Answer:
12
Step-by-step explanation:
(12-9)(8)/2=12
Write an equation to represent the dollar amount in her savings account and the number of weeks of saving. Be sure to specify what each variable represents.
Complete the equation:
y=_____
Use x as your variable.
Answer:
y does brainly delete my answers when i answer questions but when i put something random they don't?
The equation of the line is y = 24x + 80 which represents the straight line shown in the graph.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
It is given that:
The graph of the straight line is shown in the picture
From the graph: the two points from the line passes:
(0, 80) and (5, 200)
The equation of the line:
y - 80 = (200-80)/(5)[x]
y = 24x + 80
Here x is the number of saving and y is the dollars in the saving account
Thus, the equation of the line is y = 24x + 80 which represents the straight line shown in the graph.
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what is the equation of the line that passes through the point (-2,-8) and has the slope of 1
Answer:
y=x-6
Step-by-step explanation:
please help asap!!!!
Answer:
12
Step-by-step explanation: 60
Which expression is equivalent to 3(x - 2)+2x?
-X
3x
5x - 2
5x -6
Hey there!
The answer to your question is the third option; \(5x-6\)
First, we'll start by simplifying your expression. Given:
\(3(x - 2)+2x\)
Distribute the \(3\):
\(3x-6+2x\)
Add \(3x\) and \(2x\):
\(5x-6\)
Therefore, the third option is correct.
Have a terrificly amazing day! :)
Complete the table using the equation y = 6x +3.
Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line. One train travels at 120 km/h and the other at 90 km/h. Assuming the track is straight, how far apart are they one hour before they meet?
pls help ( ˘︹˘ )
Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km
How to find the distance from speed and time?We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.
Speed of Train 1 = 120 km/h
Speed of Train 2 = 90 km/h
Time spent by train 1 = 1 hour
Time spent train 2 = 1 hour
Formula for distance is;
Distance = Speed * time
If they leave the same time each day, it means that;
Distance of train 1 = 120 * 1 = 120 km
Distance of train 2 = 90 * 1 = 90 km
Thus, distance at which they will be apart before meeting each other is;
Distance apart = 120 - 90
Distance apart = 30 km
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Work out 2/13 of £208
Answer:
£32Step-by-step explanation:
Work out 2/13 of £208
208 * 2/13 =
16 * 2 =
32
-----------------------
the tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (esp). a crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. the experiment was repeated seven times, and x, the number of decisions, was recorded. (assume that the seven trials are independent.) a. if the psychic is guessing (i.e., if the psychic does not possess esp), what is the value of p, the probability of a correct decision on each trial? b. if the psychic is guessing, what is the expected number of correct decisions in seven trials? c. if the psychic is guessing, what is the probability of no correct decisions in seven trials? d. now suppose the psychic has esp and p
a. The probability of a correct decision on each trial is 0.1.
b. The expected number of correct decisions in seven trials is 0.7.
c. The probability of no correct decisions in seven trials is approximately 0.478.
d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.
Therefore, the probability of a correct decision on each trial is -
p = 1/10 = 0.1
b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -
E(X) = np = 7 × 0.1 = 0.7
Therefore, the number of correct decisions is 0.7.
c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -
\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)
In this case, n = 7, x = 0, and p = 0.1.
Substituting these values into the formula, we get -
\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)
Therefore, the probability value is 0.478.
d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -
q = 1 - p
q = 1 - 0.5
q = 0.5
The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -
\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)
In this case, n = 7, x = 7, p = 0.5, and q = 0.5.
Substituting these values into the equation, we get -
\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)
Therefore, the probability value is 0.0078.
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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)
a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?
b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?
c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?
d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.
I need help on this problem..please and thanks u
Answer:
A is on a line with the slope of 2/3
Step-by-step explanation:
the rule is that you do y2-y1 over x2-x1 which you do 4-2 over 8-5 and your final answer you would get 2/3.
hope this helped!
i am new here and my name is arrianna call me arri for short
Answer:
a
Step-by-step explanation:
On Monday, 350 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. Which equation can be used to determine, x, how many students were in each bus ?
Answer:
(350-8)/9
Step-by-step explanation:
If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.
The parent function, fx) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and up
two units.
write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110
According to the question SELECT color FROM wax_crayons WHERE red < 110.
To write and run a query on the "wax.crayons" table to find all the crayon colors with a value for the column "red" that is less than 110, you can use the following SQL query:
```sql
SELECT color
FROM wax.crayons
WHERE red < 110;
```
- "SELECT color" specifies that we want to retrieve the "color" column from the table.
- "FROM wax_crayons" indicates that we are querying the "wax_crayons" table.
- "WHERE red < 110" sets the condition that the value of the "red" column should be less than 110 to filter the results.
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Remarks : The correct question of Technology : write and run a query on the wax.crayons table to find all the crayon colors with a value for the column red that is less than 110
Anyone? not to good at this will mark you as brainlist
Answer:
C
Step-by-step explanation:
simplify 12/2 . 12/3
Step-by-step explanation:
is that really all ?
to simplify 12/2 and 12/3 ?
well, 12 can be divided by 2 and by 3 without remainder.
and so we get
12/2 = 6/1 = 6
12/3 = 4/1 = 4
One angle of a right triangle measures 70°. What is the measure of the other acute angle?
Answer:
20%
Step-by-step explanation:
All angles of a triangle add up to 180 degrees.
A right triangle has one right angle, which means an angle is 90 degrees.
If another is 70 degrees then we already know two of them. Add them up to get 160 degrees. Then subtract that from 180 degrees to get 20 degrees. Hope it helps!
Brainliest please!
a rectangular tank that is 1372 ft3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight
The dimensions of the tank with minimum weight is height= 7 and width and length= 14.
The minimum surface area implies that the tank has minimum weight.
Given that the base is square, its width is equal to its length.
Let x= the base width and length of the tank.
Let h = the height .
We are given the volume of the tank that is 1372 ft^3. The formula is given by
V = hx^2
We're given that V = 1,372 ft^3, so
hx^2 = 1,372
h = 1,372 / x^2 ----------(equation 1)
Surface area can be calculated using the below given formula.
A = x^2 + 4xh
Substituting the value of euation 1, h in A, we get,
A = x^2 + 4x(1,372 / x^2)
= x^2 + 5,488 / x
To get the minimum surface area to get the minimum weight, we need to differentiate A with respect to x and equate it to zero.
dA/dx = 2x - 5,488 / x^2 = 0
2x^3 - 5,488 = 0
x =\(\sqrt[3]{\frac{5,488}{2} }\)
x= 14
We got the value of x, we substitute the value in equation 1, we get the value of h.
h = 1,372 / 14^2
h= 7
So, the dimensions of the tank with minimum weight are width and length is 14 and height is 7.
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8. A cell phone company charges $0.25 per text
sent. James wants to spend no more than $30
on sending texts each month. Which of the
following can James use to find t, the maximum
number of texts he can send per month?
SMS
A. 0.25t < 30
C. 0.25t = 30
B. 0.25t s 30
D. 0.25t 2 30
Answer:
B
Step-by-step explanation:
Solve the math problem
Answer:
Step-by-step explanation:
Find the area of the shape.
HELP I WILL GIVE BRAINLIEST!!!!!!!
Prenell is filling his car with gasoline. Regular unleaded gas costs $1.89 per gallon. Which two equations show the proportional relationship between the total cost, c, and the price per gallon, p, of gasoline?
(more than one answer)
a. p=1.89c
b. c=1.89/p
c. pc=1.89
d. c=1.89p
e. p/c=1.89
f. c/p=1.89
Answer:
Step-by-step explanation:
For all Plato users.
c = 1.89p and c/p = 1.89 these two equation shows the proportional relationship between the cost c, and price p.
What is Proportionality Constant?Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.
Here, Total cost = $c
Price per gallon = $ 1.89
Total cost = Price per gallon X total units
c = 1.89 X p
c = 1.89p
or, c/p = 1.89
Thus, c = 1.89p and c/p = 1.89 these two equation shows the proportional relationship between the cost c, and price p.
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abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
Consider the heat equation with the following boundary conditions U₁ = 0.2 Uxx (0
The heat equation with the boundary condition U₁ = 0.2 Uxx (0) is a partial differential equation that governs the distribution of heat in a given region.
This specific boundary condition specifies the relationship between the value of the function U and its second derivative at the boundary point x = 0. To solve this equation, additional information such as initial conditions or other boundary conditions need to be provided. Various mathematical techniques, including separation of variables, Fourier series, or numerical methods like finite difference methods, can be employed to obtain a solution.
The heat equation is widely used in physics, engineering, and other scientific fields to understand how heat spreads and changes over time in a medium. By applying appropriate boundary conditions, researchers can model specific heat transfer scenarios and analyze the behavior of the system. The boundary condition U₁ = 0.2 Uxx (0) at x = 0 implies a particular relationship between the function U and its second derivative at the boundary point, which can have different interpretations depending on the specific problem being studied.
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Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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Module 8: Homework 2 - Confidence Intervals (Mean) Score: 2/4 2/4 answered Question 1 A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 230 members were looked at and their mean number of visits per week was 3.5 and the standard deviation was 2.7. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a 2 distribution. b. With 95% confidence the population mean number of visits per week is between and visits. c. If many groups of 230 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week.
With a 95% confidence level, the calculated confidence interval using a 2-distribution is between 3.128 and 3.872 visits per week. This means that, on average, the population mean number of visits per week falls within this range. If many groups of 230 members are studied, around 95% of the resulting confidence intervals would contain the true population mean, while approximately 5% would not.
To compute the confidence interval, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))
a. Since the sample size is large (n = 230), we can use a normal distribution (Z-distribution) to compute the confidence interval. For a 95% confidence level, the critical value is 1.96.
b. Using the formula, we can calculate the confidence interval as follows:
Confidence Interval = 3.5 ± (1.96) * (2.7 / √(230))
Calculating the values:
Confidence Interval = 3.5 ± (1.96) * (2.7 / √230)
Confidence Interval = 3.5 ± 0.372
Rounding to 3 decimal places:
Lower bound = 3.5 - 0.372 = 3.128
Upper bound = 3.5 + 0.372 = 3.872
Therefore, with 95% confidence, the population mean number of visits per week is between 3.128 and 3.872 visits.
c. If many groups of 230 randomly selected members are studied, then approximately 95% of these confidence intervals will contain the true population mean number of visits per week, and about 5% will not contain the true population mean number of visits per week.
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How many different ways can six friends stand in line at the movies if Alice and David refuse to stand next to each other
Step-by-step explanation:
Let the other 4 friends arrange themselves first. There are 4! ways to do so.
Now there are 3 spaces between the 4 friends, and 1 at each end (total 5 spaces)
Example: _F_F_F_F_
Alice can choose to stand in any of the 5 spaces. David can choose to stand in any of the 4 remaining spaces (now Alice and David are not next to each other)
Total number of ways = 4! * 5 * 4 = 480.
Y’all know what this is ?
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
A plant that floats on the surface of rural bodies of water is known as duckweed. The initial mass of a population of duckweed is 500g The mass of the population triples every Ͷͷ hours and can be represented by the function m(t)= 500x3^t/45 where (t) is time in hours. Determine how many hours it would take for the duckweed to grow to a mass triple the original size.
Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.
Explain function.The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.
Here,
Given :
mass of a population of duckweed is 500g
=> function m(t)= 500x³^t/45
So,
=> t = 45 hours
Since it is given that the mass of the population of the duckweed triples every 45 hours
it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .
Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.
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In a control chart application, we have found that the grand average over all the past samples of 6 units is X-Double Bar = 25 and R-Bar = 5.
a) Set up X-bar and R Control charts.
A2= 483 D3=0 D4=2.004
.483*5=2.415+25=27.415=UCL
.485*5=25-2.415=22.585=LCL
LCL(R bar)=0
UCL=10.020
b) The following measurements are taken from a new sample: 33, 37, 25, 35, 34 and 32. Is the process still in control?
Based on the given data, the process is out of control.
To determine if the process is still in control, we need to compare the new sample measurements to the control limits established in the X-bar and R control charts.
For the X-bar chart:
The UCL (Upper Control Limit) is calculated as the grand average (X-Double Bar) plus A2 times R-Bar:
UCL = 25 + (0.483 * 5) = 27.415
The LCL (Lower Control Limit) is calculated as the grand average (X-Double Bar) minus A2 times R-Bar:
LCL = 25 - (0.483 * 5) = 22.585
For the R chart:
The UCL (Upper Control Limit) for the R chart is calculated as D4 times R-Bar:
UCL = 2.004 * 5 = 10.020
The LCL (Lower Control Limit) for the R chart is 0.
Given the new sample measurements: 33, 37, 25, 35, 34, and 32, we can determine if any of the measurements fall outside the control limits. If any data point falls outside the control limits, it indicates that the process is out of control.
Upon comparing the new sample measurements to the control limits, we find that the measurement 37 exceeds the UCL of the X-bar chart. Therefore, the process is considered out of control.
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separar en terminos y resolver: 25: (-2-3)² +(-1). (10-30)=
ayuda XD
The answer to the equation (-2-3)2 + (-1). (10-30) = 45.
BODMAS - what is it?Bracket, of, division, multiplication, addition, and subtraction is referred to as BODMAS. When describing how a mathematical statement behaves in a specific sequence, the BODMAS is utilised. The BODMAS is also known as PEDMAS, which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction.
According to the BODMAS rule, brackets must be solved first before powers or roots (i.e., division, multiplication, addition, and lastly subtraction), and then the remaining operations. The solution is only accepted as accurate when the BODMAS rule or the PEDMAS rule are applied to an expression.
Using the rule of BODMAS solve the parentheses first:
= (-5)² - 1 (- 20)
= 25 + 20
= 45
Hence, the value of the expression (-2-3)² +(-1). (10-30) = 45.
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