Answer:
12 hours
Step-by-step explanation:
In 1 hour jack mows 1/4 of the lawn
Together they mow half a lawn in 1.5 hours
Which is a whole lawn in 3 hours
in one hour together they mow 1/3 of the lawn
It takes Jill x hours to mow the lawn
in one hour Jill mows 1/x of the lawn
Working together in one hour
jack + jill = together
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
12 = x
It takes Jill 12 hours to mow the lawn
The number of minutes that it would have taken for Jill to mow the entire lawn alone is 12 hours or 720 minutes.
From the information given, it will takes Jill x hours to mow the lawn. Therefore, in one hour Jill mows 1/x of the lawn
Therefore, the equation to solve the question will be:
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
x = 12
Therefore, it takes Jill 12 hours to mow the lawn.
Learn more about equations on:
https://brainly.com/question/2972832
|x+4|=6 please help but give me an answer other than 2
Answer: -10 (or 2)
Step-by-step explanation: Absolute value gets rid of the negative so you can solve it with a positive or negative number as long as the interger still has the same value. (|-2|=2 and |+2|=2) so |-10+4|=6
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
x + 5 ≤ 13 what's the answer for this question?
Answer:
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
Step-by-step explanation:
x + 5 ≤ 13
Subtract 5 on both sides...
13 - 5 = 8
You're left with x ≤ 8
Inequality Form: x ≤ 8
Interval Notation: (-∞,8]
The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement
Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
PLEASE HELP ME, LIKE ACTUALLY! The sum of two numbers is 193. One of them in 71 more than the other. Find the larger of these two numbers
Answer:
132
Step-by-step explanation:
X is smaller number
x + 71 is larger number.
x+ (x+71)=193
2x = 193-71
2x=122
x=61
x+71=largest number
61+71=132 largest numher
check answer
x+(x+71)=193
61+132=193
Answer:
The larger of the two numbers is 132.
Step-by-step explanation:
let x be the larger number and y be the smaller number.
x + y = 193 [Equatio#1]
x = y +71 [Equation#2]
substitute x from equation #2 into equation # 1:
(y+71) + y = 193
2y = 193 - 71
2y = 122
y = 61
substitute this value of y back into equation #2 to solve for x:
x = (61)+71
x= 132
the larger number is 132.
greg made the dart board shown.it is divided into equal sedtions
Answer:
the answer is 20 percent
Answer:
the answer is 20 percent
A total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?
The number of adult tickets sold will be 275.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets.
Assume that the number of adult tickets sold are [x] and the student tickets sold are [y]. Then -
x + y = 494
y = x - 56
So, we can write the equation as -
x + x - 56 = 494
2x = 550
x = 275
Then, we can find [y] as -
y = 275 - 56 = 219
y = 219
Therefore, the number of adult tickets sold will be 275.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
The table slow shows Larry's scores on 6 different math tests. What is Larry's mean score on the 6 tests?
Test: 1 2 3 4 5 6
Score: 88 78 76 86 92 96
Answer:
86
Step-by-step explanation:
I WILL GIFT YOU 30 Brainly (On Jesus)
Answer:
since highest degree is 2 the degree of a polynomial is also 2.
since the highest exponent is 2 the leading coefficient is 1.
Step-by-step explanation:
A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?
Answer:
Step 2
Step-by-step explanation:
Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.
The answers in step 3 should have been -6 and 2.
Original price of a book 18.50 discount 45%
Answer:
18.5-45%=10.175 Hope this helped! :)
joe mama is obama
Step-by-step explanation:
which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2
Answer:
The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.
Step-by-step explanation:
Please help very urgent
Answer:
1) A={0,2,4,12,14,20}
2) 6
3) W={1,3,5,9,21,23,39}
4) 7
write each improper fraction as a mix numbet 19/4
Answer:
4 3/4
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP What is the measure of
T
175°
H
57°
F
Answer:
m<G = 59°
Step-by-step explanation:
Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs
m<G = ½(arc TE - arc HF)
m<G = ½(175 - 57)
m<G = ½(118)
m<G = 59°
6. A vertex is a point where _____ or more edges meet.
Answer:
2
Step-by-step explanation:
Evaluate sin^2 θ for θ = 45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then
sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]
What is the perimeter and area of this????? Please help fast
Hi there!
[tex]\large\boxed{\text{ P = 31ft, A = 35ft}^2}[/tex]
Perimeter: Add up all the side lengths.
14 + 10 + 7 = 31 ft.
Area: Use the following formula:
A = 1/2(bh) where:
b = bass
h = height
Thus:
A = 1/2(10 · 7) = 35 ft²
Which equations can be used to determine the area of the irregular figure?
Answer:
the first option put I'm not 100% sure so if I get it wrong I apologize
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
A.
28 feet
B.
-52 feet
C.
-28 feet
D.
52 feet
Answer:
The answer is D.
Step-by-step explanation:
It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.
An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices
Answer: Hello your question lacks the required options but I will provide a more general answer
answer : Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group
Step-by-step explanation:
The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.
Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group
What is the perimeter of the parallelograrn?
Factor the algebraic expression (x - 1)2
- (y - 2)2
Answer:
2(x-y+1) Is The Awnser
Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit.
Help
hi I love you wibsiwb
What is the ratio of 4 and 120
Answer:
1 : 30 or
[tex] \frac{1}{30} [/tex]
................................................
Answer:
1: 30
Step-by-step explanation:
Simplify c^3d^4/c^2d
Answer:
I think the answer is :-
[tex]c {d}^{3} [/tex]
The simplification of c^3d^4/c^2d is cd^3.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
For the given situation,
The expression is c^3d^4/c^2d.
The simplification is as
⇒ [tex]\frac{c^{3}d^{4} }{c^{2}d }[/tex]
⇒ [tex]\frac{(c^{2})( c)(d^{3} )(d)}{c^{2} d}[/tex]
⇒ [tex]cd^{3}[/tex]
Hence we can conclude that the simplification of c^3d^4/c^2d is cd^3.
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ2
Please help on number one I’ve been so stuck
Answer/Step-by-step explanation:
Ok so x,y. is the first thing you need to know A. 1, -5 = X, -Y.
the number from the x grid goes before the y see the arrows seperating the squares the vertical line is the X any numbers coming off of x go before y ok, x, y.
See the -5, -5 on the bottom right square both of those are negative and since E. is negative (-2, -2) it gets placed in the negative bottom right square ok.
now you see how for some squares there is only 1 number for them well the number on the other side where there is no number is the number. In the top right square there is only 5 on the y line meaning that if u look beyond that and where the other number suppose to be the -5 is there so -5 is the answer for that ok.
(The 0 in the middle is called the "Origin")
Hope this helps! I didn't exactly answer because there's no way to answer without downloading or submitting an image but it wont let me download it for some reason.
Top right square = -5, 5.
C. goes into the top right square
Top left = 5, 5.
B. goes into the top left square
Bottom right square = -5, -5.
E. gets placed in the bottom right square
Bottom left square = 5, -5.
D. gets placed in the bottom left square
A. gets placed in the bottom left square
~ LadyBrain
The constraints of a problem are listed below. What are the vertices of the feasible region?
X+y<_5
y<_3
X>_0
y>_0
Answer:
(0, 0), (0, 3), (2, 3), and (5, 0)
Step-by-step explanation:
The constraints of the problem are:
x + y ≤ 5
y ≤ 3
x ≥ 0
y ≥ 0
Then:
Using the second and fourth inequalities we can write:
0 ≤ y ≤ 3
Knowing that the minimum value of y is 0, then if we replace that in the first equation we get:
x + 0 ≤ 5
x ≤ 5
While for the maximum value of y, y = 3, this inequality becomes:
x + 3 ≤ 5
x ≤ 2
Now, the vertexes are the points where both variables take one of their extremes.
Then, we have a vertex at (0, 0) because we have:
x ≥ 0
y ≥ 0
So this is the vertex when both x and y take the minimum value.
When y takes the maximum value y = 3, and x takes the minimum value x = 0, we have the vertex:
(0, 3)
When y takes the maximum value, y = 3, and x takes the maximum value, x = 2, we have the vertex:
(2, 3)
When y takes the minimum value, y = 0, and x takes the maximum value, x = 5, we have the vertex:
(5, 0)
Then the four vertexes are:
(0, 0), (0, 3), (2, 3), and (5, 0)
evaluate : (-2)^5 × (-2)^-8 ( do as director )
Can someone tell e where to plot this? (PLEASE NO FILE ANSWER). !!!
Step-by-step explanation:
x<5
This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)