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pashok25 [27]
2 years ago
15

Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Usi

ng this result, how many miles can Sara drive on 12.5 gallons of gas?
Mathematics
2 answers:
vfiekz [6]2 years ago
7 0

171 / 7.6 = 22.5 miles per gallon

22.5 x 12.5 = 281.25 miles she can drive

IrinaK [193]2 years ago
5 0

Answer:

She can drive 281.25 miles in 12.5 gallons.

Step-by-step explanation:

Consider the provided information.

Sara drives 171 miles on 7.6 gallons of gas.

Thus in 1 gallons of gas she can drives:

171\ miles = 7.6\ gallons

\frac{171}{7.6}\ miles =1\ gallon

22.5\ miles =1\ gallon

She can travel 22.5 miles in one gallon or she can drive 22.5 miles per gallon.

To find how many miles she can drive on 12.5 gallons of gas, simply multiply the number 22.5 with 12.5.

22.5×12.5=281.25

Hence, she can drive 281.25 miles in 12.5 gallons.

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Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
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Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
Sociologists studying the behavior of high school freshmen in a certain state collected data from a random sample of freshmen in
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5 0
2 years ago
Read 2 more answers
Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups—those with Ty
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Answer:

The correct option is A) Nominal.

Step-by-step explanation:

Consider the provided information.

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups those with Type A personalities and those with Type B personalities.

Type of measurement scales:

Ratio: We can compare quantity as a multiple of one another.

For example: A father's weight is twice to his son.

Interval: Interval is the measurement scale in which each of the position is equidistant from another.

Level of excitement, rated from 1 to 5.

Ordinal: Ordinal measurement scale in which sets are in order by their position.

For example: First, second, third in a competition.

Nominal: Nominal data are objects distinguished by a straightforward scheme of naming.

For example: The employees in a office can be male or female.

Now, from the above definition it is clear that the type of measurement scale which can depict the scenario is Nominal.

Hence, the correct option is A) Nominal.

3 0
2 years ago
THIS IS URGENT I NEED THIS AS SOON AS POSSIBLE! YOUR HELP WOULD BE GREATLY APPRECIATED!
serious [3.7K]

Answer:

Strawberries sold 44 baskets

Raspberries sold 52 baskets

Step-by-step explanation:

4x + 9y = 644 \\ x + y = 96 \\ 4x + 4y = 384  \\ 5y = 260 \\ y = 52 \\ x = 44

7 0
2 years ago
Read 2 more answers
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?
tatuchka [14]
<span>So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> <u>73</u> - <u>17  </u> = <u>73 x 6 </u> - <u>17 x 8 </u> <u>
</u>       8      6        8 x 6       6 x 8</span><span>
=> <u>438</u> – <u>136 </u> Now, we have the same denominator, subtract</span><span>
      48       48
=> <u>302 </u> or  <u>151</u>
       48          24
=> 6 <u>7</u>
       24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.</span>



4 0
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