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2 years ago

Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?

Mathematics

1 answer:

Inessa [10]2 years ago

6 0

Going 315 km uses up 35 liters of gasoline

On average, 1 liter of gasoline can travel the number of kilometers:

315 : 35 = 9 liters of gasoline

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According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qu

const2013 [10]

Answer:

$\bar x = 82$

$\sigma = 9.64$

Step-by-step explanation:

Given

$n = 12$

$87\ 91\ 86\ 82\ 72\ 91\ 60\ 77\ 80\ 79\ 83\ 96$

Solving (a); Point estimate of mean

To do this, we simply calculate the sample mean

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}$

$\bar x = \frac{984}{12}$

$\bar x = 82$

Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

$\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}$

$\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}$

$\sigma = \sqrt\frac{1022}{11}$

$\sigma = \sqrt{92.91}$

$\sigma = 9.64$

Note that: The sample mean and the sample standard deviation are the best point estimators for the mean and the standard deviation, respectively.

Hence, the need to solve for sample mean and sample standard deviation

3 0

2 years ago

Please answer this correctly

musickatia [10]

There are 4 quarts in 1 gallon.

3 x 4 = 12

12 + 2 = 14 quarts

Hope this helps!! :)

6 0

2 years ago

kathy recorded the following measurement of length: 2.5 cm, 2.9 cm, and 3.1 cm. what is the mean for this set of values, in cm?

jeka94

2.5cm=25 mm
2.9cm=29 mm
3.1cm=31 mm
They give it in cm because it’s easier to guess how long it will be in real life

8 0

3 years ago

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12

solong [7]

99 km ... 9 liters
x km ... 12 liters

If the relationship is proportional, we have

$\frac{99}{x} = \frac{9}{12}$

from where

$x = \frac{99*12}{9}= \frac{1188}{9}=\bold{132}$

The answer is 132 kilometers.

5 0

2 years ago

Simplify: -10 - 90x + 6x - 60

antoniya [11.8K]

Answer:

- 84x - 70

Step-by-step explanation:

We want to combine like terms:

-10 - 90x + 6x - 60

We can see (-10) and (-60) are both regular constants so:

- 10 - 60 = - 70

Then (-90x) and (+ 6x):

6x - 90x = - 84x

- 84x - 70

4 0

2 years ago

Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?​

Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?