Answer:
Step-by-step explanation:
a.
let A= number 5
B=number >3
P(A)=1/6 {5}
P(B)=3/6 {4,5,6}
p(A∩B)=1/6 {5}
P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2
b.
let event C=number<5
D=even number
C=[1,2,3,4}
D={2,4,6}
C∩D={2,4}
P(C)=4/6
P(D)=3/6
P(C∩D)=2/6
P(C∪D)=P(C)+P(D)-P(C∩D)=4/6+3/6-2/6=5/6
c.
let event E=number 2
F= an odd number.
E={2}
F={1,3,5}
E∩F={}
P(E)=1/6
P(F)=3/6
P(E∩F)=0
P(E∪F)=P(E)+P(F)-P(E∩F)=1/6+3/6-0=4/6=2/3
Find the slope of the line that passes through the points (3, 2) and (-2,-2). 0-4 4/5 5/4
Answer:
Step-by-step explanation:
What is the simplified form of (2b2 – 6) + (4b + 7) – (b2 + 5b – 3)?
Answer:
b2−b+4
Step-by-step explanation:
Write the problem as a mathematical expression.
(2b2−6)+(4b+7)−(b2+5b−3)(2b2-6)+(4b+7)-(b2+5b-3)
Remove parentheses.
2b2−6+4b+7−(b2+5b−3)2b2-6+4b+7-(b2+5b-3)
Simplify each term.
2b2−6+4b+7−b2−5b+32b2-6+4b+7-b2-5b+3
Simplify by adding terms.
b2−b+4
NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees
Answer:
y=5.44
Step-by-step explanation:
47+16y=134 subtract 47 from both sides
16y=87
y=5.44
Describe what shape and axis of rotation are
required to generate a: Cone, Cylinder and sphere?
2x+4 translation 7 units left
Answer: (-5,4)
Step-by-step explanation:
I’m not quite good at explaining but I think my answer might be right not sure
Answer:
(2x+7)+4
Step-by-step explanation:
Anytime it says number of units left is a +7.
And it goes in the parentheses or absolute
One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
Answer:
20 seconds
Step-by-step explanation:
Alarm 1 = every 10 seconds
Alarm 2 = every 5 seconds
Alarm 3 = every 4 seconds
If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm
Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,
Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds
Therefore, they will all sound at the same time again in the next 20 seconds
What is the domain of the absolute value f(x) equals -.5 |X -2|-4
Answer:
Domain: All Real Numbers or (-∞, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that any value of x can be plugged into the function.
∴ Our answer is all real numbers
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?
Answer:
12
Step-by-step explanation:
There are 2 yellow out of 10.
2/10 = 1/5
1/5 of the total number is yellow.
1/5 of 60 =
= 1/5 * 60
= 12
Answer: 12
Enter the value 15+(-29)-15-29
Answer:
-58
Step-by-step explanation:
Answer:-58
Step-by-step explanation:
Idk how to do this. Please help?
Answer:
Is that algebra??
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
1. Distance = √((√5)^2 + (-1)^2)
= √(5 + 1)
= √6.
2. √(1^1 + (-2)^2)
= √5.
3. √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5.
4. √(6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10.
Which inequality is shown in the graph?
Please help me the question is on the file ;-;
Answer:
D) 3x + 15 ≥ 300
Step-by-step explanation:
The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.
Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:
(3) * (x + 5) = Area of rectangle.
Distribute the 3 to all terms:
3(x + 5) = 3x + 15 = Area of rectangle.
Put the two parts together:
3x + 15 ≥ 300.
~
Answer:
The last answer.
Step-by-step explanation:
The area of a rectangle is
Area=(width)*(length)
If we substitute the 2 given values into the formula we will get
Area= 3(x+5)
=3x+15
Since it's asking that it has to be "at least 300", it's saying that the equation has to be 300 or more.
3x+15>(less than or equal to) 300.
I NEED HELP 11POINTS
Casey has a small business making and selling dessert baskets. She estimates that her
fixed weekly costs to bake the items is $100. She sells each dessert basket for $12.
How much would her monthly profit be for x amount of dessert baskets?
Answer:
500=2.5x+200
x=the amount of desserts.
500-200=2.5x
300=2.5x
x=120
Step-by-step explanation:
Today the temperature is 0 degrees Fahrenheit. The temperature rose
11 degrees Fahrenheit from yesterday's temperature.
What was yesterday's temperature?
Answer: -11 degrees Fahrenheit
Step-by-step explanation:
Which of the following equations has a graph with a y-intercept of -8?
Ay=3x - 8
B. y = -8x + 3
C. 3x - 8y = -5
D. -8x + 3y = -5
The equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
To determine which of the given equations has a graph with a y-intercept of -8.
We will compare the equations with the slope-intercept form of the equation of a straight line.
The slope-intercept form of the equation of a straight line is
y = mx + c
Where m is the gradient or slope
and c is the y-intercept
For A. y =3x - 8By comparing with y = mx + c
m = 3 and c = -8
∴ The y-intercept here is -8
For B. y = -8x + 3By comparing with y = mx + c
m = -8 and c = 3
∴ The y-intercept here is 3
For C. 3x - 8y = -5This can be written as
y = (3/8)x + 5/8
By comparing with y = mx + c
m = 3/8 and c = 5/8
∴ The y-intercept here is 5/8
D. -8x + 3y = -5This can be written as
y = (8/3)x - 5/3
By comparing with y = mx + c
m = 8/3 and c = - 5/3
∴ The y-intercept here is -5/3
Hence, the equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
Learn more here:https://brainly.com/question/1280589
(-5)+(+7)=( ____) ???
Answer: 2
Step-by-step explanation:
How do you figure this equation out?
4r + 7 = 35
Answer:
r = 7
Step-by-step explanation:
Step 1: Write out equation
4r + 7 = 35
Step 2: Subtract 7 on both sides
4r + 7 - 7 = 35 - 7
4r = 28
Step 3: Divide both sides by 4
4r/4 = 28/4
r = 7
Solve 4r+7=35
4r=35-7
4r=28
r=7
:)
Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]
Answer:
15
Step-by-step explanation:
The product of the prime factors of 3375 are
3375 = 3³ × 5³, then
[tex]\sqrt[3]{3375}[/tex]
= [tex]\sqrt[3]{3^3(5^3)}[/tex]
= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]
= 3 × 5
= 15
What is the answer to this?
Answer:
C.) [tex]A=12x-20[/tex]
Step-by-step explanation:
The area formula:
[tex]A=l*w[/tex]
Insert the values:
[tex]A=4*(3x-5)[/tex]
Use the distributive property:
[tex]A=4(3x)+4(-5)\\\\A=12x-20[/tex]
:Done
What is the difference between the absolute value of -8 and the absolute value of 6?
O 2
O 8
O 14
0.16
Answer:
2
Step-by-step explanation:
Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can
do 8-6=2.
NEED HELP!!
Which is a valid proportion?
please help me answer this i need asap
Answer:24 xexponet 3 − 5
Step-by-step explanation:
A rectangular trampoline has an area of 187 square feet. The length of the trampoline is
What is its width? (Include the units)
O 11 feet
O 153 feet
17 feet
160 feet
Answer:
Its 17 feet and 11 units
Step-by-step explanation:
Find the x- and y- intercepts of the linear equation y=x+5 x-intercept=? y-intercept=?
Round 4,368 to the nearest ten.
Answer:
4370
Step-by-step explanation:
Answer:
4,370.0
Step-by-step explanation:
It says to solve for z, but don’t know how to.
Z-7x(-2)=-6
Answer:
z = - 6 - 14x
Step-by-step explanation:
Given
z - 7x(- 2) = - 6 , that is
z + 14x = - 6 ( subtract 14x from both sides )
z = - 6 - 14x
A boat traveled 70 miles in 5 hours.how far did the boat travel in one hour
Answer: 14 miles
Step-by-step explanation:
70/5 = 14
June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?
URGENT!!! Please help
Answer:
The 3rd answer i think
Step-by-step explanation:
I would seriously appreciate if u helped me TvT
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5+(x-2)=-8[/tex]
Let's subtract 5 from both sides:
[tex](5+(x-2))-5=(-8)-5[/tex]
The left side will cancel. Subtract on the right:
[tex]x-2=-13[/tex]
Now, add 2 to both sides:
[tex](x-2)+2=(-13)+2[/tex]
Again, the left side will cancel. Add the right:
[tex]x=-11[/tex]
And we're done!
Answer:
it should be x=5
Step-by-step explanation:
5+(x-2)= -8
3+x=8
-3 -3
answer is x=5