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stiks02 [169]
2 years ago
13

At noon (12:00), Annette rented a bicycle to travel around Stanley Park. She returned the bicycle at 4:00 pm (16:00) the same da

y after travelling 48 km. It cost $22 to rent the bicycle.
a. Determine Annette’s average speed in km/hr.


b. Determine the rental rate in dollars per hour. Round your answer to 2 decimal places.


c. Determine the rental rate in dollars per km. Round your answer to 2 decimal places.
Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

a. average speed is 12km/hr

b. $5.50 dollars per hour

c. $0.46 per km

Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km

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Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 time
jasenka [17]
A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.

Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one.  By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.

b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1.  There are 5 possibilities out of a total of 36, or 5/36.

c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1.  There are 6 out of 36, or 6/36=1/6.  Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.

d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6

There are 6 ways out of 36, or 6/36 = 1/6.  Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
7 0
2 years ago
Read 2 more answers
If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Li
Nina [5.8K]

Answer:

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those  pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

 \angle 6 and \angle 10 are Corresponding angles.

\angle5 and \angle 7 are Vertical angles.

Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.

7 0
1 year ago
Read 2 more answers
A salesman must commute 1 hour and 48 minutes from his house to the airport, fly to another city and take a bus to his destinati
irina [24]
5 hours and 54 minutes.
4 0
1 year ago
Read 2 more answers
In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3. Triangle D E F is shown. Line G H is drawn parallel to side D E within the
Komok [63]

Answer:

<DFE is congruent to <GFH

Step-by-step explanation:

you need an angle to prove SAS and <DFE is congruent to <GFH

5 0
1 year ago
The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d
Kruka [31]

Answer:

The probability that exactly 15 defective components are produced in a particular day is 0.0516

Step-by-step explanation:

Probability function : P(X=x)=e^{-\lambda} \frac{\lambda^x}{x!}

We are given that The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20.

So,\lambda = 20

we are supposed to find the probability that exactly 15 defective components are produced in a particular day

So,x = 15

Substitute the values in the formula :

P(X=15)=e^{-20} \frac{20^{15}}{15!}

P(X=15)=e^{-20} \frac{20^{15}}{15!}

P(X=15)=0.0516

Hence the probability that exactly 15 defective components are produced in a particular day is 0.0516

8 0
1 year ago
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