Answer:
a) 0.97605 = 97.605% probability that the process will signal.
b) 0.2076 = 20.76% probability that microaerophiles are present.
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.
a. What is the probability that the process will signal?
It signals in these following moments:
97.8% of 31%(contains obligate anaerobes).
98.1% of 27%(contains facultative anaerobes).
96.5% of 21%(contains microaerophiles).
99.2% of 12%(contains nanaerobes).
95.9% of 9%(contains aerotolerant). So
[tex]p = 0.978*0.31 + 0.981*0.27 + 0.965*0.21 + 0.992*0.12 + 0.959*0.09 = 0.97605[/tex]
0.97605 = 97.605% probability that the process will signal.
b. If the test signals, what is the probability thatmicroaerophiles are present?
Event A: Test signals
Event B: Contains microaerophiles
0.97605 = 97.605% probability that the process will signal.
This means that [tex]P(A) = 0.97605[/tex]
Intersection of events A and B:
Signals containing microaerophiles, which is 96.5% of 21%. So
[tex]P(A \cap B) = 0.965*0.21 = 0.20265[/tex]
The probability that microaerophiles are present is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.20265}{0.97605} = 0.2076[/tex]
0.2076 = 20.76% probability that microaerophiles are present.
The baker's recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
Answer:
not enough info. how much flour does he have to begin with? how much does he use per day?
Step-by-step explanation:
from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat
Step-by-step explanation:
Height of tower - 80m
Distance between foot of tower and boat 1 = x
Distance between boat 1 and boat 2 =y
Tan 45 = 1 = 80/x
x = 80
Tan 30 = 1 / root 3 = 80 / 80 + y
y = 80 root 3 + 80
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
--- your answer is 9 oof
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
1.3 yards
Step-by-step explanation:
Answer:
1 7/18 yards or 1 14/36 yards.
Step-by-step explanation:
There are 36 inches in a yard, so you divide 50 by 36.
You get a variety of answers depending on what form you want it in:
1 yard 1 foot and 2 inches.
1 yard and 14 inches.
These two answers take two forms as fractions of 36:
1 14/36 yards
or simplified: 1 7/18 yards.
How many ways are there to add three positive even numbers to get a sum of 20? Solve this
problem by making a systematic list, then state your solution.
Help!!!!! can you show your work too thanks
Answer:
no entender veri mucho......aaaa
Need help on only 27 please need ASAP thanks
Answer:
8 is not in the solution set
Step-by-step explanation:
Given, -y + 7 < -4
To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.
Thus:
-8 + 7 < -4
-1 < -4
This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.
Therefore, 8 is not in the solution set.
URGENT HELP 30 POINTS
Answer:The answer is pride 5
Step-by-step explanation:
Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a
If she repays the loan in 3
months, how much interest does she pay in total?
We know, 1 year = 12 month.
So, 3 month = 3/12 = 0.25 year.
Now, principle amount, P = $400 .
Rate is, r = 8% = 0.08
Time period, t = 0.25 year.
Now, Interest is given by :
I = P × r × t
I = $( 400 × 0.08 × 0.25 )
I = $8
Therefore, she will pay $8 interest in total.
How much net work is required to accelerate a 1000 kg from 20 m/s to 30
m/s?
Answer:
Work= force(F) * distance (s)
weight is a force and so
F=weight=mass *acceleration due to gravity
=1000*10=10000N
S=?
To find s,
F= ma
a=F/m=10000/10
a=10m/s²
Using Newton's third equation of motion
v²= u²+2as
30²= 20²+2*10*s
900–400=20s
500=20s
s=500/20= 25m
Work =F*s
Work=10000*25
Work= 250000J or 250KJ
Step-by-step explanation:
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
What is the value of x?
Answer:
98%
Step-by-step explanation:
Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in
Answer:
12
Step-by-step explanation:
how do you solve 0.7n-1.5+7.3n=14.5
Answer:
n = 2
Step-by-step explanation:
Answer:
n = 2
Step-by-step explanation:
0.7n-1.5+7.3n=14.5
Add like terms
(0.7n + 7.3n) + (-1.5) = 14.5
8n -1 .5 = 14.5
Add 1.5 to both sides.
8n =1 6
Divide both sides by 8.
n = 2
algebra
3(x — 5) + 2(3х + 1) = 45
Answer:
Step-by-step explanation:
Work out the value of 3 \times(3^2 + 4) - 83×(32+4)−8.845
Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box?
Find the product.
902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354
Is x = -4 a solution to these equations? Show your work and write YES or NO.
1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31
Answer:
1. Yes
2. No
3. Yes
Step-by-step explanation:
We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.
To solve we need to substitute the x in every equation for -4. Start :
1.
3(2(-4) - 4) = -36
3(-8 - 4) = -36
-24 - 12 = -36
Therefore -4 is a solution.
2.
5(-4) - 6(-4) - (-4) = 18
-20 + 24 + 4 = 18
4 + 4 = 18
8 ≠ 18
Therefore -4 is not a solution.
3.
5 - 2(3(-4) - 1) = 31
5 - 2(-12 - 1) = 31
5 - 2(-13) = 31
5 + 26 = 31
Therefore -4 is a solution.
Kevin draws out one M&M without looking.
· What is P(green)?
· What is P(red)?
· What is P(~Yellow)?
· What is P(~Orange)?
Answer:
1/6
Step-by-step explanation:
M&M comes in 6 colors.
So, P(green), = 1/6
P(red) = 1/6
· P(Yellow) = 1/6
· P(Orange) = 1/6
Help please! Could you explain it too?
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
are squares parallelograms
9514 1404 393
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.
_____
A rhombus is a special case of parallelogram in which adjacent sides are the same length.
A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.
__
An alternate route to the same conclusion is ...
A rectangle is a special case of parallelogram in which vertex angles are 90°.
A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.
Easton is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Easton have to pay for parking if he left his car
in the lot for 2 hours? How much would Easton have to pay if he left his car in
the lot for t hours?
Answer:
If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars
Step-by-step explanation:
Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8
Step-by-step explanation:
tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377
Answer:
c) -152/377
Step-by-step explanation:
yan po ang tamang sagot ko..
Please help
look at picture
supplementary angles
Answer:
x=56
Step-by-step explanation:
(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles
This simplifies to 2x+68=180 because -3+71 is 68.
2x+68=180
2x=180-68
2x=112
x=112/2
x=56
What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2
Answer:
907.46
Step-by-step explanation:
diameter = 34
radius = 17 (half of diameter)
A=πr^2
HOPE THIS HELPS PLZ MARK BRAINLIEST! :)
what is 1000000000÷10?
Answer:
Step-by-step explanation:
If you're dividing a number by 10, just remove one zero, so we have: 1000000000÷10 = 100000000.
Answer: 100,000,000
Step-by-step explanation:
1,000,000,000/10 = 100,000,000
Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)
Answer: The is down there
Step-by-step explanation: Glad to help but hope it helps you.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
O True
O False
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The statement is False.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The given statement is FALSE.
Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.
Learn more about multiplying fractions at:
https://brainly.com/question/33169891
#SPJ2
What’s the answer please help if you see this thank you?
Answer:
60
Step-by-step explanation:
8x6=48
3x4=12
48+12=60