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
3)Calcular la distancia entre los puntos A = (2,1) y B =(-3,2)
Answer:
Step-by-step explanation:
You use the distance formula
d = √ (x1-x2) ² + (y1- y2) ²
d = √ (2 - (-3)) ² + (1 - 2) ²
d = √ (25 + 1)
d = √26
d = 5.2
Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(-2)
PLEASEEEEEEE HELP OR ELSE I WILL DIE
Answer:
Step-by-step explanation:
g(-2) = -2 - 3 = -5
f(-5)= 2(-5) + 7 = -10 + 7 = -3
Select all polynomial expressions that are equivalent to 6X^4 + 4X^3 - 7X^2 + 5X +8.
A. 16x^10
B. 6X^5+ 4X^4 - 7X^3+ 5X^28.
C. 6X^4 + 4X^3 - 7X. ^2 + 5X +8.
D. 8 + 5X 7x^2 _ 4x^3 + 6x^4
E. 8 + 5X - 7x^2 + 4x^3 + 6x^4
Part A Question Create an equation from the model that describes the relationship between the weights on each side of the scale. Enter the correct answer in the box.
use the picture i included to solve
and please be quick
Answer:
steps below
Step-by-step explanation:
3+2y = 2+4y
2y = 1
y = 1/2
Is it correct?
Answer:
On the left side, there are two large weights of mass y and three small weights of mass 1. Represent this side with the expression 2y + 3.
On the right side, there are four large weights of mass y and two small weights of mass 1. Represent this side with the expression 4y + 2.
The scale is balanced, so there is equal weight on each side. We can describe the relationship between the weight on each side of the scale using the equation 2y + 3 = 4y + 2.
Step-by-step explanation:
Hey can somone help me please
Answer:
12.5 minutes
Step-by-step explanation:
52.5÷4.2=12.5 minutes
Answer:
12.5 minutes
Step-by-step explanation:
in a minute 4.2 liters of water come out and we have to find in how much time does 52.5 liters of water come out, since we have the value of water per minute we divide the amount of water by water per minute 52.5 divided by 4.2 equals 12.5, which gives us the answer. Hope this helps
Una secretaria puede hacer 3 escritos del mismo tamaño en 4 horas. Que tiempo le llevará realizar 5 trabajos de la misma longitud?
Answer:
Um I don’t know to to speak Spanish
Step-by-step explanation:
no se hablar espanol perdon
2x^3/3y equivalent expressions
A pet store has 15 dogs and 6 cats, which is a ratio of _____?
Answer:
5:2
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
15:6 or 5:2
Step-by-step explanation:
The number of dogs and cats can be simplified by dividing the two values by 3.
For the equation
y + 2 = 6(x - 5),
the line has a slope of 6 and contains what point?
Answer:
(5, -2)
Step-by-step explanation:
1. The equation "y + 2 = 6(x - 5)" is in the form of point-slope. Point slope form is [tex]y-y_1=m(x-x_1)[/tex] where y_1 = y-coordinate of point, m = slope, and x_1 = x-coordinate of point.
2. Given the information above, the point (5, -2) and slope of 6 makes the equation y + 2 = 6(x - 5) because:
[tex]y - y_1 = m(x-x_1)[/tex] [tex]y - (-2) = 6(x-5)[/tex] [tex]y + 2=6x-5[/tex]Therefore, the point is (5,-2).
If randomly guessing, the probability that a person can correctly guess your birthday (month and day) on the first try is 1365=0.0027. The probability that a person can correctly guess the birthday of two people in a row is (1365)2=0.0000075. You and a friend are out one night and you meet a magician who bets that she can randomly guess both of your birthdays on the first try.
QUESTION: If the magician does guess both of your birthdays, would you believe it was by pure chance, or would you believe that the magician knew your birthdays by some other means (whether that be magic, being a creepy stalker, etc.)? Explain.
Situation 2: Mark claims that his mean time for running a mile is 5.7 minutes and has a standard deviation of 0.2 minutes. This claim seems a bit fast and you want to put him to the test, so you make him run a mile. He runs the mile in 5.8 minutes, which is slower than his claim. However, if he is telling the truth, there is about a 0.31 probability, of having a time at least as high as 5.8 minutes.
Answer:
is it a random answer or are there options?
Step-by-step explanation:
What is the equation of a line perpendicular to y= -3x+4 that passes through (-1, 6)
Please solve and give answer
Answer:
y=-2x+2
Step-by-step explanation:
slope intercept formula: y=mx+b
if were finding the slope intercept form we need to take 4x to the other side making the equation:
2y=-4x+4
we cant have a coefficient with y so we divide the whole inequality by 2 to eliminate 2 making our answer:
y=-2x+2
PLEASE HELP IF YOU CAN ASAP PLEASE THIS IS ALGEBRA
1. What is the domain of the following points? (picture will be added
a) {-7, 3, 7} b) {-3, 3, 7} c) {-7, -3, 3, 7} d) {3,7}
2. What is the slope of the line through the points (-2, -1) and (4, 3)?
a) ⅖ b) 3/2 c) 5/2 d) ⅔
Answer:
1. (I need the picture for this one)
2. m=2/3 / Slope = 2/3
Step-by-step explanation:
A piece of wood is 12 feet long, and a nail is 3 inches long. The piece of wood is how many times as long as the nail?
Answer:
the piece of wood is 48 times as long as the nail.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
you take the length of the wood and divide it by the length of the nail, so 12 divided by 3 well you can also skip-count until you reach 12, regardless you get 4
Can someone help me with this
Answer:
The answer is 39.2
Step-by-step explanation:
The first thing you want to do is multiply both numbers by them selves like this: 9x8 and 4x8. Then after you do that, add the sum of those equations and you have your answer. Think about it like this, for 8x4, all it is is just 8+8+8+8. If solving it that way is easier for you, go for it! Hope I could help!
What’s the domain and range of the exponential growth function?
Answer:
Recall that the domain of a function is the set of input or x -values for which the function is defined, while the range is the set of all the output or y -values that the function takes. A simple exponential function like f ( x) = 2 x has as its domain the whole real line.
Step-by-step explanation:
okay na yan
? : 11 = 1/3 : 6
I need help
Answer:
11/18
Step-by-step explanation:
let n represent the number to be found
simplify the ratio on the right by multiplying both parts by 3
we now have
n/11 =11/18 ( cross-multiply )
18n = 11 ( divide both sides by 18 )
n = 11/18
For Pool A, the water level is dropping 2.5 inches per hour. For Pool B, the water level increases 2.5 inches per hour. Starting water levels are shown. Pool A: 60 inches Pool B: 20 inches When will the pools have the same water level? Write an equation and solve. Enter the correct answers in the boxes. Equation: h=what. The pools will have the same water level after hours. Σ
Answer:
8 hours
Step-by-step explanation:
60 - 2.5x = 20 + 2.5x
40 = 5x
8 = x
60 - (2.5 x 8) = 40
20 + (2.5 x 8) = 40
(hope this is ok)
find the derivative of (3x+1)(x+5)
Answer:
6x+16
Step-by-step explanation:
[tex]\frac{d}{dx} [(x+5)(3x+1)]\\=\frac{d}{dx} [x+5]*(3x+1)+(x+5)*\frac{d}{dx} [3x+1]\\=(\frac{d}{dx} [x]+\frac{d}{dx} [5])(3x+1)+(x+5)(3*\frac{d}{dx} [x]+\frac{d}{dx} [1])\\=(1+0)(3x+1)+(x+5)(3*1+0)\\=3(x+5)+3x+1\\Simplify/Rewrite\\=6x+16[/tex]
Jonas selects two numbers from this list and adds them for a sum of 392.03.
Which two numbers does he select? *put smallest decimal first
:: 174.97
:: 289.10
:: 217.06
:: 164.16
Maths Question here.
Please answer - for homework
10 points available.
Answer:
a)first 3 terms =5, 8,11
b) 10th term is 32
Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.
Answer:
Try this on for size.
Step-by-step explanation:
The image of quadrilateral ABCD translated as A'B'C'D' is given below.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
The translation does not change the shape and size of the geometry. But changes the location.
The image of quadrilateral ABCD translated as A'B'C'D' is given below.
The graph of the quadrilateral and its translated new quadrilateral is attached below.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ2
Graph the equation. y=−1/2(x−3)(x−7)
Answer:
x y
3 0
4 3
2 5
2 6
3 2
7 0
Step-by-step explanation:
simplify 8x+10x-5y+3+9y
Answer:
18x + 4y + 3
Step-by-step explanation:
8x + 10x - 5y + 3 + 9y(8x + 10x) + (-5y + 9y) + (3)18x + 4y + 3Therefore, the answer is 18x + 4y + 3.
Answer:
[tex]18x+4y+3[/tex]
Step-by-step explanation:
Add the like terms.
[tex]8x+10x=18x[/tex]
[tex]-5y+9y=4y[/tex]
⇒ [tex]18x + 4y+3[/tex]
Thus, the answer is [tex]18x + 4y + 3[/tex]
4.153) If the area of the shaded area in the drawing below is 56 inches square and the volume is 1400 inches cubed what is the height.
9514 1404 393
Answer:
25 inches
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
Filling in the given values, we have ...
1400 in³ = (56 in²)h
h = (1400 in³)/(56 in²) = 25 in . . . . . . divide by the coefficient of h
The height of the triangular prism is 25 inches.
Answer: The answer is 25 inches, I hope my answer is very helpful to your own question and have the rest of the day! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of the TDSB and WHCI Student of the high school.
Step-by-step explanation:
1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?
Step-by-step explanation:
[tex] \frac{85}{100} \times 15[/tex]
=12.75≈13
Find the value of x that makes m ∥ n.
Answer:
x = 60Step-by-step explanation:
Corresponding angles must be same to make the lines m and n parallel.
2x + 15 = 1352x = 120x = 60Answer:
x = 60
Step-by-step explanation:
1. First of all, we must know that these angles are corresponding. That means they're congruent in angle measures.
2. Given the information above, 2x + 15 = 135.
3. (Solving)
Step 1: Subtract 15 from both sides.
[tex]2x + 15 - 15 = 135 - 15[/tex] [tex]2x = 120[/tex]Step 2: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{120}{2}[/tex] [tex]x = 60[/tex]Step 3: Check if solution is correct.
[tex]2(60)+15=135[/tex] [tex]120 + 15 = 135[/tex] [tex]135 = 135[/tex]Therefore, x = 60.
What actions or steps in Excel can you take to rank them from 1st to 10thWhat actions or steps in Excel can you take to rank them from 1st to 10th
Answer:
i dont know sorry
Step-by-step explanation:
sorry hdhrhfjbdhehrhdve
Need answer on this one Please !!
Answer:
It should be [tex]\frac{3}{14}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}=\frac{7}{14}[/tex]
[tex]\frac{2}{7} =\frac{4}{14}[/tex]
[tex]\frac{4}{14}+ \frac{7}{14}=\frac{11}{14}[/tex]
(2+a+b)²
Include how you solved the problem
Answer:
=[tex]4+a^{2} +b^{2}[/tex]
Step-by-step explanation:
=[tex]2^{2} +a^{2} +b^{2}[/tex]
=[tex]4+a^{2} +b^{2}[/tex]