Suppose that mean retail price per gallon of regular grade gasoline is 3.53 with a standard deviation of and that the retail price per gallon has a bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between and per gallon (to decimal)

Answers

Answer 1

Answer:

Incomplete question, but I gave a guide to solve using the Empirical Rule.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

It is also important to note that the normal distribution is symmetric. This means of the 68% of the measures are within 1 standard deviation of the mean, for example, 68/2 = 34% are between 1 standard deviation below the mean and the mean, and 34% are between the mean and 1 standard deviation above the mean.

In this question:

You take the mean and the standard deviation. Then you take both bounds that the percentage asks, and see how many standard deviations each are from the mean, and you then use the empirical rule to solve.


Related Questions

pls help soonnnnn i need number 2

Answers

Answer:

3 3/16 lbs is the total amount the puppies weigh


An illustration of a cell interacting with its environment is provided.
Call membrane
The illustration best represents which of the following?
Water moving into a cell by the process of osmosis
2 Ο Ο Ο Ο.
Passive transport of solute into the cell by diffusion
Active transport of solute into the cell using energy
Water leaving the cell by the process of osmosis

Answers

Answer:

the 1st one

Step-by-step explanation:

thank u and have a nice day and i hope this helped

me encontré $100, luego mi papá medio $80, pero yo le di a mi mamá $70 cuánto me queda​

Answers

Answer:

te queda $110

Step-by-step explanation:

espero que te sirva

Select all the expressions that are equivalent to 4b+4+4b+2-+b

Answers

Answer: 9b+6

Step-by-step explanation:

I need help please.

Answers

Answer:

63.17

Step-by-step explanation:

add all the numbers together which gives you 379

then 379 by how many numbers there are.

there are 6 numbers so divide 379 by 6 which equals 63.16666667

and if you round to the nearest hundredth it gives you 63.17

A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses

Answers

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

help plz plz plz

Pentagon ABCDE is similar to pentagon RSTUV . The perimeter of pentagon ABCDE is 36.8 centimeters.


What is the length of ST ?

19.8 cm
18 cm
25.8 cm
15 cm

Answers

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Can someone explain this to me? Pls

Answers

Step-by-step explanation:

In Triangle (the symbolΔ)QRS,

Angle R is congruent to Angle Q,

And side QR=11

And side SQ=8

Find.The length of RS.

Enter your answer in simplest form.

4 × 3/5

Answers

Answer:

Step-by-step explanation:

Answer:

Fraction form: 12/5

Decimal form:2.4

Mixed number form:2 2/5

find the value of x. (geometry)

Answers

Answer:

18.02 units

Step-by-step explanation:

A family of 4 bought 6 bags of peanut

Answers

Answer:

24

Step-by-step explanation:

Um. I guess you just multiply 6 x 4 and you get 24

the answer for this problem is 24

Please can someone help me with this

Answers

10x + 30

10(x+3)

10 x X = 10x

10 x 3 = 30

10x + 30

In a study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC; and Lexington Park, Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. City Bridgeport,San Jose,Washington,Lexington Park, MillionaireCTCAD.C.MD Yes45333634 No455267364366 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)

Answers

Answer:

The estimate of the percentage of millionaires in each of these cities:

                          Bridgeport      San Jose    Washington    Lexington Park

                                CT                 CA               D.C.                MD

Percentage of

Millionaires             9%                 12%              9%                 8.3%

Step-by-step explanation:

Data and Calculations:                            City

                            Bridgeport,     San Jose,   Washington,   Lexington Park,

Millionaire                   CT                 CA              D.C.                 MD

Yes                             45                  36               36                    33

No                              455               264             364                 367

Sample                      500               300             400                 400

Percentage of

 Millionaires            45/500         36/300         36/400           33/400

=                               0.09               0.12             0.09            0.0825

=                                 9%                 12%              9%               8.3%

Using the percentage concept, it is found that the estimate of the percentage of millionaires in these cities is of 9.25%.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching the problem on the internet, it is found that:

A total of 45 + 34 + 37 + 32 + 455 + 266 + 363 + 368 = 1600 people were surveyed, hence b = 1600.Of those, 45 + 34 + 37 + 32 = 148 are millionaires, hence a = 148.

Then:

[tex]P = \frac{148}{1600} \times 100\% = 9.25\%[/tex]

The estimate of the percentage of millionaires in these cities is of 9.25%.

More can be learned about the percentage concept at https://brainly.com/question/10491646

Which is greater, 4/5 or 75%?*

Answers

Answer:

4/5

Step-by-step explanation:

4/5 is equal to 80%, which is more than 75%.  How you can figure this out is that you can determine 4/5 of 100, (divide 100 by 5 and pick the 4th part,) to get 80.  75% is equal to 3/4, so divide 100 by 4 and shoose the 3rd part, 75.  Therefore, 4/5 is greater than 75%.  

Hope this helps!  :)

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answers

12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

Determine whether the given procedure results in a binomial distribution. If not, state the reason why?
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
a. Not binomial: the trials are not independent.
b. Not binomial: there are more than two outcomes for each trial.
c. Procedure results in a binomial distribution.
d. Not binomial: there are too many trials.

Answers

Answer:

b. Not binomial: there are more than two outcomes for each trial.

Step-by-step explanation:

Binomial probability distribution:

We need

Fixed number of trials.

Independent trials.

Each trial can be reduced to a yes/no proposition.

Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.

There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.

When I shoot my shots I make sure they hit.

You’d be lying if you said they don’t no

But when the pandemic began, I stooped so low to post my boring life on brainly

Answers

Honestly felt although I post my life on imvu and stuff like that

There are two mystery numbers. The sum of 7 times the first number and 5 times the second number is -11. The sum of 10 times the first number and 8 times the second number is -20. What are the two numbers?

Answers

first is 2, second is -5

What is the purpose of the air in air hockey?

Answers

Answer:

A fan within the center of the table blows air through these holes in order to allow the puck to quickly glide across the table surface. This movement of air is the reason why we call the sport "air" hockey vs. just table hockey. There are two holes at opposite ends of the table that make up a goal.

Step-by-step explanation:

Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

b

For x = 53 and s = 4.6

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

Which transformation shows a translation of 3 units to the right?
A)A
B)С
C)B
D)D

Answers

Answer:

Step-by-step explanation: It`s option  C

.Which point is located at (4, –2)?

On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to the right and 2 units down. Point C is 4 units to the left and 2 units up. Point D is 2 units to the right and 4 units down.
A
B
C
D

Answers

the answer is B; the first unit is a position 4 on the x axis, so it goes to the right by 4. -2, in the y axis, would go down. hope this helps!

Point B is 4 units to the right and 2 units down from the origin points.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, point is located at (4, –2)

Since on the option distance given is from Origin points,

Since we know in coordinates Plane.

X = 4 would be at 4 units right of the origin

y = -2 would be at 2 units down of the origin.

Thus point (4, -2) will be 4 units right and 2 units down from the origin.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ6

I need both answers ​

Answers

Answer:

10mn -35m

8rs-2r^2+16r

they are in order.

Answer:

1, 10mn - 35m

2, 8rs - 2r^2 + 16r

Step-by-step explanation:

Pls help I really need help pls

Answers

Answer:

h=-18

Step-by-step explanation:

h+9=-9

h= --9-9

h=-18

Answer:

H = -18

Step-by-step explanation:

h+9 = -9

-9 = -9

cancels

h = -9 -9

h = - 18

The sum of eight and twice a number is 42

Answers

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

Pls help meeeeeeeeeeeee

Answers

Answer:

4 Hours and 25 Minutes to Seconds is - 15900

Step-by-step explanation:

What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?

The answer is 300N

Answers

So what am I supposed to do with this?. Answer’s already given

Please help me for brainliest.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Let's look at the statement.

7y = 14x  and  y = 2x does have infinitely many solutions. Why? Because the first equation can be rearranged to look like the second one. If you divide 7y and 14x by 7, you end up with y = 2x. Look familiar? This means the set of equations has infinitely many solutions.

Which is a true statement about the transformation shown?

Answers

Answer:

B is the answer

Step-by-step explanation:

The transformation is a reflection across the y axis and you can see that they are congruent because the points are exact mirrored images.

The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearestytenth.

Answers

Answer:

14.5 cm

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

c = hypotenuse (15)

to solve for b (other leg), the equation is  b^2 = c^2-a^2

15^2 - 4^2 = 209

[tex]\sqrt{209}[/tex] = approx. 14.5

the other leg is (rounded to the nearest 10th) 14.5 cm

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