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kotykmax [81]
3 years ago
15

A car and a motorcycle move in the same direction by the same highway. At the beginning, the distance between them is 105 km. Th

e car driver maintains an average speed of 90 km/h. What is the average speed of the motorcyclist, if the car driver caught up with him in 3 hours?
Mathematics
1 answer:
enot [183]3 years ago
6 0
Car:  distancec = 105 km + (90 km/hr)(3 hrs)

Cycle:  distancem = ratem(3 hrs)

Equate these 2 distances:  105 km + 270 km = ratem(3 hrs)

Then 375 km / 3 hrs = ratem = 125 km/hr    (average speed of the motorcyclist)
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Please help! I will mark as brainliest IF answer is right. <3
AlekseyPX
A) 3 dollars
b) P = 0.5x - 475
c)950
d)-200
5 0
3 years ago
John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i
MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0
3 years ago
Please help me on this
Nastasia [14]

Answer:

Points H, J, G, and K

Step-by-step explanation:

For quadrats the right top is 1

left top is 2

left bottom is 3

right bottom is 4

and it is asking for the forth one so look at the right bottom "square"

G and K are on the line but that still makes them part of a Quadratic Just they get to be part of 2 of them like...

G is 3 and 4

K is 1 and 4

5 0
2 years ago
Read 2 more answers
Triangle DEF has vertices located at D (2, 1), E (3,5), and F (6,2).
IRINA_888 [86]

Answer:

(A)

Length of DE = √17

EF = √18

DF = √17

(B) Slope of DE = 4

EF = 1

DF = 1/4

(C) Isosceles triangle.

Step-by-step explanation:

See attached image.

3 0
2 years ago
Triangle ABC is an equilateral triangle.Find the angle of rotation that maps A to B
svet-max [94.6K]

The sum of the inner angles of any triangle is always 180°, i.e. you have


\alpha + \beta + \gamma = 180


In the particular case of an equilater triangle, all three angles are the same, so

\alpha = \beta = \gamma


and the expression becomes


\alpha + \beta + \gamma = \alpha + \alpha + \alpha = 3\alpha = 180


which implies \alpha = 60


So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.


Of course, this is equivalent to a clockwise rotation of 120 degrees.


Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)

3 0
3 years ago
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