length of the adjacent side will be due to the building of the triangle with negative angle.=> tan (- ∅) = -y /x.
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Solve the equation 2x - 56 = 8
Answers
Solution,
2x-56=8
or,2x=8+56
or,2x=64
or,X=64/2
X=32
Hope it helps
Good luck on your assignment
Answer:
x=32
Step-by-step explanation:
First I put the 56 on the other side by doing the opposite to it, so adding 56 to both sides.
2x - 56 = 8
+56 +56
2x=64
Then divide both sides by two to single out the x and know it's value
2x=64
/2 /2
x=32
What statistical test could be used to compare the mean ages of cases and controls participating in a case-control study
Answers
There are a few different statistical tests that could be used to compare the mean ages of cases and controls in a case-control study. One commonly used test is the t-test and Mann-Whitney U test.
t-test compares the means of two groups and evaluates whether they are significantly different from one another. In this case, the two groups would be the cases and controls.
Another option is the Mann-Whitney U test. This test is used when the data is not normally distributed, which can occur when working with age data. The Mann-Whitney U test compares the medians of the two groups and assesses whether they are significantly different.Lastly, the ANOVA test could also be used to compare the mean ages of multiple groups in a case-control study. ANOVA compares the means of three or more groups and evaluates whether they are significantly different.Ultimately, the choice of statistical test will depend on the nature of the data and the specific research question being asked. It's important to choose a test that is appropriate for the data and hypothesis being tested in order to ensure accurate and meaningful results.Know more about the Mann-Whitney U test.
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what is the slope of (45,10) and (49,5)
Answers
Answer:
-1.25
Step-by-step explanation:
y=-1.25x+66.25
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours.If the main pump is started at 6 PM, when should the auxiliary pump be started so that the tanker is emptied by 9 PM,The auxiliary pump should be started at
Answers
Explanation
To solve the question, we will be aware that
There are 3 hours between 6PM and 9PM ,
The main pump's emptying rate is 1/4 tanker per hour. It will be open
the entire 3 hours, so it will empty 3/4 of the tank.
this means that the auxiliary pump must empty the remaining 1/4
Thus
\(rate\text{ in tanker per hour }\times time\text{ required=}\frac{1}{4}tank\)Thus, we will have
\(\frac{1}{4}\times3\text{ hours =45 minutes}\)Therefore
The auxiliary pump should start by 6pm + 45 minutes = 6:45pm
a house is located 6 miles north of the center of the town and is to the east of the cell tower. if the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
Answers
The house is 0 miles east of the center of the town.
To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.
Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.
Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).
Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).
Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.
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Please help me with number 4
Answers
Answer:a 1/5 b 2/5
Step-by-step explanation:Monday is they day after Sunday there for according to that it would be 1/5 and b if it’s sunny Sunday it’s 1/5 higher of a chance two days after than one day.
Hello, what is the correct answer to question 12?
9. Use this information to answer Question 9-12: Consider a step pn junction made of silicon. The doping densities in the p - and n-sides are N_{A}=5 \times 10^{15}{~cm}^{-3}
Answers
Given that the doping densities in the p - and n-sides are \(N_{A}=5×10^15 cm−3\),
The order of magnitude of the width of the depletion region in a pn junction is 10^−4 cm or 0.1 µm.Therefore, the answer to question 12 is 10^-4 cm.
This is because the formula for the depletion region width is given by:
\($$W_{d}=\sqrt{\frac{2 \varepsilon_{s}}{q} \cdot \frac{1}{N_{A}+\Delta N_{D}}\cdot\frac{V_{bi}}{V_{a}}}$$\)
Where;Wd is the width of the depletion region \(εs\) is the permittivity of the semiconductor materialq is the electronic chargeNa and N∆D are the doping concentrations in the p-type and n-type regions respectivelyVbi is the built-in potentialVa is the applied potentialFrom the formula, the width of the depletion region depends on several factors such as the doping concentration, built-in potential,
permittivity of the semiconductor material, and applied potential. In a typical pn junction, the depletion region is in the order of micrometers but since the order of magnitude of the doping concentration is 10^15 cm−3, the depletion region width is in the order of 10^−4 cm or 0.1 µm.
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a numerical measure from a population, such as a population mean, is called _____.a. a sampleb. the mean deviationc. a statisticd. a parameter
Answers
A numerical measure from a population, such as a population mean, is called a statistic. This can be answered by the concept of Standard deviation.
A statistic refers to a numerical measure that is calculated from a sample, which is a subset of a larger population. It is commonly used to estimate or describe characteristics of a population based on the information obtained from a sample. Examples of statistics include sample mean, sample standard deviation, sample proportion, etc. These measures are used to provide insights and make inferences about the population from which the sample was drawn.
Therefore, the correct answer is C. a statistic.
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Step by step please
Pls help
Answers
Answer:
n= -3
Step-by-step explanation:
The solution is attached
I’ll give brainliest please help just #9 and #12
Answers
Answer:
9) C = 6\(\pi\) units
standard form : (x + 7)² +(y + 5)² = 9²
12) C = 8√5 \(\pi\) units
standard form : (x + 3)² +(y + 2)² = ( \(\sqrt{80}\))²
Step-by-step explanation:
please help me (only correct answers)
Answers
Answer:
x > 3 or 3 < x < infinity
Step-by-step explanation:
Since the circle over 3 is "open" (not filled in), this means that the symbol we use for the inequality is simply "greater than" rather than "greater than/equal to".
Additionally, there is no point on the right side; it is an infinite arrow. This means that x is equivalent to anything above 3.
Therefore, x is greater than 3 is the correct inequality. Depending on the answer your teacher is looking for, however, it could also be 3 < x < infinity. this is because there is no visible end to the arrow.
*As I don't know what you're focusing on, I cannot tell you which answer your teacher is looking for. Base your answer off the form of the answers of the lesson you are focusing on.
Let X be the random variable designating the number of spots that turn up when a balanced die is rolled. What is the probability distribution of X
Answers
The probability distribution of the random variable X, which represents the number of spots that turn up when a balanced die is rolled, is a discrete uniform distribution.
This means that each possible outcome has an equal probability of occurring, and the probabilities are evenly distributed across the different values of X.
In a balanced die, there are six possible outcomes, corresponding to the numbers 1 through 6. Since each outcome is equally likely, the probability of each individual outcome is 1/6. Therefore, the probability distribution of X can be represented as follows:
P(X = 1) = 1/6
P(X = 2) = 1/6
P(X = 3) = 1/6
P(X = 4) = 1/6
P(X = 5) = 1/6
P(X = 6) = 1/6
In summary, the probability distribution of the random variable X, representing the number of spots that turn up when rolling a balanced die, follows a discrete uniform distribution, where each possible outcome has an equal probability of occurring, with a probability of 1/6 for each value from 1 to 6.
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how many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits?
Answers
Answer:
infinite
Step-by-step explanation:
the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite
-hope this helps-
Please hurry will give brainliest
Write the inequality in slope intercept form.
2x-3y>9
Answers
Step-by-step explanation:
2x - 3y > 9
the target as slope intercept form is
y = ax + b (or any fitting inequality sign)
so, let's transform the original inequality
2x > 3y + 9
2x - 9 > 3y
2x/3 - 3 > y
or
y < 2x/3 - 3
the slope is 2/3 (always the factor of x). the y-intercept = -3.
Which of the following is basically a promissory note, or a promise to repay a certain amount of money at some point in the future?
-Bond
-CD
-Mutual fund
-Stock
Answers
Answer:
Bond
Step-by-step explanation:
A promissory note or a promise to repay a certain amount of money at some point in the future is basically a bond.
A bond is a debt security that represents a loan made by an investor to a borrower, which is usually a corporation or government agency. It is a fixed-income investment, meaning that the borrower promises to pay a specific amount of interest over a set period of time and return the principal amount of the loan on the date of maturity. Bonds are issued for various purposes, such as raising capital, funding new projects, or refinancing debt.
CD (Certificate of Deposit) is a savings instrument issued by a bank or credit union that generally pays a fixed rate of interest over a set term. Mutual fund is an investment vehicle that pools money from multiple investors to purchase a portfolio of securities, such as stocks, bonds, or both. Stock is an ownership share in a company that represents a claim on part of the company's assets and earnings.
i need help with this
Answers
Answer: 2
Step-by-step explanation: idek
Find the value of g(4) for the function below:
g(x) = x² – 2x + 5
O 5
O 13
O 19
O 25
Answers
Answer:
O 13
Step-by-step explanation:
g(4) is asking for the function of g when x = 4
g(4) = (4)^2 - 2(4) + 5
g(4) = 16 - 8 + 5
g(4) = 13
Find two numbers whose difference is 92 and whose product is a minimum.
Answers
Step-by-step explanation:
x -y = 92 x = 92+y
xy = minumum
(92+y) * y = minumum
y^2 + 92y = minumum this quadratic has a minimum at
y = -b/2a = - 92/(2*1) = - 46
x - -46 = 92 shows x = +46 minimum is then - 2116
The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60.
A nonmember pays $0.20 per game token, but no yearly fee.
Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
y = y equals StartFraction one-half EndFraction x.x
y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60
y = y equals StartFraction 1 Over 5 EndFraction x. x
y = y equals StartFraction 1 Over 20 EndFraction x plus 60.x + 60
Answers
The equation that represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year is C. y = 1/5x
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables illustrated.
In this case, a nonmember pays $0.20 per game token, but no yearly fee.
Let the number of games be x.
Therefore, the equation that represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year is:
y = 0.2 × x
y = 1/5x
In conclusion, the correct option is C.
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The radius of a circle is 10 meters what is the area
Answers
Answer:
100π or ≈ 314.1592
Step-by-step explanation:
Area of a circle formula: A = πr²
A = π(10)²
A = π(100)
A = 100π ≈ 314.1592
Answer:
100pi
Step-by-step explanation:
pi*radius^2=area
pi*10^2=100pi
I NEED HELP ASAP!!!
Answers
Answer: 6x^2+8x
Step-by-step explanation:
first multiply outside lengths
4x(3x+2) distribute
12x^2+8x
then multiply inside lengths
2x(3x) = 6x^2
Now subtract outside-inside
12x^2+8x-6x^2
that equals 6x^2+8x
5. How much power is dissipated when 0.2 ampere of current flows through a 100-ohm resistor ?
Answers
Answer:
4 W
Step-by-step explanation:
Electrical power, P = I²R where I = current and R = resistance.
Given that I = 0.2 A and R = 100 Ω,
P = I²R
P = (0.2 A)² × 100 Ω
P = 0.04 A² × 100 Ω
P = 4 W