3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.
A sample of a radioactive isotope had an initial mass of 610 mg in the 1990 and decays exponentially over time. A measurement in the year 1992 found that the sample's mass had decayed to 340 mg. What would be the expected mass of the sample in the year 1997, to the nearest whole number?
we get that the equation that models the situation is:
\(m=610\cdot k^t^{}\)when t=2. We get that
\(340=610\cdot k^2\rightarrow k=\sqrt[]{\frac{340}{610}}\approx0.75\)so we get that after 7 years ( 1997 )
\(m=610\cdot(\sqrt[]{\frac{340}{610}})^7\approx79\)Rick bought a photo printer and supplies for $186.90, which will allow him to print photos for $0.29 each. a photo store charges $0.55 to print each photo. how many photos must rick print before his total cost is less than getting prints made at the photo store? more than 718 photos. less than 718 photos. more than 900 photos. not enough information to solve.
The 718.85 < x inequality says that : He must print 719 photos or more.
Inequality:
In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size. There are several notations used to represent various types of inequalities.
The notation a < b means a is less than b.The notation a > b means that a is greater than b.Given,
In the question:
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.
and, A photo store charges $0. 55 to print each photo.
To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?
Now,
According to the question:
Let the photos be x
Rick bought a photo printer be $186.90
A photo store charges $0. 55 to print each photo.
The question is based on inequality:
Photo Printer < photo store
1.86.90 + 0.29x < 0.55x
- 0.29x - 0.29x
______________________
1.86.90 < 0.26x
Divide by 0.26x on both sides = 718.85 < x
Hence, The 718.85 < x inequality says that : He must print 719 photos or more.
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find the missing length indicated
The missing length indicated is 35.
Let us give the name to the triangles
bigger triangle= ABC and smaller triangle = PQC
from the figure its clear that both triangle are congruent.
Therefore we know the formula,
BQ/BC = AP/AC
we have given that,
BQ=12, QC= 15 and AP=28
we have to find PC.
Formula is, BQ/BC = AP/AC
BQ/(BQ+QC) = AP /(AP+PC)
12/(12+15) = 28/ (28+x)
12(28+x) = 12 × 28
336+12x = 756
12x = 420
x = 420/12
x = 35
Therefore missing length is 35.
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The surface area of the cube shown
the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get
Answer:
3-4
because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is
4 3 3 3
Let fN(t) : t 0g be a counting process and define two new stochastic processes
fN1(t) : t 0g and fN2(t) : t 0g as follows. Each renewal point in the original process
is designated as either a renewal point of process N1(t) with probability p or of process N2(t)
with probability 1 ???? p where 0 < p < 1. Both of the resultant processes can be shown to be
renewal processes. By considering the distribution Fn(t) to the nth event in the process N(t),
show that
(a) The inter-event-time distribution for the processes N1(t) and N2(t) are given by
X1
n=1
(1 ???? p)n????1pFn(t) and
X1
n=1
pn????1(1 ???? p)Fn(t)
respectively.
(b) Show that the Laplace-Stieltjes transforms of the inter-event-time distributions for
processes N1(t) and N2(t) are given by
b F(s)1 =
p b F(s)
1 ???? (1 ???? p) b F(s)
and b F(s)2 =
(1 ???? p) b F(s)
1 ???? p b F(s)
respectively, where b F(s) is the Laplace-Stieltjes transform of the distribution of the
original process.
(c) Show that
M1(t) = pM(t) and M1(t) =
p
1 ???? p
M2(t) ;
where M(t) is the renewal function of the original process, M1(t) is the renewal function
of process N1(t) and M2(t) is the renewal function of process N2(t).
(d) If N(t) is a Poisson process, show that N1(t) and N2(t) are also Poisson processes.
(a) The inter-event-time distribution for the processes \(N_1(t)\) and \(N_2(t)\) are \(X1_n=1 (1-p)^{(n-1)} p F(t)\) and \(X1_n\)= \(1 p^{(n-1)} (1-p) F(t)\)
(b) The Laplace-Stieltjes transforms of the inter-event-time distributions for processes \(N_1(t)\) and \(N_2(t)\) are given by
\(b F_1(s)\) = \(X_n p (1-p)^{(n-1)} bF(s)^n\) and \(bF_2(s)\) = \(X_n (1-p) p^{(n-1)} bF(s)^n\)
(c) \(M_1(t)\) = pM(t) / (1 - (1-p)M(t))
\(M_2(t)\) = (1-p)M(t) / (1 - pM(t))
(d) As \(N_1(t)\) and \(N_2(t)\) has an exponential distribution with parameter (1-p) hence it is Poisson process.
(a) In the process \(N_1\)(t),
let \(F_1\) n(t) be the distribution function of the nth inter-event time, and
let \(F_2\) n(t) be the distribution function of the nth inter-event time (t).
Next, we have
\(F_1\)n(t) = P("the nth event is a renewal point of \(N_1\)(t)") P("the (n-1)th event is not a renewal point of \(N_1\)(t)") F(t)
= \(p (1-p)x^{(n-1)} F(t)\)
\(F_2\) n(t) = P("the nth event is a renewal point of \(N_2(t)\)") P("the (n-1)th event is not a renewal point of \(N_2(t)\)") F(t)
= \((1-p) p^{(n-1)} F(t)\)
The processes \(N_1(t)\) and \(N_2\) (inter-event-time )'s distribution is therefore provided by:
\(X1_n=1 (1-p)^{(n-1)} p F(t)\) and \(X1_n\)= \(1 p^{(n-1)} (1-p) F(t)\)
respectively.
(b) The Laplace-Stieltjes transform of \(F_1(t)\) is given by:
\(bF_1(s)\) = E[\(e^{(-sT1)}\)]
= \(X_n\) P("the nth event is a renewal point of \(N_1(t)\)") \(e^{(-sT1_n)}\)
= \(X_n p (1-p)^{(n-1)} e^{(-sX_n)}\)
where
\(T1_n\) is the nth inter-event time in \(N_1(t)\),
\(X_n\) is the time of the nth event in N(t).
By using the fact that \(X_n = T1_1 + T1_2 + ... + T1_n,\) we have:
b\(F_1(s)\) = \(X_n p (1-p)^{(n-1)} e^{(-s(T1_1+T1_2+...+T1_n)} )\)
= \(X_n p (1-p)^{(n-1)} e^{(-sT1_1) } e^{(-sT1_2)} ... e^{(-sT1_n)}\)
= \(X_n p (1-p)^{(n-1)} bF(s)^n\)
where
bF(s) is the Laplace-Stieltjes transform of the distribution of the original process.
Similarly, the Laplace-Stieltjes transform of \(F_2(t)\) is given by:
\(bF_2(s)\) = \(E[e^{(-sT2)} ]\)
= \(X_n (1-p) p^{(n-1)} ex^{(-sX_n)}\)
\(bF_2(s)\) = \(X_n (1-p) p^{(n-1)} bF(s)^n\)
(c) We observe that the inter-arrival durations of \(N_1(t)\) are exponentially distributed with parameter p, where is the rate of the original process, in order to determine the renewal function of \(N_1(t)\) . Well, here we are:
\(M_1(t) = E[N_1(t)]\)
= ∑n=\(0^{\infty }\)\(P[N_1(t) = n]\)
= ∑n
=\(0^{\infty }\)\((1-p)^n p^n M(np)\)
where
M(t) is the renewal function of the original process.
By using the geometric series formula,
by simplifying this expression to:
M1(t) = p∑n=\(0^{\infty }\)\([(1-p)M(t)]^n\) = \(p[1 - (1-p)M(t)]^{-1}\)
The inter-arrival times of \(N_2(t)\) are exponentially distributed with parameter (1-p)λ, and we have:
\(M_2(t)\) = \(E[N_2(t)]\)
= ∑n
=\(0^{\infty }\)P[N2(t) = n]
= ∑n
=\(0^{\infty }\)\(p(1-p)^n M(np)\)
By using the geometric series formula,
We can simplify this expression to:
\(M_2(t)\) = (1-p)∑n
= \(0^{\infty }\)\([pM(t)]^n\)
= (1-p)\([1 - pM(t)]^{-1}\)
Therefore, we have:
\(M_1(t)\) = pM(t) / (1 - (1-p)M(t))
\(M_2(t)\) = (1-p)M(t) / (1 - pM(t))
(d) The inter-arrival times have an exponential distribution with parameter if N(t) is a Poisson process with rate. The inter-arrival times for \(N_1(t)\) are exponentially distributed with the constant-rate parameter p. \(N_1(t)\) is a Poisson process with rate p, therefore it is also.
The inter-arrival durations for \(N_2(t)\)similarly follow a similar exponential distribution with parameter (1-p), which is also a constant rate. With rate (1-p), \(N_2(t)\) is likewise a Poisson process.
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which of these is a ratio table
Answer:
welcome
Step-by-step explanation:
c I know
find the two values of k for which y ( x ) = e k x is a solution of the differential equation y ' ' − 14 y ' 40 y = 0 . smaller value = larger value =
The given differential equation is: y'' − 14y' + 40y = 0. To find the two values of k for which y(x) = ekx is a solution of the differential equation, we first differentiate y(x) twice. We get y'(x) = ekxk and y''(x) = ekxk2. Now we substitute these values in the differential equation and get;ekxk2 − 14ekxk + 40ekxk = 0ekxk [k2 − 14k + 40] = 0k2 − 14k + 40 = 0Solving this quadratic equation gives us;k = 7 ± √9.
The two values of k are; Smaller value = 7 − √9Larger value = 7 + √9Now we need to simplify this further. We know that √9 = 3Therefore,Smaller value = 7 − 3 = 4Larger value = 7 + 3 = 10Therefore, the two values of k for which y(x) = ekx is a solution of the differential equation y'' − 14y' + 40y = 0 are 4 and 10. The smaller value is 4 and the larger value is 10.
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(8x2 + 5x – 9) - (3x2 – 5x + 1) = ?
Answer:
10x
Step-by-step explanation:
Square root 42 as a decimal
Answer:
6.481.
Square Root of 42 in Decimal Form: 6.481.
A right drawing triangle has a hypotenuse of 14 and a leg of 12, what is the length of the missing leg? Round to the nearest 10th.
Rounding to the nearest 10th, the length of the missing leg is approximately 7.2.
Using the Pythagorean theorem, we can solve for the missing leg:
a² + b² = c²
where a and b are the legs of the right triangle, and c is the hypotenuse.
Substituting the given values, we get:
12² + b² = 14²
Simplifying:
144 + b² = 196
Subtracting 144 from both sides:
b² = 52
Taking the square root of both sides:
b = 7.211
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Find the value of z.
Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions. tiva earns $48 for 6 hours of babysitting. complete each statement if tiva keeps earning her babysitting money at this rate.
As for Tiva's babysitting earnings, if she continues to babysit for 6 hours, she will earn $48, and if she babysits for 8 hours, she will earn $64.
To adjust the number of flowers for different-sized decorations based on the instructions, we need to consider the desired size relative to the medium-sized decoration. Let's complete the statements accordingly:
For a small-sized decoration, Pete should use flowers.
To adjust for a small-sized decoration, we can use fewer flowers compared to the medium-sized decoration. The specific number of flowers is not mentioned in the instructions, so we cannot provide a precise answer. However, we can suggest using a smaller proportion of flowers, such as 6 or 7 flowers, to create a smaller arrangement.
For a large-sized decoration, Pete should use flowers.
To adjust for a large-sized decoration, we can use more flowers compared to the medium-sized decoration. Again, the specific number of flowers is not provided in the instructions, so we can propose using a larger proportion of flowers, such as 12 or 15 flowers, to create a larger arrangement.
Regarding Tiva's babysitting earnings, we can complete the statements as follows:
If Tiva continues to babysit for 6 hours, she will earn dollars.
Since Tiva earns $48 for 6 hours of babysitting, we can calculate her earnings per hour by dividing the total earnings by the number of hours: $48 / 6 = $8. Therefore, if she continues to babysit for 6 hours, she will earn $8 per hour, resulting in a total of $48.
If Tiva babysits for 8 hours, she will earn dollars.
To determine Tiva's earnings for 8 hours of babysitting, we can multiply her earnings per hour ($8) by the number of hours: $8 * 8 = $64. Therefore, if Tiva babysits for 8 hours, she will earn $64.
In summary, to adjust the number of flowers for different-sized decorations, we can use a smaller proportion of flowers for a small-sized decoration and a larger proportion of flowers for a large-sized decoration.
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Solve:
.
.
.
PLS DON SPAM
The equation y=19x+350 represents the relationship between the total cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. The y-intercept is 350 and represents the total cost to rent the banquet hall . The slope is 19 and represents the cost per person attending
Further explanation
Answer and explanation:
The equation y=19x+350 representing the total cost for the banquet hall based on number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19) and therefore determines the total cost y which will be the cost of the banquet hall given number of people attending x
If we make an illustration with this equation, we could plug in a number of attendants x = 200 and then observe the total cost of the banquet hall y
If x=200
y=19x+350
y= 19×200+350
y= 3800+350
y= $4150
Therefore total cost of banquet hall if there are 200 guests at the banquet hall =$4150
The total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
Given that,
The equation y = 19x+350 represents the relationship between the total cost,
In dollars, y, to rent a banquet hall for a party, and the number of people attending, x.
The y-intercept is 350 and represents the total cost to rent the banquet hall. The slope is 19.
We have to determine,
The cost per person attending.
According to the question,
The equation y = 19x+350 representing the total cost for the banquet hall based on the number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19).
Therefore,
To determine the total cost y which will be the cost of the banquet hall given the number of people attending x.
Then, the total cost of the banquet hall y is,
\(y=19x+350\\\\y= 19\times200+350\\\\y= 3800+350\\\\y= 4150\)
Hence, the total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
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17. The weight of one serving of Hot Cheetos is 1.5 ounces. How many servings are
there in 7.5 ounces of Hot Cheetos?
Answer: takis are disgusting lol
Step-by-step explanation:
HELP ASAP 1.Find the total volume of the figure below
The volume of the given hollow block is: 816 in³
How to find the volume of a block?The formula for the volume of a block is:
Volume = Length * Width * Height
Now, we can see that there is a hollow part of the block and as such we can find the total volume without the hollow part and then subtract the volume of the hollow part to get:
Volume of block = (18 * 4 * 13) - (4 * 6 * 5)
Volume of block = 936 - 120
Volume of block = 816 in³
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multiple regression analysis: a) establishes a cause and effect relationship. b) does not produce measures of probable error. c) measures the change in one variable associated with the change in one other variable only. d) measures the change in one variable associated with the change in more than one other variable
The change in one variable related to the change in more than one other variable is measured using multiple regression analysis.
A statistical method known as multiple regression is used on datasets intended to show a link between a single response or dependent variable and a number of independent factors.
Even though linear regression is frequently employed, it can only be utilized with one independent variable and one dependent variable. Non-linear regression is not predicted by linear regression, which is also limited to the training dataset.
We employ multiple regression to account for the same restrictions. It focuses on removing one particular limitation, which is allowing for the analysis of multiple independent variables.
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A leaking faucet was found in one of the labs in S\&E building. If a faucet is dripping at a rate of one drop per second and each drop contains 0.150 milliliters, calculate how much water (in liters) will be lost in one year.
A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.
To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).
In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.
Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).
Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.
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Jimmy could type 80 words in a minute last week. After training, he can type 100 words now. What is the percentage increase of Jimmy's typing speed?
Answer:
25%
Step-by-step explanation:
100-80=20
80÷20=4
100÷4=25
25%
Divided 500g into the ratio 2 3
Answer:
]1:2:3:5]
Step-by-step explanation:
I'm not sure
how to do this question plz
Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
if a small segment of the population is sampled then an estimate will be less precise.group startstrue or false
True. If a small segment of the population is sampled, the resulting estimate will generally be less precise compared to sampling a larger portion of the population.
Precision refers to the degree of variation or uncertainty associated with the estimate.
Sampling a smaller segment of the population reduces the amount of information available to estimate the population parameter accurately. The estimate obtained from a small sample may be more susceptible to sampling variability, meaning it may deviate more from the true population parameter due to random sampling fluctuations.On the other hand, sampling a larger portion of the population provides more representative information, leading to a more precise estimate. A larger sample size reduces the impact of random variability and provides a more reliable estimate of the population parameter.To increase the precision of an estimate, it is generally recommended to have a larger sample size, ensuring that the sample is representative of the population and captures its variability adequately.
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given a population standard deviation of 6.8, what sample size is required to be 90onfident that the estimated mean has an error less than 0.02?
The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:
n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).
Substituting the given values in the formula, we get:
n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96
Rounding up to the nearest whole number, we get the required sample size to be 1911.
Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.
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In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
The cost is $10 for SUV's and $5 for cars. Twenty-five percent of the money raised goes to the football team, thirty percent goes to the soccer team and the remaining percentage goes toward the basketball team. Write an expression to represent how much the soccer team and football team will receive.''
Answer:
Let's start with calculating how much money is raised in total:
- Let's assume there are x SUVs and y cars.
- The cost for one SUV is $10 and the cost for one car is $5.
- Therefore, the total cost for all SUVs is 10x and the total cost for all cars is 5y.
- The total cost is the sum of these: 10x + 5y.
Now we need to calculate how much money each team will get. We know that:
- 25% of the money goes to the football team. This can be written as 0.25(10x + 5y) or 2.5x + 1.25y.
- 30% of the money goes to the soccer team. This can be written as 0.3(10x + 5y) or 3x + 1.5y.
- The remaining percent goes to the basketball team. This is 100% - 25% - 30%, which is 45%. This can be written as 0.45(10x + 5y) or 4.5x + 2.25y.
Therefore, the expression to represent how much the soccer team and football team will receive is:
2.5x + 1.25y + 3x + 1.5y = 5.5x + 2.75y
Help! Find the perimeter of the figure. Round to the nearest hundrest if nessary.
Answer: Your answer should be 10.8
Step-by-step explanation:
2.9+2.9+2.5+2.5
Pretty simple
Answer:
10.8 m
Step-by-step explanation:
To calculate the perimeter you must add up all the sides
= 2.5 + 2.5 + 2.9 + 2.9
= 10.8
If B =x²-7x + 4 and C=
x-9 find an expression that equals B+2C in stadard form.
Answer:
x²-5x-14
Step-by-step explanation:
(x²-7x+4)+2(x-9)
combine like terms and distribute
x²-7x+4+2x-18
x²-5x-14
which of the following ordered pairs are a solution to the equation y = 6x -3
(4,61)
(0,-3)
(-4,-27)
(1,3)
(0,-3) (-4,-27) (1,3) are the correct points
(4,61) doesn't work
Can someone plz help really quickly!? Thank you! Marking brainlyest to to the first and correct answer!! Worth a lot of points to!!
Answer:
I believe its A. 7/16 inches per hour
Step-by-step explanation:
This is wrong don't put this