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.

Learn more about maths in https://brainly.com/question/25908442


Related Questions

ACTIVITY 2 Continued
> Solve each problem.
Kathy works after school to finish assembling the 82 favors needed for the school
dance. When she starts at 3:15 PM, she counts the 67 favors already assembled.
She works until 4:30 PM to finish the job.
How many favors can Kathy assemble each minute?

Answers

Answer:

.2

Step-by-step explanation:

3:15 to 4:30 is 75 minutes

she had to assemble 15 since there were already 67 made

divide 15/75

.2 per minute

The next two systems do NOT have opposite like terms ​

Answers

Answer:

x = 10

y = 6

Step-by-step explanation:

Multiply second equation with -1 and then add it up with first equation

(-1)*(6x - 7y) = 18

-6x + 7y = -18

6x - 6y - 6x + 7y = 24 - 18 add like terms

y = 6 to find the value of x use this information

6x - 6y = 24 replace y with 6

6x - 6*6 = 24

6x - 36 = 24 add 36 to both sides

6x = 60 divide both sides by 6

x = 10

Solve the following formula for x y = 7 m x − 8 b

Answers

Answer: It depends on which variable you're solving for.

Step-by-step explanation:

Solving for b: b=7/8mx + -1/8xy

Solving for m: m=xy+8b

                             ______

                                   7x

Solving for x: x=-8b

                           ___

                          -7m+y

Solving for y: y=7mx-8b

                           ______

                                 x

(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: 1 m
(b) The area of a rectangular painting is 8712 cm?
If the width of the painting is 88 cm, what is its length?
Length of the painting: 1 cm

Answers

Answer:

(a) 63               (b) 99

Step-by-step explanation:

(a)

length x 2 = 150

275-150=126/2= 63

(b)

8712/88= 99

45
899
769
459
X?
Use the exterior angle sum to find the value of x in the diagram
above.
A.72
B.105
C.108
D.435

Answers

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Which inequality below is true?
a. -2>4
b. -4< 2
C. -4> 4
d. -4> -2

Answers

B is true!
Because 2 is greater than -4

Hope this helps!
Brainliest is much appreciated!

someone please help me giving brainlist

Answers

Answer:

A

Step-by-step explanation:

which of the following are needed to make an expression?
a- equal sign
b-number(s)
c-operation(s)
d-variable(s)

Answers

Answer:

Truly, it's all of the above!

rewrite in simplest terms -8(-10u+6u-7)-10u

Answers

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

Giải phương trình vi phân sau
Y"=2y'+y=e^x

Answers

You likely mean to write the differential equation,

y'' - 2y' + y = exp(x)

The homogeneous part

y'' - 2y' + y = 0

has characteristic equation

r² - 2r + 1 = (r - 1)² = 0

with a root at r = 1 with multiplicity 2, so the characteristic solution is

y = C₁ exp(x) + C₂ x exp(x)

For the particular solution, we assume an ansatz

y = ax² exp(x)

where a is an unknown constant. Differentiating the ansatz twice:

y' = ax² exp(x) + 2ax exp(x) = (ax² + 2ax) exp(x)

y'' = (ax² + 2ax) exp(x) + (2ax + 2a) exp(x) = (ax² + 4ax + 2a) exp(x)

Substitute y and its derivatives into the DE:

(ax² + 4ax + 2a) exp(x) - 2 (ax² + 2ax) exp(x) + ax² exp(x) = exp(x)

Solve for a :

(ax² + 4ax + 2a) - 2 (ax² + 2ax) + ax² = 1

2a = 1

a = 1/2

Then the particular solution is

y = 1/2 x² exp(x)

The general solution is then

y = C₁ exp(x) + C₂ x exp(x) + 1/2 x² exp(x)

Help help help help math math

Answers

Slope is 2/-1 or -2. Because you go up twice and then you go left once.

Answer:

y = -2x - 1

See image

Step-by-step explanation:

The "slope-intercept" form of the equation is the

y = mx + b form

So you need to find the slope (m) and the y-intercept (b), which you are able to find on the image in the question.

Slope (m) tells how steep a line is and whether it goes up or down from left to right. It also works just like directions, from any point on the line to any other point on the line.

The y-intercept (b) is the point on the line where the line crosses the y-axis.

The slope is -2 and the y-intercept is -1

So the equation is

y = -2x - 1

See image

Find BC.
A
B
С
D
Ош
E
=
=
AD = 10.5
AB = 2
CE = 11.5
AE = 15
BC = [?]
=
=
Fnter

Answers

Answer:

1.5

Step-by-step explanation:

since the lone segment is 15 so add ab and ce and let bc be x

so 2+x+11.5=15

13.5 +x =15

x=1.5

What is social stratification?

A. Studying a person's ancestors to learn more about his or her

status

B. Ranking people based on factors such as gender, wealth, and

occupation

C. Expecting women to be responsible for nurturing families and

caring for homes

D. Displaying expensive material objects to demonstrate one's status

Answers

Answer:

The answer is B

Step-by-step explanation

It's a system ranking people in a hierarchy

Answer the question for 20 points!!!!!

Answers

Answer:

4/6

Step-by-step explanation:

ok so you have 2/3 for 1 group. so for 2 groups youll just have to add 2/3 + 2/3 and that gives u 4/6

Can someone please explain step by step on how to do times fractions? Like for an a example!
4/5 • 2/3 ?

Answers

When multiplying fractions you multiply the denominators by the denominators and the numerators by the numerators
For example
4/5x 2/3
8/15

Of course!

First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.

Next, multiply both numerators together straight across, then denominators.

4·2=  8

5·3= 15

Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.

Answer: 8 / 15

5) Write the missing numbers to find the
quotient of 782 = 17. So that 782 = 17 = 46


Answers

Answer:

  quotient term: 6

  dividend term: 102

Step-by-step explanation:

[tex]\dfrac{782}{17}=\dfrac{680+102}{17}=\dfrac{680}{17}+\dfrac{\boxed{102}}{17}=40 +\boxed{6} = 46[/tex]

A car travels 18 miles on a gallon of gas. The car used 65 gallons of gas last week.compute the number of miles the car traveled?

Answers

Answer:  1170 miles

Work Shown:

(18 miles)/(1 gallon) = (x miles)/(65 gallons)

18/1 = x/65

x/65 = 18

x = 65*18

x = 1170

Answer: 1170 miles

1 gallon of gas --> 18 miles

65 gallon of gas --> 18 * 65 (which is 1170 miles)


Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator three
are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.

If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas wis
choose a raspberry yogurt?

Answers

Answer:

His probability of getting a raspberry yogurt is 3/5 or 60%.

Step-by-step explanation:

Pls mark brainliest.

To bring a "carry-on" bag onto an airplane the bag needs to weigh less than 25 pounds. Right now Julie's carry-on bag weighs 32 pounds. How much weight must Julie remove from her bag?

Answers

My answer needs to be 32-25=7

Solve for equation for x: 5^2 – 10x – 6 = 0

Answers

Answer: x= 1.9

Step-by-step explanation:

3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.

Answers

Step-by-step explanation:

1/5 of 175

=1/5×$175

=$35

sale price = original price - discount price

= $175 -$35

= $140

In solving the following system of equations, what would you multiply by in order to eliminate the y?

Equation 1: x + y = 7 Equation 2: 5x + 2y = 8

A. 0
B. -5
C. -2
D. 2
E. 5

Give the solution to the system above

A. (7, 0)
B. (1, 6)
C. ( 8, - 1)
D. ( 3, 4)
E. ( -2, 9)

Answers

Answer:

D

E

Step-by-step explanation:

we need to multiply x+y=7 by   2

2x+2y=14

5x+2y=8

subtract

-3x=6

x=6/(-3)=-2

-2+y=7

y=7+2=9

solution is (-2,9)

In order to solve the following system of equations by elimination, which process creates opposite coefficients to eliminate the y variable?

2x + y = 5
x + 4y = -7


A. Multiply the first equation by 4

B. Multiply the second equation by 2

C. Multiply the first equation by -4

D. Multiply the second equation by -2

Answers

Answer:

C. Multiply the first equation by -4

Step-by-step explanation:

Hi there!

In order to eliminate the y values, we would have to find a number in which the sum of the top y value and the bottom y value would equal 0. In this case, the bottom y value is equal to +4 (the +4y), so we would have to find the number that would add to make that 0, which is -4. Since the y value for the top equation is 1, all we have to do is multiply the equation by -4 so that our y value is equal to -4y and the y can be eliminated.

I hope this helps!!

The owner of a small store buys coats for ​$55.00 each. they sells the costs for ​$99.00 each. What percent of the purchase price is the sale​ price?

Answers

Answer:

55.56%

Step-by-step explanation:

55/99=.5555555...

.55555...*100=55.555...%

55.56%

Don’t know how to do this

Answers

Answer:

[tex]horizontal : 76 \\ \\ \\ vertical : 33 \\ \\ pls \: check \: this \: answer \\[/tex]

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

Answer:

Copy an angle is the best solution with compass and straight edge.


A rectangular pool has a length of
4x + 7 feet and a width of 15x - 2 feet. Which
expression represents the perimeter of the
pool?

Answers

P=(15x-2+4x+7)2=(19x+5)2=38x+10

License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured? (Repetitions are allowed.)

Answers

Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence [tex]n_1 = n_2 = n_3 = 26[/tex].For the 3 numbers, there are 10 outcomes, hence [tex]n_4 = n_5 = n_6 = 10[/tex]

Then:

[tex]N = 26^3 \times 10^3 = 17576000[/tex]

17,576,000 different license plates can be manufactured.

To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866

BraniliestBraniliestBraniliestBraniliest Braniliest

Answers

Answer:

-20.54 C

Step-by-step explanation:

Form an equation

-12.94 C = initial temperature

changes -1.9 per hour = -1.9h

h = hour

x = temperature after 4 hours

-12.94 -1.9h = x

substitute 4 for "h"

-12.94-1.9(4) = x

x = -20.54C

Answer:

-20.54

Step-by-step explanation:

Just multiply -1.9 by 4 then add it to 12.94

PLEASE HELP ME RN PLEASE ​

Answers

Answer:

1.

[tex] \frac{n^{2} - 1 }{2} [/tex]

2.

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

Area of triangle=1/2×b×h

=

[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]

[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]

[tex] \frac{ {n}^{2} - 1 }{2} [/tex]

2. Area of triangle=14

[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]

[tex] {n}^{2} - 1 = 28[/tex]

[tex] {n}^{2} = 29[/tex]

[tex]n = \sqrt{29} [/tex]

please rate well and mark BRAINLIEST.

thanks

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