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Nookie1986 [14]
3 years ago
10

A hiking trail down the side of Mt. Tom drops a vertical distance of 60 meters over a horizontal distance of 300 meters. What is

the slope of the trail? Express your answer as a reduced fraction.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

Step-by-step explanation:

Slope of the trail is expressed as;

Slope = vertical distance/horizontal distance

Given

Vertical distance = 60metres

Horizontal distance= 300metres

Substitute

Slope = 60/300

Slope = 6×10/30×10

Slope = 6/30

Slope = 6×1/6×5

Slope = 1/5

Hence the slope of the trail in reduced fraction is 1/5

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AlekseyPX

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Step-by-step explanation:

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3 years ago
You have 3/6 cup of brown sugar in your cupboard. The recipe for a dessert
Dmitry_Shevchenko [17]
Already have: 3/6 cups
need : 1/5
3/6 - 1/5=
15/30 - 6/30=
9/30=
3/10

so you wil have 3/10 of brown sugar left
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3 years ago
If f(x) is an antiderivative of g(x), and g(x) is an antiderivative of h(x), then
Goryan [66]
If f(x) is an anti-derivative of g(x), then g(x) is the derivative of f(x). Similarly, if g(x) is the anti-derivative of h(x), then h(x) must be the derivative of g(x). Therefore, h(x) must be the second derivative of f(x); this is the same as choice A. 

I hope this helps.
7 0
3 years ago
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule
Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113​.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139​.

Step-by-step explanation:

Given information:Scores of an IQ test have a​ bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between \overline{x}-\sigma and \overline{x}+\sigma.

95% data lies between \overline{x}-2\sigma and \overline{x}+2\sigma.

99.7% data lies between \overline{x}-3\sigma and \overline{x}+3\sigma.

(a)

\overline{x}-\sigma=100-13=87

\overline{x}+\sigma=100+13=113

[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113​.

(b)

\overline{x}-2\sigma=100-2(13)=74

\overline{x}+2\sigma=100+2(13)=126

[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126​.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126​.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

\overline{x}-3\sigma=100-3(13)=61

\overline{x}+3\sigma=100+3(13)=139

[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139​.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139​.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139​ is

P=\frac{1}{2}(0.3\%)=0.15\%

Therefore 0.15% of people has an IQ score greater than 139​.

5 0
3 years ago
How do you change 14/20 into a decimal
lyudmila [28]
The answer is 0.7 Have a nice day   
4 0
3 years ago
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