Answer:
The absolute difference between the two calculations is 0.2
Step-by-step explanation:
Student 1
When the events do not affect each other, they are known as independent events. That is, two events are independent if the result of the second event is not affected by the result of the first event.
When two events are independent, the probability that A and B occur is equal to the product of the probability that A occurs and the probability that B occurs. Then:
P(A∩B)= P(A)*P(B)
The probability of the opposite event is equal to 1 minus the probability of the event. So in this case you have:
P(A'∩B')= 1 - P(A∪B)
Being P(A∪B)= 0.7, then:
P(A'∩B')= 1 -0.7
P(A'∩B')= 0.3
Being P(A)= 0.5 and P(A'), so
0.3= 0.5*P(B)
[tex]P(B')=\frac{0.3}{0.5}[/tex]
P(B')=0.6
Being P(B)= 1 - P(B') so P(B)= 1 - 0.6 and you get P(B)=0.4
Student 2
Two events are mutually exclusive when both cannot occur simultaneously. In other words, two events A and B are incompatible or mutually exclusive when they have no element in common. This is: P(A∩B)= 0
Being P(A∪B) =P(A) + P(B) - P(A∩B), P(A)=0.5 and P(A∪B)= 0.7, you get:
0.7=0.5 + P(B) -0
Solving:
0.7=0.5 + P(B)
0.7 - 0.5 = P(B)
0.2 = P(B)
Finally the absolute difference between the two calculations can be calcutated as:
|0.4 - 0.2|= 0.2
The absolute difference between the two calculations is 0.2
whats 10293 x 384? Its really hard!
Answer:
3,952,512
Step-by-step explanation:
4. The time needed to complete the final exam in statistics at CAU is normally distributed with a mean of 90 minutes and a standard deviation of 10 minutes.What is the probability that the exam will be completed in one hour or less
Answer:
The value is [tex]P(X \le 60 ) = 0.00135[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 90 \ minutes[/tex]
The standard deviation is [tex]\sigma = 10[/tex]
Generally 1 hours = 60 minutes
Generally the probability that the exam will be completed in one hour or less is
[tex]P(X \le 60 ) = 1 - P(X > 60 )[/tex]
Here
[tex]P(X > 60 ) = P( \frac{ X - \mu }{ \sigma } > \frac{ 60 - 90 }{ 10 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 60 ) = P( Z> -3 )[/tex]
From the z -distribution table the probability of ( Z> -3 )
[tex]P( Z> -3 ) = 0.99865[/tex]
[tex]P(X > 60 ) = 0.99865[/tex]
=> [tex]P(X \le 60 ) = 1 - 0.99865[/tex]
=> [tex]P(X \le 60 ) = 0.00135[/tex]
Help me before 9 24 am pls
Answer:
128calories/cup
256calories
Step-by-step explanation:
Given parameters:
Amount of calories = 96calories
Number of cups = [tex]\frac{3}{4}[/tex]cups
Unknown:
Unit rate(calories per cup) = ?
Number of calories in 2 cups = ?
Solution:
A. To find the unit rate;
Unit rate = [tex]\frac{amount of calories}{number of cups}[/tex]
Insert the parameters and solve;
Unit rate = [tex]\frac{96}{\frac{3}{4} }[/tex]
Unit rate = 96 x [tex]\frac{4}{3}[/tex] = 128calories/cup
B. Number of calories in 2 cups;
Amount of calories = unit rate x number of cups
Amount of calories = 128calories/cup x 2cups
Amount of calories = 256calories
Like a Quarter Pounder, I found her
She with a boy think it's Ned Flanders
She said that, really nice
With my ice, I drown her
I found her soul in the night
She's a Salamander
Cold blooded the type
What number would you multiply the following equation by to eliminate the fractions?
1/2x+5/6−1/12=3/2
Answer:
With the largest denominator which is 12
Step-by-step explanation:
Help me with this question pleaseeee
Charmaine purchased a prepaid phone card for $15. Long distance calls cost 7 cents a minute using this card. Charmaine used her card only once to make a
long distance call. If the remaining credit on her card is $13.88, how many minutes did her call last?
the call lasted 16 minutes
russell did 36 push ups in 1 minute. will did 54 pushups in 1.5 minutes. did they do push ups ate the same rate.
Answer:
Yes
Step-by-step explanation:
If you convert these numbers to push ups per minute, It gives you the same amount per minute.
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest. Please show me points on paper. [ Only Answer If You Truly Know How To Please And Thank You].
Answer:
[tex]the \: points \: are : \\ ( - 1, \: - 9) \\ ( 0, \: 3) \\( 4, \: 2)[/tex]
Step-by-step explanation:
[tex]f(x) = 3x - 5 \: ....if \: x \leqslant - 1 : \iff \: ( - 1, \: - 9) \\ if \: x = - 1 \: then \: y = - 9\\ f(x) = - 2x + 3 \: ....if \: - 1 < x < 4 :\: \iff( 0, \: 3) \\if \: x = 0 \: then \: y = 3 \\ f(x) = 2\: ....if \: x \geqslant 4 : \: \iff( 4, \: 2)[/tex]
♨Rage♨
If 3+2=5 then 5=3+2
is this an example of Symmetric property?
Answer:
d
Step-by-step explanation:
simplify (q+8)2 please help, thank you
q^2 +16q+64
All you have to do is substitute the exponent two.
Q by itself is q squared: q^2
Q times 8 is 8q, and because of exponent you have to double it, which gives you 16q.
And 8 times itself is 64.
Hope this helps
Please help please help
Someone helped please xxx
Answer:
es de ingles matt verdad
A.
<A = <Z (both have 2 lines)
<B = <X (both have one line)
<C = <Y (both have 3 lines)
B.
AB = XZ (both have 3 markings)
AC = ZY (both have 1 marking)
BC = XY (both have 2 markings)
what is th expression
-4^2+4*2
Answer:
−8
Step-by-step explanation:
=−16+(4)(2)
=−16+8
=−8
5-b<18 solve the question
Answer:
b>13
Step-by-step explanation:
Answer:
5-b<18 : [solution: b>-13]
[interval notation: (-13, \infinity/)
Step-by-step explanation:
If the fabric, thread, buttons, and zipper cost $13.30, how much is the sales tax if the tax is 8%?
Answer:
$1.06 to thousendth is the tax
Step-by-step explanation:
13.30*2/25=Your answer
The management of a forestry company estimates that acres of forest available for logging will increase at a rate given by R(t) = 56/root t + 7 for 0 leq t leq 20, where R(t) is the rate of new acreage becoming available in thousands of acres per year, t years after the current year. How many acres of forest, Q(t), will become available for logging over the first five years?
A. 46 thousand acres.
B. 148 thousand acres.
C. 296 thousand acres.
D. 92 thousand acres.
Answer:
Step-by-step explanation:
If the acres of forest available for logging will increase at a rate given by
R(t) = 56/√t + 7
In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.
R(5) = 56/√5 + 7
R(5) = 56/2.236 + 7
R(5) = 25.044 + 7
R(5) = 32.044
The amount that will be available over the first five years is 32 thousand acres
An artist uses 2 ounces of blue paint for every
7 ounces of yellow paint. The artist has 49
ounces of yellow paint. How many ounces of blue
paint will she need to add.
Answer:
14
Step-by-step explanation:
There are 360 calories in 9 bags of chips.How many calories are in 5 bags of those chips?
Answer:
200 calories
Step-by-step explanation:
360 ÷ 9 = 40
40 X 5 = 200
Answer:
there are 200 calories in 5 bags of chips
Step-by-step explanation:
divide 360÷9=40 and then multiply 40 times five equ3ald 200
What is m∠PTS? Enter your answer in the box. ° A horizontal line segment S R intersects with line segment P Q at their midpoint T. The upward-left and downward-right angles made by these lines are acute. The upward-left acute angle is labeled left square bracket 11 left parenthesis y minus 10 right parenthesis right square bracket degrees. The downward-right acute angle is labeled left parenthesis 4 y minus 5 right parenthesis degrees.
Answer:
m /_PTS = 55°
Step-by-step explanation:
Just took the quiz..
The measure of angle m∠PTS from the given figure is 55°.
From the given figure, the two angles are 11(y-10)° and (4y-5)°.
What is vertical angle theorem?Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
Now, 11(y-10)° = (4y-5)°
⇒ 11y-110 = 4y-5
⇒ 11y-4y = -5+110
⇒ 7y = 105
⇒ y = 15
So, m∠PTS = 11(15-10)
= 55°
Therefore, the measure of angle m∠PTS from the given figure is 55°.
To learn more about the vertical angle theorem visit:
brainly.com/question/8119520.
#SPJ2
A real-valued function f is said to be periodic with period T ≠ 0 if f(x + T) = f(x) for all x in the domain of f. If T is the smallest positive value for which f(x + T) = f(x) holds, then T is called the fundamental period of f. Determine the fundamental period T of the given function. f(x) = cos(2πx)
Answer:
f(x) = cos 2πx
Thus the fundamental period T = 1
Step-by-step explanation:
From the information given:
The periodic function f(x + T) = f(x) T ≠ 0 provided that T is the smallest positive value for which f(x + T) = f(x) holds, then T is called the fundamental period of f.
Now, for the given function f(x) = cos(2πx)
suppose T = 1/4 since T ≠ 0
Then:
f(x+ 1/4) = cos(2π (x + 1/4) )
f(x+ 1/4) = cos (2πx + π/2)
f(x+ 1/4) = -sin 2πx (Not satisfied)
suppose T = 1/2 since T ≠ 0
Then:
f(x+ 1/2) = cos(2π (x + 1/2) )
f(x+ 1/2) = cos (2πx + π)
f(x+ 1/2) = -cos 2πx (Not satisfied)
suppose T = 1 since T ≠ 0
Then:
f(x+ 1) = cos(2π (x + 1) )
f(x+ 1) = cos (2πx + 2π)
f(x+ 1) = cos 2πx
f(x+ 1) = f(x)
f(x) = cos 2πx
Therefore, the fundamental period T = 1 since f(x) = cos 2πx
2. Simplify the expression: 5 x 6 + 6 = 6 - 12 x 2
c. 6
a. 4
b. 5
d. 7
Answer:
6
Step-by-step explanation:
5x6+6=6-12x2
collect like terms
5x6=6-6+12x2
5x6= +12x2
30=+24
collect like terms
30-24
=6
plz mark brainlestwhy the factor 1.5 is broken into two numbers in the model.
Please help me idk what to do *GEOMETRY finding angles*
Answer:
69
Step-by-step explanation:
First, find the angle FCB by subtracting 70 and 41 from 180. You should get 69. Then, because it says AD paralell EG, you could use the transversal FC to locate some angles. Fortunately, GFC and FCB are opposite interior angles, meaning they are equal in angle measure.
I will give brainliest! :D
Frank had 90 flyers to hang up around the school. After
giving the same number of flyers to each of three
volunteers, he had 12 left to hang up by himself.
Which tape diagram goes with the story? ^
23 pointsPLEASE HELP QUICK Which of the following represents a function
Mathematics what is 567divide by 8
Answer:
70.875
Step-by-step explanation:
Don't you have a calculator..?
What is the sum of 34 and its additive inverse?
Answer: 0
Step-by-step explanation:
The inverse property is basically the opposite of the number
a popular roller coaster ride lasts 10 minutes. there are 20 people on average on the roller coaster during peak time. how many people are stepping into the roller coaster
Answer:
Flow rate is 2 people per minute
Step-by-step explanation:
The computation of the number of people stepping into the roller coaster is shown below:
Here we use the little law
As we know that
Inventory or number of jobs = throughput or flow rate × flow time
20 = throughput or flow rate × 10
Therefore
Flow rate is 2 people per minute
We simply applied the above formula
I need help !! I don’t understand it
Answer:
B
Step-by-step explanation:
subtract both sides by 2B and divide both sides by P to get h = S-2B / P
