During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:

a. probably equal.
b. probably unequal.
c. incomparable.

Answers

Answer 1

Answer:

Probably unequal  ( B )

Step-by-step explanation:

experimental group = 10

using 85% ethanol gasoline

mean = 240 pounds per 100 miles

standard deviation = 20 pounds

control group = 14 vehicles

using regular gasoline

mean = 252 pounds per 100 miles

standard deviation = 15 pounds

comparing  the sample variance of each group shows that they are probably unequal using the equation below

Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1

where n = number of events

X = mean value

x = value of events


Related Questions

1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?​

Answers

Answer:

10/100 = x/125

1250 = 100x

1250/100 = 100x/100

12.5 = x

125 - 12.5 = 112.5

the sale price is $112.5

Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27

Answers

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

Graph x+y=3 , ILL MARK BRAINLIST

Answers

The answer is d when you graph

Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

When 2 dice are rolled, the sum of both faces is calculated. Determine the
probability of the event: Rolling a sum of 10. Justify your answer.

Answers

Answer:

3/36 or 1/12

Step-by-step explanation:

there are a possible 36 outcomes

probability of rolling a ten has 3 chances of happening:

5, 5

4, 6

6, 4

I have to turn this in at 5:00

Answers

Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4

Answers

Answer:

A, x=5

Step-by-step explanation:

By simplifying the inequality we get:

The only answer that is greater than 4 is A.

Answer:

yes

Step-by-step explanation:

Jace invested $67,000 in an account paying an interest rate of 5 5/8% compounded monthly. Joseph invested $67,000 in an account paying an interest rate of 6 1/4% compounded continuously. After 18 years, how much more money would Joseph have in his account than Jace, to the nearest dollar?

Answers

Answer:

$22395

Step-by-step explanation:

1) In statistics, the average is also
known as
O a) Mean
b) Median
c) Tally Marks
O d) Mode​

Answers

Answer:

In statistics the average is also known as mean.

Ans: mean

The average is also known as mean.

Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?

Can anyone help me thank you

Answers

Riley planted 4,820 pumpkins

Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?

Answers

x + 8x = 9x

(like 1 + 8 but with x's)

I WILL GIVE BRAINLIEST!!!! ~PLEASE HELP (all the answers for all the questions please for the second and first picture)

Answers

Answer:

Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.

Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. [tex]\frac{1}{2}[/tex] (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].

Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.

Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.

a hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom. there are 575 stalks of flowers in the ballroom altogether. how many tulips are there​

Answers

Answer:

200 tulips

Step-by-step explanation:

The computation of the number of tulips are shown below:

Given that

Ratio of number of tulips to number of ratios is 2:3 we can write 8:12

And, the peonies to roses are 1:4 we can write as 3:12

So,

Tulips : Roses : Peonies

8:12:3

Now

Total units of flowers + 8 + 12 + 3

= 23

For tulips it would be

= 575 × 8 ÷ 23 units  

= 200 tulips

15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?​

Answers

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Point M is located at (7,1).

What is located 5 units from point M?

Choose 1 answer:

(Choice A)

Point A

(Choice B)

Point B

(Choice C)

Point C

(Choice D)

Origin

Answers

I think it is possibly point b

consider the two functions. which statement is true?

Answers

we need to see the first function

Answer:

The right answer is D

Step-by-step explanation:

The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].

i) Coordinates of point P

a) (1,1) b) (1,2) c) (2,1) d) (1,0)

ii) Coordinates of point Q

a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)

iii) Coordinates of point T

a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)

iv) (Ordinate of T) – (Abscissa of R)

a) -4 b) 4 c) 0 d) -2

v) (Abscissa of Q) – (Ordinate of S)

a) -4 b) 4 c) 2 d) -2

Answers

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?

Answers

your answer is at least 135
135 because you do 15*9 witch equals 135

What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches

Answers

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

The coordinates of the vertices of triangles OPQ are O(0,0) P(4,0) and Q(2,-4). Triangles OPQ is dilated with center O and scale factor 3/2. Sketch the dilation. What quadrants contain the image of triangle OPQ? PLEASE HELP ME

Answers

Answer:

you have to do the directions they gave you, draw the coordinates

Step-by-step explanation:

A recent study revealed that the average weight of babies born in the US is normally distributed with a mean of 7.5 pounds. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. The researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds. Which of the following statements is relevant to the assumption of Appropriate Measurement of the Variables?

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale

Answers

Answer:

c. Weights of babies are normally distributed

Step-by-step explanation:

The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

1. Which quadrilaterals always have opposite
angles that are congruent?
Parallelograms
Rectangles
Rhombi
Squares

Answers

Answer:

The quadrilaterals which have opposite angles congruent are parallelograms.

Hope it will help :)

The quadrilaterals always have opposite angles that are congruent should be parallelograms.

What are quadrilaterals?

In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.

So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.

Learn more about quadrilaterals here: https://brainly.com/question/18057835

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

28ft

Step-by-step explanation:

Find the GCE.
10rs, 35rst

Answers

The GCE of 10 and 35 is 5

PLEASE HELP (25 point!!)

On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.

(graph shown below)

A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.

B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.

C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations

Answers

Answer :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

can I get some help finding the area of these 2 shapes plz!

Answers

Answer: Triangle is 28 and the  Parallelogram is 50

Step-by-step explanation:

For the triangle 8×7=56 and then we divide it by 2 so,

56÷2=28

And, for the parallelogram it would be  50 because 5×10 is 50.

Solve for r 5r^2+5=130

Answers

Answer:

Simplifying

5r2 + 5 = 130

Reorder the terms:

5 + 5r2 = 130

Solving

5 + 5r2 = 130

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 5r2 = 130 + -5

Combine like terms: 5 + -5 = 0

0 + 5r2 = 130 + -5

5r2 = 130 + -5

Combine like terms: 130 + -5 = 125

5r2 = 125

Divide each side by '5'.

r2 = 25

Simplifying

r2 = 25

Take the square root of each side:

r = {-5, 5

which of the following is not a composite number a6 b7 c8 d9​

Answers

Answer:

7 isn't a composite number

Step-by-step explanation:

Answer:

7, it's a prime number

Step-by-step explanation:

There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form

Answers

Step-by-step explanation:

substitute the given value in the standard form equation. it will give you the slope intercept form

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