Each person received 1/4 of the sandwich.
Simply divide 1 by 4 and you will get 0.25, either leave it in decimal form or convert it into fraction which is 1/4 because if you multiply 25 by 4 you will receive 1.
Here is the two-way table and the marginal frequencies in bracket:
Like hamburger do not like hamburger Total
Like hot dog 46(0.16) 54 (0.10) 100(0.36)
Do not like hot dog 83(0.30) 95 (0.34) 178(0.64)
Total 129 (0.46) 149 (0.54) 278(1)
<h3>What is the two-way table?</h3>
Number of people who like hamburger but do not like hot dog = 129 - 46 = 83
Number of people who do not like hamburger and do not like hot dog = 149 - 54 = 95
Total number of people who like hot dog = 46 + 54 = 100
Total number of people who do not like hot dog = 83 + 95 = 178
Total = 100 + 178 = 278
The marginal frequency can be determined by dividing each number by the total number of people in the survey.
- marginal frequency of people who like hot dog = 100 / 278 = 0.36
- marginal frequency of people who do not like hot dog = 178 / 278 = 0.64
To learn more about two way frequency tables, please check: brainly.com/question/27344444
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For the answer to the question above,
<span>r = 1 + cos θ
x = r cos θ
x = ( 1 + cos θ) cos θ
x = cos θ + cos^2 θ
dx/dθ = -sin θ + 2 cos θ (-sin θ)
dx/dθ = -sin θ - 2 cos θ sin θ
y = r sin θ
y = (1 + cos θ) sin θ
y = sin θ + cos θ sin θ
dy/dθ = cos θ - sin^2 θ + cos^2 θ
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - sin^2 θ + cos^2 θ)/ (-sin θ - 2 cos θ sin θ)
For horizontal tangent line, dy/dθ = 0
cos θ - sin^2 θ + cos^2 θ = 0
cos θ - (1-cos^2 θ) + cos^2 θ = 0
cos θ -1 + 2 cos^2 θ = 0
2 cos^2 θ + cos θ -1 = 0
Let y = cos θ
2y^2+y-1=0
2y^2+2y-y-1=0
2y(y+1)-1(y+1)=0
(y+1)(2y-1)=0
y=-1
y=1/2
cos θ =-1
θ = π
cos θ =1/2
θ = π/3 , 5π/3
θ = π/3 , π, 5π/3
when θ = π/3, r = 3/2
when θ = π, r = 0
when θ = 5π/3 , r = 3/2
(3/2, π/3) and (3/2, 5π/3) give horizontal tangent lines
</span>---------------------------------------------------------------------------------
For horizontal tangent line, dx/dθ = 0
<span>-sin θ - 2 cos θ sin θ = 0 </span>
<span>-sin θ (1+ 2 cos θ ) = 0 </span>
<span>sin θ = 0 </span>
<span>θ = 0, π </span>
<span>(1+ 2 cos θ ) =0 </span>
<span>cos θ =-1/2 </span>
<span>θ = 2π/3 </span>
<span>θ = 4π/3 </span>
<span>θ = 0, 2π/3 ,π, 4π/3 </span>
<span>when θ = 0, r=2 </span>
<span>when θ = 2π/3, r=1/2 </span>
<span>when θ = π, r=0 </span>
<span>when θ = 4π/3 , r=1/2 </span>
<span>(2,0) , (1/2, 2π/3) , (0, π), (1/2, 4π/3) </span>
<span>At (2,0) there is a vertical tangent line</span>
Answer:
The cheerios are more expensive per ounce
Step-by-step explanation:
6. 22 ounce box of Cheerios cost $2.79---$0.45
A 32 ounce box of Wheaties cost $3.50----$0.11
2.79/6.22 =0.45
3.50/32 = 0.11
Answer:
I believe so
Step-by-step explanation:
