MATHEMATICS COLLEGE

I travelled at 60km/hour and took 2hours for a certain journey.How long would it have taken me if I had travelled at 50km/hour?

Answers

Answer 1

Answer:

Answer:

if you would travel 50km/h then the time will be 2.4hours

Step-by-step explanation:

speed=v1=60km/h

time=t1=2h

speed=v2=50km/h

time=t2=?

as we know that

v1×t1=v2×t2

evaluating the expression

(v1×t1)/v2=t2

putting values

$(60km/h*2h)/(50km/h)=t2$

$(120km/h^2)/(50km/h)=t2$

2.4hours=t2

i hope this will help you :)

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K = (°F + 460) ÷ 1.8 Find the temperature in Kelvin, on a balmy Autumn day, where the thermometer reads 56 Farenheit. A) 286.67 Kelvin. B) 315.56 Kelvin. C) 884.00 Kelvin. D) 918.88 Kelvin.
1/8 + 1/10 + 1/12 + 1/4
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,500 students wore their school colors while 300 students did not wear green and white. What percent of the school population did not wear their school colors?
In ΔVWX, the measure of ∠X=90°, XW = 24, WV = 25, and VX = 7. What ratio represents the tangent of ∠W?

Find the indicated probability. a bag contains four chips of different colors, including red, blue, green, and yellow. a chip is selected at random from the bag and then replaced in the bag. a second chip is then selected at random. make a list of the possible outcomes (for example rb represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (hint: there are 16 possible outcomes.)

Answers

Answer:

0.25

Step-by-step explanation:

Let

r = red

b = blue

g = green

y = yellow

If the first chip is r, the second can be r, b, g or y. The 4 possibilities are rr, rb, rg, ry.
If the first chip is b, the second can be r, b, g or y. The 4 possibilities are br, bb, bg, by.

If the first chip is g, the second can be r, b, g or y. The 4 possibilities are gr, gb, gg, gy.

If the first chip is y, the second can be r, b, g or y. The 4 possibilities are yr, yb, yg, yy.

From the 4 + 4 + 4 + 4 = 16 possible outcomes, there are 4 in which the chips are of the same color (rr, bb, gg, yy). The probability that the two chips selected are the same color is

4/16 = 0.25 = 25%

Ariana’s annual(year) pay is $34,320. What is her average gross pay?9.Per Month?
10.Per week?
11.Per day?

Answers

Answer:

9. $2,860 per month

10. $660 per week

11. $94 per day (not 100% sure on this one, not sure if its getting techinical with working 5 days a week)

Step-by-step explanation:

9. $34,320 divide by number of months in a year (12)

10. $34,320 divide by number of weeks in a year (52)

11. $34,320 divide by number of days in a year (365)

Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)

Answers

Answer:

5.47% of the total variation between the two variables can be explained by the regression line.

Step-by-step explanation:

Given :

R value = 0.234

The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.

However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².

R² value is Obtained by taking the squared of the correlation Coefficient

Hence,

R² = 0.234² = 0.054756

R² = 0.05476 * 100% = 5.4756%

Hence, R² = 5.48%

This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.

Helpppp asap pleasee

Answers

Answer:

I think 1 is the right answer

Step-by-step explanation:

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 10 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent will enter into a relationship every month. What is the steady-state fraction of residents who are uninvolved

Answers

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\nU&0.85&0.15\nM&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\n0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\n\n0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\n\n\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\n\n\n\pi_M+\pi_U=1\n\n1.5\pi_U+\pi_U=1\n\n\pi_U=1/2.5=0.4 \n\n \pi_M=1.5\pi_U=1.5*0.4=0.6$