MATHEMATICS HIGH SCHOOL

14. Craig jogs 12 km in 1 h. If he jogs at thesame rate, how long will it take him to jog
18 km?

Answers

Answer 1
Answer:

Answer: 1:30 (one hour and thirty minutes)

Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.
Answer 2
Answer:

Answer:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

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With which information can you construct a unique rhombus?

Answers

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how do you represent real- world problems involving ratios and rates with tables and graphs? PLEASE HELP! 10 POINTS!!!!!!

Answers

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Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6 A. (4, –1)
B. (0, –6)
C. (6, –1)
D. (–6, –6)

Answers

Answer:

D)  ( -6 , -6 ) .

Step-by-step explanation:

Given  : 2x – 6y = 24 and   –5x + 6y = –6 .

To find : Solve the following system by any method.

Solution : We have given that

2x – 6y = 24 -------(1)

–5x + 6y = –6 ------(2)

______________             ( Adding both equations)

-3x + 0 = 18.

________________

-3x = 18

On dividing by - 3 both sides

x = -6 .

Plugging the value x = -6 in equation 1.

2x - 6y = 24 .

2 ( -6) - 6y = 24.

-12 -6y = 24 .

On adding both sides by 12.

- 6y = 24 +12

-6y = 36

On dividing by -6 both sides.

y = -6 .

Solution ( -6 , -6 ) .

Therefore, D)  ( -6 , -6 ) .
2x - 6y = 24
-5x + 6y = -6
----------------add
-3x = 18
x = 18/-3
x = -6
 
2x - 6y = 24
2(-6) - 6y = 24
-12 - 6y = 24
-6y = 24 + 12
-6y = 36
y = 36/-6
y = -6

solution is : (-6,-6)

2. When a person is selected at random from a very large population, the probability that the selected person is righthanded is 0.82. If three people are selected at random, what is the probability that
a. They are all right-handed?
b. None of them is right-handed?

Answers

Answer:

a) 0.5514

b) 0.0058

Step-by-step explanation:

Data provided in the question:

Probability that the  the selected person is righthanded, P(R) = 0.82

Therefore,

Probability that the  the selected person is not righthanded, P(R') = 1 - 0.82

= 0.18

Now,

a. They are all right-handed

P (They are all right-handed) = P(R) × P(R) × P(R)

= 0.82 × 0.82 × 0.82

= 0.5514

b) None of them is right-handed

P (None of them is right-handed) = P(R') × P(R') × P(R')

= 0.18 × 0.18 × 0.18

= 0.0058

a population decrease from 404 million to 288 million .which of the following is the percent decrease of the population

Answers

288/404 = 0.71

Hence 0.71 x 100 = 71%
Example:
12 is 20% of 60. In order to get 12 percent of 60, all you need to do is to divide 12 with 60. To get the percent means to get the parts of 100. To get it in the form of percent, just multiply the quotient by 100. 12/60=.2 x 100 = 20% .

Answer:

Percentage decrease in Population = 28.71%

Step-by-step explanation:

Decrease in population = 404 Million - 288 Million = 116 Million

Percentage decrease in Population = (116 / 404)*100 = 28.71%

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula mc019-1.jpg.
49.1 minutes to 59.3 minutes
50.3 minutes to 58.1 minutes
54.2 minutes to 58.1 minutes
54.2 minutes to 59.3 minutes

Answers

Margin of error = z * δ/√n 

sample population = 50
mean = 54.2 minutes
standard deviation = 14.0 minutes
z-score = 2.58

2.58 * (14/√50) = 2.58 * 14/7.07 = 2.58 * 1.98 = 5.1084 or 5.11

54.2 + 5.11 = 59.31 minutes
54.2 - 5.11 = 49.09 minutes

Answer is: 49.1 minutes to 59.3 minutes

The confidence interval of the given statistics when calculated with the given parameters is; (49.1 minutes to 59.3 minutes)

How to find the confidence interval?

Formula for Margin of error is;

M = z * σ/√n

We are given;

Sample size; n = 50

mean; x' = 54.2 minutes

standard deviation;  σ = 14.0 minutes

z-score = 2.58

Thus;

M = 2.58 × (14/√50)

M = 5.11

Confidence interval is;

CI = x' ± M

CI = (54.2 + 5.1), (54.2 - 5.1)

CI = (49.1 minutes, 59.3 minutes)

Read more about confidence interval at;

brainly.com/question/6650225

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