It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.

Answers

Answer 1

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)


Related Questions

The percentage discount at a store is determined
using the table below.
Sale Discounts

Total Purchases
less than $50
$50 to $100
over $100
Discount
25%
30%
35%

Shamika bought 3 skirts that cost $25 each before the discount. What was her total after thediscount?
A. $45.00
B. $48.75
C. $52.50
D. $56.25

Answers

Answer:

The answer is C and please give me brainliet And a like!

Where the above parameters are given,  Shamika's total after the discount is $56.25. (Option D)

How to compute the above result

According to the table, if the total purchases are less than $50, the discount is 25%.

Shamika bought 3 skirts at $25 each, so her total purchase amount is 3 * $25 = $75.

Since $75 is less than $50, she qualifies for a 25% discount.

To calculate the discount, we multiply the total purchase amount by the discount rate  -

Discount = 25% of $75 = (25/100) * $75 = $18.75

To find her total after the discount, we subtract the discount from the total purchase amount  -

Total after discount = Total purchase amount - Discount

Total after discount = $75 - $18.75 = $56.25

Therefore, Shamika's total after the discount is $56.25. (Option D)

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r 2- 12r - 28 = 0[tex]r 2- 12r - 28 = 0[/tex]

Answers

Answer:

Step-by-step explanation:

r² - 12r - 28 = 0

r² - (14 - 2)r - 28 = 0

r² - 14r + 2r - 28 = 0

r ( r - 14 ) + 2 ( r - 14 ) = 0

( r - 14) ( r + 2 ) = 0

Either

r - 14 = 0

r = 14

or

r + 2 = 0

r = -2

therefore r = - 2 or 14

Susan has 2 five-dollar bills and 3 ten-dollar bills in her purse and 11 one-dollar bills in her pocket. How much money does she have in all

Answers

Answer:

51

Step-by-step explanation:

2*5=10

3*10=30

11*1=11

10+30+11

51

Answer:

She has $51

Step-by-step explanation:

You would do 10*3 = 30 since she has 3 tens. Then you would do 5*2 = 10 since she has 2 fives. And then you would do 11*1 = 11 since she has 11 ones. Then after you do that you would add all of them together so you would do 30+10+11 = $51

648/180 reduced? In fractions

Answers

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Daniel has read 40​% of a book. He has 30 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

75 Pages

Step-by-step explanation:

If he has 40% completed, it is 0.40 as a decimal.  We are trying to solve for the total number of pages in the book, or the whole.

part/whole = percent  

Let x = total number of pages in the book

30/x=0.40

x=30/0.40 = 75 pages in the book

Simplify and express
[tex]2 \sqrt{2} - \frac{3}{ \sqrt{2} } + \frac{4}{ \sqrt{8} } [/tex]
as a single surd​

Answers

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

Find the surface area and the volume, help me pretty please

Answers

Answer:

The surface area is 13.08 and the volume is 3.14

Step-by-step explanation:

What are the factors of 42 that have a sum of -17

Answers

Answer:

4x−5x−1

cos(x1−sin2(x)

Step-by-step explanation:

-14 and -3 are the two factors of 42 which has as a sum of -17

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

The number = 42

The number has both negative and positive factors

The factors of the number 42 are

The positive factors of 42 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42

The negative factors of 42 are -1 , -2 , -3 , -4 , -6 , -7 , -14 , -21 , -42

Product of -14 and -3 = -14 x -3

                                   = 42

Sum of -14 and -3 = ( -14 ) + ( -3 )

                             = -17

Hence , -14 and -3 are the two factors of 42 which has as a sum of -17

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I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Which fraction is the same as 4/8

Answers

Answer:

1/2 I believe is you answer darling

pls answer question :)

Answers

okay im not sure but maybe try to find a number that can be = to 18 and that might be y

Answer:

y= 6x + 18

Step-by-step explanation:

Here, the problem says every package has 6 tortillas. X, in this problem, represents the number of packages, so x time 6, the number of tortillas each has, plus 18, the number of tortillas she already had, is going to give you y, the total amount of tortilla Jacinta has.

SOMEONE PLS HELP ME , WILL MARK BRAINLIEST

Answers

Answer: 83.9 ft

Step-by-step explanation:

Tan40^degrees/1=x/100

x=100tan40^degrees

x=83.9 ft

Answer:

84 units

Step-by-step explanation:

Help!!!! please!!!! Ill give brainliest!!!

Answers

Answer:

a  

Step-by-step explanation:

hope this help u  and  hope u get a good grasde :}

Answer:

A) x < 9

Step-by-step explanation:

Here we have an open circle. Open circles are used for greater than signs (>) and less than signs (<).

Since we have an open circle, we can eliminate option C and option D.

Now, we look at the number line.

The point is at 9, and the line from the point is going towards the left (where the smaller numbers are.)

9 is greater than every number is going toward.

**Let x represent every number is going toward.**

Therefore, x < 9.

whowever answers any 2 I will follow them​

Answers

Answer:

1. x = 5 y = 6

2. x = 3 y =5

3. x = 2 y = 4

4. x = 2 y = 1/2

5. x = 6 y = 4

6. x = 2 y = 1

Step-by-step explanation:

i hope it helps u

What is the area of this problem below

Answers

Answer:

Therefore the area of the rectangle is

[tex]525in^{2} [/tex]

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

which of the following circles would have the same arc length of AB?​

Answers

Answer:

1st

length of arcAB=80/360×2π×4=16π/9

2nd

length of arcAB=45/360×2π×9=9π/4

3rd

length of arcAB=60/360×2π×6=2π

4th

length of arcAB=52/360×2π×7=13π/35

5th

length of arcAB=72°/360×2π×5=18π/25

6th

length of arcAB=90/360×2π×4=2π

your answer is 3rd and 6th.

Answer:

answer is the 3rd and the 6th hope it help

!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.

Answers

Answer:

3-2/6-3 =1/3

So the answer is 1/3'c'

the base of a prism are right triangles with leg lengths of 7 inches and 5 inches. the prism height is 12 inches. what is the volume of the prism?
105 cubic inches
203 cubic inches
210 cubic inches
420 cubic inches

Answers

The volume formula is length x width x height. 7x5x12=420 cubic inches

1. $350 at 5% for 4 years

Answers

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

plz help and yes im lazy.

Answers

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Answers

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
10
1
1
-10
5
30
9
-50

Answers

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

A school has an aquarium in each room. Each aquarium has 2 catfish for every 3 angelfish. How many fish are in an aquarium that has 6 catfish?

Answers

2 x ? = 6 catfish. (?=3) so multiply everything by 3......3 x 3 = 9 angelfish!!

Answer:

15

Step-by-step explanation:

2:3 ratio

if there is 2 catfish in a tank, in order to reach 6 catfish, we need 3 tanks

therefore, 3*3=9, 9 is the amount of angel fish

6+9=15

What is 5 11/10 simplified

Answers

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

A label is placed around the juice box below, not including the bases. Determine the surface area of the label

Answers

Answer:

3 In²

Step-by-step explanation:

Talking about surface area, the total area of an object is taken into consideration.

NB: Kindly check the attached picture for the diagram of the 3D object.

In this question, the surface area has to be determined and we will have to take into consideration all the area of the 3D object given in the question.

Surface Area = 6 × k².

Surface area = 6 × ( 1.8 × 1.8) cm².

Surface Area = 19.44 cm².

The next thing to do here is to convert the cm² to in². Therefore, 19.44 cm² ------>  x in².

19.44 × 0.155 in² = 3 in².

LT1 10th grade level

Answers

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) =  [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.

[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.

[tex]\overline{EF}[/tex] = 60 ft.

The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Find the sum:
(-10x^3 + 4x + 5) + (5x^2 - 2x)

O A. 10x^2 - 5x^2 + 2x
O B. -5x^2 + 5x^2 + 5
O C. -10x^3 + 5x + 5
D. -10x^3 + 5x^2 + 2x + 5

Answers

Answer:

its d..................

The sum of the expressions (-10x³ + 4x + 5) + (5x² - 2x) is -10x³ + 5x² + 2x + 5.

Thus, option (D) is correct.

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical statement.

To find the sum of the given expressions (-10x³ + 4x + 5) and (5x² - 2x).

Simply combine like terms:

(-10x³ + 4x + 5) + (5x² - 2x)

Combining the like terms, we have:

-10x³ + 5x² + (4x - 2x) + 5

Simplifying further, we get:

-10x³ + 5x² + 2x + 5

Therefore, the sum is: [tex]-10x^3 + 5x^2 + 2x + 5[/tex].

Thus, option (D) is correct.

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Factor completely x2 + 25. (1 point)
O (x + 5)(x + 5)
O (x + 5)(x - 5)
O (x - 5)(x - 5)
O Prime

Answers

Prime x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25
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