Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309.Select the 98% confidence interval for Adam’s set of data.a. 46.94 to 71.33b. 46.94 to 79.46c. 55.45 to 79.46d. 55.45 to 70.95

Answers

Answer 1

Answer:

Option D, 55.45 to 70.95

Step-by-step explanation:

Alpha = 1 – confidence interval  

Alpha = 1 – 0.98 = 0.02

Sample size = n = 8

t (alpha/2) ; (n-1) = t (0.02/2) ; (8-1) = t 0.01, 7 = 2.998

Mean = sum of all frequencies /total number of frequency = 505.6/8 = 63.2

s = 7.309

E = t (0.01;7) * s/sqrt n

Substituting the given values, we get –  

E = 2.998 * 7.309 /sqrt  (8)

E = 7.75  

98% confidence interval  

Mean – E  and Mean + E

63.2 – 7.75 and 63.2 + 7.75  

(55.45, 70.95)

Answer 2

Answer: 55.45 to 70.95

Step-by-step explanation:


Related Questions

I WILL MARK BRANLIEST IF YOU ANSWER CORRECTLY

Answers

Answer:

ok what is your question.



3. Write the ones digit in the square of each of the following numbers
a.13
b. 27
c.46
d.20
e.75
f.31
g.42
h.64
i.38
j.79

Answers

Answer:

a.9

b.9

c.6

d.0

e.5

f. 1

g.4

h.6

i.4

j.1

find f(-2) for f(x)=3•2^x

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

f(-2) = 3•2^-2

f(-2) = 3•0.25

f(-2) = 0.75 or 3/4

Hope this helps! :)

What is the area of the sector shown in the diagram below?
8 cm
40*
C
A. 89.4 cm2
B. 5.6 cm2
C. 25.1 cm2
D. 22.3 cm2

Answers

Answer:

the answer for this C.

Step-by-step explanation:

are

[tex]area \: of \: a \: sector \: is \: \frac{teter}{360} \times \pi {r}^2 \: [/tex]

[tex]therefore \: it \: is \: equal \: to \: \frac{40}{360} \times \frac{22}{7} \times 8 \times 8 \\ = \frac{40}{360} \times \frac{22}{7} \times 64 [/tex]

[tex]you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: \frac{1}{9} \times \frac{22}{7} \times 64 \\ \frac{1408}{63} \\ = 22.3.[/tex]

The product of ______________ and (-1) is -35.

Answers

Answer:

35

Step-by-step explanation:

The product of 35 and (-1) is -35.

As,

35 × (-1) = -35

Find each missing length to the nearest tenth.​

Answers

Answer:

8.944

Step-by-step explanation:

To find the missing Length, Use Pythagorean Theorem!

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+8^2=c^2[/tex]

[tex]16+64=c^2[/tex]

[tex]80=c^2[/tex]

[tex]\sqrt{80} =8.944[/tex]

so it is approximately 10 but not quiet

hope this helps

What are the solutions to this equation?
-7 + (x2 – 19) = 20
-10
5.6
There are no solutions.
10
-5.6

Answers

I think the answer is: -10 and 10

Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero
As the x-values go to positive infinity, the function's
values go to positive infinity.

Answers

Answer:

I believe it is the first choice

Step-by-step explanation:

As the x-values go to positive infinity, the function's

values go to negative infinity is the answer because the x-valures are in the first coordinate which is positive but the functions is going negative because of the line in the 3rd coordinate.

I tried my best, i hope you get it correct.

Please let me know if this is correct or not, if not i will edit my answer.

Please mark brainliest :)

What was the original price? Explain how you arrived at this answer.
ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

Answer:

180

Step-by-step explanation:

120 divide by 2

then times by 3

Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ _____________ texts this month in order to stay within

Answers

Answer:

3000 text messages can be sent without breaking the budget.

Step-by-step explanation:

Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

(140 - 50) / 0.03 = X

90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

[tex]\sqrt{160000}[/tex]

what is the value of this

Answers

Answer:

400

Step-by-step explanation:

sqrt(160000)=sqrt(16)*sqrt(10000)=4*100

a principios de un mes, el precio de la gasolina de 95 octanos era de 750 el litro. si aunmento en un 12% el dia 10 y luego disminiyo un 5% el dia 24 ¿cual es el precio a fin de mes?

Answers

Answer:

750/100*12=90.        640,        37.5 O  32, entonces seria 670.5 o 673, tu decides, porque no se si el aumento o disminuyo del segundo es a base del valor inicial, pero yo diria que si, asi que suerte! espero te ayude

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x 49 x dx

Answers

Answer:

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2\sqrt{x + 49} +49\ln|\frac{\sqrt{x + 49}-7}{\sqrt{x + 49}+7}|+c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx[/tex]

Required

Solve by substitution

Let:

[tex]u = \sqrt{x + 49}[/tex]

Square both sides

[tex]u^2 = x + 49[/tex]

Differentiate

[tex]2udu = dx[/tex]

Also notice that:

[tex]x = u^2 - 49[/tex]

So, we have:

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{u}{u^2 - 49}} \, 2udu[/tex]

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2}{u^2 - 49}} \, du[/tex]

Add 0 to the numerator

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2+0}{u^2 - 49}} \, du[/tex]

Express 0 as 98 -98

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2-98+98}{u^2 - 49}} \, du[/tex]

Split the fraction

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( \frac{2u^2-98}{u^2 - 49}+\frac{98}{u^2 - 49} )\, du[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( \frac{2(u^2-49)}{u^2 - 49}+\frac{98}{u^2 - 49} )\, du[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( 2+\frac{98}{u^2 - 49} )\, du[/tex]

Rewrite as:

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( 2+\frac{98}{u^2 - 7^2} )\, du[/tex]

Integrate

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +\int\frac{98}{u^2 - 7^2} \, du[/tex]

Remove constant (98)

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98\int\frac{1}{u^2 - 7^2} \, du[/tex]

As a general rule,

[tex]\int \frac{1}{x^2 - a^2} \, dx = \frac{1}{2}\ln|\frac{x-a}{x+a}|[/tex]

So, we have:

[tex]\int \frac{1}{u^2 - 7^2} \, du = \frac{1}{2}\ln|\frac{u-7}{u+7}|[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98\frac{1}{u^2 - 7^2} \, du[/tex] becomes

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98*\frac{1}{2}\ln|\frac{u-7}{u+7}|+c[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +49\ln|\frac{u-7}{u+7}|+c[/tex]

Substitute values for u

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2\sqrt{x + 49} +49\ln|\frac{\sqrt{x + 49}-7}{\sqrt{x + 49}+7}|+c[/tex]

In an all boys school, the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be taller than 72 inches tall, to the nearest thousandth?

Answers

Answer: 0%?

Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.

The probability is 0.160

What is probability?

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

mean (μ) = 68 inches

Standard Deviation (σ) = 3

We know,

Z = [tex]\frac{x - mean}{standard deviation}[/tex]

From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%

                                                  = 16%

The probability that a randomly selected student will be taller than 72 inches = 16/100

           = 4/25

           = 0.16

           = 16%

Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

             

Answer all question

1.There is a circular path around a sports field. Erica takes 18 minutes to drive one round of the field.
Harriet takes 12 minutes. Suppose they both start at the same point and at the same time and go in
the same direction, after how many minutes will they meet?

2. Round the following to four significant figures.
i. 0.00095897
ii. 24596

Answers

Answer:

1. LCM of 18 & 12 = 36 minutes

2. 0.00095897

explanation.

2 18 2 12

____I______ ___l_________

3 9 2 6

____l_______. ___I_________

3 3 3 3

_____l________. ___l_________

l 1

18= 2×3×3 12=2×2×3

1 2 2 1

=1 × 3 =2 × 3

L.C.M= product of greatest power of each prime factor.

2 2

= 2 × 3

=4×9 = 36

hence, time taken by both to meet again

LCM of 18 & 12 =36 minutes

you arrive in Mexico City with $360 how many pesos can you buy?

Answers

Answer:

7 442,84

Step-by-step explanation:

16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).

Answers

Answer: Rachel gets a total of 2459 dollars to save each month.

Step-by-step explanation:

200+9+50+200+82=541

3000-541=2459

A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres

Answers

The answer is 2.1 Km. Hope this helps!

A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Answers

Answer:

[tex]V=6912ft^3[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter  [tex]D=40ft[/tex]

Radius [tex]r=d/2=>20ft[/tex]

Depth at south [tex]d_s=3ft[/tex]

Depth at north [tex]d_n=8ft[/tex]

Average depth of the pool

 [tex]d_a=\frac{3+8}{2}[/tex]

 [tex]d_a=5.5ft[/tex]

Generally the equation for Volume is mathematically given by

 [tex]V=\pi r^2h[/tex]

 [tex]V=3.142*(20)^25.5[/tex]

 [tex]V=6912ft^3[/tex]

Pluto is 3,647,720,000 miles from the sun. what is that distance in AU?
1. 3.4
2. 39.2
3. 0.25
4. 26.3

Answers

Answer:

39.2 AU.

Step-by-step explanation:

If my memory serves me right an astronomical unit is 93,000,000 miles.

So the answer is 3647720000/93000000

= 39.2 AU.

The answer should be 39.2

A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.

Answers

Answer:

The volume of the rock is 648 cm^3

Step-by-step explanation:

Likely the only dimension that is free to move is the depth of 7 cm.

Volume of the Rock = L * W * h1

L = 24

W = 10

h1 = 2.7

V = 24 * 10 * 2.7

V = 648 cm^3


Please can someone help quick and now 115 students choose to attend one of three after school activities: football, tennis or running.
There are 54 boys.
52 students choose football, of which 25 are girls.
43 students choose tennis.
10 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.

Answers

Answer:

only 20 students would

Step-by-step explanation:

the probability would be very since it is 20 out of 115. i hope this helped

PLEASE HELP URGENT Give evidence and proof no links
1/What is the correct written expression for the variable expression: (3 - x)/7 *

the difference of 3 and x divided by 7
3 divided by the difference of 7 and x
the sum of 3 and x divided by 7
the difference of 3 divided by 7 and x

2.Johnny is 5 less than 3 times the age of Elizabeth. If Elizabeth is e years old, which expression shows Johnny's age? *

3e - 5
3e + 5
5 - 3e
5 + 3e

3.What is the value of 4a - 7b - 8, when a = 7 and b = 3? *

1
15
-1
-45

4.Jose has g video games. Tony has 8 fewer games than Jose. What variable expressions represents the total number of video games Jose and Tony have? *

g + 8
2g + 8
g - 8
g + (g - 8)

5. Which written expression represents the variable expression 1/2 (8 - y) *

One half of eight less than a number y
A number y less than half of eight
One half the difference between eight and a number y
the difference of one half of eight and a number y

Answers

A1/ the difference of 3 and x divided by 7

A2/ 3e - 5

A3/ -1

A4/ g + (g - 8)

A5/ One half the difference between eight and a number y

I'm not sure, but I hope it helps :)

Have a stack of quarters
from the floor to the top of
your head OR $225?

Answers

Answer:

225 quarters are easy to loose and who will accept that many quarters

Step-by-step explanation:

Answer:

quarters

You will get more money

Multiply 2x(5x+8y+3)

Answers

Answer:

10x² + 16xy + 6x

Step-by-step explanation:

2x(5x+8y+3)

10x² + 16xy + 6x

Answer:

[tex]10x^{2} + 16xy + 6x[/tex]

Hope this helped!

If ABC~DEF what is the length of BC?

If ABC~DEF what is the length of EF?

Answers

BC would equal the same as EF, they are similar. All you would have to do is figure out the pre image (BC) of EF.

Answer: 8

Step-by-step explanation:

9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)​

Answers

Answer:

[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]

ASAP!!! There are three marbles in a bag. One is red and two are black. What is the probability of picking a red marble first, putting it back in the bag and then picking a black marble? Use the following probably need to find the answer.

Answers

Answer:

The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)

Step-by-step explanation:

Hey there!

The probability of first getting a red marble is 1/3 since we have 1 red marble out of 2 + 1 = 3 total.

We put the marble back. The probability of then choosing a black marble is 2/3, since we have 2 black marbles out of 3 total.

So we get 1/3 * 2/3 = 2/9

The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)

Hope this helps, please mark brainliest if possible. Have a nice day. :)

5.3x-4=15.61 solve for x please

Answers

Answer:

x = 3.7

Step-by-step explanation:

15.61 + 4 = 19.61

19.61 divided by 5.3 = 3.7

Therefore, x = 3.7

Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.

X=3.7
The answer is written above these are filler words for explaining the answer you’re welcome :)

Find the slope of the line that passes through the following points. Simplify answer (-6,8)and(-1,8)

Answers

Answer:

m = 0

General Formulas and Concepts

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points

Point (-6, 8)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{8 - 8}{-1 - -6}[/tex][Fraction] Subtract:                                                                                            [tex]\displaystyle m = \frac{0}{5}[/tex]Divide:                                                                                                                 [tex]\displaystyle m = 0[/tex]
Other Questions
7 gi bng bao nhiu giy? What is the value of sece given the diagram below?What is the value of sece? Cual es el volumen de un cubo de 6cm de lado which of the following is the equation of a line in slope-intercept form for a line with slope = 1/2 and y intercept at (0,-4)? In which season(s) are the most populations limited in Mono Lake? questions for muslium..... Qu significa el Nacional aqu? Y a qu se refiere? A los saludos y los vivas de la gente, Gallardo contestaba con una sonrisa. A su lado iba el Nacional, el pen de confianza, un banderillero, diez aos mayor que l. What is the unit rate for 297 miles on 11 gallons of gas? What is the largest bullring in the world?La plaza de Toros de VenezuelaLa plaza de Toros de MxicoLa plaza de toros de Madrid When adopting and implementing a Software as a Service (SaaS) platform such as Salesforce for your business, which responsibility falls on you, as the client company? Demand for a product is 500 units per month. The company incurs a fixed order placement, transportation, and receiving cost of 4,000 each time an order is placed. Each cycle costs 500 and the retailer has a holding cost of 20 percent. Evaluate the number of products that the store manager should order in each replenishment lot? Mertis, Inc. reported Net fixed assets as follows on its Balance sheets for December 31, 2011, and December 31, 2012 look as follows: 2011 2012Net fixed assets 815,000 865,000On its 2012 Income statement, Mertis recorded a depreciation expense of $34,971. What amount of cash did Mertis spend in 2012 on new fixed assets? (Record your answer without a dollar sign and without commas, for example, a record $32,400 as 32400). which of the following exponential functions represents the graph below?[tex] a.\: \: \: \: \: \: f(x) = 5 ( \frac{1}{4}) {}^{x} [/tex][tex] b. \: \: \: \: \: \: \: \: \: \: \ f(x)54 {}^{x} [/tex][tex]c .\: \: \: \: \: \: f(x) = 4 ( \frac{1}{5}) {}^{x} [/tex][tex]d. \: \: \: \: f(x)=45 {}^{x} [/tex] whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a A 1-m3 tank holds a two-phase liquid-vapor mixture of carbon dioxide at 17 C. The quality of the mixture is 70%. For saturated carbon dioxide at 17 C, vf = 0.982710-3 m3/kg and vg =1.75610-2 m3/kg. Determine the masses of saturated liquid and saturated vapor, each in kg. What is the percent of the total volume occupied by saturated liquid? HELP HELP HELP HELP solve this Jasmine bought a game systemthat cost $299 before tax. The totalincluding sales tax was 1.07 timesthe price. A discount was thenapplied by multiplying the total priceby 0.90. What was the total cost ofthe game system including the salestax and discount? What issues are you interested in speaking out about? How can you get involved in a direct action about that issue? Categorizing Timeframes of Goals: Part 2 Select the type of goal that best describes each example. Chandler wants to get a summer job. Cassidy wants to become fluent in another language. Karla wants to save 30 percent of her income every year, so she can retire early Done Intro 12 of 21 Read this excerpt from Narrative of the Life of Frederick Douglass. I was probably between seven or eight years old when I left Colonel Lloyd's plantation. I left it with joy. I shall never forget the ecstasy with which I received the intelligence that my old master (Anthony) had determined to let me go to Baltimore, to live with Mr. Hugh Auld, brother to my old master's son-in-law, Captain Thomas Auld. I received this information about three days before my departure. They were three of the happiest days I ever enjoyed. I spent the most part of all these three days in the creek, washing off the plantation scruff, and preparing myself for my departure. Which best explains how Douglass uses objectivity to convey his perspective in this passage? A. He uses formal word choice, like "departure," to establish his credibility B. He incorporates the names of influential people who can verify his story O C. He avoids sentimentality by choosing not to linger on his feelings about leaving the plantation. D. He creates pathos by explaining how happy he is to leave Colonel Lloyd's plantation SUBMIT