13. A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 10 percent I and II: 8 percent I and II and III: 1 percent II: 30 percent I and III: 2 percent III: 5 percent II and III: 4 percent (The list tells us, for instance, that 8000 people read newspapers I and II.) Find the number of people who read only one newspaper. How many people read at least two newspapers
Answers
Answer:
a) the number of people who read only one newspaper is 20,000
b) number of people read at least two newspapers is 12,000
Step-by-step explanation:
Given the data in the question;
A certain town with a population of 100,000 has 3 newspapers
a)Find the number of people who read only one newspaper
From the Venn-diagram illustrating the data in the question;
Number of that read only one paper will be;
=[ ([tex]I^{}[/tex]∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= [ 1% + 19% + 0% ] × 100,00
= 20% × 100,000
= 20,000
Therefore, the number of people who read only one newspaper is 20,000
b) How many people read at least two newspapers;
Number of people read at least two newspapers will be;
= [ ([tex]I^{}[/tex]∩ [tex]II^{}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= ( 7% + 1 % + 3% + 1% ) 100,000
= 12% × 100,000
= 12,000
Therefore, number of people read at least two newspapers is 12,000
Related Questions
Select all the logarithmic expressions that have been evaluated correctly, to the nearest thousandth.
Answers
The logarithmic expressions are log6 with base 3 and log5 with base 4.
What is logarithmic function?
It is the inverse of the exponential functions. It is equal to y=㏒x.
How to solve logarithmic functions?
A) log 8 with base 3=log8/log3=0.903089987/0.4771212547=1.8927
B) log 6 with base 3=log6/log3= 0.77815125038/0.4771212547=1.6309
C) log 5 with base 4=log5/log4=0.69897000433/0.60205999132=1.1609
D) log 32 with base 2=log32/log2=1.50514997832/0.30102999566=5
E) log 7 with base 4=log 7/ log 4=
=0.84509804001/0.60205999132=1.403
Hence the required logarithmic expressions be on B and C.
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1/2x -5-1/3y when x =48 and y=15
Answers
can you guys please help me
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3
Answers
Answer:
[tex]Unit = 2\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bags = 8[/tex]
[tex]Bowls = 3[/tex]
Required
Determine the amount in each bowl
This implies that we calculate the unit measurement. This is calculated using:
[tex]Unit = \frac{Bags}{Bowls}[/tex]
[tex]Unit = \frac{8}{3}[/tex]
[tex]Unit = 2\frac{2}{3}[/tex]
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answers
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
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Please help don’t guess pick answer in the bottom please I’m begging you I need this grade!!! 40pts!!!
Answers
Answer:
1) x/4 < 4 ⇒ x < 4*4 ⇒ x< 16
x = 4, 8, 122) x + 3 ≥ 15 ⇒ x ≥ 12
x = 123) 19 > x + 4 ⇒ 15 > x ⇒ x < 15
x = 4, 144) 12 ≥ 6x ⇒ 2 ≥ x ⇒ x ≤ 2
x = 1, 25) 7x ≤ 21 ⇒ x ≤ 3
x = 1, 2, 36) 5 + x < 7 ⇒ x< 2
x = 17) x - 5 < 17 ⇒ x < 22
x = 9, 14, 158) 3x ≥ 18 ⇒ x ≥ 6
x = 6, 119) 20 > x + 9 ⇒ 11 > x ⇒ x < 11
x = 4, 8if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
Answers
500 divided by 3 is 15. 15 times 5 is $75
I need help bad!!!!!!! Question: Angle ABC and angle DEF are supplementary. If
Answers
Answer:
Angle ABC and angle DEF are supplementary if and only if they add up to 180 degrees
17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe
Answers
Answer:
D All positive integers are rational numbers.
Step-by-step explanation:
Integers are rational numbers
What is the quotient of 6.16 divided
by 1.1?
Answers
Answer:
5.6
Step-by-step explanation:
pls help
Which graph represents a linear function?
Answers
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
What is the fraction equivalent of 2.151515?
Answers
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answers
Answer:
c
Step-by-step explanation:
Help? I cannot get my head around it.
Answers
Answer:
60cm³
Step-by-step explanation:
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answers
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Evaluate the expression 4x+3-x for
x=8
PLEASE HELP ME!
Answers
Answer:
x + 3 =8 x 4 =32 so your answer is 32 sorry for he wait
Step-by-step explanation:
x =5
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answers
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
3
Which is the best estimate for the percent equivalent to 3/8
000
26%
27%
37%
38%
Answers
The Answer is C
Also 37%
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
Answers
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of
acres, a, and the bushels of corn, c, the farm produces
Which equation models the relationship between the independent and dependent variables?
A) a=45c
B) c=45a
C) a=45+c
D) c=45+a
Answers
Answer:
i need the answer too
Step-by-step explanation:
Define/explain the Pythagorean theorem.
Answers
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
PLEASE HELPP! WORTH 21 POINTS AND I WILL MARK BRAINLIEST!!!
Answers
Answer:
8 pizz an chick 6
Step-by-step explanation:
Consider the system of equations shown in the box.
y = 3x + 1
y = 2x - 4
What is the x-coordinate in the solution of the system?
Answers
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
The x-coordinate in the solution of the system is -5.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Given the equations y = 3x + 1
y = 2x - 4
comparing both equations for equal values of y,
3x + 1 = 2x - 4
3x - 2x = -4 - 1
x = -5
substitute value of x in equation,
and y = 3x + 1
y = 3(-5) + 1
y = -14
Hence the value of x is -5.
Learn more about linear equations;
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The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?
Answers
Answer:
Length is 45cm and Breadth is 33cm
Step-by-step explanation:
Perimeter = 156cm
Let the length be x
Breadth = x-12
Perimter = 2(l+b)
156 = 2(x-12+x)
156 = 2(2x-12)
156 = 4x-24
156+25 = 4x
180 = 4x
180÷4 = x
45 = x
Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm
OUR EQUATIONS
LENGTH = x
BREADTH = x-12
PLZ MARK ME AS BRAINLIEST★
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answers
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
If brownies are $1.80 each how much is that for 10 brownies
Answers
Answer:
18 just move the decimal because there is one zero
What is the total area? Use 3 for Pi.
answer fast pls! xx
Answers
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
I need help thank you
Answers
Answer:
Maybe three
Step-by-step explanation:
Im not sure
What is the slope of the line
Answers
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
It is not possible to divide 5 by 0 because there is no number you can___ by 0 and get 5 .
Answers
Answer:
multiply
Step-by-step explanation:
Answer:
Yes, it's not possible to divide a number by 0.