Answer:
The distance to the market is 2000 m
Step-by-step explanation:
∵ John runs to the market and comes back in 15 minutes
→ Change the min. to the sec. because the unit of his speed is m/s
∵ 1 minute = 60 seconds
∴ 15 minutes = 15 × 60 = 900 seconds
→ Assume that t1 is his time to the market and t2 is his time from
the market
∵ t1 + t2 = 15 minutes
∴ t1 + t2 = 900 ⇒ (1)
→ Assume that the distance to the market is d
∵ His speed on the way to the market is 5m/s
∵ Time = Distance ÷ Speed
∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)
∴ t1 = 0.2d ⇒ (2)
∵ His speed on the way back is 4m/s
∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)
∴ t2 = 0.25d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 0.2d + 0.25d = 900
∴ 0.45d = 900
→ Divide both sides by 0.45
∴ d = 2000 m
∴ The distance to the market = 2000 m
Answer:
10200
Step-by-step explanation:
This is an example of a compound interest. The equation for this problem is 10000*(1+2/100)^n. The n is the year as 1999 is 1 year away from 1998, you just replace n with 1 and you have a simple equation.
If f(x)=x+1 and then x became 2, you would have the function f(x)=3. So basically for that function you would be going up three over 1. That function is already g(x)=4x. If X became 2, you would have g(x)=8x. The rate of up 8 and then over one. Because of that, g(x) would be higher
Answer:
a) No.
b) Yes.
c) Yes.
Step-by-step explanation:
a) No.
As being without replacement, the probabilities of each color in each draw change depending on the previous draws.
This is best modeled by an hypergeometric distribution.
b) Yes.
As being with replacement, the probabilities for each color is constant.
Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.
(With more than two colors, it should be "red" and "not red", allowing only two possibilities).
c) Yes.
The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.
Answer:
13 buttons
Step-by-step explanation:
The first step is to add the buttons received by the 6 students.
= 10 + 14 + 15 + 12 + 13 + 14
= 78 buttons
Therefore the number of buttons received by each students can be calculated as follows
= 78/6
= 13 buttons
Hence each student will receive 13 buttons
