The average fuel efficiency of a new car model is 30 mpg with a standard
deviation of 4 mpg. A simple random sample of 100 cars of this new car model is
to be selected and the sample mean fuel efficiency is to be computed. Explain
why the sampling distribution of the mean has approximately a normal
distribution.

The graph of the arithmetic sequence is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

Answer: B: 3.77 L.

Step-by-step explanation:

To solve this problem, you need to know that 1 quart is equal to approximately 0.94 liters. This means that 4 quarts is equal to approximately 3.76 liters. Rounding this number to the nearest hundredth of a liter gives you an answer of approximately 3.76 liters, or 3.76 L. Therefore, the correct answer is choice B: 3.77 L.

Answer: 1/3 ± √29/3i

Step-by-step explanation:

To solve these equations, move everything to one side:

3x^2-2x+10 = 0

This cannot be factored, so use the quadratic formula:

x = -(-2) ± √( (-2)^2 - 4(3)(10)) / 2

x = (2 ± √4 - 120) / 6

x = 2 ± (√116 • i) / 6

x = 2 ± (2√29•i) / 6

x = 1/3 ± (√29/3)i

If the area of the rectangular city park is 25/54 square miles and the length is 5/9 miles, the width of the park, in miles, is 5/6 miles.

The area is the product of the length and width of a rectangle.

To determine one side given the area and another side, we divide the area by the given side's length.

Area = 25/54 square miles

Length = 5/9 miles

Area = Length x Width

Width = 25/54 ÷ 5/9

= 25/54 x 9/5

= 5/6

Thus, the width is 5/6 miles.

Learn more about the area, length, and width at https://brainly.com/question/25292087

#SPJ1

Answer: 7.19, 7.5, 7.541, 7.9, 8.401

Step-by-step explanation: I would recommend creating a number line and plotting to points, this may help you visual it from least-> great :)

Triangles ΔICR and ΔISU are congruent by SAS rule of congruency, therefore; ∠CIR ≅ ∠SIU by CPCTC

Two triangles, ΔABC and ΔXYZ are said to be congruent by the Side-Angle-Side, SAS congruency rule, if the two sides and an included angle of triangle ΔABC, are congruent to two sides and an included angle of triangle ΔXYZ.

The specified measurements are;

∠1 ≅ ∠4

CU = RS

IC = IS

IC ≅ IS (Definition of congruency)

The congruency of the sides IC and IS indicates that the triangle ΔICS is an isosceles triangle

Therefore, ∠2 ≅ ∠3 by the properties of the base angles of an isosceles triangle

CU - RU = RS - RU (subtraction property)

RU ≅ RU, (reflexive property of congruency)

CU - RU = CR

RS - RU = SU

CR = SU (Substitution property)

CR ≅ SU (Definition of congruency)

ΔICR is congruent to ΔISU by Side-Angle-Side, SAS, rule of congruency.

∠CIR ≅ ∠SIU by Corresponding Parts of Congruent Triangles are Congruent, CPCTC

Learn more about the triangle congruency rules here:

https://brainly.com/question/2292380

#SPJ1

Answer:

0.071 is your answer.

Step-by-step explanation:

Or you can write 11/1540. First divide 11/44 and divide 35 by your answer. You will get your answer 0.071 and if you want to have this answer in divide form than your answer is 11/1540.

Answer:

√ − 6 /√ − 6 √ − 7 = -1 + 0i

Step-by-step explanation:

Answer:

You need to find a pattern in order to solve (check explanation)

Step-by-step explanation:

The easiest way to find a pattern is by knowing the difference between two numbers; in this case, it's 3 and 6 (a-numerators), 3 - 6 = 3 we know you could get this by multiplying 3 x 2

Now that you know this-- the other a-numerators are products of 3

A)  3, 6 , 9 , 12 , 15, 18

                          20

____

I'm not so sure as for the b problem, I genuinely don't want to give a bad answer, but possibly using the same tactic could work, it does seem like the denominator is more important for b.

Answer:

5/2 liters, which is equal to 2 1/2 liters per 1 bottle

Step-by-step explanation:

I see that this problem works with fractions, so I will assume that the final answer must be as such.

1 1/5 is the same as saying 6/5, so how many bottles would 1 liter fill?

(6/5 bottles)/(3 liters) = 2/5 bottles per liter

So two liters would fill a single bottle only 4/5 of the way. What about the last 1/5?

Keep in mind that 1/5 is half of 2/5, so (1 liter)/2 = 1/2 liter

So therefore, you can either add 1/2 a liter to 2 liters, or subtract a liter from 3 liters to get 2 1/2 liters per bottle.

Another way to do this problem is as follows:

The ratio we’re looking at is 3 liters for every 6/5 of a bottle

(3 liters) / (6/5 bottles)

We can invert 6/5 before multiplying out the fraction making this process easier

3 * 5/6 = (3*5)/6

Remember that 6/3=2

So we get 5/2 liters, which is equal to 2 1/2 liters per 1 bottle

Answer:

February 15, 2018

Step-by-step explanation:

Not sure but I think

Answer:

$10.93

Step-by-step explanation:

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

To learn more about Functions refer to :

https://brainly.com/question/30169765

#SPJ1

The length in feet of the longest part of the garden would be = 6ft

A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.

The area of the given triangle = 54in²

The perimeter of the given triangle = 36 in.

Using the formula for area of a triangle ;

Area = ½ base(b) ×height(h)

where base = 9 in

54 = 1/2 × 9 × h

Make h the subject of formula;

h = 54×2/9

h = 108/9

h = 12

But the perimeter = sum of the whole sides of the triangle

perimeter = 36

side a = 9

side b = 12

side c = X

that is , 36 = 9+12+X

make X the subject of formula;

X = 36-21

X = 15in

Therefore, 15 in when converted to feet;

2 ft = 5 in

X ft = 15 in

xft = 2 × 15/5

X ft = 30/5

X ft = 6ft

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

The solution is Option A.

The slope of the equation is given by Slope m = -1/12

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the first point be P = P ( -2 , -7/2 )

Let the second point be Q = Q ( 4 , -4 )

The slope of the line between the points is given by the equation ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -4 - ( -7/2 ) ) / 4 - ( -2 )

On simplifying the equation , we get

Slope m = ( -4 + 7/2 ) / 6

Slope m = ( -8 + 7 ) / ( 2 x 6 )

Slope m = -1/12

Therefore , the value of m is -1/12

Hence , the slope of the line is m = -1/12

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

The property shown is an example of commutative property of addition.

A binary operation is commutative if changing the order of the operands does not change the result.

Given that, what property is (6+5)+3=3+(6+5)

The given example is of commutative property,

a+b = b+a, here a = (6+5) and b = 3

In commutative property, the commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4.

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum.

Hence, the property shown is an example of commutative property of addition.

For more references on commutative property, click;

https://brainly.com/question/778086

#SPJ1

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

Right angles are created when two straight lines cross at a 90° angle or are perpendicular to one another at the intersection. The sign stands for a right angle. Different right angle formations can be seen in the above image. The proper angles can be found in shapes. Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees.

given

x / sin 65° = 10 / sin 25°

x = 10 sin 65°/ sin 25°

x = 21 .45 meters

as law of sine

a / sinA = b / sinB = c / sinC

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

To know more about right angle visit :-

https://brainly.com/question/7116550

#SPJ1

The next three numbers of sequence is,

⇒ 2.8, 8.4, 8.2

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Now,

Since, The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Clearly, The pattern of the sequence is,

⇒ 0.4 - 0.2 = 0.2

⇒ 0.2 × 3 = 0.6

⇒ 0.6 - 0.2 - 0.4

⇒ 0.4 × 3 = 1.2

⇒ 1.2 - 0.2 = 1.0

⇒ 1.0 × 3 = 3.0

⇒ 3.0 - 0.2 = 2.8

⇒ 2.8 × 3 = 8.4

⇒ 8.4 - 0.2 = 8.2

Thus, Next three terms of the sequence is,

⇒ 2.8, 8.4, 8.2

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Length of NO = 4 unit.

Length is the distance of any object or any figure form one end to another end. In the above question, length of different part of a same straight line is measured one by one.

What is the length of NO given in question?

MP is a straight line. N, M, O, P are all lying on this line. N is between M and O and O is between N and P.

length of MP = 9 unit

length of MO = 6 unit

length of NP = 7 unit

As per the statement, MP - NP = MN

                              MN = 9 - 7

      length of MN = 2 unit

as N is between M and O

so, NO = MO - MN

   NO = 6 - 2

length of NO = 4 unit

To know more about length visit:

https://brainly.com/question/30100801

#SPJ1

The new price of product can be estimated as $34.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The original price is given as $19.99.

And, the expression for new price is  t + 0.07t.

Where t is the original price.

Plug t = 19.99 to obtain,

⇒ 19.99 + 0.7 × 19.99 = 33.983

Which is approximately $34.

Hence, the new price is obtained as $34.

To know more about algebraic expression click on,

brainly.com/question/953809

#SPJ2

Answer:

consistent

Step-by-step explanation:

the other ones are spelled wrong also dependent

The sum of all nine integers in the subtraction square is equal to 9 times the number in the top left unit square, which is k.

1.  Fill in the subtraction square with three rows and three columns.

2.  In each row from left to right, and in each column from top to bottom, the first integer minus the second integer equals the third integer.

3.  The sum of all nine integers is equal to the sum of the numbers in each row plus the sum of the numbers in each column.

4.  The sum of the numbers in each row is equal to k + (k - k) + (k - (k - k)) = 3k

5.  The sum of the numbers in each column is equal to k + (k - (k - k)) + (k - (k - (k - k))) = 3k

6.  So the sum of all nine integers is 9k.

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

Just plug in numbers.

This grid works

k k 0k k 00 0 0

so the answer is 4k.

Answer:

2:25 am is the right answer.

Answer:

02:25     or     2:25 AM

Step-by-step explanation:

Add 2 hours yo 1148 to get 0148   now add 37 more minutes to get 02:25

Answer:

Step-by-step explanation:

105 divided by 7 =15 so if 15 times 7=105 then 15 times 5 is 75. so susan has 75 stamps. please mark me brainliest.

The required solution of the differential equation is given as; y = x⁴/4 + c₁x²/2 + c₁².

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

We are Given the differential equation,

y' = 2 √y . x

y' = dy/dx so,

Therefore, we have

dy/dx = 2√y.x

dy/√y = 2x dx

y = [1/2(x² + c₁)]²

y = x⁴/4 + c₁x²/2 + c₁²  

Thus, the solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .

Learn more about differentiation;

brainly.com/question/11887805

#SPJ1

The x-intercept of the function is where y=0 and x = -1 or x=5

You should be aware that the x-coordinate of a point where a line, curve, or surface intersects the x-axis. Also, The x-intercept for any curve is the value of x coordinate of the point where the graph cuts x-axis

Considering the table

i                P(i)

-1                0

2               -9

5                0

6                7

7                16

The factored form would be

P(i) = (i+1)(i-5)

The standard form would also be

P(i) = i²-5i+i-5

= i²-7i-5

Therefore the factored and standard forms are  (i+1)(i-5) and  i²-7i-5 respectively

Learn more about x-intercept on https://brainly.com/question/14180189

#SPJ1

Answer:

c = 6p

Step-by-step explanation:

6 times the number of pounds that she buys will be the total cost.