The distances in miles driven by a sample of nine different cars using 13 gallons of gasoline were 174, 201, 271, 208, 196, 340, 214, 236, and 385. Find the mean and the standard deviation for the distances traveled. How many cars fall within one standard deviation of the mean?

Answers

Answer 1

When You order the numbers you get

174 196 201 208 214  236 271 340 385

To get the mean, you add up all the numbers

Sum:2225

Then you divide it by how many test subjects there are (9 cars)

2225÷9=247.222222222 Which is your mean

Q1 is between 196 and 201

Q3 is between 271 and 340

If you get the mean of both, Q1 would be 198.5 and Q3 is 305.5

The amount of cars between them is 6


Related Questions

A car travels 600 km in 6 hours. at what rate of speed is the car traveling?

Answers

Step-by-step explanation:

100Km/hours......V/T

PLease help fast I need assistance

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Answer:

x<_-3 or 2_<x<7 or A

Step-by-step explanation:

Hope it helps

Find the measure of the missing angle using the exterior angle sum theorm.

Answers

Answer:

95 degrees

Step-by-step explanation:

First find the angles within the triangle. 180 - 43 - 52 = 85, so the missing angle within the triangle is 85. The exterior angle would be supplementary to that, so 180 - 85 = 95.

Isabella runs 3 times per week. She ran for 15 minutes on Monday and 17 minutes on Wednesday. Her coach told her that she had run 80 percent of her goal that week. How many more minutes does she need to run to meet her goal for the week?

Answers

Answer

8 More minutes

Step-by-step explanation:

15+ 17 = 32

32/.8 = 40

40 - 32 = 8

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?

Answers

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]

Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]

Volume of each cubic block is

[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]

Suppose, n blocks are required to measure the volume of Prism

[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]

Thus, 6 blocks are required to measure the volume of prism.

Yes that person is correct

The measure of the angles of a triangle are 34 degrees and 45 degrees. What is the measure of the third angle

Answers

Answer:

101

Step-by-step explanation:

A triangle can have up to at least 180*

45 + 34 = 79
180 - 79 = 101

What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)

Answers

O C. (-9.-11) is THE ANSWER

Which multiplication expression can be used to check this division problem:
2/5 ÷ 4/15 = 3/2
° 2/5 × 4/15
° 3/2 × 4/15
° 3/2 × 15/4
° 5/2 × 15/4

Answers

Answer:

° 3/2 × 4/15

Step-by-step explanation:

for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.

2/5 x 4/15 = 8/75 or 0.106
3/2 x 4/15 = 2/5 or 0.4
3/2 x 15/4 = 45/8 or 5 5/8, 5.625
5/2 x 15/4 = 75/8 or 9 3/8, 9.375

The population of China is about 1.4 x 10^9 people. Julie grew up in a town that had a population of about 7,000 people. How many times greater is the population of China than Julie's hometown?


Please write your answer in standard notation

Answers

Answer:

200,000 times

Step-by-step explanation:

The population of China is about 1.4 × 10⁹ . And the hometown of Julie has a population of 7,000 people . We need to find out how many times greater is the population of China than Julie's hometown .

By Question :-

[tex]\rm\implies Population_{China}= 1.4\times 10^9 [/tex]

[tex]\rm\implies Population_{Hometown}= 7,000 [/tex]

Times by which population of China is more:-

For finding this divide the population of China by population of hometown .

[tex]\rm\implies \dfrac{ 1.4 \times 10^9 }{7000} \\\\\rm\implies \dfrac{ 14 \times 10^8}{7\times 10^3}\\\\\rm\implies 2\times 10^{8-3} \\\\\rm\implies 2\times 10^5 \\\\\rm\implies \boxed{\quad \bf 200,000 \quad }[/tex]

Therefore the population of China is greater than 200,000 times .

the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below

Answers

The image of the bar chart is missing and so i have attached it.

Answer:

Bus = 75

Cycle = 20

Walk = 45

Step-by-step explanation:

We are told that 50 students said they travel to school by car.

However, in the bar chart, we see that we have a portion for boys and girls

Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.

Thus, to find the value of a unit since number of people that took cars is 50, we have;

(6x + 4x)/2 = 50

Where x is the value of one unit. Thus;

10x/2 = 50

5x = 50

x = 50/5

x = 10

Thus, a unit is 10

Under bus;

Boys have 7 units while girls have 8 units.

Thus;

Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75

Under cycle;

Boys have 1 unit while girls have 3 units.

Thus;

Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20

Under walk;

Boys have 5 units while girls have 4 units.

Thus;

Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45

What is the range of f(x)=4^x

Answers

Answer:

B

Step-by-step explanation:

At - infinity, the function will tend to 0 and at +infinity, the function will tend to +infinity. Those are the two extremas of the function and extremas define the range. Range is all positive real number

H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.

Set A : {1, 3, 7, 12, 14, 17, 19, 20}

Answers

Answer:

A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}

A triangle has an area of 18ft squared. List all the possible positive integers that could represent its base and height. Use sentences to describe your process.

Answers

Answer:

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

If area is 18ft², then the dimensions of base x height = 18 x 2 = 36

all the possible positive integers that could represent its base and height can be determined be known by determining the factors of 36

factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36

Possible dimensions of base and heights are :

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

what is the cosine of 122.2

Answers

cosine 122.2 = -0.532876276......

Can someone help me with this math homework please!

Answers

Answer:

Second option

As the x-values go to negative infinity, the function´s values go to positive. infinity.

--------------------------

Hope it helps...

have a great day!!

Answer:

(B) As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

The x-values the answer choices are talking about are the values on the x-axis.

Looking at the graph, when the x-values go to negative infinity (meaning it keeps on going left, or negative), the function goes up, meaning the function goes to positive infinity.

When the x-values go to positive infinity (meaning it keeps on going right, or positive), the function goes up, meaning the function goes to positive infinity.

Out of all the answer choices, only B agrees with the observations written above.

Hope that helps (●'◡'●)

HELP!!!

A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.

Select each true statement based on this correlation coefficient.

A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.

Answers

The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.

What is correlation?

This refers to the relation or connection between two or more variables. In this case:

Amount of gasolineNumber of miles

What does -0.92 mean?

This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.

Learn more about gasoline in: https://brainly.com/question/12847098

#SPJ1

what is 3x10x178 I need help asap

Answers

Answer:

3x10=30   30x178=5,430

Step-by-step explanation:

QUESTION:- what is 3x10x178

ANSWER:-

[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]

Find f(-3) for f(x) = 4(2)^x
O A. -32

O B. 1/2

O C. -24

O D. 1/8

Answers

Answer:

B. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4(2)ˣ

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(-3) = 4(2)⁻³Exponents:                                                                                                        f(-3) = 4(1/8)Multiply:                                                                                                             f(-3) = 1/2

 The angle of elevation to a nearby tree from a point on the ground is measured to be 65°. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a
foot if necessary.

Answers

Answer:

197.3 feet

Step-by-step explanation:

197.295 rounded to the nearest hundredth is 197.30 or 197.3

The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.

The height of the tree if the point on the ground from the tree is 92 feet. Then we have

Let h be the height of the tree. Then we have

[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]

Then we have

[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

which of the following pairs of equations are perpendicular

Answers

Answer:

were are the pairs?

in a survey 50% like cold drinks 30% like hot drinks and 40% like juice. Likewise 20% of them like cold and hot drinks 18% like cold drinks and juice, 12% like hot drinks and juice and 5% like all three drinks. represent the above information in a venn diagram and find the percent of people who like:

i) at least one of the drinks
ii) exactly two types of drinks
iii) exactly one type of drink
iv) none of the drinks

Answers

Answer:

Step-by-step explanation:

C -> Percentage of people who take cold drinks

H -> Percentage of people who take hot drinks

J - > Percentage of people who take Juice

i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%

ii)  Exactly two types of drinks = Percentage of people who take cold  and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices

= 15 + 13 + 7

= 35%

iii) Exactly one type of drink =  Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices

= 17 + 3 + 15

= 35%

iv) None of the drinks = Total percentage - at least one of the drinks

                                    = 100 - 75

                                    = 25%

Write each power as a single power, then evaluate (9

Answers

Answer:

Step-by-step explanation:

a.  〖(9^8)〗^0 = 1

b.  〖〖[(-2)〗^4]〗^2 = 256

c.  〖–(3^2)〗^3 = -729

Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

see below

Step-by-step explanation:

f(x) = -x^2 +4

The vertex form is

y = a(x-h)^2 +k

Rewriting

f(x) = -(x-0)^2 +4

The vertex is (0,4) and a = -1

Since a is negative we know the parabola opens downward

f(x) = -(x^2 -4)

We can find the zeros

0 = -(x^2 -2^2)

This is the difference of squares

0 = -(x-2)(x+2)

Using the zero product property

x-2 =0   x+2 =0

x=2   x=-2

(2,0)  (-2,0) are the zeros of the parabola and 2 other points on the parabola

We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola

Answer:

Your vertex is (4,0)

Step-by-step explanation:

Please HELP!! Will mark brainliest!!!

Answers

Answer:

x=6

y=5

Step-by-step explanation:

15x and 90 are vertical angles and vertical angles are equal

15x = 90

Divide by 15

15x/15 = 90/15

x = 6

15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel

15x= 5x+12y

Subtract 5x

15x-5x = 5x+12y-5x

10x = 12y

10(6) = 12y

60 = 12y

Divide by 12

60/12 = 12y/12

5 = y

The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits

Answers

Answer:

she should add 2 cups of water.

Step-by-step explanation:

2 : 1 = 4 : 2

Lisa should add 2 cups of water

Can someone help me with this math homework please!

Answers

Answer:

f(n+1) = f(n) - 5

Step-by-step explanation:

Just find some relationship between 2 numbers that are next to each other.

What type of line is PQ?

A. side bisector
B. altitude
C. angle bisector
D. median

Answers

Step-by-step explanation:

C. angle bisector

hope this helps you

have a nice day:)

A line PQ is the median of triangle PRS.

What is median of a triangle?

A median of a triangle is a line segment that join a vertex to the mid-point of the side that is opposite to the vertex.

According to the given question.

We have a triangle PRS in which a line segment PQ dividing the side RS in two equal parts means point Q is acting as a mid point for RS.

Since, RS is the side which is opposite to the vertex P, and PQ is dividing RS in two equal parts therefore, PQ is the median of the triangle PRS.

Thus, option D is correct.

Find out more information about median of a triangle here:

https://brainly.com/question/2272632

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Solve the equation -9x -21= 20x -87

Answers

Answer:

66/29

Step-by-step explanation:

-9x - 21 = 20x - 87

Add 87 to both sides to cancel out the -87 on the right side:

-9x + 66 = 20x

Add 9x to both sides to cancel out the -9x on the left side:

66 = 29x

Divide both sides by 29 to isolate the variable:

66/29 or 2.275862....

Find the length of side BC give your answer to three significant figures

Answers

Answer:

19.4 cm

Step-by-step explanation:

Hi there!

This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:

[tex]cos\theta=\frac{adj}{hyp}[/tex]

Plug in the given angle and side

[tex]cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4[/tex]

Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.

I hope this helps!

Which table of values could be generated by the equation 10x+5y=15? (Will give brainlest and 21 points)

Answers

Answer:

(For the image) A

Step-by-step explanation:

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