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qaws [65]
3 years ago
8

Kwan hiked up a hill at 4 km/h and back down at 6 km/h. His total hiking time was 3 hours. How long did the trip up the hill tak

e him?
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Let the time to hike up the hill  = t

As given that the total time time up and down is 3 hrs,  therefore

The time down the hill = 3-t

The distance up and down is the same.

Distance = speed * time

4t=6(3-t)

4t=18-6t

10t=18

t=1.8

Hence, time taken to uphill = 1.8 hours

Time taken to down hill = 3-18 = 1.2 hours

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101/25 converted to a mixed number
mamaluj [8]
Hi 
Let me help you out 

101/25 is a in proper fraction. 
To change the in proper fraction to a proper fraction you have to see which number is close to 101 by multiplying numbers to 25. You can also divide 101 by 25 which is 4 remainder 1. 
25*4=100
100 is close to 101

the answer would be 4&<span>1/25</span> 

if you like my answer and think it is helpful then please mark mine as brainliest 
answer thank you 

3 0
3 years ago
A weather forecaster predicts that there is a 45% probability of snow today. What is the probability that it will not snow?
Ilia_Sergeevich [38]
55% if the percent is out of 100%. in which most weather statisics are out of 100. in which you take 100-45= giving you 55%
8 0
3 years ago
What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
3 years ago
Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
3 years ago
How to write words to match the expression 3 (4 x 12)
Darya [45]
The answer is the product of 3 and the product of 4 and 12
6 0
3 years ago
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