Answer:
a) The relative risk is 1.8[tex]\overline{846153}[/tex]
b) The attributable risk is [tex]0.69 \overline{047619}[/tex]
c) There is a relationship between exposure and tumor risk
Step-by-step explanation:
The number of exposed rats that develop tumors, a = 42
The number of rats exposed to the carcinogen = 600 rats
The number of exposed rats that did not develop tumors, b = 600 - 42 = 558
The number of not exposed rats in the control group = 350 rats
The number of rats that develop tumors in the control group, c = 13 tumors
The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337 rats
a) The relative risk, RR = a/(a + b)/(c/(c + d))
∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8[tex]\overline{846153}[/tex]
b) The attributable risk = (a - c)/a
∴ The attributable risk = (42 - 13)/42 = [tex]0.69 \overline{047619}[/tex]
c) The odds ratio = (a·b)/(c·d)
∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35
Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk
Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete solution
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Item 13
Write an explicit rule for the recursive rule.
$a_1=16,a_n=0.5a_{n-1}$
Answer:
Step-by-step explanation:
[tex]a_{1}=16[/tex]
[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]
D. Problem Solving
11.
A paper balloon costs Php 7.50. What is the cost if I buy 6 balloons?
Solution:
12. My Auntie bought 3 kg of pork and 2.5 kg of chicken. If the pork costs Php110.50 per
chicken?
kilogram and she spent a total of Php580.00, how much did she pay for a 2.5 kg of
Solution:
13.
Item A costs Php22.50 per kilogram and item B costs Php18.25 per kilogram. Which costs less
Solution:
14. Marianne pays Php79.85 each month as membership cost to her gym. How much money does
she pay annually?
Solution:
15. Gary surveyed his classmates at the school and found out that they play sports for about 3.8
hours per week. About how many hours do his classmates spend while playing sports in a year that has 52 Weeks?
Solution
that has 52 weeks?
kg of o
Answer:
11. P7.50 x6 = P45.00
12 P580 - (P110.50 x 3) = P 580 - P 331.5 = P248.50
13. Item B costs less
14. P79.85 x12 months = P958.20
15. Given: 3.8 hours per week
52 weeks x 3.8 hours = 197.6 hours
8 1/3 33/4 8.287 8.29 order from least to greatest
Answer:
33/4 - 8.287 - 8.29 - 8 1/3
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pls can i get brainliest it took soo long to figure out
what is the sum of 6 1/2 + 2 1/3
Answer:
8 5/6
common denominator
Answer:
8 5/6
Step-by-step explanation:
PLEASE HELP!! Find the amount after 6 years if $1000 is invested at an annual rate of 4% compounded:
a) Annually
Amount - $
b) Semiannually
Amount $
c) Quarterly
Amounts
d) Monthly
Amount: $
Nicole bought a pair of shoes for
$37.93. The sales tax was $2.84. How
much money did Nicole spend on the
pair of shoes before taxes?
Answer:
$35.09
Step-by-step explanation:
37.93- 2.84= 35.09
Answer: 35.09$
Step-by-step explanation:
subtract the taxes from the total i think
Is this correspondence a function?
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which
of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
HELP FAST
I GOiNg GET HAIR LINe
SO PLS HELP WUICK
Answer:
the answer is B
Step-by-step explanation:
[tex] \frac{2}{6 } + \frac{1}{4} = [/tex]
how do we solve?
Answer:
7/12
Step-by-step explanation:
We cannot add fractions without the same denominator. 4 does not equal 6
ok
2/6 is the same as 4/12 because we multiply proportionately
we multiply the numerator and denominator by the same factor
2/6 x 2/2 = 4/12
now 1/4 is the same as 3/12 because we multiply by 3x3
(realize something we are not changing the value of the fraction. 2/2 is the same as 1 and 3/3 is also the same as 1)
now they have the same denominator
4/12 + 3/12+ = 7/12
which of these is a trinomial\
A. x+2y^2-7
B. 5xy
C. 2x-7
D. 2x^3-7y^3
how to solve 13p-6=-33
Answer:
The exact form: =- 27/13
Mixed number form = -2 1/13
Step-by-step explanation:
You move all of the terms that do not contain p to the right side and solve.
Answer:
use g00gle
Step-by-step explanation:
go to g00gle
hit the camera thing n take a picture of yo problem
If the correlation coefficient in an ordinary least squares regression = 1.00, then A. all the data points must fall exactly on a straight line with a positive slope. B. all the data points must fall exactly on a straight line with a slope that equals 1.00. C. all the data points must fall exactly on a horizontal straight line with a zero slope. D. all the data points must fall exactly on a straight line with a negative slope.
Answer: Option A is correct.
Step-by-step explanation:
The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.It lies between -1 and 1.
If the correlation coefficient in an ordinary least squares regression = 1.00.
That indicates that there is a perfect relationship between the variables.
i.e. all the data points must fall exactly on a straight line with a positive slope. .
[when r is positive, the slope of the line is positive].
i.e. option A is correct.
All the data points must fall exactly on a straight line with a positive slope. Then the correct option is A.
What is the correlation coefficient?It is a statistical concept that helps in establishing a relation between the predicted and actual value obtained in a statistical experiment. It explains the exactness of the predicted value and actual value.
If the correlation coefficient in an ordinary least squares regression = 1.00.
The correlation coefficient lies between -1 to 1.
If the correlation coefficient in an ordinary least squares regression is 1.00.
Then it indicates that there is a perfect relationship between the variables. That is all the data points must fall exactly on a straight line with a positive slope.
Thus, the correct option is A.
More about the correlation coefficient link is given below.
https://brainly.com/question/12400903
Please help me please !
Answer:
the one on the left is y=2/3x+1 and the one on the right is y=-4x+5
Step-by-step explanation:
i don't get how to do this one
PLS HELP!!! Angle 3 and Angle 8 are congruent
True or false
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
something congruent is similar in shape
A line passes through the point (-8, -7) and has a slope of 5/4
Write an equation in slope intercept form for this line
Plzzz help
Answer:
y = 5/4x + 3
Step-by-step explanation:
The Shoes cost $42
Each pack of socks costs $1.50
Martha has $53 to buy shoes and socks. If Martha buys one pair of shoes, what is the greatest number of packs of socks she can buy?
Answer:
Martha can buy 7 packs of socks.
Step-by-step explanation:
Martha has $53
Shoes = $42
Socks = $1.50 each
First subtract 42 from 53 to figure out how much is left:
⇒ $53 - $42 = $11
then divide the answer by how much each pack of socks cost:
⇒ [tex]\frac{11}{1.50}[/tex] = 7.33
next, take the whole number of the answer and multiply that by $1.50 to figure how much 7 pack of socks cost:
⇒ 7 socks x $1.50 = $10.50
subtract the answer from $11 to figure out how much remains:
⇒ $11 - $10.5 = $0.50
Answer:
She can buy 7 packs of socks
Find the
1. range
2. domain
3. intervals where the graph is positive
Answer:
i need more info on the subject like wahts the angle your putting it at
Step-by-step explanation:
How many solutions does the nonlinear system of equations graphed below have
Answer:
C. two
Step-by-step explanation:
2 points of intersection
Option C is correct, there are two solutions to the nonlinear system of equations graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear.
In this case, we have a parabola (the red figure) and a line (the blue figure).
There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.
No solution. The line will never intersect the parabola.
One solution. The line is tangent to the parabola and intersects the parabola at exactly one point.
Two solutions. The line crosses on the inside of the parabola and intersects the parabola at two points.
Hence, there are two solutions to the nonlinear system of equations graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
plz help will mark as brainliest
Answer:
X = 36 Plz mark brainliest :)
Step-by-step explanation:
This is quite easy actually. If you look on the right you see that the exterior angle next to x is 144 degrees. We know that a straight line is 180 degrees so to find x we can do 180 = x + 144.
Answer:
∠ACB = 36°
∠ABC = 60°
Step-by-step explanation:
∠ACB = 180 - 144 (Linear Pair)
therefore, x = 36°
∠ABC = x + 24°
∠ABC = 36 + 24
∠ABC = 60°
Q. A mechanic has a radiator hose that
measures 32 feet long. It needs to be cut into
pieces equaling 5 feet 3 inches. How many
whole pieces can it be cut into?
A. 4 pieces
B. 6 pieces
C. 7 pieces
D. 8 pieces
Stacia randomly chooses a number from 1 to 10. What is the probability she
chooses a number less than 4?
Answer:
The probability that she chooses a nuumber less than 4 is 30%
Step-by-step explanation:
4. According to the graph above, which of
the following best represents the number of
calories from protein a person on a 2,200-
calorie diet should consume?
A. 450
B. 550
C. 625
D. 650
Answer: B:550. You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550
The stem-and-leaf plot represents the distances, in miles, people in an office drive to work each morning.
How many people drive 20 miles or fewer to work?
Enter your answer in the box.
A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, 6, 7, 7, 8, 8, a stem value of 2 with a leaf value of 1, 4, 5, 9, and a stem value of 3 with a leaf value of 0, 5, 5, 6.
Key: 1|5 means 15
Answer:
8
Step-by-step explanation:
Rewrite the funtion of f(x)=5(x-4)^3 + 6 with y instead of x
Answer:
f(y)=5(y-4)^3 + 6
Step-by-step explanation:
Given that
f(x)=5(x-4)^3 + 6
Now we have to rewrite the above function and put y in place of x
i.e.
f(y)=5(y-4)^3 + 6
Therefore the above represent the function in y form
Hence, the same would be relevant
A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.
Answer:
Explanation:
1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.
2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.
An isosceles trapezoid is truncated isosceles triangle.
The definition of trapezoid is a quadrilateral with at least two parallel sides.
The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.
A number more than nine is more than twenty.
write as an inequality
Answer:
I think it is 20 < x > 9. But I am not completely sure.
Write the 0.5% in two other forms (fraction and percent).
Determine two pairs of polar coordinates for the point (12, 12) with 0° ≤ θ < 360°
Answer:
(12[tex]\sqrt{2}\\[/tex], 45°), (-12√2, 225°)
Step-by-step explanation:
....mhm
In full honesty though, this is the right answer