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Setler [38]
3 years ago
11

A woman drives an SUV that gets 11 ​mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every​ week, they travel the sam

e number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The correct solution is "(45.5>39) \ mpg". A further explanation is provided below.

Step-by-step explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 ​(mpg)

For hybrid ghost,

= 65 mpg

Now,

<u>Option 1</u>:

After tuning, the mileage of SUV will be:

= 11+2

= 13 \ mpg

Average mileage will be:

= \frac{13+65}{2}

= \frac{78}{2}

= 39 \ mpg

<u>Option 2</u>:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

= \frac{11+80}{2}

= \frac{91}{2}

= 45.5 \ mpg

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒  (45.5>39) \ mpg

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Vesna [10]

Answer:

-6x + 15 = - 69 which x = 14

Step-by-step explanation:

You cannot solve this equation. There is no equal sign anywhere. Either you mean

-6x = 15 in which case the answer is

-6x/-6 = 15/-6

x = - 2 1/2 or x= - 2.5

or you mean that you use the distributive property

- 3(2x + 5)

You may have left something out of this.

-6x + 15 = -  69

You can do it now that you have the complete equation. But you need the entire equation before you can answer the question.

Subtract - 15 from both sides.

-6x + 15 - 15 = -69 - 15

-6x = - 84

Divide by - 6

-6x/-6 = - 84/-6

x = 14

But what you want is

-6x + 15

-6*14 + 15

-84 + 15

-69

-6x + 15 = - 69

when x = 14 which is usually what you are asked.

5 0
3 years ago
PLEASE HELP SOLVE FOR ‘X’!!!
antoniya [11.8K]

Answer:

x= 10

Step-by-step explanation:

1/5 x -2/3 = 4/3

Add 2/3 to each side

1/5x -2/3 +2/3 = 4/3 +2/3

1/5x = 6/3

1/5x = 2

Multiply each side by 5

1/5x * 5 = 2*5

x = 10

3 0
3 years ago
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

3 0
3 years ago
The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect t
Usimov [2.4K]
\frac{20}{100} = \frac{x}{50}
Let's solve for x:
100x=1000
Divide by 100
x=10
You should expect to win 10 times.
3 0
3 years ago
Read 2 more answers
Hurry please
Monica [59]
The answer to this question is b
7 0
3 years ago
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