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Olegator [25]
3 years ago
13

To bike rental companies have different pricing systems company a charges a flat fee of four dollars +2 dollars per mile Company

B does not charge a flat fee but charges $2.80 per mile driven at what distance do both companies charge the same amount
Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer: the charge would be the same after 5 miles

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be

4 + 2x

Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.

For the charge to be the same, the number of miles would be

2.8x = 4 + 2x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8

x = 5

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Simplify -6.8+ (-2.71)
vova2212 [387]

Answer:

4.09

Step-by-step explanation

since negatives over power positive numbers

-6.8+(-2.71) - will simplify plus into minus

-6.8 - 2.71 - now just subtract

6.8-2.71=4.09

5 0
2 years ago
One of the authors came across an article (USA Today, 2008) that said that on average Americans have visited 16 states in the Un
Daniel [21]

Answer:

1. a. Students

2. d. number of U.S. states visited, quantitative

3. a. H o: mu = 16, Ha: mu ≠ 16

4. (7.46,11.50)

Step-by-step explanation:

1. The researcher is interested in finding out the average number of states in US that the students have visited.

The unit that is being observed to arrive at that conclusion is the Students. The observational unit for this study is  a. Students.

2. The variable of interest from the information above is the number of U.S. states visited. The observations recorded for this variable are in numbers which are numeric in nature. This implies that the variable is quantitative in nature.

Therefore, the answe  is d. number of U.S. states visited, quantitative

3. To test whether the average number of states all students at the author’s school have visited,

The null hypothesis (H o) is always given as the negation statement/null of what we wish to test.

So, we wish to test that the average is different from 16. Therefore, the null would be that the average is 16.

Answer  is a. H o: mu = 16, Ha: mu ≠ 16

4. A  95% confidence interval for the average number of states all students at the author’s school have visited can be calculated using the formula:

x  bar + or - 2 √s/n

=9.48 + or - 2 × 7.13/ √50

= (7.46,11.50)

The 95% confidence interval for the average number of states all students at the author’s school have visited is (7.46,11.50). The average falls betw 7.64 and 11.50.

7 0
3 years ago
And the
matrenka [14]

Answer:

A) The legs are 9 & 12 inches.

B) The hypotenuse is 15 inches.

<em>Hope that helps! :) <3</em>

Step-by-step explanation:

8 0
3 years ago
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
2 years ago
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would
kakasveta [241]

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

<h3>How to determine the number of cartons</h3>

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

Read more about expected values at:

brainly.com/question/15858152

4 0
2 years ago
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