The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Given that
probability for event A, P(A) = 0.3. probability for event B, P(B) = 0.6.the probability of events A or B, P(A or B) = 0.8.For mutually exclusive events, P(A) + P(B) = P(A or B).
So, P(A) + P(B) = 0.3 + 0.6 = 0.9
P(A or B) = 0.8
Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8
The events are not mutually exclusive.
So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Learn more about mutually exclusive events here:
https://brainly.com/question/14660720
Answer:
C
Step-by-step explanation:
I need help with this solve
Answer:
the answer is 64%
Step-by-step explanation:
80/125 = 64
Solve for x. 3x+11=9x-14
Answer:
x=25/6
Step-by-step explanation:
3x+11=9x-14
11=6x-14
25=6x
x=25/6
Answer:
[tex]x=\cfrac{25}{6}[/tex]
or
[tex]x=4.16[/tex]
Step-by-step explanation:
[tex]3x+11=9x-14[/tex]
[tex]3x+11-11=9x-14-11[/tex]
[tex]3x=9x-25[/tex]
[tex]3x-9x=9x-25-9x[/tex]
[tex]-6x=-25[/tex]
[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]
[tex]x=\cfrac{25}{6}[/tex]
Have a good day!
Given that (-5,-6) is on the graph of f(x), find the corresponding point for this function -1/3f(x).
Explanation:
We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.
QUESTION 22 PLEASE HELP ME!!!!
Answer:
the answer is infinite
Step-by-step explanation:
would u like me to explain?
48a^21 b^5
——————-
16a^21 b^4
Answer:
3b
Step-by-step explanation:
pls help me
I am giving brainliest
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Answer:
50 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
400 miles / 8 gallons
50 miles per gallon
Answer:
50 miles
Step-by-step explanation:
if for each 8 gallons it can go to 400 miles
so the 8 will be divided to 8 and get 1
and also divide the 400 into 8 you will get 50 miles per 1 gallon
Which of the following is the figure most likely the graph of?
A) f(x) = (2/3)x
B)f(x) = –2x
C)f(x) = (3/2)x
D)f(x) = 2x
The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A = (0,1)
B = (1,-1)
C = (-1,-1)
Step-by-step explanation:
If this helped leave a brainliest
Don’t know where to start
Answer:
A = 80π
Step-by-step explanation:
Area of a circle is A = πr²
Area of the the largest circle - Area of the smaller circle = the shaded part.
Largest circle - Area of the smaller circle = Shaded part of circle
A = π(12)² - A = π(8)²
144π - 64π = 80π
Calculator
6 mm
What is the area of this figure?
6 mm
Enter your answer in the box.
8 mm
8 mm
mm
Answer:
[tex] {84mm}^{2} [/tex]
Step-by-step explanation:
Area of square= l×l
Area of square= 6mm × 6mn
Area if square = 36 mm²
Area of triangle 1= ½b ×h
Area of triangle 1= ½ (6mm)(8mm)
Area of triangle 1 = 24 mm²
Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight
: . area of triangles is 48mm²
Area of the figure= Area of square + Area of triangles
A of figure = 36+48
A of figure = 84 mm²
Option 2
Use trapezium formula
Area of trapezium= (a+b)/2 * h
a=6 mm (base)
b=8+6=14 mm (Base)
h= 6mm (height)
[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]
Therefore the area of triangle= 24mm² as calculated in option 1
Area of the figure= Area of trapezium +Area of triangle
Area of figure = 60+24
= 84 mm²
•(5,25) •(4,16) •(3,9) •(2,4) •(1,1) The sequence is arithmetic because the terms have a common difference.
The sequence is arithmetic because the terms do not have a common difference.
The sequence is not arithmetic because the terms have a common difference.
The sequence is not arithmetic because the terms do not have a common difference.
Answer:
3. The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation:
These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:
1, 4, 9, 16, 25
The 3 answers are:
The sequence is arithmetic because the terms do not have a common difference.The sequence is not arithmetic because the terms have a common difference.The sequence is not arithmetic because the terms do not have a common difference.First, look at the difference between each of the terms.
[tex]4-1=3\\9-4=5\\16-9=7[/tex]
Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.
Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.
Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=
물
...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)
Using the binomial distribution, it is found that:
a)
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].Item a:
[tex]E(X) = np = 40(0.3) = 12[/tex]
[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]
Hence:
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.Item b:
The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, one success, hence [tex]q = 1[/tex] and:
[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]
They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
6) Solve
5x < -10
AX <-2
B) x>-2
CXC-15
D) x < -50
Hey there!
5x < -10
DIVIDE 5 to BOTH SIDES
5x/5 < -10/5
CANCEL out: 5/5 because it gives you 1
KEEP: -10/5 because it helps solve for the x-value
NEW EQUATION: x < -10/5
SIMPLIFY IT!
x < -2
It is an OPEN circle shaded to the RIGHT
Therefore, your answer should be:
Option A. x < -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
[tex] \frac{vw}{gf} = \frac{uv}{hg} [/tex]
[tex] \frac{72}{132} = \frac{6x + 12}{143} [/tex]
[tex] \frac{6}{11} = \frac{6x + 12}{143} [/tex]
Now we cross multiply
6×143=11(6x+12)
858=66x+132
858-132=66x
726=66x
x=11
How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer:
Explained below :)
I tried my best to explain, sorry if it doesn't make sense
Step-by-step explanation:
Example problem: 11/4 (Mixed number)
1: 11 divided by 4 = 2 (whole number) with a remainder of 3
( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)
2: Take the remainder and put it over the denominator 3/4
3: Whole number beside the remainder over the denominator
Your answer would be 2 3/4
I don’t understand this if someone can explain I got 13
Answer:
m = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x + 4 ← is in slope- intercept form
with slope m = - 9
Which equation describes the line shown in the graph?
Answer:
D
Step-by-step explanation:
:)
answer both pls help fast
Answer:
Answers given in the photo
Grandma Maude wanted a tall cake for her 80th birthday. The baker made a cake with 4x3 – x layers. Each layer was 2 + 3x2 cm. Which expression shows the total height of Grandma Maude’s cake?
Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:
[tex]t = 12x^5 + 5x^3 - 2x[/tex]
This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.The rule of three is:
1 layer - [tex]2 + 3x^2[/tex] cm
[tex]4x^3 - x[/tex] layers - t cm
Applying cross multiplication:
[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:
12x5 + 5x3 – 2x cm
Step-by-step explanation:
help plsssssssssssssss
Answer:step 2
Step-by-step explanation:
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?
Answer:
3 bags
Step-by-step explanation:
add 15 x 15 x 15 and you should have enough bags
Help help help math math math
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
1 1/5- 1/3
AS FRACTION
Answer:
-2/15
this should work
Step-by-step explanation:
Answer:
13/15
Step-by-step explanation:
1 1/5 - 1/3 =
= 1 + 1/5 - 1/3
= 5/5 + 1/5 - 1/3
= 6/5 - 1/3
= 18/15 - 5/15
= 13/15
(Quick Please) 8x - 4 < -36 solve the equality show your work
Answer is -4
Step-by-step explanation:
8x-4< -36
8x < -36+4 (move [- 4] to the other side to find x)
8x < -32
8x < -4
Answer:
x < -4
Step-by-step explanation:
8x - 4 < -36
+4 +4 (Add 4 on both sides)
8x < -32
/8 /8 (Divide by 8 on both sides)
x < -4
the perimeter of a square is 44 cm find the area
Answer:
The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].
Step-by-step explanation:
If you sleep 30% of the day. how many hours did you sleep?
answer fast please
Answer:
7.2 hours
Step-by-step explanation:
24 · 0.3 = 7.2
Serena is driving to the mountains for a summer
camping trip. She is traveling at a constant rate of 45
miles per hour. The graph shows the ratio time:
distance. How far has Serena traveled after 4 hours?