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Lera25 [3.4K]
3 years ago
9

Martha wants to rent a car for a week and to pay no more than $130. How far can she drive if the car rental costs $94 a week plu

s $.12 a mile?
Mathematics
1 answer:
stepan [7]3 years ago
8 0
Martha can drive 300 miles.
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The following table presents the time taken to review articles that were submitted for publication to a particular journal durin
belka [17]

A) Variance = 10.24

B) Standard Deviation = 3.2

One of the measurements of dispersion is the standard deviation, which is exclusively used for quantitative data. It aids in determining if the data's mean is a suitable measurement to reflect the core value.

TIME         FREQUENCY(f)  MIDPOINT(x)    d    d²     fd              fd²

0 - 0.9         43                          0.45             -3     9     -129            387

1.0 - 1.9         17                           1.45              -2    4     -34                68

2.0 - 2.9       19                            2.45             -1     1       -19               19

3.0 - 3.9        18                            3.45             0     0       0                  0

4.0 - 4.9        14                            4.45              1      1        14               14

5.0 -5.9         16                            5.45              2     4        32             64                            

∑f = 127                                                              

∑fd = -136  

∑fd² = 552

d = \frac{x - 3.45}{1}

Standard Deviation = \sqrt \frac{fd^{2} }{N} - \sqrt \frac{(fd)^{2} }{N} * i

\sqrt \frac{552}{127} -\sqrt (\frac{-136}{127})^{2}   * 1

√4.35 - √1.15

Standard Deviation = 3.2

(SD)² = (3.2)² = 10.24

Variance = 10.24

To know more about standard deviation, refer to this link :

brainly.com/question/12402189

#SPJ1

7 0
1 year ago
A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
Use the zero product property to find the solutions to the equation x^2+x-30=12
lukranit [14]

Answer:

Due to there being no negatives in this equation, you can pretty much just eliminate the first 3 answers.


However in working out, here is what I did.

x^2 + x - 30 = 12 (+30) 

= x^2 + x = 42


Then you can conclude that the answer is D, due to 6 x 6 = 36, plus 7 equaling 42. 





8 0
3 years ago
Which property is shown by –8 • (4 + 3) = –8 • 4 + –8 • 3?
larisa86 [58]
<span> –8 • (4 + 3) = –8 • 4 + –8 • 3

answer

</span><span>• Distributive Property</span>
6 0
3 years ago
Read 2 more answers
A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha
gogolik [260]

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

8 0
2 years ago
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