Answer:
Kindly check explanation
Step-by-step explanation:
Acceptable = a
Fails = f
For machines X, Y, Z ;
Sample space, S = {aaa, aaf, aff, fff, faa, afa, ffa, faf}
Total elements in sample space = 8
B.)
Elements of the set:
ZF={circuit from Z fails},
XA ={circuit from X is acceptable}.
ZF = {aaf, aff, fff, faf}
XA = {aaa, aaf, aff, afa}
C.)
c. Are ZF and XA mutually exclusive?
Check if ZF n XA = ∅
ZF n XA = {aaf, aff}
Hence, ZF and XA are not mutually exclusive
d. Are ZF and XA collectively exhaustive?
To be collectively exhaustive :
ZF u XA = Sample space
ZF u XA = {aaa, aaf, aff, afa, faf, fff}
{aaa, aaf, aff, afa, faf, fff} ≠ sample space
Hence, ZF and ZA are not collectively exhaustive.
e. What are the elements of the sets
C={more than one circuit acceptable},
C = {aaa, aaf, faa, afa}
D={at least two circuits fail}.
D = {ffa, faf, aff, fff}
f. Are C and D mutually exclusive?
Check if C n D = ∅
C n D = ∅
Hence, A and D are mutually exclusive
g. Are C and D collectively exhaustive?
To be collectively exhaustive :
C u D = Sample space
C u D = {aaa, aaf, aff, afa, faf, fff}
{aaa, aaf, faa, ffa, aff, afa, faf, fff} = sample space
Hence, C and D are collectively exhaustive.
Multiplicative inverse of 345
Answer:
-0.00289855.
Find the least common denominator of these two fractions. LOTO and 1/ 5 The least common denominator is [?]
Answer:
6yx
Step-by-step explanation:
This number will be your least common denominator (LCD). Divide the LCD by the original denominator. To determine the multiple needed to make the denominators equal, divide the LCD you determined by the original denominator. Multiply the numerator and the denominator of each fraction by this number.
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS
Polly has a full 5 kg sack of rice. She pours the rice from this sack into bags. She fills as many bags as possible. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
Answer:
Polly used 15 bags to fill this sack of rice.
Step-by-step explanation:
Each kilogram has 1000 grams.
Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?
We solve this by rule of three, using proportions.
Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So
1 bag - 350g
x bags - 5000g
Applying cross multiplication
[tex]350x = 5000[/tex]
[tex]x = \frac{5000}{350}[/tex]
[tex]x = 14.3[/tex]
Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.
Instructions: Find the equation of the line through point (2, -1) and
parallel to 2x + 5y = 15. Use a forward slash (i.e. "/") for fractions (e.g. 1/2
for 3).
Answer:
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
Passes through: [tex](2,-1)[/tex]
Parallel to: [tex]2x + 5y = 15[/tex]
Required
First, calculate the slope of the parallel line
[tex]2x + 5y = 15[/tex]
Make y the subject
[tex]5y = 15 - 2x[/tex]
Divide through by 5
[tex]y = 3 - \frac{2}{5}x[/tex]
[tex]y =- \frac{2}{5}x+3[/tex]
An equation in slope intercept has the form:
[tex]y = mx + b[/tex]
Where:
m = slope
[tex]y = mx + b[/tex]
So:
[tex]m = -\frac{2}{5}[/tex]
The required is parallel to [tex]2x + 5y = 15[/tex].
This mean, the same slope
The equation is the calculated using:
[tex]y - y_1 = m(x - x_2)[/tex]
This gives:
[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]
[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]
[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]
Take LCM
[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]
[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]
i.e.
[tex]y = -2/3x -1/5[/tex]
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53
Answer:
53
Step-by-step explanation:
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .
NEED HELPPPP! This is hard for me to do!
Answer:
a) This expression is simply the average of both of their hours for a full year.
b) Honestly, I'm not sure, but mathematically, its [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek
c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.
d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).
c) Similar to a), this is an average of their yearly income.
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Answer:
0.0326 = 3.26% probability that she is a student.
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: Woman developer
Event B: Student
Probability that the developer is a woman:
7.4% of 25.8%(students).
76.4% of 100 - 25.8 = 74.2%(not students). So
[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]
Student and woman developer.
7.4% of 25.8%(students), so
[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]
If we encounter a woman developer, what is the probability that she is a student
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]
0.0326 = 3.26% probability that she is a student.
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
What is the perimeter of the regular hexagon? 3 m meters
i will give a brainliest if your answer are correct
Answer:
huhh what this is question is too hard
5×(4+3×2)=5×(4+6)=5×10=50
then its answer C
Use technology to find points and then graph the line y = 5/3x – 1
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
10 km=---------miles
Answer:
10000
Step-by-step explanation:
because 1 km =1000 m
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
lol please help me !
Answer: (a + 2)(a - 2) which is the first answer choice
=========================================================
Explanation:
Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)
In this case, x = a and y = 2
x^2 - y^2 = (x+y)(x-y)
a^2 - 2^2 = (a+2)(a-2)
a^2 - 4 = (a+2)(a-2)
A total of 46 students signed up to play in a flag football league if each team has 10 students how many more students will need to sign up so all of the students can be on a team show your work
Answer:
4
Step-by-step explanation:
40÷10=4 so there's 4 teams but there's still 6 but we need 10 in each team so we need to 4 more people to make it equal
URGENT PLZZ HELP!!!!
Answer: 1
Step-by-step explanation:
Since 2 ≥ 2, we only need to look at [tex]x^3-9x^2+27x-25[/tex].
Plugging in 2 for x in this, we get:
[tex]2^3-9(2)^2+27(2)-25[/tex]
[tex]8 - 36 + 54 - 25[/tex]
[tex]1[/tex]
Hence, the answer is A.
Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I
At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent
Find the greatest common factor of the
following monomials:
25x5 20x6
Answer:
1
Step-by-step explanation:
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?
Answer:
16
every time you go up 10% there will be 2 added
2*8=16
Step-by-step explanation:
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
10% of a number is 2 less than 20% of the same number,
10% .x=20%x-2
Convert % to the decimal by diving with 100.
10/100x=20/100x-2
0.1x=0.2x-2
Subtract 0.1x on both sides
0=0.2x-0.1x-2
Add 2 on both sides
2=0.2x-0.1x
2=0.1x
Divide both sides by 0.1
20=x
Now we need to find 80% of 20.
80% of 20
80/100×20
0.8×20
16
Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.
To learn more on Percentage click:
https://brainly.com/question/28269290
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I need help fast and i really don’t understand this at all