The probability that the company uses more than 270 dB during any particular hour is approximately 0.8963 or 89.63%.
To find the probability that the company uses more than 270 dB during any particular hour, we need to use the properties of the lognormal distribution.
The lognormal distribution is characterized by two parameters: μ (mean of the logarithm of the data) and σ (standard deviation of the logarithm of the data).
μ = 4
σ = 2
To find the probability of the company using more than 270 dB, we need to convert this value to the logarithmic scale and then calculate the corresponding probability.
Convert 270 dB to the logarithmic scale:
Let X be the random variable following a lognormal distribution with parameters μ and σ. The logarithm of X is normally distributed with mean μ and standard deviation σ.
Using the lognormal properties, we can convert 270 dB to the logarithmic scale:
ln(270) = 5.5984 (approximately)
Calculate the probability of X being greater than ln(270):
We now need to find the probability of X being greater than ln(270) in the lognormal distribution with parameters μ = 4 and σ = 2.
Using statistical software, a lognormal distribution table, or a calculator, we find the probability P(X > ln(270)) to be approximately 0.8963.
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To find the probability that the company uses more than 270 dB during any particular hour, we can use the properties of the lognormal distribution. The lognormal distribution is characterized by its parameters μ and σ, where μ is the mean and σ is the standard deviation of the natural logarithm of the variable. In this case, μ = 4 and σ = 2. The probability is approximately 0.227.
Explanation:To find the probability that the company uses more than 270 dB during any particular hour, we can use the properties of the lognormal distribution. The lognormal distribution is characterized by its parameters μ and σ, where μ is the mean and σ is the standard deviation of the natural logarithm of the variable. In this case, μ = 4 and σ = 2.
To find the probability, we can convert the value of 270 dB to its corresponding value on the lognormal distribution. Let's call this value x. Using the formula x = e^μ + σ^2/2, we have x = e^4 + 2^2/2 = 54.598.
Now, we can use the cumulative distribution function (CDF) of the lognormal distribution to find the probability that the company uses more than 270 dB. The CDF gives us the probability that the variable is less than or equal to a given value.
Since we want the probability that the variable is greater than 270 dB, we can subtract the CDF value from 1. Using a calculator or a statistical software, we can find that the CDF of the lognormal distribution at x = 54.598 is approximately 0.773. Therefore, the probability that the company uses more than 270 dB during any particular hour is 1 - 0.773 = 0.227.
A contestant on a game show is given $250 and is ask five questions the contestant loses $50 for every wrong answer determine the domain and range
Answer:
The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]
The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]
Step-by-step explanation:
A contestant on a game show is given $250. He is asked five questions and loses $50 for every wrong answer.
If he answer all 5 questions correct, then he will still have $250;If he answers 4 questions correct and 1 question incorrect, he will have $200; If he answers 3 questions correct and 2 questions incorrect, he will have $150; If he answers 2 questions correct and 3 questions incorrect, he will have $100; If he answers 1 question correct and 4 questions incorrect, he will have $50; If he answers 5 questions incorrect, he will have $0.Let x be the number of wrong answers. Then you get a relationship
[tex]\begin{array}{cc}x&f(x)\\ 0&250\\1&200\\2&150\\3&100\\4&50\\5&0\end{array}[/tex]
The domain is (all possible values of x) [tex]\{0,1,2,3,4,5\}[/tex]
The range is (all possible values of f(x)) [tex]\{250,200,150,100,50,0\}[/tex]
Answer:
down below(hope this helps
Step-by-step explanation:
Tony loves to put stickers on his papers. Tony has 15 shark stickers. Tony has 21 whale sticker. Tony has 47 dolphi Stickers. Tony has 40 papers. Tony puts a dolphine sticker on every paper. Tony puts a shark sticker on every fourth paper. Tony puts a whale sticker on every fifth paper. When tony finishes putting all the stickers on the papers, how many papers will all three kinds of stickers on them.
Answer:
2 papers
Step-by-step explanation:
shark stickers : 15
whale stickers : 21
dolphin stickers : 47
papers:40
papers with dolphin stickers: 47
papers with shark stickers: 4, 8 , 12, 16, 20,24,28,32,36, 40 (every fourth paper, multiples of 4 till 40)
40/4 = 10 papers with shark stickers
papers with whale stickers: 5, 10,15, 15, 20, 25,30,35,40 (multiples of 5 till 40)
Papers with the three kinds of stickers : 2 (paper 20 and 40 )
Answer:
2 papers
Step-by-step explanation:
The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the first coaster. Find the height of the hill on the second roller coaster
Answer:
85.25
Step-by-step explanation:
155 x (11/20) =85.25 feet
A small toy car costs $3.A large toy car costs 5 times as much as the small one.Aaron wants to buy one of each.Which equation can he use to find the cost (a) of the two cars?
Answer:$18.00
Step-by-step explanation:5×3=15
$3+$15=$18
Answer:
Step-by-step explanation:
To
For the lines defined by the following equations indicate with a "V" if they are vertical, an "H" if they are horizontal, and an "S" (for slanted) if they are neither vertical nor horizontal. S 3x+4y+5=0
Answer:
The answer is the function 3x+4y+5=0 is Slanted
Step-by-step explanation:
To be able to to know if this function is horizontal, vertical or slanted we should look at the gradient.
If the gradient is zero, then the line is horizontal.
If the gradient is infinite, then the line is vertical.
if not, then the line is slanted
We can look the gradient by the general form equation of a line:
y = mx + c
where y = dependent variable, x = independent variable, m = gradient, c = intercept.
With our equation, we can change things around to get the general form equation:
3x + 4y + 5 = 0
4y = 3x - 5
[tex]y = \frac{3}{4}x - \frac{5}{4}[/tex]
Where the gradient is 3/4
Therefore, as the gradient is a number other than zero or infinite, we know that this function is slanted.
Michael starting a savings account with $300. After 4 weeks he had $350 and after 9 weeks he had $400. What is the rate of change in his savings account per week
Answer:
$12.5 per week
Step-by-step explanation:
(300)+12.5 +12.5+12.5+12.5=350
The rate of change in Michael's savings account per week is $12.50.
Explanation:To find the rate of change in Michael's savings account per week, we need to determine how much the account balance increased per week. We can subtract the initial balance from the final balance and divide that by the number of weeks:
Rate of change per week = (Final balance - Initial balance) / Number of weeks
Using the given information, the rate of change per week is:
(350 - 300) / 4 = 50 / 4 = 12.5
Therefore, the rate of change in Michael's savings account per week is $12.50.
PLEASE!!! HELP NEEDED!!!
Given the following equation, x^4 - x^3 - 3x - 2. Use synthetic division to test the following 3 points and show which one is a root. Must show synthetic division for all 3 of the following test points. Test these 3 possible root points also called possible zeros using synthetic division: (x,y) = (-1, 0) (-3, 0) (2, 0).
PLEASE SHOW YOUR WORK!!!
Answer:
(x, y) = (-1, 3), (-3, 115), (2, 0)
Step-by-step explanation:
The first two test points are not roots. The last one is a root.
Solve the inequality.
[tex]12( \frac{1}{2} \times - \frac{1}{3} ) > 8 - 2 \times [/tex]
A.
[tex] \times > - \frac{1}{2} [/tex]
B.
[tex] \times > \frac{3}{2} [/tex]
C.
[tex] \times > \frac{1}{2} [/tex]
D.
[tex] \times > 3[/tex]
What is X if X + R = S?
Answer:
The correct answer is the second option.
Step-by-step explanation:
If X + R = S, then X = S - R. You need to subtract each pair:
-2 - 0 = -2
-8 - 3 = -11
0 - (-4) = 4
2 - 5 = -3
Answer:
B
Step-by-step explanation:
Edge2020
Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. Interpret the slope of the equation.
Select the correct answer below:
The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for every 15 miles she drives on that day.
The slope, 15, means that the cost for renting the car on a particular day increases by 15 dollars for each mile she drives on that day.
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each 0.32 of a mile she drives on that day.
Answer:
The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.
Step-by-step explanation:
The slope, 0.32, means that the cost for renting the car on a particular day increases by 0.32 of a dollar for each mile she drives on that day.
Explanation:The slope of the equation C=0.32m+15 is 0.32. The slope represents the rate of change in the cost per day for each unit increase in the number of miles Janelle drives. In this case, for every additional mile Janelle drives, the cost of renting the car increases by 0.32 dollars.
Write this expression in standard form by collecting like terms:
9 (a - b) + 5 (2a - 2b)
A. 14a - 14b
B. 8a - 7b
C. 19a - 19b
D. -19a + 14b
please help asap, thank you!
9 (a - b) + 5 (2a - 2b)
mutiply the first bracket by 9
(9)(a)= 9a
(9)(-b)= -9b
mutiply the second bracket by 5
(5)(2a)=10a
(5)(-2b)= -10b
9a-9b+10a-10b
9a+10a-9b-10b ( combine like terms)
Answer : C. 19a - 19b
To simplify the expression 9(a - b) + 5(2a - 2b), we first distribute each term in the parentheses by the factor outside the parentheses and then gather like terms, getting 19a - 19b.
Explanation:To solve this problem, we need to distribute each term in the parentheses by their respective factor outside the parentheses and then collect like terms.
Step 1: Distribute the terms
9(a - b) becomes 9a - 9b
5(2a - 2b) becomes 10a - 10b
Step 2: Collect like terms
9a + 10a = 19a
-9b - 10b = -19b
So, the expression 9(a - b) + 5(2a - 2b) simplifies to 19a - 19b, which is answer choice C.
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find an equation of the line through (5,-9) and perpendicular to x=7
Answer:
y = - 9
Step-by-step explanation:
x = 7 is the equation of a vertical line parallel to the y- axis and passing through all points with an x- coordinate of 7
A line perpendicular to it is a horizontal line parallel to the x- axis with equation y = c
Where c is the value of the y- coordinates the line passes through.
The line passes through (5, - 9) with y- coordinate - 9, thus
equation of line is y = - 9
We have two coins, A and B. For each toss of coin A, we obtain Heads with probability 1/2 ; for each toss of coin B, we obtain Heads with probability 1/3 . All tosses of the same coin are independent. We toss coin A until Heads is obtained for the first time. We then toss coin B until Heads is obtained for the first time with coin B. The expected value of the total number of tosses is:
Answer:
The expected value is 5.
Step-by-step explanation:
Let X represent the number of tosses until the event described in the question happens. Let Y represent the number of tosses with coin A until Heads is obtained.Let Z represent the number of tosses with coin B until Heads is obtained.As we can see, X=Y+Z. Then, by the linearity of the expected value operator, we have that
[tex]E(X)=E(Y)+E(Z).[/tex]
We will compute E(Y) and E(Z).Observe that Y and Z have countable sets of outcomes (1,2,3,....) then,
[tex]E(X)=\sum^\infty_{n=1}nP(Y=n)[/tex],
[tex]E(Z)=\sum^\infty_{n=1}nP(Z=n)[/tex],
Then:
for each [tex]n\in \mathbb{N}[/tex], the probability of Y=n is given by [tex](0.5)^{n-1}(0.5)=(0.5)^{n}[/tex] (because the first n-1 tosses must be Tails and the n-th must be Heads). Therefore[tex]E(Y)=\sum^\infty_{n=1}nP(Y=n)=\sum^\infty_{n=1}n(\frac{1}{2} )^n=\\\\\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{1}{2} )^n=\sum^\infty_{m=1}(\frac{1}{2} )^{m-1}=\sum^\infty_{m=0}(\frac{1}{2} )^{m}=2.[/tex]
For each [tex]n\in \mathbb{N}[/tex], the probability of Z=n is given by [tex](\frac {2}{3})^{n-1}(\frac {1}{3})[/tex] (because the first n-1 tosses must be Tails and the n-th must be Heads). Therefore[tex]E(Z)=\sum^\infty_{n=1}nP(Z=n)=\frac{1}{3}\sum^\infty_{n=1}n(\frac{2}{3} )^{n-1}=\frac{1}{3}\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}[/tex]
Observe that, by the geometric series formula:
[tex]\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}=\sum^\infty_{n=1}(\frac{2}{3} )^{n-1}-\sum^{m-1}_{n=1}(\frac{2}{3} )^{n-1}=3-\sum^{m-1}_{n=1}(\frac{2}{3} )^{n-1}=\\\\3-\sum^{m-2}_{n=0}(\frac{2}{3} )^{n}=3-\frac{1-(\frac{2}{3})^{m-1} }{1-\frac{2}{3}}=3(\frac{2}{3})^{m-1}[/tex]
Therefore
[tex]E(Z)=\frac{1}{3}\sum^\infty_{m=1}\sum^\infty_{n=m}(\frac{2}{3} )^{n-1}=\frac{1}{3}\sum^\infty_{m=1}3(\frac{2}{3})^{m-1} =\\\\ \sum^\infty_{m=1}(\frac{2}{3})^{m-1} = \sum^\infty_{m=0}(\frac{2}{3})^{m} =3.[/tex]
Finally, E(X)=E(Y)+E(Z)=2+3=5.
Using the binomial distribution, it is found that the expected value of the total number of tosses is of 5.
For each coin, there are only two possible outcomes, either it is heads, or it is tails. The outcome of a coin is independent of any other coin, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
For coin A, we obtain Heads with probability 1/2, hence:
[tex]E_{sA}(X) = \frac{1}{\frac{1}{2}} = 2[/tex]
For coin B, we obtain Heads with probability 1/3, hence:
[tex]E_{sB}(X) = \frac{1}{\frac{1}{3}} = 3[/tex]
2 + 3 = 5, hence, the expected value of the total number of tosses is of 5.
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kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at one dealer she would pay 2,500 down and 150 each month. at another dealer she would pay 3,000 down and 125 each month after how many months would the total amount paid be the same for both dealers? what would that amount be?
Answer:
20 months
Step-by-step explanation:
Let the number of months be denoted by x.
Then, we shall form two equations to represent the total cost from each dealer. Thus,
2500 + 150x is the cost of the motorcycle from the first dealer.
3000 + 125x is the cost of the motorcycle from the second dealer.
If the costs from the dealers are equal, then
2500 + 150x =3000 +125x
150x- 125x = 3000-2500
25x = 500
x = 500/ 25
x =20 months
Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma, 8, right parenthesis, end color blue and point \purple{M}Mstart color purple, M, end color purple is at \purple{(1, 7.5)}(1,7.5)start color purple, left parenthesis, 1, comma, 7, point, 5, right parenthesis, end color purple. Point \purple{M}Mstart color purple, M, end color purple is the midpoint of point \blue{A}Astart color blue, A, end color blue and point \green{B}Bstart color green, B, end color green. What are the coordinates of point \green{B}Bstart color green, B, end color green?
Answer:
The coordinates of point B are (6,7).
Step-by-step explanation:
Given points are
Blue = A(-4,8)
Purple = M(1,7.5)
Green = B
It is given that point M is the midpoint of point A and B.
Let coordinates of points are (a,b).
Midpoint of two points is
[tex]Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
[tex]M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})[/tex]
Coordinates of midpoint are (1,7.5).
[tex](1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})[/tex]
On comparing both sides we get
[tex]1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6[/tex]
[tex]7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7[/tex]
Therefore, the coordinates of point B are (6,7).
You can buy 5 cans for green beans at the vilage market for $2.80 .You can buy 10 of the same cans of beans at sam club for $7.50.Which place is the better buy?
what is the probability of drawing a black card or a card with a letter?
Standard deck of 52
A:
4/12
1/2
21/26
17/26
Answer:
17/26.
Step-by-step explanation:
Prob(Drawing a black card) = 26/52 = 1/2.
Prob(Drawing a card with a letter)
= Prob( Ace, King, Queen or Jack of either Hearts or Diamonds)
= 8/52.
So the required probability = 26/52 + 8/52
= 34/52
= 17/26.
Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?
Answer:
42 and 44
Step-by-step explanation:
The even numbers are numbers which can be written as 2n where n is any integer number.
Therefore, two consecutive numbers would be "2n" and "2n + 2"
We then have that
2n + (2n+2) = 86
4n + 2 = 86
4n = 84
n = 21
And the even number 2n is 2(21) = 42.
(We can verify this answer by doing 42 + 44 = 86)
show that (f o g)(x) = (g o f)(x) = x
f(x)= [tex]\frac{3}{x-1}[/tex]
g(x)= [tex]\frac{2}{x}[/tex]
Answer:
[tex] - \frac{2[1 - x]}{3} = g[f(x)] \\ \\ \frac{3x}{2 - x} = f[g(x)][/tex]
Step-by-step explanation:
They are not.
For the g[f(x)] function, you substitute ³/ₓ ₋ ₁ from the f(x) function in for x in the g(x) function to get this:
[tex] \frac{2}{ \frac{3}{x - 1}} [/tex]
Then, you bring x - 1 to the top while changing the expression to its conjugate [same expressions with opposite symbols]:
[tex] - \frac{2[1 - x]}{3}[/tex]
You could also do this [attaching another negative would make that positive].
For the f[g(x)] function, ²/ₓ from the g(x) function for x in the f(x) function to get this:
[tex] \frac{3}{ \frac{2}{x} - 1}[/tex]
Now, if you look closely, ²/ₓ is written as 2x⁻¹, and according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
[tex] \frac{3x}{2 - x} [/tex]
When this happens, x leaves the two and gets attached to the three, and 1 gets an x attached to it.
I am joyous to assist you anytime.
Colton and gage were building a castle together. Colton was 3 times as fast at building the castle than gage. If it takes 80 blocks to build the castle, how many blocks did colton build on the castle?
Answer:
60
Step-by-step explanation:
For each 3 blocks Colton placed, Gage place 1, so Colton placed 3/4 of the total number blocks.
3/4 × 80 = 60
Colton placed 60 blocks on the castle.
Answer:
60
Step-by-step explanation:
Let M ∈ N >1 . Let M be a non-perfect square. Or in other words M /∈ {4, 9, 16, · · · } (a) Prove that there exists a prime p, whose exponent in the prime factorization of M is odd. [Hint: Prove by a method of contradiction]
Answer:
Step-by-step explanation:
By the fundamental theorem of arithmetic given [tex]n\in \mathbb{N}_{\ge2}[/tex] there exists primes [tex]p_{i}[/tex] and integers [tex]\alpha_i[/tex] such that [tex]n[/tex] can be written as [tex]n=p_1^{\alpha_1}p_2^{\alpha_2}p_3^{\alpha_3}\cdots p_t^{\alpha_t}[/tex], now suppose that [tex]n[/tex] is a non-perfect square, we are going to prove that there exists [tex]\alpha_i[/tex] such that is odd. By contradiction, suppose that [tex]\alpha_i[/tex] is even for all [tex]i[/tex], then writing [tex]\alpha_i=2\beta_i[/tex] for all [tex]i[/tex], we can write [tex]n=p_1^{\alpha_1}p_2^{\alpha_2}p_3^{\alpha_3}\cdots p_t^{\alpha_t}= p_1^{2\beta_1}p_2^{2\beta_2}p_3^{2\beta_3}\cdots p_t^{2\beta_t}=(p_1^{\beta_1}p_2^{\beta_2}p_3^{\beta_3}\cdots p_t^{\beta_t})^2[/tex], thus we conclude that [tex]n[/tex] is perfect square, a contradiction, and then we conclude that there exists [tex]\alpha_i[/tex] such that is odd.
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Which graph shows a system of equations with exactly one solution?
Answer:
The last graph, where the functions intersect at only one point.
Step-by-step explanation:
A system of equations with only one solution is the one that in some point the solutions of each ecuation is exactly the same. In the graphs 1 and 3, where the equations does not intersect each other, the system of equations have no solution. In the second graph, the equations intersect 2 times, so the system of equations have 2 solutions.
Answer:
The last graph:/ D
Step-by-step explanation:
i got it right on the test
If a company charges x dollars per item, it finds that it can sell 1500 - 3x of them. Each item costs $8 to produce.
(a) Express the revenue, R(x), as the function of price.
(b) Express the cost, C(x), as a function of price.
(c) Express the profit, P(x), which is revenue minus cost, as a function of price.
The profit is $496.30
a. The revenue function will be calculated thus:
R(x) = (1500 - 3x) × x
R(x) = 1500x - 3x²
b. The cost function will be:
C(x) = 8 × x = 8x
c. The profit function will be:
P(x) = Revenue - Cost
= 1500x - 3x² - (8x)
= 1500x - 3x² - 8x
Divide through by x
= (1500x - 3x² - 8x) / x
= 1500 - 3x - 8
1500 - 3x - 8 = 0
Collect like terms
3x = 1500 - 8.
3x = 1492
x = 1492/3
x = 496.3
The profit is $496.30
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Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.
2x + y − 3z= −20
x + 2y + z= −3
x − y + 5z= 19
What is the solution to the system of equations?
Take the augmented matrix,
[tex]\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right][/tex]
Swap the row 1 and row 2:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right][/tex]
Add -2(row 1) to row 2, and -1(row 1) to row 3:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right][/tex]
Add -1(row 2) to row 3:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right][/tex]
Multiply through row 3 by 1/9:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right][/tex]
Add 5(row 3) to row 2:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right][/tex]
Multiply through row 2 by -1/3:
[tex]\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right][/tex]
Add -2(row 2) and -1(row 3) to row 1:
[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right][/tex]
So we have [tex]\boxed{x=-3,y=-2,z=4}[/tex].
Answer:
1 0 0 -3
0 1 0 -2
0 0 1 4
AND
(-3, -2, 4)
Step-by-step explanation:
I don't have a step-by-step explanation because I still don't understand this sh*t myself. The reason I know it's the right answer is because I just got a 30% on my quiz and it shows you the right answers after. Good luck in this class! You're gonna need it.
and a list of numbers the pattern increases by 0.001 as you move to the right if the third number list is 0.0 64 what is the first number in the list answer
Answer:
0.062
Step-by-step explanation:
The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...
3rd number: 0.064
2nd number: 0.064 -0.001 = 0.063
1st number: 0.063 -0.001 = 0.062
A cable service provider charges $40 per month for its basic package plus an additional $5.35 for each premium channel chosen. The average cost for cable per additional channel is given by the expression 5.35x + 40 / x, where x is the number of premium channels added to the basic package. What does the quotient 40/x represent?
Answer:
the answer will be d.PLATO users
Which expression shows the sum of the polynomials with like terms grouped together? 10x2y + 2xy2 - 4x2 - 4x2y
A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2
B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]
C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]
D. [10x2y + 2xy2 + (-4x2y)] + (-4x2)
Answer:
The answer to your question is letter C
Step-by-step explanation:
A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2 : in this polynomial the first term is not a like term, then this is incorrect.
B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)] : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.
C. (-4x2) + 2xy2 + [10x2y + (-4x2y)] ; This polynomial is the right answer because the like terms are grouped.
D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.
What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bracket five-halves end bracket superscript negative x
Answer:
a) 0.4
Step-by-step explanation:
Got it right on quiz
The multiplicative rate of change for the exponential function is 5/2, indicating that the function increases by a factor of 5/2 for each unit increase in x.
The multiplicative rate of change for an exponential function
[tex]\( f(x) = a \times b^x \)[/tex]
is given by the base of the exponential term, b .
In the function
[tex]\( f(x) = 2 \left(\frac{5}{2}\right)^{-x} \),[/tex]
the base of the exponential term is 5/2.
So, the multiplicative rate of change is 5/2
The price of one share of Starbucks declined five dollars per day for four days in a row. How much did the price of one share change in total after the four days?
Answer:
Each share lost $20 in value over 4 days time
Step-by-step explanation:
$5 loss for 4 days
5 x 4 = 20
$20 loss in 4 days.
In terms of paying less in interest, which is more economical for a $150,000 mortgage: a 30-year fixed-rate at 8% or a 20-year fixed-rate at 7.5%? How much is saved in interest?
Answer:
20-year fixed-rate at 7.5%$106,219.32Step-by-step explanation:
The shorter the term, the lower the amount of interest.
The lower the interest rate, the lower the amount of interest.
The loan that has both a shorter term and a lower interest rate will cost less in interest.
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The total of payments for the 30-year loan is 396,232.87.
The total of payments for the 20-year loan is 290,013.55.
The amount saved by taking the shorter loan is the difference of these amounts: $106,219.32.
_____
You can use an amortization formula, spreadsheet, or a financial calculator to compute the payments for each loan. The total repayment amount is the product of the monthly payment and the number of them, 360 for the 30-year loan; 240 for the 20-year loan.