Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in non filtered and filtered cigarettes. Do the cigarette filters appear to be effective? ( Hint: the filters reduce the amount of tar ingested by the smoker)
Answers
The table including relative frequencies based on the frequency distributions is as follows:
Tar(mg) Relative frequency Relative frequency
(Nonfiltered) (Filtered)
3-8 0% 4%
9-14 0% 12%
15-20 4% 24%
21-26 0% 60%
27-32 56% 0%
33-38 28% 0%
39-44 12% 0%
Yes, the cigarette filters appear to be effective.
What are relative frequencies?
The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
Tar(mg) Frequency Relative Frequency Relative
frequency frequency
(Nonfiltered) (Filtered)
3-8 0 0% 1 4%
9-14 0 0% 3 12%
15-20 1 4% 6 24%
21-26 0 0% 15 60%
27-32 14 56% 0 0%
33-38 7 28% 0 0%
39-44 3 12% 0 0%
Hence, the cigarette filters appear to be effective because the relative frequency of the higher tar classes is greater for non filtered cigarettes.
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Related Questions
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answers
Answer:
ang hirap pag aralan mo po muna
(5-8) (1,4) m = -3
find the slope
Answers
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
What are the coordinates of the image after a dilation
with the center at the origin and a scale factor of 2?
(0, 0) (10, 0) (10,4) (0, 4)
(-2.2) (8, 2) (8.-2) (-2,-2)
(1, 1) (6, 1) (6, 3) (1, 3)
(0, 0) (0, 2) (5.0) (5,2)
Answers
Explanation:
The scale factor 2 means we multiply the coordinates of every original point by 2. A point like (-1,1) moves to (-2,2) after doing so
As another example, (4,1) moves to (8,2) after multiplying both coordinates by 2.
suppose you plunk $5000 into a one-year certificate of deposit (CD) that pays simple interest at 3% per annum. The interest you earn after one year would be $150:
Answers
Simple interest is calculated using the following formula:
Simple Interest
=
P
×
r
×
n
where:
P
=
Principal amount
r
=
Annual interest rate
n
=
Term of loan, in years
Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years
The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the value of S is
The principal amount = $ 5,000
The rate of interest R = 3 %
The time period T = 1 year
So , the Simple Interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 5000 x 3 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 150000 / 100
Simple Interest S = $ 150
Therefore , the value of S is $ 150
Hence , the simple interest for the deposit is $ 150
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Solve for x and show work need help just stuck on this one ☝
Answers
Answer:
X=11
Step-by-step explanation:
6 x 11 is 66, after adding 2 its 68. They are equal because they are vertical angles :)
Answer:
11
Step-by-step explanation:
I did:
68 - 2= 66
66 divided by 11= 6
To check my work I did:
6 * 11= 66
66 + 2= 68
Hope this helps!
3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5
Answers
Answer:
[tex]y = 2 \\ x = 1[/tex]
Step-by-step explanation:
[tex]y = 2 \\ x = 1[/tex]
3.
Which equation best describes the graph?
A. y = 2x + 3
B. y = 1/2x + 3
C. y = 1/2x – 3
D. y = 2x – 3
Answers
Answer:
Its C
Step-by-step explanation:
The y starts at negative 3 and it is going up by 1 and over 2
Hope this Helped
Answer:
C. y = 1/2x - 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
2
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
6
0
please help me with this
Answers
Answer: B
Step-by-step explanation:
The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)
Answers
Answer:
the graph of the rational function is B
Answer:
Step-by-step explanation:
B
Whats 8 2.5% of 75?Write your answer as a decimal.
Answers
7
8
Decimal =
0.875
Explanation:
The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won't stagger when you see these type of questions in exams (like the SAT).
Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.
What
=
Any variable like
x
Percent / Percentage / %
=
Divide by 100
of
=
Multiply
is
=
Put an equal to (
=
) sign
I'll give you an example through a question.
What percent of 200 is 5?
Ans: Replace English words by mathematical tools according to the rules I told you.
x
( What) /100 ( percent)
×
( of) 200
=
( is) 5
In a refined form,
x
100
×
200
=
5
Calculate x. On calculating, x comes out to be
2.5
So, 2.5 percent of 200 is 5.
Now your question is actually very simple if you follow my rules.
You want 87.5%. By the rules, % means divided by 100. So
87.5
%
=
87.5
100
and now using the same strategy, Ans:
875
1000
Disregard the next section if you know how to convert a decimal to a fraction
Section Starts
First, I'll write the decimal form. Whenever you divide by a number that is in form of 1 followed by
n
number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.
In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.
This is the answer in decimal point.
Now simultaneously, I'll teach you how to convert a decimal into a fraction.
Here, you see 2 types of "numbers". One to the left side of the decimal point and one to the right side of the decimal point.
Here, left side of decimal point is 0 and right side of decimal point is 875.
Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)
Remove the decimal point and divide the number by a number formed by 1 followed by the "digits" we obtained (i.e. 3).
So, 875/1000. Simplify this, and you get your answer.
Question 6 (2 points)
The parabola is in intercept form.
y=(x+1)(x+7)
The vertex is
Blank 1:
Blank 2:
Answers
Answer:
Blank 1: (-7,0)
Blank 2: (-1,0)
Step-by-step explanation:
Plug x=0 into the equation and solve the resulting equation y=7 for y
Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x
Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the - y = 4x + 5 y = 4x - 5 2y = 8x - 10 - 2y = 8 - 10
Answers
Step-by-step explanation:
step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.
step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.
step 3. y = 4x - 5. "no".
step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".
step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".
help please I cant figure this put
Answers
Answer:
C
Step-by-step explanation:
Because the circle is not shaded in, it doesn't count the number it's on:
So it would be a < or >.
Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.
The non-shaded circle is on 4, so your answer, x, will be:
x < 4
But the answer choices don't have this, meaning you have to simplify all of them.
The first one is:
x + 9 < 5
x < -4
x - 5 < 9
x < 14
x + 5 < 9
x < 4
x - 9 < 5
x < 14
So it would be C.
Evaluate each of the numerical expressions below.
1. 42 +9
2. (5 + 8)
PLEASE HELP ITS DO RN
Answers
Answer:
1. 51
2. 13
Step-by-step explanation:
1. 42 + 9
42 + 9 = 51
2. (5+8)
5 + 8 = 13
???
[tex]( \frac{ {2x}^{3} }{ {8y}^{ - 4} }) ^{ - 3} [/tex]
Answers
Answer:
I'm not sure
Step-by-step explanation:
Sorry
PLZZ HELP ME IM DOING A TEST RNNNN.
Answers
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
Which of the following correctly describes the product below?
A.
irrational
B.
rational
C.
a combination of both rational and irrational
D.
neither rational nor irrational
Answers
Answer:
C is the answer your looking for
Find the length of the third side. If necessary, round to the nearest tenth.
17
25
Answers
Answer:
the real answer is 48 but if you round it to the nearest tenth it's 50
Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.
C^2 = A^2 + B^2.
We already have the hypotenuse, C, because it is across from the 90 degree angle.
25^2 - 17^2 = B^2
336 = B^2
B = 18.3, and to the nearest tenth it would be 18.
The other commenter did not realize that we already had a hypotenuse.
help guys soal integral
Answers
Answer:
E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]
Step-by-step explanation:
[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]
Sara says, "If you subtract 17 from my number and multiply the difference by - 2,
the result is - 22." What is Sara's number?
Answers
Answer: 28
28 - 17 = 11
11 * -2 = -22
(x-17)/2=-22
Multiply 2 by both sides
x-17=-44
Add 17 to both sides
x=-27
x * 5 * 25 * 4 ÷ 5, if x = 813 simplified form please
Answers
Answer:
81,300
Step-by-step explanation:
You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? First
write a proportion to find the unit rate(price per one candy bar). Then use
the unit rate to to find the cost of 18 candy bars?
Answers
Answer- $7.50
Step-by-step explanation: edg
I NEED HELP PLEASEEE!!!!
Answers
Answer:
1/4
Step-by-step explanation:
You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:
1/3 * 3/4
(cross multiply)
3/12
(simplify (divide top and bottom by three))
1/4
2/3n+1/2=3/4 I need this fast pls
Answers
Answer:
n = ⅜
Step-by-step explanation:
Answer: n = 1/6
Step-by-step explanation:
2/3n + 1/2 = 3/4
-1/2 -1/2
2/3n = 1/4
multiply both sides by 2/3
n = 1/4 *2/3
n = 2/12
reduce
n = 1/6
Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.
Answers
Answer:
-120/169
Step-by-step explanation:
Sin2theta = 2sintheta costheta
Given that tan theta = -12/5
Opposite = -12
Adjacent = 5
Using Pythagoras theorem
Hyp = √(-12)²+5²
Hyp = √144+25
Hyp = √169
Hyp = 13
Cos theta = adj/hyp
Cos theta = 5/13
Sin theta = opp/hyp
Sin theta = -12/13
Substitute
Sin2theta = 2(-12/13)(5/13)
Sin2theta = -120/169
Hence sin 2theta = -120/169
Consider the polynomial function h(x) = x^6 - 3x^5 - 17x^3
What is the end behavior of the graph of h?
Choose 1 answer:
PLEASE HELP
Answers
Answer: As x -> positive infinity, h(x) -> positive infinity, and as x -> negative infinity, h(x) -> positive infinity
Step-by-step explanation:
Khan Academy!! Hope this helps :)
Television is measured by the diagonal. A 55-inch tv has an actual diagonal length of 54.8 inches. Its height is 27 inch Mr.Schlagers entertainment center is 49 inches wide will the tv fit the entertainment center?
Answers
Answer:
47.68 inches
Step-by-step explanation:
As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.
[tex]a^{2} + b^{2} = c^{2}[/tex]
where a and b are the sides of the triangle and c is the diagonal.
[tex]27^{2} + b^{2} = 54.8^{2}[/tex]
[tex]729 + b^{2} = 3,003.04[/tex]
[tex]b^{2} = 2,274.04[/tex]
[tex]b = 47.68[/tex]
Finally, we can see that the length of the TV is 47.68 inches
convert 5.70 lbs to grams and explain please help
Answers
Answer:
2585.48.
Step-by-step explanation:
The formula to convert pounds to grams is to approximately multiply 5.70 by 454, which is equal to 2585.48.
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answers
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.
Answers
Answer:
76
2 real solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/ImaginaryStep-by-step explanation:
Step 1: Define
x² - 6x - 10 = 0
Step 2: Identify Variables
Compare quadratic.
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
Step 3: Find Discriminant
Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents: 36 - 4(1)(-10)[Discriminant] Multiply: 36 + 40[Discriminant] Add: 76This tells us that our quadratic has 2 real solutions.