Answer:
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
No
No
Step-by-step explanation:
Given :
Sample, size n = 500
A = driver is under the influence of alcohol :
Y = driver is less than 30 years old
P(A) = 275 / 500 = 0.55
P(Y) = 375 / 500 = 0.75
P(AnY) = 225 / 500 = 0.45
P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
To determine if it is mutually exclusive : P(AnY) = 0
P(AnY) = 0.45 ; hence, it is not mutually exclusive
For A and Y to be independent ; P(A|Y) = P(A) ;
P(A|Y) = P(AnY) / P(Y)
P(A|Y) = 0.45 / 0.75 = 0.6
Hence, A and Y are not independent.
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answer:
d. distributive property
Step-by-step explanation:
ok soo i am having trouble with this question lol what is 0 divided by 0
Answer:
0 because 0 is 0 and divided it's 0
help please i’ll give extra points & brainlist:)!
Triangle Theorems I need helpppp
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
What is the input value for which g(x) = 3 khan academy
Answer:
x = 9
Step-by-step explanation:
If g(x) = 3, that means that the output is three.
Outputs are y values.
Look at the graph. When y=3, the x = 9.
So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9
Jada was at the state fair from 8:45 am until 11:00 am. How much time did Jada spend at the state fair?
Answer:
Jada spent 3 hours and 15 minutes at the state fair.
Step-by-step explanation:
She started at 8:45 am and left at 11:00 am.
So 8:45 to 9 is 15 minutes.
So how far away is 9 am to 11 am?
11 - 9 = 3
3 hour difference
But remember to add the 15 minutes from the 8:45 to 9
Jada spent 3 hours and 15 minutes at the state fair.
Two cars start towards each other from points 200 miles apart. One car travels at 40 miles
per hours and the other travel at 35 miles an hour. How far apart will the two cars be after
four hours of continuous travelling?
(a) 20
(b) 40
(c) 75
(d) 100
Answer:
D) 100
Step-by-step explanation:
Solution: After four hours, one car travels 40 x 4 = 160 km, and the other car travels 35 x 4 = 140 km. Therefore, the two cars are 160 + 140 - 200 = 100 km apart
THANK YOU
Will mark Brainliest! What is the value of P. Thank you!
Answer:
question of number 10 is 3
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?
Step-by-step explanation:
Please help me answer this
9514 1404 393
Answer:
a) zeros: -2/3, 6
b) x < -2/3, signs: -, -; sign of product: +
-2/3 < x < 6, signs: +, -; sign of product: -
x > 6, signs: + +; sign of product: +
c) solution: x < -2/3 ∪ x > 6
Step-by-step explanation:
a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)
3x +2 = 0 ⇒ x = -2/3
x -6 = 0 ⇒ x = 6
The zeros of the quadratic are x = -2/3 and x = 6.
__
b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.
__
c) The solution is where the signs of the factors match:
x < -2/3 or -6 < x
2X^2 - 9x + 10 . solve by factoring area model (show work)
Step-by-step explanation:
2x²_4x_5x+10
2x(x-2)-5(x-2)
(2x-5)(x-2)
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots
Answer:
Discriminant = -24, no real roots.
Step-by-step explanation:
The discriminant is what's inside the square root in the quadratic formula.
The quadratic formula is:
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1
b = 2
c = 7
The question wants the discriminate, we can just focus on the square root part.
When we plug in the parts we got, it becomes:
[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]
Since the inside of the square root is negative, there are no real roots.
The ratio of blue paint to yellow paint in a green paint mixture is 2 : 3. If you use 16 ounces of blue paint, how many ounces of yellow paint do you need. Include tape diagram
Answer:
24ounces
Step-by-step explanation:
16 ounces is 2x 8
8=1:1 ratio
8x3=24
2:3 = 16:24
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
HELP what's the distance for this question?
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
does anyone know the answer to this? 5x-(4+3x)
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
Please someone help me with the question
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Calculus
Derivatives
Derivative Notation
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^x] = e^x[/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x \cdot e^x][/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x \cdot e^{2x}][/tex]
Step 2: Differentiate
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x]e^x + e^x\frac{d}{dx}[e^x][/tex][Derivative] eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^x \cdot e^x + e^x \cdot e^x[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^{2x} + e^{2x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex][tex]\displaystyle \frac{d}{dx}[e^{3x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x]e^{2x} + e^x\frac{d}{dx}[e^{2x}][/tex][Derivative] eˣ Derivatives: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^x(e^{2x}) + e^x(2e^{2x})[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^{3x} + 2e^{3x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
If v = u + 3t find v when u = −12 and t = 3
1. -3
2. -2
3. 8
4. -4
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
It depends on the number of charms that your bracelet can have.
here we need to count the number of selections that we have, and the number of options for each one of these selections.
So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.
If each bracelet can have 2 charms then we have two selections.
For the first selection, we have 9 options,
If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:
C = 9*8 = 72
If we can select 3 charms, then:
first charm = 9 options
second charm = 8 options
third charm = 7 options
Total number of combinations = 9*8*7 = 504 combinations.
Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.
Peggy took a timed 30
question test. She answered
60% of the questions and
skipped the rest. How many
did she answer?
Answer: 18 questions
Step-by-step explanation:
First we want to make 60% a decimal so we divide by 100.
This gives us 0.6
Then we multiply 30*0.6=18
18 questions
Which of the following ordered pairs would lie on the same line of direct variation as (16,4)? Select all correct answers.
Answer:
FFFFF
Step-by-step explanation:
FFFFFFFFF
Answer:
Not sure, sorry
Step-by-step explanation:
What is 12 1/2 - 7 6/7?
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
Divide the given polynomial by the given monomial.
Answer:
Here are the answers. Need to have 20 characters for answer. Phew
At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8
late-arriving guests were seated at a smaller table. There were 128 guests in all. If n represents the
number of people seated at each of the large tables, what equation could you use to find the value
of n?
A. 12n - 8 = 128
B. 12n +8 = 128
C. 8n + 12 = 128
D. 8n - 12 = 128