The average price of an item is $42 with a standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation!

Answers

Answer 1

The mean price goes between $ 41.16 and $ 42.84, so a value of $ 48 is unusually high.

Since the average price of an item is $ 42 with a standard deviation of $ 3, to find a 98% confidence interval about the mean, and determine if a value of X = 48 is unusually high or if it is normal, the following calculations should be done:

(((42 - 3) + (42 + 3)) / 2) x 0.98 = X ((39 + 45) / 2) x 0.98 = X 42 x 0.98 = X 41.16 = X

(((42 - 3) + (42 + 3)) / 2) x 1.02 = X ((39 + 45) / 2) x 1.02 = X 42 x 1.02 = X 42.84 = X

Therefore, as the mean price goes between $ 41.16 and $ 42.84, a value of $ 48 is unusually high.

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Related Questions

Pls answer this question


Yesterday, 5/6 of the 120 students in a contest gave their speeches. How many students gave their speeches.

Answers

Answer:100 Estudiantes dieron su discurso

Step-by-step explanation:

120÷6=20

20x5=100

100 Students

How?

120÷6=20

You can do this,

or you can do

120×1/6=20

_____________________________________________

20×5=100

Therefore,

100 students gave their speeches.

2+2+4+6+9+2+4+5+7+0+10+3

Answers

Answer:

The answer is 54.

Step-by-step explanation:

You add all these numbers up.

Can someone explain how you do fractions like adding them? And what rules they have to find the answer?

Answers

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

Question 1: Four expressions are shown below:

A. 2(4x + 2)

B. 2(3x + 3)

C. 6x + 6

D. 8x + 4

Which two expressions are equivalent to 2(3x + 2 + x)? (5 points)


A and D


B and D


A and C


C and B

Question 2:
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22?

3

4

5

6

Answers

Answers;

Question 1 answer: The first and last option.

Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.

2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.

Question 17 of 20
How did women's roles change as a result of the Industrial Revolution in
Europe?
O A. Women earned the right to vote in most democracies by
organizing protests.
OB. Women earned salaries equal to men's for the first time in history,
O C. Women gained increased economic independence by working in
factories
O D. Women largely controlled agriculture by replacing male farmers
who moved to cities.

Answers

As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in  factories

The Industrial Revolution:

Allowed for women to be employed in certain factories Allowed for women to get paid salaries as a result

When women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.

In conclusion, the industrial revolution allowed for the economic independence of women to increase.

Find out more on the industrial revolution at https://brainly.com/question/13323062.

find the derivitive of f(x)=(x+9)/(x+1)

Answers

[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]

please help ASAP! i have been struggling on this question and need help!

Answers

Answer:

841.53

Step-by-step explanation:

equation for annual intrest is

[tex]I*y^x=f[/tex]

where I is your initial amount, y is equal to [tex]1+(interest /100)[/tex]

and x is equal to the amount of years you're looking for, with f being the final balance

so for this questions, the equation is as follows

[tex]600*(1+7/100)^5=f\\600*1.07^5=f\\600*1.40255=f\\841.53=f\\[/tex]

The table below shows the deposits (+) and withdrawals ( - ) each week for a newly opened bank account with a starting balance of $100.
DEPOSITS AND
WITHDRAWALS
Week 1+120
Week 2 -100
Week 3 +50
Week 4 P
Week 5 +200
Week 6 -100
Week 7 -25
Week 8 +50
Part A: What is the value of p if the account shows a zero balance after 4 weeks?

Answers

From the given table, the positive sign connote deposit while the negative sign connotes withdrawal.

If the account shows a zero balance after 4 weeks, we will take the sum of all deposits and withdrawals for the first four weeks and equate to zero as shown:

[tex]+120+(-100)+50+p=0[/tex]

Open the parenthesis:

[tex]+120-100+50+p=0\\20+50+p=0\\70+p=0[/tex]

Subtract 70 from both sides

[tex]70+p-70=0-70\\p=-70[/tex]

Hence the value of p if the account shows a zero balance after 4 weeks is -70

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what is the slope of
12(x−6)=4(y+3)

Answers

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

How do I write 435 in expanded from

Answers

Answer : 400 + 30 + 5

Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".

4 --> Since it's in the hundreds place that means the number is 400 !

3 --> Since it's in the tenths place that means the number is 30 !

5 --> Since it's the first digit that means it stays as the number 5 !

Hope this helped ! <33

Take care happy holidays ! Contact me if you need more help on this ! ( If you want )

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

2.5 inches
5.0 inches
7.1 inches
9.8 inches
PLZ ANSWER ASAP

Answers

Answer:

C

Step-by-step explanation:

This means that there is another leg of an isosceles triangle that is also 5 inches.

a^2 + b^2 = c^2

a = 5

b = 5

c = ?

c^2 = 5^2 + 5^2                 Combine

c^2 = 25 + 25

c^2 = 50                            Take the square root of both sides.

sqrt(c^2) = sqrt(50^2)

c = sqrt(5 * 5 * 2)                Take out 1 of two factors under the root sign.

c = 5 * sqrt(2)                      The 2 is left over because there is only 1 of them

sqrt(2) = 1.4142

c = 5 * 1.4142

c = 7.07 = 7.1

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area

Answers

Here !

I hope this helps you a little ,

Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.

A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample​

Answers

Answer:

the answer would be a because 42÷6=7 and 42÷3=14.

The correct answer is option A) The number 42 is an example The conclusion is true.

42 is a multiple of both 3 and 6.

How many does multiple mean?

Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.

What is a multiple in math?

A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

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It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much of each ingredient is used for 10 pizzas

Answers

multiple everything by 10

8. The circle centered at Q is a scaled copy of the circle center
at R. (Lesson 3-1)
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a. Find the scale factor
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3
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5
LO512 D
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Orion V Com odnos
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was born and stoclips na
b. Find the value of x.
Q
diale 2020 Dins besipnon ripA

Answers

Answer:

scale factor is: 1:4

the value of x is: x=4

Step-by-step explanation:

to find the answer, you do

x= √5² - 3² = √25 - 9 = √16 = 4

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.

Answers

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?

Answers

13, I believe? Sorry if you get it wrong

are 1/2 and 2/4 proportional?​

Answers

Answer:

yes they are proportional

Yes, 1 is half of 2 and 2 is half of 4

Find the probability of selecting a 3 or 4 when a single die is rolled once

Answers

Answer:

1/3

Step-by-step explanation:

there are 6 sides to a die : 1, 2, 3, 4, 5, 6.

as one can interpret, 3 & 4 take up 2 parts of the 6 possible options

each result has equal oppurtunity to occur

so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified

1/3 because 3 and 4 is 2/6 of the dice and if you simplify that you get 1/3

What is the answer to the question. Solve for x

Answers

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
is represented by y. The number of servings of milk poured from the carton is represented by x.
4.) How many ounces of milk are in an unopened carton?
5.) How many ounces of milk are in each serving?

Answers

Answer:

-Below.

Step-by-step explanation:

4) When the carton is unopened the number of servings x = 0.

So there are 64-4(0) = 64 ounces in an unopened carton.

5) When all the milk has been poured out no. ounces left (y)  = 0 so

64 - 4x = 0

4x = 64

x = 16

So each serving contains 16 ounces of milk.

solve and check the equation
2(4-5x) = 2(3x+2)

Answers

ANSWER: 0,25
Ok done. Thank to me :>
2(4-5x)=2(3x+2)
8-10x=6x+4
Subtract 4 on both sides
4-10x=6x
Add 10x to both sides
4=16x
Divide both sides by 16
0.25=X

Check

2(4-5x)=2(3x+2)
2(4-5(0.25))=2(3(0.25)+2)
2(4-1.25)=2(0.75+2)
2(2.75)=2(2.75)
5.50=5.50

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

Please Guyz I Want Full Solved Not Just Answer Please ​

Answers

Formula of surface area of cuboid = 2(lb+bh+lh) . Surface area of cuboid is 14800cm^2 (Given) then 14800 = 2(60*40+40*Height+Height*60) 14800= 2(2400+40*H+H*60) 14800= 4800+80*2H+2H*60 14800= 4880*4H*60 14800/4880*60= 4H
14800/292800=4H
7400/146400=4H
3700/73200=4H
1850/36600=4H
925/18300=4H
185/3660=4H
37/732=4H
37/732*4=H
37/2928=H
H= 79.1351351

Answer:

The height of cuboid is 50 cm.

Step-by-step explanation:

Given :

➺ Length of cuboid = 60cm➺ Width of cuboid = 40cm.➺ Surface area of cuboid = 14800cm²

To Find :

➺ Height of cuboid

Using Formulas :

[tex]\star\small{\underline{\boxed{\sf \pink{SA_{(Cuboid)} = 2(lb + bh + lh)}}}}[/tex]

»» SA = surface area »» l = length »» b = breadth »» h = height

Solution :

Substituting all the given values in the formula to find height of cuboid :

[tex]{\longrightarrow{\sf{SA_{(Cuboid)} = 2(lb + bh + lh)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(60 \times 40 + 40 \times h + 60 \times h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 40h + 60h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 2(2400 + 100h)}}}[/tex]

[tex]{\longrightarrow{\sf{14800= 4800 + 200h}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 14800 - 4800}}}[/tex]

[tex]{\longrightarrow{\sf{200h = 10000}}}[/tex]

[tex]{\longrightarrow{\sf{h = \dfrac{10000}{200}}}}[/tex]

[tex]{\longrightarrow{\sf{h = \cancel{\dfrac{10000}{200}}}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{h = 50 \: cm}}}}}}[/tex]

Hence, the height of cuboid is 50 cm.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

What is the probability of rolling a 4 on a number cube and pulling a red marble out of a bag that contain 3 red, 2 black, and yellow marbles?​

Answers

Answer:

1/12

Step-by-step explanation:

rolling 4 on a cube= 1outcome/6 total=1/6

pulling red marble= 3 possible red marble/6 total marbles=1/2

1/6*1/2=1/12

A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high. What is the volume of the room?

Answers

Answer:

720 ft^3

Step-by-step explanation:

6 * 10 *12

v = l * w * h

6 * 10 * 12 =  720

Volume is a three-dimensional scalar quantity. The volume of the self-storage centre room is 720 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.

Volume = Length × Width × Height

Given that the self-storage centre room's are 6 feet wide, 10 feet deep, and 12 feet high. Therefore, the dimension of the room can be written as,

Length = 10 ft

Width = 6 ft

Height = 12 ft

Now, the volume of the room can be written as,

Volume of the room = 10ft × 6ft × 12ft

                                  = 720 ft³

Hence, the volume of the self-storage centre room is 720 ft³.

Learn more about Volume:

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I want a way to solve such a problem​

Answers

Answer:

none of these is the answer

hope it helps you

Step-by-step explanation:

Hope it will help you...

The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:

The number of students who chose Basketball is three times the number of students who chose Other.

Ten more students chose Football than chose Hockey.

The percent of students who chose Basketball plus the percent of students who chose Football equal 65.

What percent of the students chose Basketball?

Answers

Answer:

Yo…what’s the graph?

Step-by-step explanation:

The heights of adult men in America are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches. It is sometimes said that women don't like to dance with shorter men. To get a dancing partner, a 6-foot two-inch tall woman draws from a hat the name of an adult American male. What is the probability that he will be as tall as she?

Answers

So step by step explanation

11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept

(0,3) and (2,6)

Answers

Answer:

Y intercept is (0,3)

Step-by-step explanation:

Check out the image

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