Mary purchased 20oz of peanut butter for $2.79. Calculate the price per ounce
five years ago ,a father was four times as old as his son.In five years time the father will be twice as old as the son.If x and y are the present ages of the father and the son respectively,the equation relating x and y are:
Please I need an explanation
The options are
A: 4y-x=0;x-2y=0
B: 4y-x=15;x-2y=5
C: 4y-x=25;x-2y=5
D: x-4y=15;y-2x=5
Will mark brainiest!!
Only answer questions a and b
Answer:
f1 ( x ) valid pdf . f2 ( x ) is invalid pdf
k = 1 / 18 , i ) 0.6133 , ii ) 0.84792
Step-by-step explanation:
Solution:-
A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:
- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:
- We will perform integration of each given pdf as follows:
Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.
B)
- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:
if 8 ≤ x ≤ 10
0 otherwise.
- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:
- Evaluate the integral as follows:
... Answer
- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:
To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:
p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )
p ( 8.6 ≤ x ≤ 9.8 ) =
ii) To determine the conditional probability we will utilize the basic formula as follows:
p ( x ≤ 9.8 | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]
p ( x ≤ 9.8 | x ≥ 8.6 ) = 0.84792 ... answer
Hope it helps! ;)
If AB + BC = 24 and AB = 10, then 10 + BC = 24 is an example of the?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Given that,
AB + BC = 24 and AB = 10, then 10 + BC = 24.
To find,
The above expression is an example of what?
Solution,
We have,
AB + BC = 24 ....(1)
and
AB = 10
Substitute AB = 10 in equation (1).
10+BC=24
BC = 24-10
BC = 14
Therefore, we have used Substitution Property. Hence, the correct option is (2).
please help asap!!!!!
Answer:
36 units
Step-by-step explanation:
A market sells 6 cans of food for every 7 boxes of food. The market sold a total of 26 cans and boxes today. How many
of each kind did the market sell?
6 cans and 20 boxes
12 cans and 14 boxes
14 cans and 12 boxes
20 cans and 6 boxes
find the inverse of the function f (x) =2x - 5
bob buys a computer during the sale. There was a discount of 25%. If the original price is $500. What is sale price?
Answer:
$375
Step-by-step explanation:
If the discount was 25%, that means Bob bought the computer at 75% of original.
75% of 500 = 3/4 * 500 = $375
I hope this helps! :)
Consider the steps to convert 49% to a decimal.
The decimal point will move
places.
The decimal point will move to the
.
49% written as a decimal is
.
9514 1404 393
Answer:
2 placesto the left0.49Step-by-step explanation:
It can be useful to consider the percent symbol (%) as a shorthand way to write /100. That is, where you see %, /100 is completely equivalent.
49% = 49/100
If you recognize that 1/100 (one hundredth) is 0.01 in decimal (one hundredth), then you can see that 49/100 = 49×0.01 = 0.49.
__
A lot of folks consider the % symbol to be separate from the number, just as units of degrees or hours or inches might be. So, they tell you to do the conversion by moving the decimal point on the % value 2 places to the left (and drop the % symbol):
49% = 49.% = .49
_____
Additional comment
As you can tell, I think of the % symbol as part of the number 49%, just as /100 is part of the number 49/100. Forty-nine hundredths can be written as any of 49/100 or 0.49 or 49%.
Answer:
2 places
to the left
0.49
Step-by-step explanation:
If pair of dice are rolled, what is the probability of getting (i) A total of 9. (ii)
Same faces on both dices.
Answer:
I) 1/9; II) 1/6.
Step-by-step explanation:
I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.
The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.
II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.
The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.
The required probability is:
1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6
If I already owe you 5 apples and now I owe you 10 more apples, how many apples do I owe you now?
Answer:
15 apples
Step-by-step explanation:
It's kinda obvious ;-;
Answer: 15 because it + so 5 + 10 = 15
Step-by-step explanation:
Write the equation of the line in point-slope form that goes through the point (3, -4) and has a slope of 6. '
my sister went on her first date last night and she is 22 any advice
Answer:
be yourself
Step-by-step explanation:
that's the only thing that i can say
Answer:
Just let her.
Step-by-step explanation:
Which line graph represents the table of values shown below?
X Y
0 1
3 4
5 6
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
the points line up on graph D
What’s the missing number?
Step-by-step explanation:
Notice that:
1st column = (5 - 1)² = 16
2nd column = (11 - 4)² = 49
Therefore 3rd column = (18 - *)² = 121, * = 7.
Answer:
7 is the missing number
Step-by-step explanation:
Let the missing number be x.
Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.
In 1st column ,
Difference of first 2 numbers = 5 - 1 = 4
The bottom number = 16 = 4²
In 2nd column ,
Difference of first 2 numbers = 11 - 4 = 7
The bottom number = 49 = 7²
Similarly ,
Difference of first 2 numbers = 18 - x
The bottom number = 121
[tex] = > {(18 - x)}^{2} = 121[/tex]
[tex] = > {(18 - x)}^{2} = {11}^{2} [/tex]
[tex] = > 18 - x = 11[/tex]
[tex] = > x = 18 - 11 = 7[/tex]
What strategies work best to win the game?
Answer:
i) A plan which u should be ready with must have another back-up plan if somehow it goes down.
ii) Execution of the plan must be kept in mind.
iii) You have to learn the deep down basics and details of the game to execute the plan accordingly with the situation.
Rewrite x - 3y = 6 in slope-intercept form.
А
X= 3y +6
В
y=x - 2
С
у = 3х -6
D
Зу = 6-х
Answer:
use formula y=mx+c
[tex]x - 3y = 6 \\ x - 6 = 3y \\ x - \frac{6}{3} = y \\ x - 2 = y \\ y = x - 2[/tex]
so the answer is B
Helpppppp meeee please and thank you
The
would most likely be used to
convince home owners that it is a good time to
sell.
Answer:
Bottom Graph
Step-by-step explanation:
Members of a lacrosse team raised $1396.75 to go to a tournament. They rented a bus for $850.50 and budgeted $28.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
19 players
Step-by-step explanation:
If the team raises $1396.75 and the bus costed $850.50 then the remaining budget is = 546.75
If each meal is $28.75 then you could buy 19 meals for 19 players to take to the tournament.
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
Answer:
Step-by-step explanation:
Bad=360-118*2-62=360-236-62=360-298=72°
Find the third side in simplest radical form:
20
21
Answer:
Craig has £13.40
He sees this offer in a restaurant:
Main courses £8.90 each. Buy one main course and get the 2nd HALF PRICE!
Can he afford to buy two main courses? Show your working.
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
The result
[5+10]/4=
Answer:[5+10]/4= 3.75 Hope these helps!
Step-by-step explanation:
why are expert verified people so extra like they put too much information
Answer:
to make sure you understand the question
Step-by-step explanation:
Answer:
Most likely to help you understand the answer so that if you run into a problem similar you don't have to look it up
Step-by-step explanation:
-3+6x=25-8x solve for x
Answer:
6x+8x = 25+3
14x = 28
x =2
Step-by-step explanation:
When we take something to other side of equal sign it changes sign.
Answer:
X=4
Step-by-step explanation:
You simplify and then get x alonE
What is the constant of proportionality for the relationship shown in this table?
I need your help
x 1 2 3 4
y 4 8 12 16
14
4
8
16
PLEASE
Answer:
2
Step-by-step explanation:
Find the x- and y-intercepts of the equation 9x + 12y = 36.
Question 7 options:
A)
x-intercept: (3,0), y-intercept: (0,4)
B)
x-intercept: (4,0), y-intercept: (0,3)
C)
x-intercept: (0,3), y-intercept: (4,0)
D)
x-intercept: (–4,0), y-intercept: (0,–3
Answer:
B) Y-intercept: (0,3), X-intercept: (4,0)
Step-by-step explanation:
x = 0 12y = 36-9x
12y = 36
y = 3 y intercept: (0,3)
y = 0 9x = 36 x = 4
x intercept: (4,0)
3(t+1)=18 solve this probem with work
Answer:
t = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(t+1)=18
(3)(t)+(3)(1)=18(Distribute)
3t+3=18
Step 2: Subtract 3 from both sides.
3t+3−3=18−3
3t=15
Step 3: Divide both sides by 3.
3t/3 = 15/3
t = 5
Help
[tex]a \sin(wt + phi ) = c2 \sin(wt)+ c1 \cos(wt) [/tex]use the information above and the trigonometric identities to prove that Asin(wt+phi)=c2sin(wt)+c1cos(wt)
Answer and Step-by-step explanation:
Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:
Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).
Let Acos(phi) = c2 and Asin(phi) = c1 we have:
Asin(wt + phi) = c2sin(wt) + c1cos(wt)
Answer:
Step-by-step explanation:
In order to prove that Asin(ωt+ϕ) equals c2sin ωt+ c1cos ωt we need use the sin (A+B) sum identity.
The sin sum identity is sin(A+B)= sinA × cosB + cosB × sinA
Now lets plug in our info.
Asin(ωt+ϕ)= (sin wt × cosϕ) + (cos wt × sinϕ)
We know that Asin= c1 and Acos= c2.
Once we input c1 and c2 and solve, our end result becomes c2sin(wt)+c1cos(wt)
