Jason played golf at a rate of 6 holes in 24 minutes. How much longer would it take him to play 54 holes than 41 holes?

1.) What is the area of the circle shown below? 10cm

lana [24]

Answer:

A = 78.5 cm²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here diameter = 10 cm , then r = 10 cm ÷ 2 = 5 cm , so

A = π × 5² = 25π ≈ 78.5 cm² ( to the nearest tenth )

5 0

2 years ago

You track your commute times for three weeks (15 days), recording the following times in minutes: 17, 16, 20, 24, 22, 15, 21, 25

ale4655 [162]

Answer:

b) 15,90,24.133,20

c) New average = 19.4, New Median = 20

d) 8

e) 40%

f) Wednesday

Step-by-step explanation:

a) Mon Tue Wed Thu Fri

Week 1 17 16 20 24 22

Week 2 15 21 25 17 90

Week 3 16 17 22 20 20

This is a 3×5 matrix where the rows gives us the weeks(Week 1, Week 2, Week 3) and the columns are the weekdays(Mon, Tue, Wed, Thu, Fri).

b)The shortest duration out of the data given for fifteen days is 15 minutes.

The longest duration is 90 minutes.

To calculate the average of given data, we use the following formula:

Average = $\frac{\text{Sum of all observations}}{\text{Total no of observations}}$

= $\frac{17+16+20+24+22+15+21+25+17+90+16+17+22+20+20}{15}$

= $\frac{362}{15}$

=24.133

Median = the value that divides the data into two equal parts]

Ascending order: 15,16,16,17,17,17,20,20,20,21,22,22,24,25,90

Median = $(\frac{n+1}{2})\text{th term}$ = 8th term = 20

c) Mon Tue Wed Thu Fri

Week 1 17 16 20 24 22

Week 2 15 21 25 17 19

Week 3 16 17 22 20 20

New average = $\frac{\text{Sum of new observations}}{\text{Total no of observations}}$

= $\frac{17+16+20+24+22+15+21+25+17+19+16+17+22+20+20}{15}$

= $\frac{362}{15}$

=19.4

New Median

Ascending order: 15,16,16,17,17,17,19,20,20,20,21,22,22,24,25

Median = $(\frac{n+1}{2})\text{th term}$ = 8th term = 20

d) In order to know how many times we commute for 20 minutes or more, we check the entries that are greater than or equal to 20 minutes. We have 8 such entries. Thus, 8 times the commute was 20 minutes or more longer.

e) Percent of commutes less than 18 minutes = $\frac{\text{Commutes that are less than 18 minutes}}{\text{Total number of commutes} }$ × 100%

= $\frac{6}{15}$ ×100% = 40%

f) Average = $\frac{\text{Sum of all observations}}{\text{Total no of observations}}$

Average time spent in commuting on Monday = 16

Average time spent in commuting on Tuesday = 18

Average time spent in commuting on Wednesday = 22.3

Average time spent in commuting on Thursday = 20.3

Average time spent in commuting on Friday= 20.3

On Wednesday, we spent the most on commute time.

7 0

3 years ago

Calculate 16% of £50

masha68 [24]

Do 50 x 0.16 Which is 8. 50-8 =£42.00

8 0

4 years ago

Read 2 more answers

The formula for the circumference of a circle is c-nd, where d is the length of the diameter. If d is a rational number, what ca

zimovet [89]

Answer:

could you add a pi

Step-by-step explanation:

6 0

3 years ago

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d

sammy [17]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number and the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are independent events because the probability of A happening does not influence the occuring of event B.

5 0

3 years ago