Answer:
The probability that the device fails during its first hour of operation is 0.625.
Step-by-step explanation:
The joint density function of the lifetimes of the two components, both measured in hours, is:
[tex]f(x,y)=\frac{x+y}{8};\ 0<x<2,\ 0<y<2[/tex]
Compute the probability that the device fails during its first hour of operation as follows:
[tex]P[(X<1)\cup (Y<1)]=1-\int\limits^{2}_{1} {\int\limits^{2}_{1} {\frac{x+y}{8}} \, dx } \, dy[/tex]
[tex]=1-\int\limits^{2}_{1} {\frac{x^{2}+2xy}{16}}|^{2}_{1} \, dy\\\\=1- \int\limits^{2}_{1}[{\frac{4+4y}{16}-\frac{1+2y}{16}}] \, dy\\\\=1-\int\limits^{2}_{1}{\frac{3+2y}{16}}\, dy\\\\=1-[\frac{3y+y^{2}}{16}]^{2}_{1}\\\\=1-0.375\\\\=0.625[/tex]
Thus, the probability that the device fails during its first hour of operation is 0.625.
Please help me. What’s the answer ?
Answer:
D
Step-by-step explanation:
D
Which linear function is represented by the graph?
O f(x) = -2x + 1
O f(x) = -1/2x + 1
O f(x) = 1/2x + 1
O f(x) = 2x + 1
Answer:
The answer is B
Step-by-step explanation:
ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?
Answer:
yStep-by-step explanation:
8. Robert has $50 000 in the bank. Belinda has $5 000. Compare how much money they
have using (a) subtraction and (b) division. Write your answers as sentences.
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
Max pays a flat rate of $85 for his cell phone. He is also charged $0.15 for every text that he sends. His cell phone bill can be no more than the amount he has budgeted for it each month. If x represents the number of texts and y represents his budgeted amount, which inequality represents Max's cell phone budget each month? (3 points)
a $0.15x + $85 ≥ y
b $0.15x + $85 ≤ y
c $0.15x - $85 ≥ y
d $0.15x - $85 ≤ y
Select all angles of symmetry.
Answer:
B,C,F
Step-by-step explanation:
Complete the equation that represents the total value of the nickels and p pennies
Answer:
Answers below
Step-by-step explanation:
Equation
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
[tex]p + n=24\qquad\qquad [1][/tex]
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:
[tex]0.01p+0.05n=1[/tex]
Multiplying by 100:
[tex]p+5n=100\qquad\qquad [2][/tex]
A. Completing the equation:
[tex]5n+p=100[/tex]
B.
From [1]:
[tex]p=24-n[/tex]
Substituting into [2]:
[tex]24-n+5n=100[/tex]
Simplifying:
[tex]24+4n=100[/tex]
Rearranging:
[tex]4n=100-24=76[/tex]
[tex]n=76 / 4= 19[/tex]
[tex]p=24-19=5[/tex]
B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100 The type of coins that Janessa has = nickels and pennies.
Janessa has a total number of 24 coins
The sum of the nickels and pennies = $1.00
Let us represent the number of nickels as x
The number of pennies as y
I need help with this please
Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.
Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.
So both are important at some point, but it may be more important to learn deductive reasoning at first.
help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a)
Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b)
33.4/4 = 8.35
1) Cost of 7.5 gallons of water = 62.63 lb
2) The constant of variation = 8.35 lb
We have to given that,
1) Cost of 4 gallons = 33.4 lb
2) And, Cost of 4 gallon of water = 33.4 lb
Hence, We can simplify it as,
1) Since, Cost of 4 gallons = 33.4 lb
Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb
= 62.63 lb
2) Since, Cost of 4 gallon of water = 33.4 lb
Hence, the constant of variation = 33.4 / 4
= 8.35
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Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)f(x) = 3 â 48x + 4x2, [5, 7]
Answer:
Step-by-step explanation:
The given equation is:
f(x) = 3 - 48x + 4x² [5,7]
where; f(x) is continous and derivable in [5,7]
f'(x) = -48x + 8x
f(5) = 3 - 48(5) + 4(5)² = -137
f(7) = 3 - 48(7) + 4(7)² = -137
Thus, it satisfies the hypotheses of Rolle's Theorem
f'(x) = f'(c) = 0
-48 + 8c = 0
c =48/8
c = 6
What is 19,067 divided by 43
Answer:
443.418604651
Step-by-step explanation:
Thank you for the points!
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?
you bough shoes for $60. they were on sale for 40% off their original price. a. write a proportion to solve for the original price of the shoes
Answer:
$100
Step-by-step explanation:
The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].
The graph of f (x) = −x3 + 3x2 − 2 is
shown in the figure to the right.
Complete the table below by using
the second derivative of f to identify
the intervals on which f us concave
upward or concave downward and
to identify the inflection points of f.
Answer:
Concave Up: (-∞, 1)
Concave Down: (1, ∞)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Combining Like TermsCalculus
Derivative of a Constant is 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Second Derivative Test:
Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.IStep-by-step explanation:
Step 1: Define
f(x) = -x³ + 3x² - 2
Step 2: Find 2nd Derivative
1st Derivative [Basic Power]: f'(x) = -1 · 3x³⁻² + 2 · 3x²⁻¹Simplify: f'(x) = -3x² + 6x2nd Derivative [Basic Power]: f"(x) = -3 · 2x²⁻¹ + 1 · 6x¹⁻¹Simplify: f"(x) = -6x + 6Step 3: Find P.P.I
Set f"(x) equal to zero: 0 = -6x + 6Isolate x term: -6 = -6xIsolate x: 1 = xRewrite: P.P.I x = 1Step 4: Number Line Test
See Attachment.
We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.
x = 0
Substitute: f"(0) = -6(0) + 6Multiply: f"(0) = 0 + 6Add: f"(0) = 6This means that the graph f(x) is concave up before x = 1.
x = 2
Substitute: f"(2) = -6(2) + 6Multiply: f"(2) = -12 + 6Add: f"(2) = -6This means that the graph f(x) is concave down after x = 1.
Step 5: Identify
Since f"(x) changes concavity from positive to negative at x = 1, then we know that the P.P.I x = 1 is actually a P.I x = 1.
Let's find what actual point on f(x) when the concavity changes.
Substitute in P.I into f(x): f(1) = -(1)³ + 3(1)² - 2Evaluate Exponents: f(1) = -(1) + 3(1) - 2Multiply: f(1) = -1 + 3 - 2Combine like terms: f(1) = 0So at (1, 0), f(x) changes concavity from concave up to concave down.
Step 6: Define Intervals
We know that before f(x) reaches x = 1, the graph is concave up. We used the 2nd Derivative Test to confirm this.
Concave Up Interval: (-∞, 1)
We also know that after f(x) passes x = 1, the graph is concave down. We used the 2nd Derivative Test to confirm this as well.
Concave Down Interval: (1, ∞)
An oil well produces 159 gallons of oil every day. A standard oil barrel holds 42
gallons of oil. About how many barrels of oil will the well produce in one day? Estimate.
Answer:
there are 2 full barrels and one that is almost full so intotal there are 3 barrels.
Step-by-step explanation:
Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that money is worth 6.2%, compounded quarterly. If $90,000 is invested in an annuity that earns 5.4%, compounded quarterly, what payments will it provide at the end of each quarter for the next 7 1/2 years?
Answer:
Step-by-step explanation:
From the first question:
We are to find PV of the annuity.
Using the formula:
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Where , Annuity Amount = $4,000
n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF
r = 6.2% / 4 quarters = 1.55%,
PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }
= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }
= 1 + [ (1 - 0.66015 ) ] / 0.0155]
= 1 + 21.926
= 22.926
PVAF(28,1.55%) = 22.926
Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00
2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Present Value of Annuity = $90,000
n = No. of periods = 7.5 years × 4 quarters per year = 30 periods
r = 5.4% / 4 quarters = 1.35%,
PVAF(n,r) = [1-(1+r)^-n]/r
PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135
PVAF(30,1.35%) = (1 - 0.6688)/0.0135
PVAF(30,1.35%) = 0.3312/0.0135
PVAF(30,1.35%) = 24.53
Hence ;
$90,000 = Annuity Amount × 24.53
Annuity amount = $90,000/24.53 = $3,668.48
y = -4x – 5
y = 3.x – 2
Is (3, 7) a solution of the system?
Answer:
no
Step-by-step explanation:
this is because
-12-5=-17
-28-2= -30
bruh i can't and I need help
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after 2 1/2 years? Round your answer to the nearest cent.
Answer:
$654.06
Step-by-step explanation:
ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります
関係のドメインは？ 1）関係の出力（y）値2）関係の入力（x）値3）入力値をペアにするポイントのセット…
f（x）= 16 – x ^ 2、g（x）= 4 –xとします。 （fg）（x）とその定義域を見つけます。
助けてくださいお願いします
助けてください
Answer: the answer would be 79.06
Step-by-step explanation:
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
He lost 29 points
Step-by-step explanation:
He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29
Answer:
He would end up with 71 points
Step-by-step explanation:
You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points
what is le 2+2?
im -2 years old
Answer: The answer is 4
Step-by-step explanation: and FYI nobody is -2 years old
1. (01.02)
Given that f(x) = 6x + 2 and g(x)
2x + 4/5
solve for g(f(1)). (5 points)
1
3
4
8
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
Score: 0 of 1 pt
4 of 40 com-
3.1.11
The line graph to the right shows the number of students per teacher in public elementary and
secondary schools for the years 1998 through 2006,
Approximate the number of students per teacher in 1999,
Answer:
~ 17.4
Step-by-step explanation:
The number of students per teacher in 1999 is approximately 17.4
If 2.2x10^6 - 4.3x10^5 what does this equal
Answer:
If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...
Step-by-step explanation:
Answer:
The answer is 1,770,000
Step-by-step explanation:
[tex]2.2 \times 10 {}^{6 } - 4.3 \times 10 {}^{5} [/tex]
1. Orders of Operation. Exponents come first before multiplication. So do the exponents first.
2.2×1,000,000-4.3×100,000
2. Order of Operation. Mutilpication comes before subtraction.
2,200,000-430,000
3. Subtract
1,770,000
Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Answer:
2x + 2y ≤ 20
x + 3y ≤ 2
Step-by-step explanation:
this is the correct answer i got on my assignment-------
The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20
and 3x + 2y ≤ 21.
What are inequalities?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows; batches of brownies = x and batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
x + 2y ≤ 20
Cookie:
Sugar = 3 cups
Eggs = 2
3x + 2y ≤ 21
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Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Find the quotient. 3,482 ÷ 9 = *
Answer:
386.8
Step-by-step explanation:
pretty sure thats it
Answer:
386.8888 .. ...
Step-by-step explanation:
3482/9
The income from the spanish club bake sale was $465. Expense for the sale totlaed $50. Using integer addition find the total profit or loss from the bake sale
9514 1404 393
Answer:
profit: $415
Step-by-step explanation:
Profit = Income - Expense
= $465 - 50
= $415
The profit from the bake sale was $415.
__
If you consider the above subtraction not to be "integer addition," then the equation you want to evaluate is ...
profit = $465 + (-50) = $415
Subtraction is the same as addition of the opposite.