A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results.
Annual income vs. age group
Less than
$
50
,
000
$50,000dollar sign, 50, comma, 000 At least
$
50
,
000
$50,000dollar sign, 50, comma, 000 Total
Ages
44
4444 and under
148
148148
68
6868
216
216216
Ages
45
4545 and above
38
3838
94
9494
132
132132
Total
186
186186
162
162162
348
348348
Which of the following statements is true of those polled?
Answers
According to the information, we can infer that the correct sentences about the graph is A person with annual income of at least $50,000 is more likely to be 45 years old or above.
How to find the correct sentence?To find the correct sentence we have to analyze the information of the graph and read the options. Once we make this procedure, we can compare each sentence with the information of the graph to establish the correct one.
According to the information the correct option would be A person with annual income of at least $50,000 is more likely to be 45 years old or above (option C).
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Related Questions
Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six
Answers
Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.
What is an expression?Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.
Here,
The mathematical expression is expressed as follows:
=> 42 / 7 + (3 / 6)
We can use the division operations to make the expression simpler:
=> 7 /42 = 6
=> 6 / 3 = 0.5.
The statement is thus more easily expressed as follows
=> 6 + 0.5
When we add the two numbers, we get:
=> 6.5
Therefore, 6.5 is the abbreviated numerical expression.
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please help studying my next grade:
12+6÷(82-33)x66
Answers
Answer:
3246
Step-by-step explanation:
To calculate this equation, we need to follow the order of operations, also known as PEMDAS. First, we evaluate anything inside parentheses, which in this case is (82-33), giving us 49. Next, we perform division, so we have 6 ÷ 49. Then, we multiply 49 and 66, resulting in 3234. Finally, we add 12 to 3234, leading to the final answer of 3246. Therefore, the value of the expression 12+6÷(82-33)x66 is 3246.
Answer:
3246
Step-by-step explanation:
Ahmad received a $1100 bonus. He decided to invest it in a 2-year certificate of deposit (CD) with an annual interest rate of 1.14% compounded daily.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the
list of financial formulas. Assume there are 365 days in each year.
(a) Assuming no withdrawals are made, how much money is in Ahmad's
account after 2 years?
(b) How much interest is earned on Ahmad's investment after 2 years?
Answers
The interest that have been earned after two years is $25.
What is the compound interest?A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.
We know that by the compound interest formula;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
n = Number of times compounded
t = time
Thus;
A = 1100(1 + 0.0114/365)^365* 2
A = $ 1125
Thus the interest after two years is;
$ 1125 - $1100
= $25
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The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
a) What is the probability that an American chosen at random died as a passenger car occupant last year?
Give your answer as a fraction or decimal. If decimal, make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 1. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
b) What is the probability that you died as a passenger car occupant last year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 2. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
c) What is the probability that you will die as a passenger car occupant next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 3. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
d) What is the probability that an American chosen at random will die as the result of a tornado next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
LicenseQuestion 4. Points possible: 2
Unlimited attempts.
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions, assume these values are not changing from year to year, and that the population of the United States is 312 million people.
Cause Deaths
Passenger car occupant 13,100
Motorcycle driver 4,500
Tornado 553
Skydiving 56
e) What is the probability that you will die as the result of a tornado next year?
Make sure your answer is accurate to at least 2 significant figures (values after leading zeros)
Answers
a) The probability that an American chosen at random died as a passenger car occupant last year is 0.0042.
b) The probability that you died as a passenger car occupant last year is 0.0042
c) The probability that you will die as a passenger car occupant next year P(C) is 0.0042.
d) The probability that an American chosen at random will die as the result of a tornado next year is 0.0000018
e) The probability that you will die as the result of a tornado next year is 0.0000018
What are the probabilities?The given probabilities are determined as follows:
The probability that an American chosen at random died as a passenger car occupant last year is:
P(A) = 13,100 / 312,000,000
P(A) = 0.0042
b) The probability that you died as a passenger car occupant last year is:
P(B) = 13,100 / 312,000,000
P(B) = 0.0042
c) The probability that you will die as a passenger car occupant next year P(C) would be 0.0042 since the values do not change.
d) The probability that an American chosen at random will die as the result of a tornado next year is:
P(D) = 553 / 312,000,000
P(D) = 0.0000018
e) The probability that you will die as the result of a tornado next year, P(E) = 0.0000018
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I need help pleaseeee
Answers
The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
Reducing matricesFrom the question, we are to perform the given row operation on the given matrix
The given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right][/tex]
The operation we are to carry out is:
Add -4(row 1) to row 3
This essentially means we should multiply the first row (row 1) by -4. Then, we will add each of the elements from the results to the corresponding elements on the third row
Multiplying by -4
-4 × [ 1 2 1 | -5
-4 -8 -4 | 20
Now, we will add the result from the multiplication to the corresponding elements in row 3
4 -1 6 | -8
+ -4 -8 -4 | 20
------------------------
0 -9 2 | 12
Hence,
The resulting matrix becomes
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answers
Answer: The height of the cone is [tex]12 \text{ units}.[/tex]
Step-by-step explanation:
We are given that [tex]L = \pi r \sqrt{r^2+h^2}.[/tex] Plugging in the given values of [tex]L[/tex] and [tex]r[/tex] yields:
[tex]65 \pi = 5 \pi \sqrt{25+h^2} \implies 13 = \sqrt{25+h^2}.[/tex]
Now, squaring each side of the equation, and then isolating [tex]h^2[/tex] gives us [tex]h^2=144[/tex], so [tex]\boxed{h=12}.[/tex] Note that [tex]h[/tex] cannot take any negative values because it is a side length.
CHED V11.1 A Select Class
babilities
What is the probability that either event will occur?
15
A
12
B
18
21
P(A or B)=P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
Answers
The probability that either event will occur is 0.68
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
The Venn diagram
On the Venn diagram, we have
Total = 15 + 12 + 18 + 12 - 12 + 21
Evaluate
Total = 66
This means that
P(A) = (15 + 12)/66
P(A) = 27/66
Also, we have
P(B) = (18 + 12)/66
P(B) = 30/66
Using the formula of the OR rule of probability:
P(A or B)=P(A) + P(B) - P(A and B)
Substitute the known values in the above equation, so, we have the following representation
P(A or B) = 27/66 + 30/66 - 12/66
Evaluate
P(A or B) = 45/66
This gives
P(A or B) = 0.68
Hence, the solution is 0.68
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What is the area of the regular pentagon?
Answers
Answer:300
Step-by-step explanation:
We can find the answer the simple way.
There are 10 triangles in a regular pentagon
We used pythagorean theorm to find side b, 12
12*5*0.5 is 30
30*10 is 300
If 2-1=3 3-4=7 4-9=13 5-16=21 3-81=0 6-25=?
Answers
The result of (6 - 25) = (6² - √25) = (36 - 5) = 31
What is a sequence of series?A sequence is a list of numbers arranged in a specific order, while a series is the sum of the terms of a sequence. In other words, a sequence is a collection of numbers that follow a particular pattern or rule, and a series is the result obtained by adding these numbers together.
The sequence of equations, it appears that each result is obtained by subtracting the square of first number to the square root of second number:
2 - 1 = 2² - √1 = 4 - 1 = 3
3 - 4 = 3² - √4 = 9 - 2 = 7
4 - 9 = 4² - √9 = 16 - 3 = 13
5 - 16 = 5² - √16 = 25 - 4 = 21
3 - 81 = 3² - √81 = 9 - 9 = 0
Similarly,
6 - 25 = 6² - √25 = 36 - 5 = 31
Therefore, the result of 6 - 25 = 6² - √25 = 36 - 5 = 31
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Please help I’m really bad at this
Answers
Answer:
the first one
Step-by-step explanation:
you move N to the left of the equation,
and then K to the right of the equation.
voila.
How are the lines below related
Answers
Answer:two lines are parallel if their slopes are equal and they have different y-intercepts
Step-by-step explanation:
regular priced at $85 on sale for 75%
off regular price
Answers
Answer: $21.25
Step-by-step explanation:
This can be solved using the following formula:
discount = (discount rate) x (regular price) sale price = regular price - discountPlugging in the values you provided:discount = (0.75) x (85) discount = 63.75sale price = 85 - 63.75 sale price = 21.25
Therefore, the sale price of the item is $21.25.
100 Points! Algebra question. Find each value if f(x)=5/x+2and g(x)=-2x+3. Only looking for an answer to question B. Please show as much work as possible. Photo attached. Thank you!
Answers
Therefore, the value of f(m-2) is 5/(m-2) + 2, and the value of function g(1/2) is 2.
What is function?In mathematics, a function is a rule or correspondence between two sets, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). A function is often represented by a formula, equation, or graph.
Here,
1. To find f(m-2), we substitute (m-2) for x in the expression for f(x):
f(m-2) = 5/(m-2) + 2
So the value of f(m-2) is 5/(m-2) + 2.
2. To find g(1/2), we substitute 1/2 for x in the expression for g(x):
g(1/2) = -2(1/2) + 3
So the value of g(1/2) is -1 + 3, which simplifies to 2.
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The park near Henry's house is closed before school, so he cannot ride through the park on his way to school. Complete the sentence to show which routes Henry should take to ride the least possible distance. Henry should take it on the way to school and on the way home from school. Using the routes selected in Part A, what is the total distance, in yards, that Henry will ride each day? If necessary, round the distance to the nearest hundredth. yards?
Answers
part a:
Henry should take a route that bypasses the park on the way to school and on the way home from school in order to ride the least possible distance.
He should take Route C on his way to school and Route B on his back.
part b: no values were given to calculate the distance.
What is distance?Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are.
Since the park near Henry's house is closed before school, so he cannot ride through the park on his way to school, he should take Route C on his way to school and Route B on his back.
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Achieve $4,000 in three years at 4.5% simple interest.
Answers
In order to achieve $4,000 in three years at 4.5% simple interest, the principal must be equal to $29,629.63.
How to calculate the simple interest and future value?In Mathematics, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P is the principal or starting amount.R is the interest rate.A is the future value.T represents the time measured in years.By substituting the given parameters into the simple interest formula, we have;
4,000 = P × 4.5/100 × 3
4,000 = P × 0.045 × 3
4,000 = 0.135P
Principal, P = 4,000/0.135.
Principal, P = $29,629.63
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Find the GCF (Greatest common factor) for the following polynomial equation 24x ^ 9 + 21x ^ 6 = 0
Answers
The general common factor (GCF) of the polynomial equation [tex]24x^9 + 21x^6 = 0[/tex] is 3x6, which, after factoring, is the common factor of the coefficients and the terms enclosed in brackets.
We must factor out the common terms from both the coefficients and the exponents in order to determine the GCF (Greatest Common Factor) for the polynomial equation 24x9 + 21x6 = 0.
The first step is to determine the coefficients' common factor, which is 3. The equation can be changed to read:
3(8x^9 + 7x^6) = 0
We now need to determine which term the parenthesized terms have in common the most. Since x is raised to a power in both terms, we may factor out x^6 to obtain:
3x^6(8x^3 + 7) = 0
The greatest common factor of the polynomial equation 24x^9 + 21x^6 = 0 is 3x^6.
We can verify this by dividing both terms in the equation by 3x^6. Doing so gives us:
(8x^3 + 7) = 0
This equation has no common factors, and we cannot factor it further. Thus, the GCF of the original polynomial equation 24x^9 + 21x^6 = 0 is 3x^6
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in buying ground beef for hamburgers, there are several packages from which to choose, as shown in the table below. If johannes needs 5 pounds of beef for his barbeque, what will he pay?
Answers
Johannes will need to pay $8.61 for 5 pounds of ground beef
What is the cost of the beef?Since Johannes needs 5 pounds of ground beef, and the available pounds are 1.5, 2, 3, and 3.75 pounds.
To reduce the cost, he need to select the package with the lowest cost per pound.
The cost per pound for each package is:
Package 1: $5.58 / 1.5
= $3.72 per pound
Package 2: $7.44 / 2
= $3.72 per pound
Package 3: $1.16 / 3
= $0.39 per pound
Package 4: $13.95 / 3.75
= $3.72 per pound
Therefore, the package with the lowest cost per pound is Package 3 and package 2 which will give us 5 pounds
So he can do it as:
$1.16 + $7.44
= $8.6
Or
(1 package of 3 pounds x $0.39 per pound) + (1 package of 2 pounds x $3.72 per pound)
= $1.17 + $7.44
= $8.61
Therefore, Johannes will need to pay $8.61 for 5 pounds of ground beef.
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Use synthetic division to divide.
(x^3-12x^2+15x+7)/(x+4)
Answers
The synthetic division of (x³ - 12x² + 15x + 7) / (x +4) gives Quotient
x² + 8x -17.
We have to divide.
(x³ - 12x² + 15x + 7) / (x +4)
Now, performing the division we get
(x + 4) | x³ - 12x² + 15x + 7 | x² + 8x -17
x³ - 4x²
________
8x² + 15x
8x² + 32x
___________
-17x + 7
-17x -68
__________
61
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1) Calculate the area of this triangle. (if h = 4m; b = 7m)
A.
B.
C.
n
28cm
14cm2
28cm2
b
Answers
Answer:
B
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 7 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = [tex]\frac{1}{2}[/tex] × 28 = 14 cm²
x^2 + 7y + 12 = ?
x = -1 y = 4
Answers
(-1)^2 + 7(4) + 12 = 1 + 28 + 12 = 41
Therefore, x^2 + 7y + 12 is equal to 41 when x=-1 and y=4.
The value of the expression when x = -1 and y = 4 is 41.
Evaluating the expression [tex]x^2[/tex]+7y+12 when x = -1 and y = 4, we get:
[tex]x^2[/tex]+7y+12 = [tex](-1)^2[/tex] + 7(4) + 12 = 1 + 28 + 12 = 41
Therefore, the value of the expression when x = -1 and y = 4 is 41.
Here is the step-by-step solution:
Substitute x = -1 and y = 4 into the expression.
Evaluate the exponent.
Multiply 7 by 4.
Add 1, 28, and 12.
The answer is 41.
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Help me plssssss I’ll give brainly
Answers
The logarithmic form of the equation (1/7)³ = 1/343 is given as follows:
[tex]\log_3{\left(\frac{1}{343}\right)} = \frac{1}{7}[/tex]
How to represent a logarithm?A logarithm is a mathematical function that represents the power to which a given base must be raised in order to obtain a given number. Logarithms are often used to simplify calculations involving very large or very small numbers.
In this problem, we raise 1/7 to the third power to obtain the number 1/343, hence the logarithm of base 3 of the number 1/343 is of 1/7, and then the expression is given as follows:
[tex]\log_3{\left(\frac{1}{343}\right)} = \frac{1}{7}[/tex]
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Find the range of the list of values. 3, 16, 22, 25, 24, 23, 16, 16
Answers
Answer:
range = 22
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest value = 25 , smallest value = 3
range = 25 - 3 = 22
PLEASE HELP ASAP
The table shows values for functions f(x) and g(x).
x f(x) g(x)
1 7 7
3 10 3
5 0 5
7 5 0
9 5 5
11 7 11
Which answers are solutions to the equation f(x)=g(x)?
Select each correct answer.
Responses
1
3
5
9
10
Answers
Answer:
955 11 7 11
3101 thats my answer
Step-by-step explanation:
10 and 3 thank you
Due tonight at 11 please help
Answers
Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.
Explain about the solid cylinder:Objects in three dimensions are represented by solid shapes. Search the area! Solid shapes include any other three-dimensional object, such as a laptop, phone, ice cream cone, balls, etc.
On a three-dimensional plane, a cylinder is a solid shape. It maintains a set spacing between two circular, parallel bases that are connected by a curved surface (like a tube).
Given that:
volume of cylinder V = 502 cu. ftRadius r = 4 ftThe formula for the volume of cylinder V:
V = πr²h
Put the values:
502 = 3.14*4²*h
502 = 3.14*16*h
h = 502 / 50.2
h = 10 ft
Thus, the height of the cylinder for the given volume and radius is found to be 10 ft.
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Complete question:
Find the missing dimension of the given solid.
The figure is attached.
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Answers
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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How do you Fractions and simplest
Answers
The procedure to simplify fractions is presented in this answer.
How to simplify fractions?The steps to simplify a fraction are given as follows:
Find the GCF of the numerator and denominator.Divide both the numerator and denominator by the GCF.Write the simplified fraction.For example, let's say we want to simplify the fraction 12/24:
Find the GCF of 12 and 24, which is 12.Divide both the numerator and denominator by 12: 12/12 = 1 and 24/12 = 2.The simplified fraction is 1/2.Another example, let's say we want to simplify the fraction 16/20:
Find the GCF of 16 and 20, which is 4.Divide both the numerator and denominator by 4: 16/4 = 4 and 20/4 = 5.The simplified fraction is 4/5.Note that a fraction is in its simplest form when its numerator and denominator have no common factors other than 1.
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Use a system of two equations in two variables, and d, to write a formula for the general term (the nth term) of the arithmetic sequence whose fourth term, a4, is 10 and whose sixth term, a6, is 18.
Answers
The formula for the nth term of the arithmetic sequence is an = 4n + 2
How to write a formula for the general term (the nth term) of the arithmetic sequence?Let d be the common difference of the arithmetic sequence, and let a1 be the first term. Then we have:
a4 = a1 + 3d = 10
a6 = a1 + 5d = 18
We can solve this system of equations to find a1 and d. Subtracting the first equation from the second, we get:
2d = 8
d = 4
Substituting this into either of the original equations, we get:
a1 + 12 = 18
a1 = 6.
So the arithmetic sequence is:
6, 10, 14, 18, ...
To find the nth term of this sequence, we can use the formula:
an = a1 + (n - 1)d
Substituting in the values of a1 and d, we get:
an = 6 + 4(n - 1)
Simplifying, we get:
an = 4n + 2
Therefore, the formula for the nth term of the arithmetic sequence whose fourth term is 10 and sixth term is 18 is:
an = 4n + 2
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what is the simplified answer to 49^{1/2}
Answers
Answer:
7
Step-by-step explanation:
in the figure below lines m and n are parallel m2= 62 and m3=73
Answers
Answer: 135
Step-by-step explanation:
Need help on this question please! I don’t understand :,(
Answers
The area of a parallelogram with base of 10 inches and height of 5 inches is 50 in²
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
The area of a parallelogram is the product of its base and height. It is given as:
Area = base * height
For a parallelogram with base of 10 in and height of 5 in:
Area = base * height
Area = 10 in * 5 in = 50 in²
The area is 50 in²
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