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lozanna [386]
2 years ago
10

To get from point A to point B you must avoide walking through a pond. To avoide the pond, you must walk 34 meters south and 41

meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond
Mathematics
2 answers:
Masja [62]2 years ago
6 0
34+41=75m
D^2=34^2+41^2
D^2=1156+1681
D^2=2837
D=sqrt(2837)
75-(sqrt(2837)
=21.7365

liraira [26]2 years ago
5 0

To find the straight line distance from A to B, use the Pythagorean Theorem:  AC2 + CB2 = AB2   --->   412 + 342  =  ab2

--->   2837 =  AB2   --->   AB =  53.3

Walking from A to C to B =  41 + 34 = 75 meters.

Walking from A to B will save you 75 - 53.3 = 21.7 meters.

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Snezhnost [94]
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4 0
2 years ago
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Game consoles: A poll surveyed 341 video gamers, and 89 of them said that they prefer playing games on a console, rather than a
Orlov [11]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.

Of 341 surveyed players, 89 said that they prefer using a console.

The sample resulting sample proportion is p'= 89/341= 0.26

If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.

H₀: p ≥ 0.28

H₁: p < 0.28

α: 0.05

To study the population proportion you have to use the approximation of the standard normal Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }≈N(0;1)

Z_{H_0}= \frac{0.26-0.28}{\sqrt{\frac{0.28*0.72}{341} } }= -0.82

This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:

P(Z≤-0.82)= 0.206

Using the p-value approach:

If p-value ≤ α, reject the null hypothesis

If p-value > α, don't reject the null hypothesis

The decision is to not reject the null hypothesis.

Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.

I hope this helps!

4 0
3 years ago
Is -72.27 a integer yes or no
jonny [76]

Answer:  No.

Step-by-step explanation:

Integers are whole numbers. No fractions or decimals

3 0
3 years ago
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What is the greatest common factor of 5, 10, and 45?
Ivanshal [37]

Answer:

It would be 5

Step-by-step explanation:

5 equals everything that is 5 or 10

for example, 5 * 5 equals 25

Odd numbers times 5 equals a odd number with the 5 at the end

Even numbers times 5 equal an even number with a 0 at the end

I hope that helped

6 0
3 years ago
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To the nearest minute, how long will it take to mow the lawn if 3000yd^2 can be mowed per hour? show your work.
-Dominant- [34]

Answer:

In\ 1\ minute\ lawn\ can\ be\ mowed=50\ yd^2

Step-by-step explanation:

Given,\\\\In\ 1\ hour\ lawn\ can\ be\ mowed= 3000\ yd^2\\\\we\ know\ that\\\\1\ Hour=60\ minutes\\\\In\ 60\ minutes\ lawn\ can\ be\ mowed=3000\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ mowed=\frac{3000}{60}\ yd^2\\\\In\ 1\ minute\ lawn\ can\ be\ moved=50\ yd^2

4 0
3 years ago
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