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malfutka [58]
3 years ago
6

Before setting out on a bike ride, each rider was given 5/8 gallons of water to carry with them on the trip. If there are 28 peo

ple on the bike ride, how much water was dispensed?
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

17.5 gallons of water was dispensed

Step-by-step explanation:

Total amount of water dispersed= (Amount of water dispersed to each rider×Number of Riders) where;

Amount of water dispersed to each rider=5/8 gallons

Number of Riders=28

Substituting;

(5/8)×(28)=17.5 gallons

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Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation
Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

                           A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx
3 0
3 years ago
Write 0.2 as a percentage.
nlexa [21]
To turn a decimal to a percent.....there r 2 ways.

(1) multiply  the number by 100 : 0.2 x 100 = 20%
(2) take ur decimal and move it 2 spaces to the right : 0.2 = 20%


3 0
3 years ago
Read 2 more answers
Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

7 0
3 years ago
A game system allows players to design a personal picture. Each picture is designed by choosing from male or female, 8 face shap
astra-53 [7]

Answer:

The number of possible pictures:

N = 2 x 8 x 48 x 12 x 24 x 82 = 18137088

Hope this helps!

:)

6 0
3 years ago
What is the formula to find the area of a triangle
lorasvet [3.4K]

Answer:

A= 1/2bh

Step-by-step explanation:

(how its supposed to be said: Area= one half base times height)

:)

3 0
2 years ago
Read 2 more answers
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