James lives in San Francisco and works in Mountain View. In the morning, he has 3 transportation options (bus, cab, or train) to work, and in the evening he has the same 3 choices for his trip home. If James randomly chooses his ride in the morning and in the evening, what is the probability that he'll take the same mode of transportation twice?
How do you do it??
Answer:
1/3
Step-by-step explanation:
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
The distance between the ships is changing at a rate of 39 km/hr at 4:00 PM. This is calculated using differentiation of the Pythagorean theorem relating distances between the ships.
Explanation:This is a typical
related rates problem
in calculus. Before we start, let's mark the distance between ship A and ship B as C, the distance that A traveled as X (X=35 km/hr*4 hr = 140 km), and the distance B traveled as Y (Y=20 km/hr*4 hr = 80 km). Note that X, Y, and C form a right triangle. By using the Pythagorean theorem, we get C²=X²+Y², which we can differentiate with respect to time (t) to obtain, 2C * dC/dt = 2X * dX/dt + 2Y * dY/dt. As we're solving for dC/dt (rate of change of the distance between the two ships), we get dC/dt = (X * dX/dt + Y * dY/dt) / C. Plugging in the known values (X=140 km, Y=80 km, dX/dt=35 km/hr, dY/dt=20 km/hr, and C=170 km, as it hasn't changed since they started), we get dC/dt = (140*35 + 80*20) / 170 = 39 km/hr. So, the distance between the ships is changing at a rate of 39 km/hr at 4:00 PM.
Learn more about Related Rates here:https://brainly.com/question/33509029
#SPJ11
A pitcher's arm rotates at a speed of 7 degrees per millisecond (degrees/ms)
At what speed does the pitcher's arm rotate in degrees/s?
To solve this problem, all we have to do is to use a conversion factor to convert millisecond into seconds. We know that there are 1000 milliseconds in a second, therefore:
pitcher’s arm rotation = 7 degrees / millisecond * (1000 milliseconds / second)
pitcher’s arm rotation = 7,000 degrees / second
Answer:
7000 Hope this helps and if it does remember to give me a like , please and thank you!
Which number is both a factor of 80 and a multiple of 4? Select three that apply.
A. 40
B. 1
C. 2
D. 8
E. 32
F. 16
What are the values of the 7 in the number 17,372
write the equation then solve to find the number:seventy four less than a number is 98
What is the apr of a 30 year 300000 mortage with monthly payments of 3000?
It is claimed that in a bushel of peaches, less than 10% are defective. a sample of 400 peaches is examined and 50 are found to be defective. what is the critical value for α = 0.025?
Final answer:
To find the critical value for α = 0.025 in a one-tailed test, we look at the standard normal distribution tables; the critical value is approximately -1.96.
Explanation:
The question pertains to hypothesis testing in the context of proportion analysis. To determine the critical value for a significance level α = 0.025 in a one-tailed test about a proportion, we use the standard normal distribution (Z-distribution). Given that the sample size is large (n=400), it is appropriate to use a Z-test for this calculation. The critical value corresponds to the Z-score that has 0.025 of the distribution's area to its right (since we are checking for 'less than 10% defective').
Referring to standard normal (Z) distribution tables or using statistical software, we can find that the critical value for α = 0.025 for a one-tailed test is approximately -1.96. This is the Z-score such that the area under the normal curve to the right of this value is 0.025. If the calculated Z-score obtained from the sample proportion is less than -1.96, we would reject the null hypothesis that the proportion of defective peaches is less than 10%.
Which is 0.54 (.54 is repeating) converted to a simplified fraction?
A) 27/50
B) 54/100
C) 6/11
D) 54/99
Answer:
B
Step-by-step explanation:
The answer above me ^^
a carpenter goes through 2 3/5 boxes of nails finishing 3 1/2 rooves. How much would he use finishing 8 roves?
What is the 80th percentile for the average height of 10 men?
The perimeter of a square is 32 centimeters. What is the length of one side?
Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.
The domain is {x|x ≤ –2}.
The range is {y|y ≤ 6}.
The function is increasing over the interval (–∞ , –2).
The function is decreasing over the interval (−4, ∞).
The function has a positive y-intercept.
Are the fractions equivalent? 12/15 and 20/25
what is the 13th term in the arithmetic sequence described by this explicit formula an=84+(n-1)(-6)
Answer:
12
Step-by-step explanation:
The formula given is [tex]a_n=84+(n-1)(-6)[/tex]
Where [tex]a_n[/tex] gives the nth term
Since we want 13th term, we can say we want [tex]a_{13}[/tex] and we plug in 13 in [tex]n[/tex] into the formula. So we get:
[tex]a_n=84+(n-1)(-6)\\a_{13}=84+(13-1)(-6)\\a_{13}=84+(12)(-6)\\a_{13}=84-72\\a_{13}=12[/tex]
So, the 13th term of the sequence is 12
A circle has a radius of 2.5 centimeters and a central angle AOB that measures 90°. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth
A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?
There are 10 less trumpet and saxophone players number of saxophone players three times the number of trumpet players how many trumpet players are there?
There are 3 trumpet players.
We have,
Let's assume the number of trumpet players is represented by "x".
According to the given information, the number of saxophone players is three times the number of trumpet players, so the number of saxophone players would be 3x.
It is also stated that there are 10 less saxophone players than the total number of trumpet and saxophone players.
So, the number of saxophone players would be (x + 3x) - 10, which simplifies to 4x - 10.
Since the number of saxophone players is equal to 4x - 10, we can set up an expression to solve for x:
4x - 10 = x
To isolate x, subtract x from both sides of the expression:
4x - x - 10 = x - x
This simplifies to:
3x - 10 = 0
Next, add 10 to both sides:
3x - 10 + 10 = 0 + 10
This yields:
3x = 10
Finally, divide both sides by 3:
(3x) / 3 = 10 / 3
The solution is:
x = 10/3 or approximately 3.33
Therefore,
There are approximately 3.33 trumpet players.
Since you cannot have a fraction of a player, we can conclude that there are 3 trumpet players.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What is the thickness t of the thin film of diamond? express your answer in nanometers using three significant figures?
The thickness of a thin film of diamond can be calculated using the formula t = (m * λ) / (2 * n), where m is the number of fringes, λ is the wavelength of light used, and n is the refractive index of diamond.
Explanation:The thickness of a thin film of diamond can be determined using the formula:
t = (m * λ) / (2 * n)
where t is the thickness, m is the number of fringes, λ is the wavelength of light used, and n is the refractive index of diamond.
In this case, the number of fringes is given as 14 per centimeter, which can be converted to 140 per meter. The wavelength of the light used is not provided, so we cannot determine the thickness without that information.
Edmundo used a number line to show the solution for the inequality |2x-6|<4 Which number line shows the solution? HURRY PLEASE
To solve the inequality |2x-6|<4, we break it down into two inequalities and solve for the range of values. Then, we can plot the solution on a number line.
Explanation:The given inequality is |2x-6|<4. To solve this inequality, we need to break it down into two separate inequalities:
2x-6<4-(2x-6)<4Solving these inequalities will give us the range of values that satisfy the original inequality. Once we have the solution, we can plot it on a number line.
Learn more about Solving inequalities here:https://brainly.com/question/26855203
#SPJ12
Answer:
Step-by-step explanation:
an absolute value has two solutions, one negative and one positive.
so 2x-6<-4
2x<2
x<1
and
2x-6<4
2x<10
x<5
1>x<5
Option A is correct
Find the value of a so that the differential equation y ' − xy − 6x = 0 has a solution of the form y(x) = a + bex2/2 for any constant
b.
Answer:
a = -6
Step-by-step explanation:
F(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (1, 2) to (2, 8) (a) find a function f such that f = ∇f.
order 56.2 56.32 56.321 from greatest you least
Find the product. Simplify if possible. −13⋅(817)
Kathy runs a 26.2- mile marathon at an average pace of 6.2 minutes per mile how long will it take her to finish
Kathy will complete the 26.2-mile marathon in approximately 2 hours and 42 minutes by multiplying the marathon distance by her average pace and converting the result from minutes to hours and minutes.
To calculate the time it will take for Kathy to finish a 26.2-mile marathon at an average pace of 6.2 minutes per mile, we simply multiply the distance of the marathon by her average pace per mile. This is a basic mathematics problem involving multiplication to determine the total time.
Here is the calculation:
Total marathon distance = 26.2 miles
Average pace = 6.2 minutes per mile
Total time = Total marathon distance x Average pace
Total time = 26.2 miles x 6.2 minutes per mile = 162.44 minutes
To convert minutes into hours and minutes, we know that there are 60 minutes in an hour. Therefore:
Hours = Total time / 60
Hours = 162.44 minutes / 60 ≈ 2.707 hours
Since we want hours and the remaining minutes, we can take the decimal part and multiply it by 60:
Remaining minutes = 0.707 x 60 ≈ 42.42 minutes
Hence, Kathy will complete the marathon in approximately 2 hours and 42 minutes.
A family has a monthly income of $3300 and plans to spend 11% of this amount on entertainment. How much will be spent on entertainment?
(3y)^-2(9y)^2/3y^-4=
Javier used the equivalent ratios to find the number of millimeters in 8 inches.
How many millimeters are in 8 inches?
127 mm
163.2 mm
167 mm
203.2 mm
What is the slope of the line that passes through th epoints (26, 7) and (-39, 12)?
Answer:
m = (12 - 7) / (-39 - 26) = 5/(-65) = -1/13
In the diagram, polygon ABCD is flipped over a line of reflection to form a polygon with its vertices at A′, B′, C′, and D′. Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not. The line of reflection is , and the coordinates of C′ are . NextReset