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goldenfox [79]
3 years ago
11

Wesley sailed his boat north for 18 miles then due east for another 18 miles approximately how far is Wesley from where he began

Mathematics
2 answers:
True [87]3 years ago
5 0
18 miles north
+18 miles east
=36 miles northeast
Dennis_Churaev [7]3 years ago
4 0

Answer:

Wesley is approximately 25.46 miles far from where he began

Step-by-step explanation:

Distance by which the boat is sailed in North = 18 miles

Distance by which the boat is sailed east = 18 miles.

So, The distance traveled by him is in the form of right angled and to find the distance between  finial and initial position, we need to calculate the hypotenuse side.

⇒ Hypotenuse² = 18² + 18²

                           = 324 + 324 = 25.46 miles.

Hence, Wesley is approximately 25.46 miles far from where he began

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40 hours is what part of 120 hours
Yanka [14]

Answer:

1/3 part of 120 hours....

8 0
2 years ago
You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
otez555 [7]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of men and women who own cats.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men

n1 = 80

p1 = 55/100 = 0.55

x1 = p1n1 = 0.55 × 80 = 44

For women,

n2 = 100

p2 = 30/100 = 0.3

x2 = p2n2 = 0.3 × 100 = 30

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (44 + 30)/(80 + 100) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39

Test statistic = 3.39

5 0
4 years ago
Viola drives 2 kilometers up a hill that makes an angle of 3 degrees with the horizontal. To the nearest tenth of a kilometer, w
Brrunno [24]
The answer is D 2km it's trying to trick you but no matter what angle the land is at the distance is still the same
8 0
3 years ago
Write a decimal between 0.5 and 0.75
BabaBlast [244]
Hello!  

Any decimal would be 0.51 all the way to 0.74.

Have a wonderful day!  :)

-L
4 0
3 years ago
2x+5y=12
anastassius [24]
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation

2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13

so the solution is (-17/13, 38/13)

8 0
3 years ago
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