Can Defects A company that makes soda pop cans finds that the
probability of producing a can without a puncture is 0.96, the probability that
a can does not have a smashed edge is 0.93, and the probability that a can
does not have a puncture and does not have a smashed edge is 0.893.
(a) Are the events "selecting a can without a puncture" and "selecting a can
without a smashed edge" mutually exclusive? Explain.
(b) If a quality inspector randomly selects a can, find the probability that the
can does not have a puncture or does not have a smashed edge
Using probability concepts, it is found that:
a) Since [tex]P(A)P(B) \neq 0[/tex], the events are not mutually exclusive.
b) 0.997 = 99.7% probability that the can does not have a puncture or does not have a smashed edge.
Item a:
Two events, A and B, are mutually exclusive if:
[tex]P(A \cap B) = 0[/tex]
In this problem:
Event A: No puncture, thus, [tex]P(A) = 0.96[/tex].Event B: No smashed edges, thus [tex]P(B) = 0.93[/tex]The problem also states that the probability of neither is [tex]P(A \cap B) = 0.893[/tex].
Since [tex]P(A)P(B) \neq 0[/tex], the events are not mutually exclusive.
Item b:
Using Venn probabilities, the "or" probability is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
With the given values:
[tex]P(A \cup B) = 0.96 + 0.93 - 0.893 = 0.997[/tex]
0.997 = 99.7% probability that the can does not have a puncture or does not have a smashed edge.
A similar problem is given at https://brainly.com/question/23855473
There are 36 students in a class the pie chart shows the colour of their hair
Where is the question?
Step-by-step explanation:
36
Can you please help me with #4-#5?I don't know how to find the answer.
Answer:
Step-by-step explanation:
4:C(X) = 17x - 10, the first question wants you to find how much 5 ticket costs, so replace x with 5 so c(x)= 17(5)-10 which equals 75$
4a: 4a wants you to find how many tickets you can buy for 130$. So first replace the y or c(x) with 130 x, which gives 130=17x-10. Now we find x, first add 10 to both sides to cancel the -10, 140=17x, then divide 17 from both sides which gives 8.235, so we can buy 8 tickets.
4b: It is discreet because it cannot be broken down into decimals or fractions, since you cannot have a halve of a ticket.
4c: c(0) means the y-intercept
4d: the range is 7 to positive infinite
5:
x y
0 -10
1 7
2 24
3 41
4 58
5 75
Answer:
♡ The first answer is correct
♡ Please mark them BRAINIEST
♡ Hope this helps
♡ Have a beautiful day
Step-by-step explanation:
Find the slope and y-intercept for this table.
Answer:
Slope is -5 and y-intercept is 90.
Step-by-step explanation:
Use the two values that you circles (4, 70) and (6, 60) .
slope (m) = the change in y-value/ (the change in the x-values).
m = (70 - 60)/(4 - 6) = 10/-2 = -5
The y-intercept is the value of "b" in the equation y = mx + b.
Using y = mx + b, substitute the value m and use point of your points (4, 70).
y = mx + b
70 = -5(4) + b Now solve for "b".
70 = -20 + b
+20 = +20
90 = b
HELPPP PLZZ GIVING 40 BRAINLEIST AWAYYY
Answer:
Proportional relationship:
y = kxUse a pair of points (0.14, 0.7) to find the value of k:
0.7 = 0.14kk = 0.7/0.14k = 5The function is:
y = 5xFill in the table:
x = 3.1 ⇒ y = 5*3.1 = 15.5x = 2.5 ⇒ y = 5*2.5 = 12.5x = 1.2 ⇒ y = 5*1.2 = 6x = 0.9 ⇒ y = 5*0.9 = 4.5y = 0.3 ⇒ x = 0.3/5 = 0.06y = 0.1 ⇒ x = 0.1/5 = 0.02Write the slope - intercept form of the equation of each line through thr points(2,5) and (3,4
Answer:
y=-x +4
Step-by-step explanation:
y-2= -1(x-2)
y-2=-x +2
y= -x +4
Answer:
Slope: m=-1
y-intercept: (0,7)
slope intercept form: y=-x+7
The surface area of a spherical ball is 2464cm².Calculate the diameter of the ball. Take /pi to be 22/7
Answer:
Step-by-step explanation:
The surface area of a spherical ball = 2464cm²
[tex]\dfrac{4}{3}\pi r^{2}=2464\\\\\dfrac{4}{3}*\dfrac{22}{7}*r^{2}=2464\\\\r^{2}=2464*\dfrac{3}{4}*\dfrac{7}{22}\\\\= 28* 3 * 7\\\\ = 588\\r = \sqrt{588}\\\\r= 24.25 \ cm\\\\Diameter = 2*r = 2*24.25 = 48.5 \ cm[/tex]
1. y=3x+6 2. y=-2x+4 3. y=1/2x-6 4. y=2/3x 5. y=-4x+1/8
Answer:
Here u go bro. You have to just replace y and x with zero and then draw the I think structure say say:')
point Q is at (2,4) what happens after a 270 degree rotation about the origin
Answer:
(4, 2) the formula for 270 rotation counterclockwise is (y,-x)
Step-by-step explanation:
Help please …………….urgent :)
Answer:
The speed of the boat in still water is 12 miles per hour, while the speed of the current is 9 miles per hour.
Step-by-step explanation:
We'll use x as the speed of the boat in still water in miles per hour.
We'll use y as the speed of the current in miles per hour.
When the boat is traveling downstream, the speed of the boat is helped by the speed of the current and the net speed is x + y.
When the boat is traveling upstream, the current opposes the movement of the boat, and the net speed is x - y.
Using a table where d = distance in miles, r = rate or speed in miles per hour, and t = time in hours can help figure out how to figure out this problem.
─────────────────
Downstream│210│(x + y)│10
Upstream│210│(x - y)│70
─────────────────
Recall that distance = rate x time or d = rt.
210 = (x + y)10 ➤ Equation from downstream information.
210 = (x - y)70 ➤ Equation from downstream information.
210 = 10x + 10y ➤ Distribute.
210 = 70x - 70y ➤ Distribute.
7 × 210 = 7 × 10x + 7 × 10y ➤ Multiply the 1st equation by 7.
1470 = 70x + 70y ➤ Add the 1st equation to the 2nd.
210 =70x - 70y ➤ Add the 1st equation to the 2nd.
1680 = 140x
─────────────────
1680/140 = 140x/140
x = 12
210 = (12 + y)10 ➤ Substitute x = 12 into one of the original equations to find y.
210 = 120 + 10y
-120 - 120
90 = 10y
90/10 = 10y/10
y = 9
hi guys can someone help me whit this question is for tommorow for my is so difficult . The exercise talks about math sets. It is: give three examples of sets A and B such that AU(union)B=B
Answer:
(i) A = {1}, B = {1, 2}, (ii) A = empty set, B = {1, 2, 3}, (iii) A = {a, b, c}, B = {a, b, c}, (iv) A = {7, 8, 9, 10}, B = {7, 8, 9, 10, 11, 12}
Step-by-step explanation:
The idea: A U B = the set of all elements (from a Universal set, like the set of all integers) that are in at least one of the sets A or B. So, for the equation A U B = B to be true, the set A must be a subset of the set B, because otherwise A U B would contain at least one element not in B, making the equation A U B = B false (set B would be a proper subset of A U B). So, if A = {1, 2, 3, 4} and B = {1, 2, 3}, then A U B = {1, 2, 3, 4}, and A U B = B would be false. However, if A = {1, 2, 3} and B = {1, 2, 3, 4}, then A U B = B would be true.
need help due in 2 minutes!!!!
Step-by-step explanation:
r = 32/40 = 0.8
S10 = 40(1- (0.8)^10)/ (1- 0.8)
= 40(1 - 0.107) / 0.2
= 200(1.107)
= 221
What is x in this problem ?
Answer:
is it just -12
because -12 +122 = 110
The polygons
are similar. Find x.
i need #1 and 2 lol please
9514 1404 393
Answer:
x = 8x = 35Step-by-step explanation:
Corresponding sides have the same ratio in similar figures.
1. x/20 = 6/15
x = 20(6/15) = 8 . . . . multiply by 20
__
2. x/20 = 14/8
x = 20(14/8) = 35 . . . . multiply by 20
one of the four gas stations located at a major intersection of two major roads is a Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the possible values that x can assume?
Answer:
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (15,2) and the Bus Station is located at (5,-10).
The Train Station is located at point?Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the poss
steve baked 5 1/2 batches of cookies in one and one half hours. Vondra baked 3 1/3 batches of cookies in 11/12 hour. Which baker made cookies at a greater rate of batches per hour?
Answer:
Step-by-step explanation:
Steve 11/2 batches / 3/2 hrs = 11/2(2/3) = 11/3 = 3 2/3 = 3 22/33 batches/hr
Vondra 10/3 batches / 11/12 hr = 10/3(12/11) = 120/33 = 3 21/33 batches/hr
Steve had a very slightly faster batch rate by only 1/33 batch/hr
Which values are solutions to the inequality -3x - 4< 2? Check all of the boxes that apply.
-4
-2
0
3
Answer:
-3x-4<2
Step-by-step explanation:
it would end up being 3
A rectangular piece of gift wrap
Answer:
Uh... this isnt a question
Step-by-step explanation:
The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 184 feet,
what is the area of the garden in square feet?
Answer:
23
Step-by-step explanation:
divide 184 by 8 to find the answer
You go to the deli counter at your grocery store and order 3/4 of a pound of sliced cheese that costs $7.99 per pound. The employee slices exactly 3/4 of a pound for you. What is the price of your cheese? _
5 bucks i think im not sure dough'
Answer:
1/2 = 0.5 and 3/4 = 0.75
Use a proportion: 0.5/2.60 = 0.75/x
Cross multiply: 0.5x = 0.75*2.60
So x = 0.75*2.60/0.5 = 3.90
Help plssssss I love yall sooooo much just please help btw this is Math just try your best love yallllllll!!!!!!!!
9 is 50% of what number plz help
Answer:
9 is 50% of number 18
'cuz u should do 18/2=9
Answer:
9 / 50% = Y / 100%
Solve for Y
50Y = 9 x 100
50Y = 900
Y = 900 /100 = 18
note: when i put / it means fraction
so the answer to your question is 18 :D
Give on f(x) = 2x + 9 if f(x)= 15 find x
Answer:
x = 3
Step-by-step explanation:
Set both equations equal to each other and solve.
2x + 9 = 15
2x = 6
x = 3
6t - 20 - 32u when t = 6 and u = 1/4
Answer: 8
Step-by-step explanation:
Substitute the variables for the number they represent
6(6) - 20 - 32(1/4)
Multiply
6*6 = 36
32 x .25 = 8
36-20-8
16-8
8
Answer:
here given equation is 6t - 20 - 32u
value of t=6
value of u=1/4
then...
putting the value in the given equation.. we get,
=6*6-20-32*(1/4)
=36-20-8
=8
Y+12=y-20
Solve for y
Answer:
No solution
Step-by-step explanation:
y + 12 = y - 20
=> y = y - 20 - 12
=> y - y = -32
=> No solution
Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 6 1/3
6.03 -> 6.2 -> 6 1/3 -> 6 2/5
good luck !! :)
F(x) =?. Vertex is (2,-4) the other given point is (1,-2)
Can you write down the days of the week with the number "500" next to them for me. Make this 2 times thank you :)
Answer:
my day is going very sad so please sir l am try to improve my self help me
PLEASE HELP!! QUESTION IS IN IMAGE
Answer:
false and then true
Step-by-step explanation:
Hope this helps :)
Answer:
First one is False, second one is true.
Step-by-step explanation:
For the first one, the left side of the equation would equal -6/3, and the left side would be 3/-6. When simplified it would be: -2 = -1/2, which is incorrect.
For the second one, the left side and the right side are the same because either way you put it, they are still being multiplied, and the order doesn't matter. The end result will be -72 = -72, which is correct.
I hope this helps!! :>
HELP ME PLEASE!!! answer 1, 5, and 6. It’s similar figures and drawing scales. It’s due so please!!!! I am begging it’s this third time I’m asking. I am going to cryyy