The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.

Answers

Answer 1

Answer:

The answer is "(27.030,29.770)"

Step-by-step explanation:

[tex](\bar{x}) = 28.4[/tex]

[tex](n)= 49[/tex]

[tex](\sigma) = 6[/tex]

[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]

[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]

[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]


Related Questions

The teacher and her students are playing a game. The students take turn to say from 1 to 100 (1 student says 1 number in each turn). However, in the turn that students need to say the number which has the digit 7, they need to say "Buzz" instead. For example, if Hoa has number 17 in her turn, Hoa will say "Buzz" instead of "seventeen". How many times will the students say "Buzz" in total?

Answers

Answer:

19

Step-by-step explanation:

If the number has atleast 1 digit that is 7, they say "Buzz."

7

17

27

37

47

57

67

70

71

72

73

74

75

76

77

78

79

87

97

I counted 19.

I hope this helps!

pls ❤ and give brainliest pls

Order each set of numbers from least to greatest

1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex]

Answers

Answer:

41/3, 14, square root of 200

Step-by-step explanation:

41/3 = 13.66

14 is just 14

and square root of 200 is 14.14

geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.


HELP ASAP!!!!
THANK YOUUUUU

Answers

Answer:

575sq. ft

Step-by-step explanation:

The diagram given can be divided into two rectangles.

Area of a rectangle = length * width

Area of the larger rectangle = 15 * (45 - 10)

Area of the larger rectangle = 15 * 35

Area of the larger rectangle = 525sq. ft

Area of the smaller rectangle = 5 * 10

Area of the smaller rectangle = 50 sq. ft

Area of the room = 525 + 50

Area of the room = 575sq. ft


A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?

Answers

Answer:

8.69 per pair

Step-by-step explanation:

Take the total cost and divide by the number of pairs

26.07 /3

8.69 per pair

The answer would be $8.69 because you divide the total price by the number of items you have

Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1.

wrong answers = reported
ty<3

Answers

Answer:

y = 2 x^2 - 4 x + 1

parábola

Step-by-step explanation:

Tommy stands on a diving bored that is 4 feet above the pool’s surface. He dives and touches the bottom of the pool, which is 12 feet below the pool’s surface. What is the total length of Tommy’s dive?

Answers

Answer:t below the pool’s surface. What is the total length of Tommy’s dive?

7 feet

Step-by-step explanation:

Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.

Answers

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150​

Answers

Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A P E X fasted answer is getting 30 points please hurry.

suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)

Answers

Answer:

Step-by-step explanation:

If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.

Answer:

0.84

Step-by-step explanation:

yee its right

HELPPPPPPPP MEEEEE PLEASEEEE

Answers

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?​

Answers

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).

Answers

Answer:

.

.

.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,

.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎

.

.

To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?

Answers

Answer:

game1321.netlify.app

Step-by-step explanation:

This is a test sorry I'm trying to see if you can post links in comments

Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a

Answers

Answer:

[tex](6a-7)5a=30a^2-35a[/tex]

Step-by-step explanation:

Message if you want a detailed explanation.

the question is in the picture

Answers

Answer:

∠CBA

Step-by-step explanation:

Answer:

<CBA

Step-by-step explanation:

The vertex has to be in the middle

<CBA

<ABC

or we can name it with just the vertex

<B

Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus

Answers

Neptune has the strongest winds in the Solar System. Winds whip clouds of frozen methane across the planet at speeds of more than 1,200 miles per hour (2,000 kilometers per hour).

Answer: The answer is Neptune ^-^

Step-by-step explanation:

Got it correct on the test :]

evaluate 7-3s for s= -3​

Answers

Answer:

16

Step-by-step explanation:

Substitute s = - 3 into the expression

7 - 3(- 3) = 7 + 9 = 16

hannah has $345 in her savings account she wants to icrease that number by 20%

Answers

Answer:

345 × 20%

= $69 (20% increase)

345 +69

= $414 (final amount with 20% increase)


A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A

Answers

Answer: A) 1

Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1

graph the solution of this inequality: 4/9 x- 10 > x/3-12

Answers

Answer:

7

Step-by-step explanation:

I need help, can someone help me. please

Answers

Answer:

y = - 1/3x

Step-by-step explanation:

So the equation of a line can be written in the form y= mx+ c

Here y is the value of y in the y axis, x is the value of x in the x axis, m is the gradient ad c is the co-efficient.

We need to find the gradient of the line which is - 1/3.

That makes our equation y = - 1/3x

HOPE THIS HELPED

Help this needs to be answered

Answers

The equation of the linear function in slope-intercept form is  [tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of a linear function can be written in the slope intercept form as:

f(x) = mx + b,

where,

m represents the slope of the linear function

b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)

we need to find the value of m and b to be able to write the equation of the linear function.

Find slope (m):

From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).

Slope (m) = rise/run

Substitute:

Slope (m) = 3/6

m = 1/2

Find the y-intercept (b):

From the graph, the line cuts the y-axis at y = -5.

Therefore,

b = -5

Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:

[tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]

Learn more about how to write the equation of a linear function here:

https://brainly.com/question/12184348

The difference of two numbers is 12. If the greater number is three times the smaller one, find the numbers. ​

Answers

Answer:

Let the two numbers be X

The great number is X and the smaller number is 3X

X=3X

X-3X=12

-2X=12

X=12/-2

X=-6

The other number =3*6=18

2 numbers to find are a and b

We have: a - b = 12; a = 3b

=> a = 18; b = 6

according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8

Answers

Answer:

Hello,

Step-by-step explanation:

all potential roots are of the form a/b where a is a divisor of 8

and b is a divisor of 6 ( in Z)

So A,D,E,F may be roots

but B and C not.

Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15

Answers

Answer:

3/5 and 50/100

Step-by-step explanation:

changing the ratios into fractions are an easy way to check,

8/10 = 0.8

16/20 = 0.8

3/5 = 0.6

50/100 = 0.5

13/15 = ~0.8666

use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.

the measure of the angle is twenty-nine times greater than its supplement

Answers

X+29x= 180
30x= 180
One angle is 6 the other is 174

PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
10fx
9
8+
7
6
5
4.
3
2+
1
1 2 3 4 5 6 7 8 9 X

Answers

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

Which shapes have the greatest area?
(Select all that apply.)

Answers

Answer:

the trapiezium

Step-by-step explanation:

It has a area of 4 which is the highest

Find an explicit rule for the nth term of the arithmetic sequence.

-9, -4, 1, 6, ...

Answers

Answer:

hope it's helpful

Step-by-step explanation:

glad to help

Other Questions
find the value of x In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45. What is the weighted mean price per share? (Round your answer to 2 decimal places.) Please help!! Thank you! Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at 2208C with a mass flow rate of 1.2 kg/s. Refrigerant exits at 7 bar, 708C. Changes in kinetic and potential energy from inlet to exit can be ignored. Determine (a) the volumetric flow rates at the inlet and exit, each in m3 /s, and (b) the power input to the compressor, in kW.' The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the intensity of the light (in lumens) at a depth of 20 feet? Round your answer to the nearest hundredth and label 1 your answer. When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot. Joshua hopes to pursue a career as an electrician. He is going to graduate high school soon and receive his diploma, and he wants to enter the workforce as quickly as possible to start making money. Considering Joshua's goals, any of the following might be a good option for him EXCEPTA. attend a community college for two years to study the electrician program and then apply for an internshipB. enroll in a trade school that offers job placement and complete its program for electriciansC. pursue a federal loan to pay for a four-year degree in electrical engineering from a reputable universityD. research which electrical companies in his area offer an apprenticeship program Explain why 51 is not a prime number 18. Which of the following is true for a circle that has a circumference of approximately 75 feet?O The diameter is approximately 12 feet.O The radius is approximately 12 feet.O The radius is approximately 12 square feet.O The diameter is approximately 12 square feet. war never ends neither does My determination Which of the integers shown is the greatest? In circle G with m learn and observe air resistance by throwing objects from considerable height a; tissue paper b: plastic spoon c: stainless steel spoon take a record of your findings and observations and jot them down. Which detail from "The Monkey's Paw" most clearly helps create tension? Which of the following displays cannot be used to compare data from two different sets? Which expression is equivalent to 3(x - y) + y? 3x - 4y 3x - 3y 3x - 2y 3(x - 2y) Fine FG , given that line HF is perpendicular bisector or EG Find the size of unknown angles If p =(3x+1) and q = ( 3x-1),show that : pq+1 =x2 Use the DuPont system and the following data to find return on equity.(Do not round intermediate calculations. Round your answer to 1 decimal place.)Leverage ratio 2.8 Total asset turnover 2.5 Net profit margin 5.3 % Dividend payout ratio 35.2 % Return on equity %