Answer:
See explanation
Step-by-step explanation:
1. 15x+3m. 15 represents the fee per ride, x, and 3 gets added to the total cost depending on how many miles, m, you go.
Everytime you see per, that usually means "some value times a variable"
2. 17 miles would cost 66. 15(1)+3(17)= 15+ 51= 66.
3. 10 miles, because 15(1 ride)+3(10 miles)= 45 dollars.
I tried
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
Answer:
Step-by-step explanation:
Answer: C) a=18
Step-by-step explanation: Hope i helped :)
A population of values has a normal distribution with �=189.7 and �=96.7. You intend to draw a random sample of size �=62.
Find the probability that a single randomly selected value is between 189.7 and 213.
P(189.7 < X < 213) =
Find the probability that a sample of size �=62 is randomly selected with a mean between 189.7 and 213.
P(189.7 < M < 213) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.
Step 1: Calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
For 189.7:
z1 = (189.7 - 189.7) / 96.7 = 0
For 213:
z2 = (213 - 189.7) / 96.7 ≈ 0.2417
Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.
P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939
Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.
To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance
Step 1: Calculate the standard error of the mean (σ_m) using the formula:
σ_m = σ / sqrt(n)
σ_m = 96.7 / sqrt(62) ≈ 12.2878
Step 2: Convert the given qualities to z-scores utilizing the equation:
z = (x - μ) / σ_m
For 189.7:
z1 = (189.7 - 189.7) / 12.2878 = 0
For 213:
z2 = (213 - 189.7) / 12.2878 ≈ 1.8967
Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.
P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702
Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.
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I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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Need help please!!!!!!!
Answer:
yes ASA
Step-by-step explanation:
find the sum
-84 + (-11)
Answer:
-84+(-11)= -95
-84 + (-11) = -84 - 11 = -95
By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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s with Mean, Median, and Mode: Mastery Test
The company's allocation for expense
accounts on the average is $150 per
month. Pat has just received his
quarterly statement for his expense
account and the amount for the quarter
is $576. A quarter is three months.
The difference between Pat's monthly average income and the Company's allocation is $41
Company's average allocation per month = $150
Pat's total expenses as per the quarterly account statement = $576
Average: The core value of a set of data is expressed as the average of a list of variables. It is defined mathematically as the ratio of the total number of data points to the number of units in the list.
Now, Average = Sum of observation/Total no. of observations
It is given that a quarter is of 3 months
Average = 576/3
Average = $191
The difference between Pat's monthly average income and the company's allocation is = Pat's average income - Company average allocation
= 191 - 150
=$41
Hence, the difference is $41
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find the value of ...B
Answer:
b=–2
Step-by-step explanation:
we've got:
(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243
and we've also got the coefficient of x³ as –720
90b³=–720===> b³=–8===> b=–2
A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water. What is the velocity of the boat relative to shore?
The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.
Define velocity.The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity. Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
Given
A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.
Velocity,
v = √(1.65)² + (10.7)²
v = √2.722 + 114.49
v = √117.212
v = 10.82
The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.
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Each month, Angela budgets $1340 for fixed expenses, $850 for living expenses, and $60 for annual expenses. Her annual net income is $26,760.
Hmm alright lets see what can be done
Step-by-step explanation:
2,190 times 12( months ) = 26,280 + 60 for annual expenses gives her 420 dollars left after a year
Answer:
Step-by-step explanation:
I took the test
Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
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At one of New York’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and direct the traffic. The hourly traffic pattern from 12:00 p.m. to 10:00 p.m. mimics the random numbers generated between 5 and 25. (This holds true if there are no external factors such as accidents or car breakdowns.)
The random variable is the number of cars held up at the intersection.
A random variable is one whose value is aleatory, then you can not know anticipatedly the outcome for sure. In this case, the number of cars held up at the intersection may be different at any time inside the range given and you cannot know the number of cars that there will be in a future moment.
1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years. Assume σ= 1.1 years. Find the 95% confidence interval.
Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
The Highway Safety Department wants to study the driving habits of individuals. A sample of 121 cars traveling on the highway revealed an average speed of 60 miles per hour with a standard deviation of 11 miles per hour. Determine a 95% confidence interval estimate for the speed of all cars.
Answer:
{58.02007 , 61.97993]
Step-by-step explanation:
Data are given in the question
Sample of cars = n = 121
Average speed = sample mean = 60
Standard deviation = sd = 11
And we assume
95% confidence t-score = 1.97993
Therefore
Confidence interval is
\(= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }]\)
= {58.02007 , 61.97993]
Basically we applied the above formula to determine the confidence interval
what is the value of x
We have to find the output of a function, if the input is -7.
The input in this case is the value of x, which is the independent variable.
The output is the value of y, and we will calculate it as:
\(\begin{gathered} x=-7 \\ y=\sqrt{-7x}+3x \\ y=\sqrt{\lbrack-7\cdot(-7)\rbrack+3(-7)} \\ y=\sqrt{49}-21 \\ y=7-21 \\ y=-14 \end{gathered}\)If the input is x=-7, the output will be y=-14.
3) We have another function, and the input is x=-7
We evaluate y as:
\(y=|\frac{x-6}{6-x}|=|\frac{(-1)(6-x)}{6-x}|=|-1|=1\)The output is y=1 for any input (also x=-7).
A)?
B)?
C)?
D)?
Which one?!
Answer:
C. pentagon, not regular
(yeah sorry for the wrong answer before, i got confused with the concept T^T)
Answer:
C
Step-by-step explanation:
there are 5 sides to the shape however they are not all the same length meaning it is irregular
The total angle of a kite is............
Since a kite is a quadrilateral, it has the value of 360 total degrees.
how many ways can i choose 5 goldfish from 28
Answer:
5 3/5 or 5
Step-by-step explanation:
Because it is
You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
(pls help this assignment is due today)
Answer:
38.5cm³
Step-by-step explanation:
1ml = 1cm³
38.5ml = 38.5cm³
which characteristic of water will allow a paper clip to remain floating on water when the paper clip is gently placed on top of the water
Answer:
surface tension
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%
well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.
if we take 300 to be the 100%, what is 50 bucks off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7\)
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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Assume that a sample is used to estimate a population proportion p. Find the 95% confidence for a sample of size 246 with 52% successes. Enter your answer as an open -interval using decimals
Using the z-distribution, the 95% confidence interval for the proportion is given as follows:
(0.4576, 0.5824).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The other parameters for the interval are given as follows:
\(n = 246, \pi = 0.52\).
The lower and upper bound of the interval, respectively, are given by:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)
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USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
Have a great valentines day, I'll give brainliest
Answer:
happy valentines day to u as well!
Step-by-step explanation:
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
A police checkpoint is set up on New Years Eve to catch drunk drivers. It is known that 8% of drivers on New Years Eve have a blood-alcohol level that is above the legal limit. It is also known that 32% of drivers in the area never drink and drive, but are simply bad drivers. The remaining 60% of drivers never drink and drive and are good drivers. At this particular checkpoint, the police stop 85% of the drunk drivers, stop 38% of the bad drivers, and stop 2% of the good drivers. (a) There are four key events in this problem. Specify the four key events and define notation for each of them. (b) What is the probability that a randomly selected driver will be stopped at the checkpoint? (c) What is the probability that a driver who is stopped at the checkpoint is drunk?
Answer:
(a) Let the probability drivers are drunk = P(D) = 0.08
The probability that drivers in the area never drink and drive, but are simply bad drivers = P(B) = 0.32
The probability that drivers in the area never drink and drive, and are good drivers = P(G) = 0.60
Let S = event that the police stops the driver.
(b) The probability that a randomly selected driver will be stopped at the checkpoint is 0.2016.
(c) The probability that a driver who is stopped at the checkpoint is drunk is 0.337.
Step-by-step explanation:
We are given that 8% of drivers on New Years' Eve have a blood-alcohol level that is above the legal limit. It is also known that 32% of drivers in the area never drink and drive, but are simply bad drivers. The remaining 60% of drivers never drink and drive and are good drivers.
At this particular checkpoint, the police stop 85% of the drunk drivers, stop 38% of the bad drivers, and stop 2% of the good drivers.
(a) Let the probability drivers are drunk = P(D) = 0.08
The probability that drivers in the area never drink and drive, but are simply bad drivers = P(B) = 0.32
The probability that drivers in the area never drink and drive, and are good drivers = P(G) = 0.60
Let S = event that the police stops the driver
These are the four events stated in the question.
(b) So, the probability that the police stop the drunk drivers = P(S/D) = 0.85
The probability that the police stop the bad drivers = P(S/B) = 0.38
The probability that the police stop the good drivers = P(S/G) = 0.02
Now, the probability that a randomly selected driver will be stopped at the checkpoint is given by = P(S)
P(S) = P(D) \(\times\) P(S/D) + P(B) \(\times\) P(S/B) + P(G) \(\times\) P(S/G)
= (0.08 \(\times\) 0.85) + (0.32 \(\times\) 0.38) + (0.60 \(\times\) 0.02)
= 0.068 + 0.1216 + 0.012
= 0.2016
Hence, the probability that a randomly selected driver will be stopped at the checkpoint is 0.2016.
(c) Now, the probability that a driver who is stopped at the checkpoint is drunk is given by = P(D/S)
P(S/W) = \(\frac{P(D) \times P(S/D)}{P(D) \times P(S/D)+P(B) \times P(S/B)+P(G) \times P(S/G)}\)
= \(\frac{0.08\times 0.85}{0.08\times 0.85+0.32\times 0.38+0.60\times 0.02}\)
= \(\frac{0.068}{0.2016}\) = 0.337
Hence, the probability that a driver who is stopped at the checkpoint is drunk is 0.337.