In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.

Answers

Answer 1

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)


Related Questions

whats 76x168 + 69+87=

Answers

Answer:

12,924

Step-by-step explanation:

76x168= 12,768

and...

69+87= 156

now we add them together...

12,768+156= 12,924

Hope this helped you- have a good day bro cya)

Jack was seven years older than Pacella together their ages total 171 years. what will the ages

Answers

Answer:

164

Step-by-step explana

Answer:

82-Pacella

89-Jack

Step-by-step explanation:

x is Pacella

y is jack

y=7+x

x+y=171

Graphing these, they intersect at (82,89)

(IMAGE IS ATTACHED. PLEASE HELP! GIVING 100 POINTS)
What is the value of x?


Enter your answer in the box.

Answers

Answer:

x = 50

Step-by-step explanation:

→ Make the equations equal to each other

2 ( x + 10 ) = 3x - 30

→ Expand brackets

2x + 20 = 3x - 30

→ Minus 3x from both sides

-x + 20 = -30

→ Minus 20 from both sides

-x = -50

Opposite angles are equal

[tex]\\ \sf\longmapsto 2(x+10)=3x-30[/tex]

[tex]\\ \sf\longmapsto 2x+20=3x-30[/tex]

[tex]\\ \sf\longmapsto 3x-2x=30+20[/tex]

[tex]\\ \sf\longmapsto x=50[/tex]

Hello! I'm in the 7th grade and I'm having trouble with math this year... Will someone please help me with this? :)

(the question is down below)

Answers

Answer: 66

Step-by-step explanation: 30 x 2 = 60... 30 / 5 = 6... 60 + 6 = 66 :D

i'm in seventh too hehe

The lines given by the equations y = 2x and y= 2x + 1 are
A. Parallel
B. Perpendicular
C. Neither Perpendicular nor parallel

Answers

A. is the answer i’m pretty sure

1. Jean bought the new Iphone for $1080 (Tax included) on an installment plan. The installment
agreement included a 10% down payment and 24 monthly payments of $50 each.
a. How much is the down payment?
b.what’s the total amount of the monthly payments?
c.how much did Jean pay for the phone on the installment plan?
d.what is the finance charge (interest)?

Answers

Answer:

jndfjhasbfjashdfbasjdfbjashbdcjashdbjcbjhasdcbjasdcbjashdcbjashcdbjadhcbasdhcb

Step-by-step explanation:

The sale price of an item is $330 after a 25% discount. What was the original price of the item?

Answers

Answer:

$440

Step-by-step explanation:

100%-25%=75%

75%=330

1%=330÷75=4.4

100%=100x4.4=440

Hope this helps! Thanks.

The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.

Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6

How many miles did she travel each hour?

Answers

Answer:

20

Step-by-step explanation:

Answer:

To be honest i think that the answer is 23!!

Step-by-step explanation:

Tell me pls but pls no files

Answers

Answer: C

Step-by-step explanation:  When you rotate it 90 degrees it is the same then you put it 3 to the right which makes it opposite. I mean I am pretty Sure.

What is the equation of a line that passes trough (6,-1) and is parallel to the line that has a slope of -2/3?

Answers

Answer:

y=-2/3x+3

Step-by-step explanation:

First, identify the slope you need for your equation. The keyword here is "parallel" so the slope you need is the same as the given slope (-2/3).

Next, use the ordered pair (6,-1); it's on the line that you need to find the equation for. Using slope-intercept form (y=mx+b), plug the -1 in for y, plug the 6 in for x, and plug in your slope of -2/3 for m. Solve for b, your y-intercept. You should get 3.

You have your slope and y-intercept now. Create your equation:

y=-2/3x+3.

A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5

Answers

Answer:

a

Step-by-step explanation:

51 3/5 = 258/5

258/5 / 4 = 12.9 (meters the submarine dives each min)

now we have to find out what 12.9 is as a fraction!

12.9= 12 9/10 because .9 is equal to 9/10, and 12. equals 12!

gardener has 27 pansies and 36 daisies. He plants an equal number of each
type of flower in each row. What is the greatest possible number of pansies in
each row? Thanks

Answers

Answer:

9

Step-by-step explanation:

the gcf is 9

Write the polynomial that has factors of 2 and -6.

Answers

answer:

y = (x - 2) (x + 6)



hope this helps, have a great day
mark brainliest :))!!

Answer: x^2 - 4x - 12

Step-by-step explanation:

Factors are (x + 2) and (x - 6)

    (x +2)(x - 6)

    *multiply the first x by the second x and then by the -6

       x^2 - 6x

    * multiply the 2 by the second x and then the -6

         2x - 12

  * combine the two expressions

   x^2 - 6x + 2x - 12

  *simplify

   x^2 - 4x - 12

Shelly bought a bed sheet for $1699.
She gave the Shopkeeper $2000 - what
amount will be returned
by
the shopkeeper?

Answers

Answer:

the shop keeper will return $301.00

The shop keeper will return $301.00

I don’t know the answer help pls

Answers

Answer: Option A

EXPLANATION: Trust me :)

What is another name for the cell membrane? Generally speaking, identify the overall structure of the cell membrane.

Answers

Another name for the cell membrane,is plasma membrane.

1) (2.01) Identify domain and range. Then determine whether the relation is a function or not. Explain your reasoning.

x y
2 2
-1 4
0 6
3 2

Is this relation a function? Why or why not?

Answers

Domain {-1,0,2,3} Range {2,4,6}


Function because every domain has one set of range.

Calculus, derivatives. Please help! Show work, if possible. Thanks! :)

Answers

[tex]y = x + \pi[/tex]

Step-by-step explanation:

We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that

[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]

and

[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]

To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as

[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]

Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is

[tex]y = x + \pi[/tex]

The graph of the two functions is shown above.

How tall is House B?

Answers

Answer:

25 maybe I don't now ok because is house a is 24 maybe house b will be 25

Evaluate.

3⋅2^3+5^2−18÷6




25

31

40

46

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's evaluate :

[tex]3(2) {}^{ 3} + {5}^{2} - (18 \div 6)[/tex]

[tex](3 \times 8) + (25) - (3)[/tex]

[tex]24 + 25 - 3[/tex]

[tex]49 - 3[/tex]

[tex]46[/tex]

Answer:

[tex]46[/tex]

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

What is the range?can someone please help I forgot to study

Answers

Answer

The range is the difference between the largest and smallest numbers.

Step-by-step explanation:

The range is the difference between the largest and smallest numbers.

HELPPPP!!!!! PLEASEEE IM BEING TIMED !!!!!!!!!!!

Answers

Answer:

[tex]x=89[/tex]

Step-by-step explanation:

We can plug into the formula for the mean to get [tex](87+73+84+82+x)/5=83[/tex].

We can combine like terms on the left side to get [tex](326+x)/5=83[/tex].

We can multiply by [tex]5[/tex] on both sides to get [tex]326+x=415[/tex].

We can finally subtract [tex]326[/tex] from both sides to get [tex]x=89[/tex].

So, the answer is [tex]\boxed{x=89}[/tex] and we're done!

X(x-9)(x+4)/6x^3( x+4)(x-9) simplified

Answers

Answer: 1/6x^2

Step-by-step explanation: Cancel out like terms like (x-9) and (x+4), then x.

[tex]\sqrt{1.69}[/tex]

Answers

1.3 Is that the answer you looking for

What is the solution to the following system of
equations?
-2x + 8y = - 14
- 4x + y = - 13

Answers

Step:just like this
Y-1
X3
Hahahaha hahaha hahaha wheushw whe

Please help!
I have 10 mins
-I’ll mark BRAINLIEST

Answers

Answer:

The terms are 1/2s, -4, 3/4s, 1/8, and s^3

The like terms are 1/2s and 3/4s

-4 and 1/8 could also technically be counted as like terms but I don't think they're looking for that

Step-by-step explanation:

a like term is a term that has the same variable value associated with the coefficient

Sam bowled three games with scores of 210, 185, and 190. He needs to have a four-game average of 205 to qualify for an elite bowling league. What score does he have to bowl on the fourth game to have the average of 205 that he needs?

Answers

Answer: 235

Step-by-step explanation:

Total score if he average 205 = 205 * 4 = 820

Score needed on 4th game = 820 - 210 -185 - 190 = 235

1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.​

Answers

19+80=180

99=180

180_99

81

Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?

Answers

Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

Answer:

Vitor has 18 trophies and Dean has 9.

Step-by-step explanation:

Round 607.5 to the nearest whole number.

Answers

608

607.5

.5 rounds up to 1

607+1=608

Answer:

608

Step-by-step explanation:

607.5 on a number line would be round 608

because 5 is rounded to 10  like that

Apply sam technique

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