Answer:
If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.
The two rates would be 3:60 and 2:40 and so on 1:20
Step-by-step explanation:
Good luck! Hope this helps! <3
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. h)What is the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X)
The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
Here,
Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:
f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57
Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:
f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57
Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).
Mathematically, we want to find P(Y > X + 0.11).
Let's set up the integral to calculate this probability:
P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy
We integrate with respect to x first and then with respect to y:
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy
P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy
P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy
P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57
P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]
P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]
P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]
P(Y > X + 0.11) = 3.0805 * [0.84895]
P(Y > X + 0.11) ≈ 2.6092
Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.
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Which number is equal to 10^3
Answer: is 0.001
10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001
Step-by-step explanation:
Hope you have a great night
Answer: 0.001
Step-by-step explanation:
Natalie can do 26 push ups in 2 minutes how many can she do in 7 minutes? set up porportion
Answer:
In seven minutes she can do 91 push ups
Step-by-step explanation:
26*3=78
78+13=91
cual es el valor de 7 3/4 + 1 7/8 fraccionado
what is point B on the number line?!?
Answer:
-0.4
hope this helps :)
A baker makes 51 loaves of bread in 8 1/2 hours. What is the unit rate for the number of loaves in one hour. I need a answer pleaseee
Answer:
6
Step-by-step explanation:
51 divided by 8.5
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width . Find the dimensions.
Answer:
width: 33 ft
length: 74 ft
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.
l + l + w + w = 214
(41 + w) + (41 +w) + w + w = 214 ... combine like terms
82 + 4w = 214 ... subtract 82 from both sides
4w = 132 ... divide both sides by 4
w = 33 ft
Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.
l = 41 + w
l = 41 + 33
l = 74 ft
PLEASE help. Will give brainliest.
Answer:
y=5
x=10 and
z=2
Step-by-step explanation:
since they are equivalance then,
for
triangle ABC and triangle DFE
AB=DF,BC=FE and AC= DE
So, AB=DF
8y-20= 4y
or, y=5
Then, BC= FE
2x+5=x+15
or, x=10
and
AC=DE
3z+9=10z-5
or, z= 2
hope u got ut.
The triangles are parallel thus their sides are equal to each other peer to peer.
So ;
[tex]x + 15 = 2x + 5[/tex]
Subtract sides -5
[tex]x + 15 - 5 = 2x + 5 - 5[/tex]
[tex]x + 10 = 2x[/tex]
Subtract sides -x
[tex]x - x + 10 = 2x - x[/tex]
[tex]x = 10[/tex]
_________________________________
[tex]4y = 8y - 20[/tex]
Subtract sides -8y
[tex]4y - 8y = 8y - 8y - 20[/tex]
[tex] - 4y = - 20[/tex]
Negatives simplifies
[tex]4y = 20[/tex]
Divided sides by 4
[tex] \frac{4}{4}y = \frac{20}{4} \\ [/tex]
[tex]y = 5[/tex]
_________________________________
[tex]10z - 5 = 3z + 9[/tex]
Plus sides 5
[tex]10z - 5 + 5 = 3z + 9 + 5[/tex]
[tex]10z = 3z + 14[/tex]
Subtract sides -3z
[tex]10z - 3z = 3z - 3z + 14[/tex]
[tex]7z = 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}z = \frac{14}{7} \\ [/tex]
[tex]z = 2[/tex]
_________________________________
And we're done....♥️♥️♥️♥️♥️
What is the difference between –12 and –5?
Answer:
-7
Step-by-step explanation:
(-12)-(-5)
negative and negative make a positive
-12+5
= -7
Answer:
-7
Step-by-step explanation:
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8, . . .
Answer:
4, 2.75, 1.5, 0.25, –1, . . .
Step-by-step explanation:
edge2020
4. Volunteers are moving a pile of mulch at a park. The pile has 324 cubic feet of mulch. They move it using
wheelbarrows that hold 2.8 cubic feet each. The volunteers can move 11 wheelbarrows per hour. How many
cubic feet are left in the pile after the volunteers have moved mulch for 6 hours?
(1) 89.4
(3) 184.8
(2) 139.2
(4) 206.2
sol brought a tablet on sale for 45% off the original price. If he paid $132 for it, what was the price of the tablet before the sale?
Answer: 240
Step-by-step explanation:
The price of the tablet before the sale is, $240.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Sol brought a tablet on sale for 45% off the original price.
And, He paid $132 for tablet.
Now, Let the original price of tablet = x
So, We can formulate;
⇒ x - 45% of x = $132
⇒ x - 45x/100 = $132
⇒ (100x - 45x) / 100 = $132
⇒ 55x = $13200
⇒ x = $13200 / 55
⇒ x = $240
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Find the value of. -
[(-4) + (-8)] = [(-4)=2x2
(a) 3
(b)-3
(C) 4
(d) - 4
Answer:
d
Step-by-step explanation:
if a distibution has a mean of 50 and a standard devation of 25, how many standard deviation is 0 from the mean
Answer:
2
Step-by-step explanation:
Here, we have a mean of 50 and a standard deviation of 25, we now need to find out in terms of standard deviation how 0 is far from 50.
Firstly, we subtract 0 from 50
That gives 50. Now, we need to divide this difference by the standard deviation
That will be 50/25 and that makes it 2
So 0 is two deviations away from 50
Please help with this question I really need help
Answer/Step-by-step explanation:
Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.
Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.
Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.
f(4) = 2(4) - 8 = 8 - 8
f(4) = 0
Therefore, the relation in the table has a greater value when x = 4.
Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:
34 = 2x - 8
Add 8 to both sides
34 + 8 = 2x
42 = 2x
Divide both sides by 2
42/2 = x
21 = x
x = 21
can someone help me please with 582 x 23 ≈ __________ x __________ = 12,000
Answer:
Step-by-step explanation:
582×23≈600×20=12,000
Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY
Answer:is D
Step-by-step explanation:
Answer: B
Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)
The following equation represents the total price of hot dogs, p=3.25h. How much will you pay for 4 hot dogs? WRITE ONLY THE NUMBER FOR YOUR ANSWER.
Answer:
13
..................
show your work
16 = k/11
Find the square root of each number.
40=
Answer:
6.32455532034
is the square root of 40
1. Find y, A. and B.
3A=120 degrees (bcoz they are alternate exterior angles)
A= 40 degrees
5B= 120 degrees( bcoz they're alternate exterior angles)
B= 24 degrees
to find value of y I equalized
8+15=29/3 + y
y= 23-29/3
y=17/3
An engine pulls four identical carriages. The engine is the length of 2/3
a carriage and the total length of the train is 86.8 m. Find the length
of the engine.
Answer:
12.4m
Step-by-step explanation:
In order to solve this equation, we can use the length of a carriage as our unknown value (using the engine is a bit more difficult). The questions says that the whole train: 4 carriages and an engine = 86.8m
If we represent carriage length as 'x', we can write the following equation:
4x (length of 4 carriages) + (2/3)x (length of engine as it is 2/3 of a carriage) = 86.8m
4x+(2/3)x = 86.8
From here we can combine into one fraction:
[tex]4x+\frac{2}{3} x=\frac{14}{3}x[/tex]
So now our equation looks like this:
[tex]\frac{14x}{3}=86.8[/tex]
Now all we need to do is multiply both sides by 3 and then divide both sides by 14 to isolate and solve x:
[tex]\frac{14x}{3}*3=86.8*3\\ 14x=260.4\\\frac{14x}{14}=260.4/14\\ x=18.6\\[/tex]
Now that we know the carriage length, we can use it to find the engine length:
Engine length = 2/3 Carriage length
[tex]E=\frac{2}{3}x\\ E=\frac{2}{3} (18.6)\\E = 12.4m[/tex]
Hope this helped!
Length of a carriage = x
Length of four carriages = 86.8 m
Length of each carriage =
[tex]86.8 \div 4 \: m \\ = \: 21.7 \: m[/tex]
Length of one carriage = 21.7 m
Length of the engine =
[tex] = \frac{2}{3} x[/tex]
[tex] = \frac{2}{3} \times 21.7[/tex]
[tex] = 43.4 \: m[/tex]
[tex]43.4 \div 3 \: m \\ = 14.4666666667 \: m[/tex]
∴ The length of the engine is 14.4666666667 m .
Help me guys ! Or girls I need help
Answer:
A)---(2,2)
B)---(-6,4)
C)---(-4,7)
D)---(2,4)
Answer:
A= (2,2) B= (-6,4) C= (-4,7) D= (2,4)
Step-by-step explanation:
Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
30%. What was the list price of the clock?
holour
Answer:
942.50
Step-by-step explanation:
725×30% or 0.3 = 217.5
217.5+725=942.5
3 divided by 5/6=___
Answer:
2.5
Step-by-step explanation:
Consider the set of whole numbers from 3 to 30, inclusive.
List the numbers that meet the condition: less than six or prime
List the numbers, separated by commas.
The numbers less than 6 or prime are [tex]4,5,6,7,11,13,17,19,23,29[/tex]
Whole and prime numbers:Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative
A prime number is a number that has only two factors, that is, 1 and the number itself.
The prime numbers between 3 to 30 are,
[tex]7,11,13,17,19,23,29[/tex]
We have to find the numbers that are less than 6 or prime.
Numbers are, [tex]4,5,6,7,11,13,17,19,23,29[/tex]
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what is the Quotient: 3/4divided1/4
Answer:
3
Step-by-step explanation:
Lisa Has 17 cookie she subtracts 19 and adds 156 then she divides by 4.
Answer:
38.5
Step-by-step explanation:
17-19= -2
-2+156=154
154 divided by 4= 38.5
it should be 17 - 19 + 154 then divided by 4
so 38.5 cookies
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
The second term of a geometric sequence is and the sixth term is 2 and 32
The first term, a and the common ratio, r.
Answer:
There are two sets of solutions:
either [tex]a = 1[/tex] and [tex]r = 2[/tex], or[tex]a = -1[/tex] and [tex]r = -2[/tex].Step-by-step explanation:
The question states that [tex]a[/tex] and [tex]r[/tex] should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:
First term of this sequence: [tex]a[/tex].Second term of this sequence: [tex]r\, a[/tex].Third term of this sequence: [tex]r^2\, a[/tex].And so on so forth. Each term of this sequence after the first term is equal to [tex]r[/tex] times the previous term.Let [tex]n[/tex] denote a positive whole number. In general, the [tex]n\![/tex]-th term of this geometric sequence would be [tex]r^{n-1}\, a[/tex].
The sixth term of this sequence would thus be [tex]r^{6-1}\, a = r^5\, a[/tex].
The fact that the second term is [tex]2[/tex] and the sixth term is [tex]32[/tex] gives two equations about [tex]a[/tex] and [tex]r[/tex]:
[tex]\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.[/tex].
Take the quotient of these two equations to eliminate [tex]a[/tex]:
[tex]\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}[/tex].
[tex]r^4 = 16[/tex].
There are two possible roots: either [tex]r = 2[/tex] or [tex]r = -2[/tex].
When [tex]r = 2[/tex], substitute back to the first equation and solve for [tex]a[/tex]: [tex]a = 1[/tex].
On the other hand, when [tex]r = -2[/tex], substituting back and solving for [tex]a[/tex] would give [tex]a = -1[/tex].
Substitute these values into the second equation. Either set of values will work.