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lilavasa [31]
3 years ago
12

A certain westbound U.S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means

. A 9% downhill grade for a segment of road means that the decrease in elevation of the road over the segment is 9% of the change in horizontal distance over the same segment. In other words, for every
Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

Step-by-step explanation:

A Certain westbound U.S highway truck route near a river has a downhill grade of 9%

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

In other to make things clear, lets assume

for X = 1 , y = 9% = 0.09

for y =  9 , x = 9 / 0.09 = 100

slope = y/x = 0.09 / 1 = 0.09

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the
Rama09 [41]

Answer:

P(x \le 3) = 0.2352

Step-by-step explanation:

Given

p = 0.35 --- male committing a crime in an episode

n = 5 -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

P(x) = ^nC_x * p^x * (1 - p)^{n-x

So, the required probability is represented as:

P(x \ge 3)

And will be calculated using:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2

P(x = 3) = 10 * (0.35)^3 * (0.65)^2

P(x = 3) = 0.1811

P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}

P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1

P(x = 4) = 5 * (0.35)^4 * (0.65)

P(x = 4) = 0.0488

P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}

P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0

P(x = 5) = 1 * (0.35)^5 * (0.65)^0

P(x = 5) = 1 * (0.35)^5 * 1

P(x = 5) = 0.0053

So:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x \le 3) = 0.1811 + 0.0488 + 0.0053

P(x \le 3) = 0.2352

4 0
2 years ago
There are 188 people on the trip and their total cost for the bike tour was $5040. There were twelve more adults than seniors on
zavuch27 [327]

Answer:

The answer to your question is there were 88 children

Step-by-step explanation:

Data

Total number of people = 188

total cost = $5040

12 more adults than seniors

number of children = ?

adults = a

children = c

Process

1.- Write equations that help to solve this problem

             a + c = 188              Equation l

             a = c + 12                 Equation ll

2.- Solve by substitution. Substitute equation equation ll in equation l

           (c + 12) + c = 188

-Solve for c

            c + 12 + c = 188

            2c + 12 = 188

            2c = 188 - 12

            2c = 176

              c = 176 / 2

              c = 88

3.- Conclusion

There were 88 children

       

5 0
3 years ago
)Tessa had $35. She bought a book for $7 and a magazine for $5. Which expression correctly shows the total money Tessa has left?
Sergeu [11.5K]
Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)


ANSWER: (C) $35 + (-$7) + (-$5)

Hope this helps! :)
4 0
3 years ago
Mya wants to buy a sweater from a store. The original price of the sweater is $40. The sweater is on sale for 10% off the origin
Nimfa-mama [501]
$36
10% of $40 = $4
$40-$4=$36
3 0
2 years ago
A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea leve
Mama L [17]
The answer is b ok bro it is 7x plus 8
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