Answer:
The second test result will be lower and more sensitive to changes than the first test result and it will better test the efficacy of the PSA screening test
Step-by-step explanation:
The evaluation the epidemiologist are planning = Prostrate Specific Antigen, PSA, screening test
The given difference between the first and second study = The age range of the study group
The age range of the first study = 60 to 75 years
The age range of the second study = 44 to 59
The prevalence of prostrate cancer in men 44 to 59 years of age < The prevalence of prostrate cancer in men 60 to 75 years of age
Therefore, due to the low prevalence, the result of the second test will be more sensitive than the result of the first test.
Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.
Answer:
10 girls
11 boys
Step-by-step explanation:
set up a system of equations:
b represents boys, g represents girls
b+g=21 (since there is a total of 21 students)
11b+13g=251 (since each boy has 11 pockets, each girl has 13, total of 251)
i chose the method of substitution, so i solved the first equation to get
b=21-g
then i substitute 21-g for b in the second equation, and solve:
11(21-g)+13g=251
231-11g+13g=251
2g+231=251
2g=20
g=10
then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)
b+g=21
b+10=21
b=11
so there are 10 girls and 11 boys in this class
There are 10 girls and 11 boys in the class.
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
What is system of equations?"It is a finite set of equations for which we find a common solution."
For given example,
Let 'x' be the number of girls and 'y' be the number of boys.
Each boy in a class has 11 pockets and each girl in the class has 13 pockets.
And in this class if all 21 students have a total of 251 pockets.
So, we have system of equations,
⇒ x + y =21 .......................(1)
⇒ 13x + 11y = 251 .......................(2)
From equation (1),
x = 21 - y ......................(3)
Substitute this value of 'x' in the equation (2),
⇒ 13(21 - y) + 11y = 251
⇒ 273 - 13y + 11y = 251
⇒ 273 -2y - 273 = 251 - 273
⇒ -2y = -22
⇒ y = -22 / -2
⇒ y = 11
This means, there are 11 boys in the class.
Substitute the value of 'y' in equation (3),
⇒ x = 21 - 11
⇒ x = 10
This means there are 10 girls in the class.
Therefore, there are 10 girls and 11 boys in the class.
Learn more about system of equation here:
https://brainly.com/question/12895249
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In a mathematics class, half of the students scored 52 on an achievement test. With the exception
of a few students who scored 76, the remaining students scored 57. Which of the following
statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean is less than the mode.
C. The mean and the median are the same.
D. The mean is greater than the median.
Answer:
C. The mean and the median are the same.
What is the sum in simplest form?
4.5 + 1 3/5
Answer: 6 1/10
Step-by-step explanation:
Question 18 of 40
5
Simplify (4-2)5
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
A triangle has side lengths 4.9 cm, 7.3 cm, and 8 cm. The angle measures are 36°, 64°, and 80°. What type of triangle is this triangle? please help for 15 points
Answer:
scalene acute triangle
Step-by-step explanation:
By looking at the side lengths, we can see that all of them are different, meaning the triangle is scalene. Next, we can notice that all of the angles are less than 90 degrees, meaning the triangle is acute. Putting this together, we get the triangle is a scalene acute triangle.
Help ill give u brainliest when I can
Answer:
A)82
b)16807
c)10
d)625
Step-by-step explanation:
a: 3^4 or 81
b 7^5. 16807
c 10^2 or 100
d 5^7 78125
which is equivalent?
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x}{\sqrt{2} }[/tex]
Multiply numerator/ denominator by [tex]\sqrt{2}[/tex] to rationalise the denominator
= [tex]\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }[/tex]
= [tex]\frac{x\sqrt{2} }{2}[/tex] → A
PLEASE HELP!! I will give brainliest!! New update because the last one had gore posted in it. Please report it is you see that, I’m so sorry.
Drag the key features to the correct location on the image.
Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?
Answer:
Step-by-step explanation:
hope this helps
Justin can run 2 laps in 1 minute. Which equation below represents this situation?
a) y = x/2
b) x = 2y
c) y = x + 2
d) y = 2x
Determine whether each system of equations has no solution, one solution, or infinitely many solutions
Show work please:)
Answer:
One solutionStep-by-step explanation:
Given system:
y = -3-3(x + 9) = yThe first equation is a horizontal line, the second equation is a line with a slope of -3.
Since the lines have different slopes, they intersect at one point.
As there is one intersection, the system has one solution.
PLEASE HELP
I will give away 100 points to right answer
Answer:
48 yd^2
Step-by-step explanation:
We can cut this shape into 4 squares which areas are all 4x3 or 12. Therefore, we add 12 four times to get 48.
If this helps please mark as brainliest
the distance between two towns is 120 km there are approximately 8 km in five miles which measurement is closest to the number of miles between these two towns
Answer:
about 75
Step-by-step explanation:
You spin a spinner with 4 sections numbered 1-4and then flip a coin. List all the possible outcomes with a tree diagram.
Answer:
/ heads
1
\ tails
/ heads
2
\ tails
/ heads
3
\ tails
/ heads
4
\ tails
Can some help me with my delta math I’m failing my math class
Answer:
Same
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
what’s the equation for this graph pls help me :)
Answer:
y=-1/8x
Step-by-step explanation:
4/9 = ?/?
+ 5/18 = ?/?
___________
?/?
Answer:
+6/27=?/?
Step-by-step explanation:
+6/27=?/? will be the next number as the patter keeps increasing the numerator by 1 and denominator by 9
If tan 0= -21/20 what is cos 0 in quadrant 2
Y'all actually expect people to conduct experiments or to write whole essays for you?
A line on a coordinate plane has a y-intercept of 5 and a slope of 3.what is the slope intercept form of the line?
Answer:
y = 3x + 5
Step-by-step explanation:
Slope intercept form is
y = mx + b
where m is the slope and b is the y-intercept
Given m = 3 and b = 5
y = 3x + 5
Between which two positive integers does V33 lie?
Answer:
0-1 Integers are whole numbers
Step-by-step explanation:
What is 13^c^11?
O A. 91
OB. 105
C. 78
D. 120
Answer:
78
Step-by-step explanation:
13! / 11! · 2!
13 x 12 / 2
13 x 6 = 78
Find all the missing elements:
B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter
Answer:
a=10.8; c=4.3
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
Two of the angles are given as 40 deg and 120 deg.
Subtract the measures of both from the sum to get the last angle:
180-40-120=20; ∠C=20°
Using Law of Sines: [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084[/tex]
[tex]\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109[/tex]
Answer:
c=20 a=10.8 c=4.3
Step-by-step explanation:
Copy each segment.Then construct its perpendicular bisector
(help plz i gift a crown
Answer:no explanation ?
Step-by-step explanation:
what is the length x of PQ
Answer:
11.2
Step-by-step explanation:
If the rectangulars are similar then we can use similarity ratio to calculate value of x
CD is similar to RS and AB is similar to QP
4/6.4 = 7/x cross multiply expressions
4x = 44.8 divide both sides by 4
x = 11.2
Please help me on this
the first one is A
the second one is D
none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question
HOW TO DO THIS QUESTION PLEASE
9514 1404 393
Answer:
£6/h
Step-by-step explanation:
Molly is paid £280 for 35 hours' work, so
£280/(35 h) = £8/h
In the next 5 hours, her pay jumps to £350, so she earns at a rate of ...
(£350 -280)/(5 h) = £70/(5 h) = £14/h
The difference in her pay rates is £14/h -£8/h = £6 per hour.
The base of an isosceles triangle is 7cm long. Each of the other sides is x cm long. What will be the expression for its perimeter?
Answer:
P = 2x + 7
Step-by-step explanation:
You have just received your first paycheck of $4,400 from your new job. You visit the dealership with your friend in search of a car. You see a a used car for $4000. The manager tell you that he will give you a discount of 50 percent. When you get home, your parents tell you that they will pay 50 % of the remaining balance.
You are excited when your friend tell you that you will get the car for "free". You will not have to pay any of your own money for the car?
Answer the questions below by showing your work for each question. Answer must be in full sentence.
a) Is your friend correct in assuming that you will not have to pay any of your own money for the car? Why or why not. Proof it.
b) How much if any of your own money will you have to pay for the car?
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Pls answer my question on a page pls because the files don't work on this computer
Please help??!!!!!!!!!!!!!!!!