Answers
The probability that (all 23 are not smokers is 0.0429
P(all 23 are not smokers 0.0429
P(exactly 6 smokers) ≈ 0.1671
How to calculate the probabilitya) If 16% of the population are smokers, then the probability that an individual is not a smoker is 1-0.16=0.84.
P(all 23 are not smokers) = 0.84²³ ≈ 0.0429
b) The probability that any one individual smokes is 0.16, and the probability that any one individual does not smoke is 0.84.
P(all 23 are not smokers) = 0.84²³ ≈ 0.0429 (rounded to four decimal places).
c) Similarly, we can use the binomial distribution to find the probability of exactly 6 smokers in a sample of 23:
P(exactly 6 smokers) = (23 choose 6) * 0.16⁶ * 0.84^17 ≈ 0.1671
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Related Questions
simple interest see question
Answers
Answer:
P((1 + r)^6) = 1,675.80
P((1 + r)^5) = 1,606.50
------------------------------
b) 1 + r = 266/255, so r = 11/255 = .04 = 4%
a) P((1 + 11/255)^5) = 1,606.50
P = $1,300.69
1. In a geometry course the grade is based on the average score on six tests, each worth 100 points. W. Orrier has an average of 88.5 on his first four tests. What is the lowest average he could obtain on his next two tests and still receive an A (an average of 90 or better)?
2. Between 50 and 100 books are stored on a shelf. Exactly 20 percent of them are textbooks. Exactly one-seventh of them are novels. Can the exact number of books on the shelf now be determined? Why or why not?
Answers
The lowest average he could obtain on his next two tests and still receive an A is 93 or higher.
To receive an average of 90 or better, W. Orrier needs to score a total of 540 points or more on all six tests
(90 x 6 = 540).
He has already scored a total of 88.5 x 4 = 354 points on his first four tests.
Therefore, he needs to score a total of 540 - 354 = 186 points on his next two tests.
To find the lowest average he could obtain on his next two tests, he needs to divide 186 by 2
186 ÷ 2 = 93.
Therefore, the lowest average he could obtain on his next two tests and still receive an A is 93 or higher.
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please help. maths trigonometry
Answers
The value of 5cos(tetha) + 4/sin(beta) is 9
What are complementary angles?Complementary angles are two angles that sum up to 90°. This means that in a right angled triangle sin( beta) is thesame as cos(90-tetha) and cos (beta) is sin(90-tetha).
Examples of complementary angles include: 30 and 60, 50 and 40 e.t.c
Therefore if tan ( tetha ) = 3/4, and tan(tetha) = opp/adj. This means opp is 3 and adj is 4
therefore hyp = √3²+4²
= √9+16 = √25
= 5
therefore cos(tetha) = 4/5
and sin beta = 4/5
therefore 5cos(tetha) + 4/sin(beta) = 5 × 4/5 +(4÷4/5)
= 4+5 = 9
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32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answers
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
what is 2+2
(this is a joke answer if you want)
Answers
Answer:
22
Step-by-step explanation:
4
Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when
copying a design x times. Use the graph to write the equation modeling this relationship.
1 2 3 4 5
Enter the correct answer in the box by replacing the values of a and b.
Answers
Note that the graph of the function f(x) = a(b)^x is attached accordingly. Here a = 8 and b = 5
How is this so?f(x) = a(b^x)......1
from the graph we can see that
When x = 0, y = 8
f(0) = 8
8 = a(b^0)
8 = a x 1
a = 8
f(1) = 4
4 = a(b^1)
4 = ab
8b = 4
b = 0.5
Thus a = 8 and b = 5
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Full Question:
Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship
Enter the correct answer in the box by replacing the values of a and b.
f(x) = a(b)^x
Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks).
Graph this density curve.
Find the proportion of babies born after the 40th week of the year
Find the proportion of babies born before the 10th week of the year
Find the proportion of babies born between the 10th and 40th week of the year
Answers
The proportion of the babies born
After the 40th week of the year: 80.7%Before the 10th week of the year: 12.9%Between the 10th and 40th week of the year: 67.8%Finding the proportion of babies bornGiven that
Uniform Distribution from 1 – 53
This means that
a = 1 and b = 53
So, we have
Mean = (a + b)/2 = (1 + 53)/2 = 27
Standard deviation = √[(b – a)² / 12] = √[(53 – 1)² / 12] = 15
After the 40th week of the year
The z-score is calculated as
z = (x - mean)/Standard deviation
So, we have
z = (40 - 27)/15 = 0.8667
So, we have
Proportion = P(z > 0.8667)
Proportion = 80.7%
Before the 10th week of the year
z = (10 - 27)/15 = -1.133
So, we have
Proportion = P(z < -1.133)
Proportion = 12.9%
Between the 10th and 40th week of the year
This is calculated as
Proportion = (-1.133 < z < 0.8667)
So, we have
Proportion = 67.8%
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PLEASE HELP I WILL GIVE 20 POINTS
Data:
Record the data from each trial in the data chart below. Be sure to fill in the chart completely.
Test One
Parent 1: FF
Parent 2: Ff
Phenotype ratio:
________ : ________
short fur : long fur
Test Two
Parent 1: Ff
Parent 2: Ff
Phenotype ratio:
________ : ________
short fur : long fur
Test Three
Parent 1: ff
Parent 2: ff
Phenotype ratio:
________ : ________
short fur : long fur
Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please write in complete sentences.
Which genotype(s) and phenotype for fur length are dominant?
Which genotype(s) and phenotype for fur length are recessive?
If you have a hamster with short fur, what possible genotypes could the hamster have?
If you have a hamster with long fur, what possible genotypes could the hamster have?
Did your data support your hypotheses? Use evidence to support your answer for each test.
Test One:
Test Two:
Test Three:
Which hamsters are the parents of the mystery hamster? Include evidence to prove that they are the correct parents.
Answers
Answer:
Answer: Test One
Parent 1: FF
Parent 2: FF
Phenotype ratio:
short fur: long fur
Test Two
Parent 1: Ff
Parent 2: FF
Phenotype ratio:
short fur: long fur
Test Three
Parent l: ff
Parent 2: ff
Phenotype ratio:
short fur: long fur
Step-by-step explanation:
Answer: Test One
Parent 1: FF
Parent 2: FF
Phenotype ratio:
short fur: long fur
Test Two
Parent 1: Ff
Parent 2: FF
Phenotype ratio:
short fur: long fur
Test Three
Parent l: ff
Parent 2: ff
Phenotype ratio:
short fur: long fur
In one country, it is estimated that in the year 2050, 3% of the population will be over 70 years of age. If the
population of that country in 2050 is 180 million, how many people will be over 70 years old?
A) 3.60 million
(B) 54.00 million
C) 7.20 million
D) 5.40 million
Answers
The expected number of people over 70 years old in that country in 2050 is given as follows:
D) 5.40 million.
How to obtain the expected number of people?The expected number of people over 70 years old in that country in 2050 is obtained applying the proportions in the context of the problem.
The expected population of that country in 2050 is given as follows:
180 million.
Hence the expected population of the country over 70 years old, equivalent to a percentage of 3%, is obtained as follows:
0.03 x 180 million = 5.4 million.
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analyze the diagram below, and complete the instructions that follow
Find the unknown side length, x. Write your answer in simplest radical form.
A. 15
B. 5√10
C. 2√70
D. 4√37
Answers
The value of the length x is 2√70. Option C
How to determine the value
To determine the value of the length of the triangle, we need to consider the different trigonometric identities, they are;
sinecosinetangentcotangentsecantcosecantNow, using the Pythagorean theorem, we have;
17² = x² + 3²
Find the square values and substitute
289 = x² + 9
collect the like terms
x² = 289 - 9
Subtract the values
x² = 280
Find the square root of both sides
x = √280
Find the values
x = √4× 70
x = 2√70
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is
orange. Determine P(not blue) if the spinner is spun once. (answer in percentage please)
Answers
Answer: Therefore, the probability of not landing on blue when spinning the spinner once is 62.5%.
Step-by-step explanation: There are 8 sections on the spinner, and 3 of them are blue. Therefore, the probability of landing on blue is:
P(blue) = 3/8 = 0.375
The probability of not landing on blue is the complement of the probability of landing on blue:
P(not blue) = 1 - P(blue) = 1 - 0.375 = 0.625
To convert this probability to a percentage, we can multiply by 100:
P(not blue) = 0.625 x 100% = 62.5%
If lina takes an assignment at 4:30 and it takes her 12 minutes to complete it at what time did she finished?
Answers
Answer: 4:42
Step-by-step explanation:
4:30 + 0:12 = 4:42
What does the box represent in a box plot? Select all that apply.
Select 2 correct answer(s)
A)The lower 50% of the data
B)The upper 50% of the data
C)The median
D)The range
E) The middle 50% of the data
F) The interquartile range
Answers
The box in a box plot represents the middle 50% of the data (E) and the interquartile range (F).
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
Answers
The equivalent value of the expression is A = 12 + 6x + 6x + 6y
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 6(2 + x + x + y)
On simplifying the equation , we get
A = 6 ( 2 ) + 6x + 6x + 6y
On further simplification , we get
A = 12 + 6x + 6x + 6y
Hence , the expression is A = 12 + 6x + 6x + 6y
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The complete question is attached below :
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
if A C B, then
1) A U B = B
2) A n B = 0
3) A n B =B
Answers
If in the set A ⊂ B then the statement A U B = B
What is a set?A set is a collection of well defined items.
Since we have A ⊂ B, we want to determine which statement of the set is true. To determine that, we proceed as follows.
Given that A ⊂ B which means that A is a subset of B. which implies that all the elements of the set A are in set B, then this implies that A U B = B.Since all the elements in set A are in set B.The statement A n B = 0 is false since all elements in A are in BAlso, the statement A n B = B is false since all elements in set A are in BSo, if A ⊂ B then the statement A U B = B
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The approximate populations of Kentucky and North Dakota (as of 2019) are listed
below:
Kentucky: 4.47 × 106
North Dakota: 7.62 x 105
How many times greater was the population of Kentucky than the population of
North Dakota? Write your answer in standard notation, rounding to the nearest
tenth.
Answers
The population of Kentucky is nearly 5.9 times that of North Dakota.
How to determine How many times greater was the population of Kentucky than the population of North DakotaTo determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:
4.47 x 10^6 / 7.62 x 10^5
We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87
5.9, rounded to the closest tenth.
As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.
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Given the function g(x) = -x² − 9x + 27, determine the average rate of change
of the function over the interval -9 ≤x≤-1.
Answers
The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is 1
How to determine the rate of change?The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:
R = (f(b) - f(a))/(b - a)
Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:
g(-1) = -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35
g(-9) = -(-9)² -9*-9 + 27 = 27
Replacing that in the formula we can get the rate of change is:
R = (35 - 27)/(-1 + 9) = 8/8 = 1
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How did concepts related to thermal energy and heat transfe guide your design process
Answers
Thermal energy and heat transfer principles guide the design of efficient systems, minimizing heat loss and maximizing performance.
It is crucial to take into account a number of aspects that may impact the functionality and efficiency of systems and objects that include thermal energy and heat transmission. You would need to take into account things like the kind and quantity of heat source, the materials utilized, the insulation, and the processes employed for heat transfer, for instance.
Additionally, you would have to think about ways to increase heat transmission effectiveness and reduce heat loss. High thermal conductivity materials may be used, or the system may be designed to have more heat-transfer surface area.
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if it takes 7 plumbers 15 days to install a gas risers how many plumbers would be needed to install the same riser in 10 days, please such work!!
Answers
To install the gas riser in 10 days, a total number of 11 plumbers would be needed.
We can use the formula:
(number of workers) × (time) = (constant amount of work)
Let's let x be the number of plumbers needed to install the gas riser in 10 days. We can set up the equation:
(7 workers) × (15 days) = (x workers) × (10 days)
Simplifying the left side, we get:
105 worker-days = (x workers) × (10 days)
Dividing both sides by 10 days, we get:
10.5 workers = x
Since we can't have a fraction of a worker, we need to round up to the nearest whole number.
Therefore, we would need 11 plumbers to install the gas riser in 10 days.
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Help pretty pretty please
Answers
For all the questions the correct option is 3 units² because nor the translation not the reflection change the size.
How to find the areas of the transformations?Remember that for any shape, the transformations that change the area of the shape are dilations and contractions.
Here we start with a triangle of base B = 3 and height H = 2, then its area is:
A = 3*2/2 = 3 square units.
Now, any translation will result in a triangle of the same area.
Any reflection will result in a triangle of the same area.
Then for all the given questions, the correct option is 3 units²
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Quiz: Measures of Center and Spread
Question 1 of 10
If data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.
A. True
B. False
Answers
The given statement "If data set A has a larger standard deviation than data set B, data set A is more spread out than data set B" is true.
The standard deviation is a measure of a data set's dispersion. It tells us how far the data values are from the mean.
A larger standard deviation means that the data points are more spread out, i.e., they are farther from the mean.
Therefore, if data set A has a standard deviation that is greater than data set B, it means that the values in data set A are more spread apart.
Hence, the given statement is true.
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Find a. the mean b. the deviation from the mean for each data item: and c. the sum of the deviations in part b. 146, 153, 155, 160, 161
Answers
Answer:
a. The mean of the data set is:
(146 + 153 + 155 + 160 + 161) / 5 = 155
b. The deviation from the mean for each data item is:
146 - 155 = -9
153 - 155 = -2
155 - 155 = 0
160 - 155 = 5
161 - 155 = 6
c. The sum of the deviations from the mean is:
-9 + (-2) + 0 + 5 + 6 = 0
Note that the sum of the deviations from the mean is always zero, since the positive deviations cancel out the negative deviations.
HELP ME PLEASE ITS DUE TODAY!!! The following data shows the number of times a class of 7th graders ate breakfast over a 30-day period.
{4, 18, 22, 25, 15, 12, 22, 14, 19, 30, 24, 20, 21, 24, 29, 16, 20, 27, 24, 25}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (2 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (2 points)
Answers
Part A: Note that the best graphical representation to use for this kind of data is a Histogram.
Part B : Creating the historgram means you have to first chose the intervals for the data.
What is the reason for the choice above?When it comes to displaying the distribution of a set of continuous data, histograms offer an appropriate visualization method.
This display type divides the data into intervals and plots the number of observations that fall within each interval, hence providing frequency distribution information.
For instance, in creating a histogram for this particular dataset, one can choose intervals or bins with sizes e.g. 5 units covering a range between 0 and 30 before tabulating the count of observed variables in each bin and plotting these counts on the chart's vertical axis.
A histogram illustrates how often students ate breakfast within a 30-day timeframe. This frequency distribution features labeled axes, with the vertical axis representing "Frequency" and the horizontal axis depicting "Number of times students ate breakfast."
Each bar on the horizontal axis corresponds to an interval and shows its frequency on a scaled height basis.
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16u-5u+18=3u-14???????
Answers
Answer:
u = -4
Step-by-step explanation:
You want the solution to the equation 16u -5u +18 = 3u -14.
SimplifyThe equation can be simplified by combining like terms:
11u +18 = 3u -14
SolutionAdding (-18-3u) to both sides, we have ...
8u = -32
u = -32/8 = -4 . . . . . . divide by the coefficient of u
The solution is u = -4.
y=-2(x+3)^2-4 Explain how you know it is non-invertible.
Answers
The function is invertible and the inverse of the function is y = -3 + √[ (x + 4)/-2]
Calculating the inverse of the functionFrom the question, we have the following function that can be used in our computation:
y=-2(x+3)^2-4
Swap the variables x and y
So, we have
x = -2(y + 3)^2 - 4
Add 4 to both sides
-2(y + 3)^2 = x + 4
Divide both sides by -2
(y + 3)^2 = (x + 4)/-2
Take the square root and subtract 3 from both sides
y = -3 + √[ (x + 4)/-2]
This represents the inverse of the function
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If an a × b matrix is multiplied by a c x d matrix, what must be true in order to get an
answer?
Answers
The condition that must be true in order to get a correct answer will be that the number found in the columns of the first matrix must be equal to the numbers in the rows of the second matrix.
What is a matrix?A matrix is a rectangular arrangement of numbers that can be used to demonstrate mathematical properties. Often, two or three matrices can be evaluated to determine an outcome.
For the given matrices, a × b and c x d the only way to arrive at a correct answer will be if the figures found in the columns of the first matrix equal the figures found in the rows of the second matrix.
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18 plus what equals 54
Answers
Answer:
Step-by-step explanation:
54 - 18 = 36
so...
18 + 36 = 54
Divide using polynomial long division.
(5x4−2x3−7x2−39)÷(x2+2x−4)=
Answers
The polynomial long division of (5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4) gives a quotient of 5x^2 - 12x + 37
Dividing using polynomial long divisionFrom the question, we have the following parameters that can be used in our computation:
(5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4)
Using the polynomial long division setup, we have
x^2 + 2x − 4 | 5x^4 − 2x^3 − 7x^2 − 39
Evaluating the division, we have
5x^2 - 12x + 37
x^2 + 2x − 4 | 5x^4 − 2x^3 − 7x^2 − 39
5x^4 + 10x^3 - 20x^2
---------------------------------------
-12x^3 + 13x^2 - 39
-12x^3 - 24x^2 - 48
---------------------------------------
37x^2 + 9
37x^2 + 74x - 148
---------------------------------------
-74x + 157
Hence, the quotient is 5x^2 - 12x + 37
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Explain how decimal place value is like place value with whole numbers. Use pictures or words to explain your thinking.
Answers
The Explanation of decimal place value is like place value with whole numbers is shown below.
We know,
Each place value to the left of a whole number is multiplied by ten, but a place value to the right of a decimal number is divided by ten.
For example,
We take whole number 254 where place values are
2- Hundred, 5- Tens and 4- Ones
and, take the decimal 2.369 where the place values are
3- Tenth, 6- hundredth and 9- thousandth
So, both decimal and whole number have similar concept of place value but one is multiplied by 10 and other is divided by 10.
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17. What is the name of the shape Kimberly forms by connecting the points? Be as specific as possible.
Answers
The name of the shape Kimberly forms by connecting the points is a plane shape
The name of the shape Kimberly forms by connecting the points?From the question, we have the following parameters that can be used in our computation:
A shape is formed by connecting points
As a general rule; shapes formed by connecting points are referred to as plane shapes, and examples of them are:
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