Answer:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.
Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
Answer:
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
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: Tests positive
Event B: Has the disease.
Probability of a positive test:
100 - 8 = 92% of 0.6%(person has the disease).
3% of 100 - 0.6% = 99.40%(person does not have the disease). So
[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]
Probability of testing positive and having the disease:
92% of 0.6%. So
[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]
Probability that a person who tests positive actually has the disease.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
if the circle is 2 inches what will the circumference be round to the nearest 10th
1. What angles are
congruent to angle 5?
Answer:
All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65° hope this helps you
Step-by-step explanation:
For the right triangle above, which is closest to the value of x?
A .12
B. 18.8
C. 09
D. 20
Find the area of the polygon.
42 m
26 m
21 m
52 m
The area of the polygon is _
square meters.
Answer:
1327
Step-by-step explanation:
Please check the attachment for explanation.
Please help
Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]
Answer:
the answer is 2,-1 please mark me brainless thank you
Answer:
The answer would be (2,-1)
Step-by-step explanation:
Fill in 2 and then -1
plsss heelp meeee i have been stuck on this for days
Answer: Step-by-step explanation:
-z<-7
z>7
7.1
8
12
lol, A triangle has sides of length 25, 16, and 7. Is this a right triangle? Justify your answer using mathematics.
9514 1404 393
Answer:
no
Step-by-step explanation:
The given side lengths do not form a triangle of any kind.
[tex]7+16\ngtr 25[/tex]
Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
Can someone please help me I will mark u brilliant
Answer:
d
Step-by-step explanation:
NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.
If you can buy one tub of dried blueberries for $8, then how many can you buy with $16?
Answer:
you can buy 2 tub of dried blueberries with $16
Step-by-step explanation:
1 tube ---cost for $8..
x ?-------cost for $16........mean 2 tubs of dried blueberries for $16....
If you got your 60% discount and opened up the card for an additional 20%, what is the actual % discount you would receive?
Please do not answer with link
Answer:
80 I guess.................
Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False
Answer:
True
Step-by-step explanation:
Miguel is staining a wooden box. he needs to find the surface area of the box
We have given that,
Miguel is staining a wooden box.
To determine how much stain he needs, he'll need to find the surface area of the box.
We have to determine statement is true or false.
What is the surface area of the box?
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Therefore he needs to find the surface area of the box
and it is a true statement.
To learn more about the box visit:
https://brainly.com/question/26161002
#SPJ2
Angle ABC and angle CBD are complimentary .CBD has an angle of 38 degrees What is the value of x?
Answer:
what school you do i think im on that
on thatStep-by-step explanation:
Answer:
142
Step-by-step explanation:
Complimentary means 180 degrees, so you have to subtract 38 from 180:
180
-38
142
Which negative angle is equivalent to a 75° angle?
Answer:
A) -285
Step-by-step explanation:
360-75=285
Please explain step by step.
Answer:
B
Step-by-step explanation:
If you at the graph it shows that the dots in bettwen Y side (left side)
so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20
What is the C term in this problem: x^2+3x+2
Answer:
2
Step-by-step explanation:
Cuz the form is Ax^2 + bx + c
A = 1 (imaginary)
B = 3
C = 2 (same as y-intercept)
2. Ask. Which of the following statements should occur?
A. x = 6:
B. x <3:
C. x> 0:
D. x ^ 2 x:
F. Leave the question unanswered
Please help
the diagram shows a cube and a cuboid
Answer:
2197 cm³
Step-by-step explanation:
surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014
surface area of cube = 6 * x² .... x: side length of cube
6x² = 1014
x² = 169
x = 13
volume of cube = x³ = 13³ = 2197 cm³
Which table represents a linear function?
1) f(x)
2) g(x)
3 h(x)
4 k(x)
Answer: f(x)
Step-by-step explanation:
Ssomeone help me in this one now please
Answer:
700 runners
Step-by-step explanation:
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
What is the interest rate on a savings account of $10,000 that earns $2,000 after 4 years?
Answer:
5%
Step-by-step explanation:
2000/4=500 per year in interest
500/10000=.05 or 5%
Which line is parallel to 2x - y = -3 and goes through (5, 5)?
Answer:
G. y=2x-5
Step-by-step explanation:
First, find the slope from 2x-y=-3
-y=-2x-3
y=2x+3, which means that the slope is 2
Since it is parallel, the given equation and the line we are finding has the same slope.
let y=mx+b, where m=2, y=5, x=5
5=2(5)+b
5=10+b
-5=b
Thus, y=2x-5
Answer:
F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5
What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.
Answer: [tex]\dfrac{1}{52}[/tex]
Step-by-step explanation:
Given
We need to choose 6 of clubs that's also a red
A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards
Probability is the ratio of favorable to the total outcomes
[tex]\Rightarrow P=\dfrac{1}{52}[/tex]
A bag contains 9 red, 7 blue, and 4 yellow marbles. If a marble is chosen at random from the bag, what is the probability that it is NOT yellow? (in fraction form) A) 1 5 B) 1 3 C) 3 5 Eliminate D) 4 5
Answer:
D
Step-by-step explanation:
if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.
3-2
Answer:
the answer would be 1 sorry if I'm wrong
Answer:
the answer is 1/9 trust me its right
Step-by-step explanation:
sharon runs 7/10 mile mile in 6 minutes. How many miles does she run in one minute? In one hour?
Answer:
7/60 miles in one minute
7 miles in one hour
Step-by-step explanation:
7/10 = 6 minutes
/6 /6
7/10 / 6 = 7/10 * 1/6 = 7/60
B. 7/10 = 6 minutes
*10 *10
7/10 * 10 = 70/10 = 7 miles
7 miles = 60 minuites
Plz help me well mark brainliest if correct!
Answer:
Two weeks later
Step-by-step explanation:
There are 14 days in two weeks, and there are 14-day intervals between dates.
Answer:
2 weeks later
Step-by-step explanation:
Two weeks is equivalent to 14 days