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Ket [755]
2 years ago
5

Tim goes on a car journey.

Mathematics
1 answer:
Lesechka [4]2 years ago
7 0

Answer:

1. Attached

2. 25 mph

Step-by-step explanation:

1. Tim travels first 15 minutes =\frac{1}{4} hour at average speed of 40 mph and passed

40\times \dfrac{1}{4}=10\ miles

2. Time stops for 25 minutes (distance traveled = 0 miles).

3. He then completes the journey at an average speed of 45 mph. The total journey time is 1 hour, then he was travelling at 45 mph for

60-15-25=20\ minutes=\dfrac{1}{3}\ hour

and covered

45\times \dfrac{1}{3}=15\ miles.

The distance-time graph for his journey is attached.

Find the average speed for the whole journey:

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}=\dfrac{10+15}{1}=25\ mph

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. A cyclist pedals his bike 6.5 km up a mountain road, which has a steady incline. By the time he has reached the top of the mou
Elan Coil [88]

Answer:

9.72°

Step-by-step explanation:

Step one

Given data

let the hypotenuse be the distance the cyclist traveled = 6.5km

and let the opposite be the height of the mountain = 1.1 km

Step two:

<u>Applying SOH CAH TOA</u>

sin ∅= opp/hyp

∅= sin-1 opp/hyp

∅= sin-1 1.1/6.5

∅= sin-1 0.169

∅= sin-1 0.169

∅=9.72°

5 0
1 year ago
A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen
Aneli [31]

Answer:

Thus, option “c” 10% is correct.

Step-by-step explanation:

The percentage of students that like dubstep = 30%

The percentage of students that like trance music = 25%

The percentage of student that wants only house music = 20%

The percentage of students that like bot dubstep and trance = 15%

Now we have to find the percentage of students that like trance music but nor dubstep.

The percentage of students that like the trance music but nor dubstep = 100% - 30% – 25 % - 20% - 15%

The percentage of students that like trance music but nor dubstep = 10%

Thus, option “c” 10% is correct.

6 0
2 years ago
The hypotenuse of a right triangle is 14 in. If the base
antoniya [11.8K]

Answer:

13.85

Step-by-step explanation:

U use the pythagorean theorem

So 2^2 + x^2 = 14^2

Simplify the equation: 4+x^2=196

--> x^2=192

--> x=13.85

-Hope this helps :)

8 0
2 years ago
The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job
Mnenie [13.5K]

Answer:

0.8753

Step-by-step explanation:

Calculate the probability that your job will be ready before 10.01 am

Here, the parameter of an Exponential is E(X)=12

Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ

Therefore, E(Y) =1/12

Here, The third job will be ready for 10:01 AM, then E(Y)=61/12

Therefore, the required probability is

P(X\geq 3)=1-P(X

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

8 0
2 years ago
The monthly salary of Mr. Sachdev gets increased by 5%, thereby his salary becomes Rs. 15,120 per annum, His earlier monthly sal
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1. x = 15120/12 = 1260 (monthly salary)
2. 1200 x 0.05 = 60 (raise)
Check: 1200+60=1260
6 0
2 years ago
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