Answer:
P(E or F)=P(E)+P(F)=0.41+0.47=0.88
As per the probability of an event, the probability P(E or F) is 0.88, when E and F are mutually exclusive.
What is probability of an event?"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes how likely they are.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. "
Given, the probability of the event E is P(E) = 0.41
The probability of the event F is P(F) = 0.47
Now, the probability P(E or F) is
= P(E) + P(F)
= 0.41 + 0.47
= 0.88
Therefore, P(E or F) = 0.88
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(3y^2 – 4y + 1) +
(- y^2 + 4y – 3)
Answer:
2y^2-4y+2
Step-by-step explanation:
3y^2-4y+1-y^2+4-3
3y^2-y^2-4y+1+4-3
2y^2-4y+1+4-3
2y^2-4y+2
Subtract (8x + 6) − (x + 4).
I WILL BE MARKING BRAINLIST!
Answer:
7x+10
Step-by-step explanation:
match like terms
8x-x+6+4
7x+10
Answer:
[tex]7x+2[/tex]
Step-by-step explanation:
Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.
I'm going to show you one method. There might be another one, but this method will be useful later in algebra.
So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.
[tex](8x+6)-1(x+4)[/tex]
We'll simplify this now by removing the parentheses and distributing that -1.
[tex]8x+6-x-4[/tex]
Rearrange.
[tex]8x-x+6-4[/tex]
Combine like terms.
[tex]7x+2[/tex]
So, [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].
X=3y
Y=x+4
I have the answers. I just need help showing my work plz :)
Step-by-step explanation:
Given, x=3y and y=x+4
y=3y+4.... substituting x=3y
y-3y=4
-2y=4
y=-2
Then substitute -2 either in x=3y or y=x+4 equations
x=3(-2)
=-6
how do i do a coordinate plane
Answer:
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
Step-by-step explanation:
Help Please! I dont understand these questions!
Directions: Write the equation of the line in point-slope form, then convert that equation to slope-intercept form. Show your work!
1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).
2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).
3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).
4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).
The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.
1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2x + 4 ⇒ m₁ = 2 ⇒ m₂ = 2
(-4, -1) ⇒ x₁ = -4, y₁ = -1
point-slope form:
y - (-1) = 2(x - (-4))
y + 1 = 2(x + 4)
y + 1 = 2x + 8 {subtact 1 from both sides}
y = 2x + 7 ← slope-intercept form2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).
y = ⅓x - 3 ⇒ m₁ = ⅓ ⇒ m₂ = ⅓
(3, -1) ⇒ x₁ = 3, y₁ = -1
point-slope form:
y - (-1) = ⅓(x - 3)
y + 1 = ⅓x - 1 {subtact 1 from both sides}
y = ⅓x - 2 ← slope-intercept form
3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ¾x - 1 ⇒ m₁ = ¾
¾×m₂ = -1 ⇒ m₂ = -⁴/₃
(3, -3) ⇒ x₁ = 3, y₁ = -3
point-slope form:
y - (-3) = -⁴/₃(x - 3)
y + 3 = -⁴/₃x + 4 {subtact 3 from both sides}
y = -⁴/₃x + 1 ← slope-intercept form
4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).
y = - x - 5 ⇒ m₁ = -1
-1×m₂ = -1 ⇒ m₂ = 1
(7, 3) ⇒ x₁ = 7, y₁ = 3
point-slope form:
y - 3 = -1(x - 7)
y - 3 = - x + 7 {add 3 to both sides}
y = - x + 10 ← slope-intercept formwill mark brainliy
Solve the Equation for f: -2/3f-4=10 *
Answer:
F=-21
Step-by-step explanation:
M a t h w a y
Need help for extra credit please???
Answer:
what si the extra credit
If the maximum value of y =-x²+ax+b is 8 when x = 3, find the values of a and b
PLZ HELP ASAP!!!!! Show all work
Answer:
a) 198.7% interest
Not too sure about answer to (b)
b) 4.75% annualized
Step-by-step explanation:
a) i used Interest = Principal x Rate x Time
40 = 525 x [tex]\frac{14}{365}[/tex] x r
40 = 20.13r
r = 1.987 or 198.7%
b) i used this proportion: [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex] 'x' represents annualized rate
1/24 represents 2 weeks out of a year
1/24x = 1.98
x = 4.75%
help help help help help help help help!!!!
Answer:
c is the answer have a nice day
Step-by-step explanation:
A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge of the wall to the picture.
Which of the following logarithms do not exist?
a) logarithms with fractional bases
b) logarithms of negative numbers
c) logarithms that equal zero
d) logarithms of irrational numbers
Answer:
B. logarithms of negative number don't exist
Answer:
B. logarithms of negative number
Step-by-step explanation:
Help pleasee! Thank uu
Answer:
The answer is the 2nd option
Step-by-step explanation:
I need help please!
Answer:
Yes
Step-by-step explanation:
1/4+1/4+1/4=3/4 can also be written as
3*1/4
The class sizes of the Introductory Psychology courses at a college are shown below.
121, 134, 106, 93, 149, 130, 119, 128
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and
spread of the class sizes of the Introductory Psychology courses at the college?
OA. The value of the center decreases and the distribution has a smaller spread.
O B. The value of the center increases and the distribution has a larger spread.
OC. The value of the center increases and the distribution has a smaller spread.
OD. The value of the center decreases and the distribution has a larger spread.
Answer:
pic of question
Step-by-step explanation:
option D) The value of the center decreases and the distribution has a larger spread.
What is the mean of a distribution?Mean is the measure of the central tendency or the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Given here the distribution as 121, 134, 106, 93, 149, 130, 119, 128
therefore their mean is = (121+134+106+ 93+ 149+ 130+ 119+ 128)/8
= 122.5
Again after the new course was added the new mean is
= (121+134+106+ 93+ 149+ 130+ 119+ 128+45)/9
= 113.88
Hence clearly the mean has decreased and the distribution has a larger spread.
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Marta earns 12.50 from babysitting and, and then spends some of her earnings on a new book. She has 8.00 of her earrings left. Write and solve an equation to find the cost of the book. And answer the questions above
Answer:
$12.50 - $8:00 = ? , ? = $4.50
Step-by-step explanation:
$12.50 earned from babysitting
Spends some on a new book
$8.00 left
12.50 - 8.00
0-0= 0 , 5- 0 = 5 , 12-8 = 4,
Reverse ur answer and add a dot (.) between 4 and 50
Answer: $4.50, $12.50 - $8:00 = ? , ? = $4.50
The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)
Answer:
$162.50
Step-by-step explanation:
this is because 30°/• of 125 us 37.5 then if you add that you get 162.50
Answer:
aaaaaaaa
Step-by-step explanation:
EXPAND:
(p-2p)^3
Plz answer.
Answer:
-p^3
Step-by-step explanation:
( p - 2 p ) ^ 3
combine p and 2p to get -p
》expand (-p)^3
》(-1)^3p^3
calculate -1 to the power of 3 and get -1
and this equals -p^3
please help me as soon as possible! :)
Answer:
-8,-7,-5,-3,-2
-80,-40,20,60
Step-by-step explanation:
What is the period of the graph of y = 5 sin (4 pi x) + 3?
A. 5
B. 1/2
C. 4pi
D. 3
How much is 75% of 10 liters of milk?
Answer:
1. 75% of 10 liters of milk = 0.75 * 10 liters of milk = 7.5 liters of milk
2. To find 75% of a number, multiply the number by 0.75.
Answer by mathstudent55 give credit to him/her
Answer 7.5
Step-by-step explanation:
You can find this by dividing the number by 10, for example let’s use the number 20.
you would divide 20 by 10 which is 2 and times it by 7.
This is 14.
By finding this you have found 70% of 20.
now to find 5%, i would divide 20 by 10 once again which is 2 and then i would divide it by 2 which is 1.
then you would add the 2 numbers so 14+1 to get 15 therefore 75%of 20=15
A recipe for punch calls for 5 parts grape soda to 2 part seltzer. If hector has 10 cups of of grape soda, how much seltzer does he need?
Answer:
assuming 10 cups it 10 parts then the answer is 4 cups of seltzer
Jacob invests $6,047 in a retirement account with a fixed annual interest rate of 8% compounded continuously. What will the account balance be after 15 years?
A) $20,076.75
B) $17,280.22
C) $18,533.17
D) $21,640.41
8s-3x+4k= what is the answer
Answer:
K= -2s + 0.75x is answer
Step-by-step explanation:
I hope it's helpful!
Answer:
v
Step-by-step explanation:
5+5+5+5+5+5+5+5+5+5+11111111111111111111111122222222222222222222222333333333333333333333333333334444444444444444444444444455555555555555555555555555666666666666666666666666666666677777777777777777777777777788888888888888888888888888888889999999999999999999999999999991111111111111111111111111111111100000000000000000000000000000000000
Answer:
w t f
Step-by-step explanation:
Answer: Its kinda confusing lol
Step-by-step explanation:
I would help but I dont get it sorry
The image below is an example of what construction?
Answer:
a regular hexagon
Step-by-step explanation:
6 corners
The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
Answer:
14.94 degrees higher
Step-by-step explanation:
all you gotta do is find the difference, -49.62 minus -34.68, i suggest a calculator for things that are more difficult to do in your head
HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.
y = 3x + 2
-4x + 4y = 16
In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.
x-coordinate:
y-coordinate:
Answer: X = 1
Y= 5
Step-by-step explanation:
Plug in y = 3x + 2 in the Y coordinate to find X
-4x + 4(3x + 2) = 16
Now you can solve for X
X = 1
Then plug in 1 in the X coordinate to find Y
-4(1)+ 4y= 16
Now you can solve for Y
Y= 5
YOUR WELCOME
Which is more, 1 pint or 16 fluid ounces?
Answer:
they are the same
Step-by-step explanation:
Answer:
there the same I think. sorry if its wrong
If Rectangle A has a length of 4 and a width of 2 and Rectangle B has a length of 16 and a width of 8 what would the scale factor be from A to B
Answer:
4
Step-by-step explanation:
To know the scale factor here, just know that 16/4 = 4, and 8/2 = 4 too, so the scale factor is 4.
Just that the respective sides need to have the same ratio.
Note, if it was from B to A, it'd be 1/4.
Answer:
I took the test the answer isnt 4 its 7 hes wrong
Step-by-step explanation:
glad to help :)