What is the length of s=8.57, n=300, confidence level=95%

Answers

Answer 1

Answer:

The length of the interval is of 1.8672.

Step-by-step explanation:

Length of a confidence interval:

Margin of error multiplied by 2.

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

s=8.57, n=300

[tex]\sigma = 8.25, n = 300[/tex]

Margin of error:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]

[tex]M = 0.9336[/tex]

Length:

2*0.9336 = 1.8672

The length of the interval is of 1.8672.


Related Questions

Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player​ have?

Answers

Answer:

R= 1203 P= 1478

Step-by-step explanation:

2681- 275= 2406/2 = 1203+ 275= 1478

tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock​

Answers

Answer:

drooped $1

Step-by-step explanation:

first,dropped $5=(-$5)

second,rosary $3=(-$3)

third,rose $7=(+$7)

solution:

(-$5)+(-$3)+(+$7)

=-$5-$3+$7

=-$8+$7

=-$1

the net change in price of the stock was drooped $1 .

The required net change in the price of the stock is -$1.

Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock​

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1


Thus, the required net change in the price of the stock is -$1.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Explain and help please

Answers

Answer:

Step-by-step explanation:

The Bible uses this same value for pi. Just an irrelevant fact to add to your list of such facts.

pi is about 3

r = 3

C = 2 pi * r

C = 2 * 3 * 3

C = 18

Answer:

The circumference of circle is 18.

Step-by-step explanation:

Given :-

Radius of circle is 3.Value of π is also 3.

To Find :-

Circumference of circle

Formula Used :-

Circumference of circle = 2 π r

Where,

r, is the radius of circle.

Solution :-

Using Formula

Circumference of circle = 2 π r

substitute the values

Circumference of circle = 2 × 3 × 3

multiply the values

Circumference of circle = 18

Hence, the circumference of circle is 18.

Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?

Answers

The value of a multiple is 7 , 11 or 14

Hurry plz I got 7 mins

Answers

Answer:

5

Step-by-step explanation:

90 ÷ 18 = 5 days. Hope this helps! :)

Answer:

15

Step-by-step explanation:

15=90/60=1.5 as whole is 15

0.088 is more than 0.78, right?​

Answers

No 0.78 is more than 0.088

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

No.

[tex]0.088 < 0.78[/tex]

»»————- ★ ————-««  

Here’s why:  

0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths.  0.088 is less than 0.78, not greater than.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

1 N 3 4 5 6 7 00 9 10 The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in m 0.05 miles per hour 0.2 miles per hour 0.5 miles per hour O 2 miles per hour​

Answers

Step-by-step explanation:

1 mile=5280 feet

0.5 mile=2640 feet.

The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.

If the answer is correct plz mark me as brainliest.

Simplify the expression:
w+3w

Answers

Answer:

4w

Step-by-step explanation:

1w+3w=4w

Answer:

w+ 3w = 4 w. helpful answer

Disolvemos 45 g de amoniaco en 500 g de
agua. Calcula el porcentaje en masa de la
disolución

Answers

it would be photosynthesis because of the flowers

Which point is located on the x-axis of a coordinate grid?

A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)

Answers

For this question the answer is c

Answer:

I believe it is B

Step-by-step explanation:

Remember - x,y. The 1 was found on the x-axis.

solve the following equations 2p + 3p + 8 - 4 = 54

Answers

Answer: hope this helps :)

Please hurry I’ll give brainliest

Answers

What did it end up being plz answer

Solve 4.85 ÷ 5 = ___. 0.94 0.95 0.96 0.97

Answers

Answer:

4.85 ÷ 5 = 0.97

hope this helps

For extra fun, groups of student in a class are tasked to create algebraic expression to satisfy the measures of the angles of their triangular picture frame project. If the measure of the angles are as follows:m∠A = 5x - 3, m∠C = 2x + 5, m∠E = 3x - 2, arrange the sides of the frame in increasing order.

don't spam!! ​

Answers

Answer:

Step-by-step explanation:

Sum of all angles of the triangle = 180

∠A + ∠C + ∠E = 180

5x - 3 + 2x +5 + 3x -2 = 180

Combine like terms

5x + 2x + 3x - 3 + 5 - 2 = 180

            10x + 0 = 180

10x = 180

Divide both sides by 10

x = 180/10

x = 18

∠A = 5x - 3 = 5*18 - 3 = 90 - 3 = 87

∠C = 2x +5 = 2*18 + 5 = 36 + 5 = 41

∠E = 3x - 2 = 3*18 - 2  = 54 - 2 = 52

Side opposite to smallest angle is small

∠C is smallest. So, AE is smallest side

Next smallest is ∠E. So, AC is the next side

AE < AC < CE

PLEASE HELPPP
Which one is equivalent??​

Answers

Answer:

the answer is A AND WE LOVE BILLIE

Step-by-step explanation:

Leon tried to solve an equation step by step.

Answers

Step-by-step explanation:

in step 2 leon made mistake

OPTION B step 2

[tex] \frac{1}{2} w = 30[/tex]

[tex]w = 30 \times 2[/tex]

[tex]w = 60[/tex]

In the diagram of XYZ, which term describes point ?
х
z
w
Y
O A. Circumcenter
O B. Incenter
O C. Orthocenter
D. Centroid

Answers

The answer should be B. Incenter

The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?​

Answers

Answer:

9 and 16

Step-by-step explanation:

let the two numbers are X and Y

X+Y=24

X^2-Y^2=144

solve simultaneously

» Choose ALL the lines of symmetry for the shape.

Answers

Answer:

the first one , one below it and the one beside the one below it

Step-by-step explanation:

Answer:

sorry I don't Know

Find the two square roots of 121 (write answer using the word “and” to separate them)

Answers

Answer:

11 and 11

Step-by-step explanation:

brainliest^:)

Answer:

11  i do not think there is a 2nd one unless 1

Step-by-step explanation:

The only one I could think of because  It is the positive solution of the equation x to the 2nd power = 121. The number 121 is a perfect square. 1.

4(12+3) distributive property

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{4(12 + 3)}[/tex]

[tex]\large\textsf{= 4(12) + 4(3)}[/tex]

[tex]\large\textsf{4(12) = \bf 48}[/tex]

[tex]\large\textsf{4(3) = \bf 12}[/tex]

[tex]\large\textsf{= 48 + 12}[/tex]

[tex]\large\textsf{= \bf 60}[/tex]

[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]

[tex]\large\text{OR} \downarrow[/tex]

[tex]\large\textsf{4(12 + 3)}[/tex]

[tex]\large\textsf{12 + 3 = \bf 15}[/tex]

[tex]\large\textsf{= 4(15)}[/tex]

[tex]\large\textsf{= \bf 60}[/tex]

[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]

[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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

[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]

=> Property used = distributive property.

True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9?

Answers

Answer:

false and 8 hours and 55 min

Step-by-step explanation:

Answer:

false. 8.9 in the scenario would be 9 hours and 30 minutes

Step-by-step explanation:

using decimals is not an accurate way to measure time.

if it was used, 8.9 would be 8 hours and 90 minutes. However, there are only 60 minutes in an hour, so 8.9 would translate to 9 hours and 30 minutes.

I’ll give brainliest

Answers

Answer:

1.5

Step-by-step explanation:

The constant of proportionality is the slope

m= (y2-y1)/(x2-x1)

Pick any two points

m = (12-6)/(8-4)

   = 6/4

   = 3/2

   = 1.5

m = (12-6)/(8-4)

→ 6/4

→ 3/2

→ 1.5

The required answer is 1.5.

Answer this pls. its all about the pythagorean theorem thanks​

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.

In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.

a) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 5(3) = 15

u² = h² + b² = 15 + 3² = 24

u = √24

b) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 4(2) = 8

h = √8

c) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 7(7) = 49

h = 7

u² = h² + b² = 7² + 7² = 98

u = √98

t² = h² + a² = 7² + 7²

t = √98

Find the measure of angle 6 if the measure of angle 4 is 65 degrees

Answers

It is 65° because angle 6 and angle 4 are alternate interior angles so they are the same

Answer:

Step-by-step explanation:

angle 4=angle 6(being alternate interior angle)

65 degree=angle 6

Can someone please help, ty!!
Will mark brainliest!

Answers

The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.

82 + 55 + x = 180

137 + x = 180

x = 43 degrees

Hope this helps!! :)

Answer:

Step-by-step explanation:

55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)

137+missing angle=180

missing angle=180-137

missing angle=43 degree

therefore ur answer is 43 degree.

The mean useful life of car batteries is 56 months. They have a standard deviation of 6. Assume the useful life of batteries is normally
distributed
a. Calculate the percent of batteries with a useful life of less than 38 months. (Round your answer to the nearest hundredth percent.)
b. Calculate the percent of batteries that will last longer than 68 months. (Round your answer to the nearest hundredth percent.)
a. Percent of batteries
%
b. Percent of batteries
%

Answers

Answer:a. 0.13% b. 2.28%

Step-by-step explanation:

Let x  denotes the useful life of batteries.

Given: [tex]\mu=56[/tex] months, [tex]\sigma=6[/tex]

Since X is normally distributed.

The probability that batteries with a useful life of less than 38 months

[tex]P(X<38)=P(\frac{X-\mu}{\sigma}<\frac{38-56}{6})\\\\=P(Z<-3) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<3) \\\\=1- 0.9987\\\\=0.0013[/tex]

The percent of batteries with a useful life of less than 38 months =0.13%

The probability that batteries will last longer than 68 months

[tex]P(X>68)=P(\frac{X-\mu}{\sigma}>\frac{68-56}{6})\\\\=P(Z>2) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<2)\\\\=1-0.9772=0.0228[/tex]

The percent of batteries that will last longer than 68 months =2.28%

A 15-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the number of hours since the candle was lit, and uppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f f(t)- [Preview] syntax error #
b. What is the domain of f relative to this contex? Enter your answer as an interval. # Preview, no answer given
c. What is the range of f relative to this context? Enter your answer as an interval *Preview no answer given
d. Solve f(t) 3.6 for it. 算 Preview
e. What does your solution in part (d) represent in this context? Select all that apply. The length of the candle (in inches) 3.6 hours after it was lit. How many bhous since the candle was lir wen i is36 mches loe OHow long it takes for the candle to burn out.

Answers

Answer:

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 \le t \le 12.5[/tex]

[tex]15 \ge f(t)t \ge 0[/tex]

The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches

Step-by-step explanation:

Given

[tex]a = 15[/tex] ---- candle length

[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)

Solving (a): The function, f(t)

This is calculated as:

[tex]f(t) = a + rt[/tex]

So, we have:

[tex]f(t) = 15 + -1.2 * t[/tex]

[tex]f(t) = 15 -1.2t[/tex]

Solving (b): The domain

The domain, in this case, represents time from 0 till the candle burns out.

Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 = 15 - 1.2t[/tex]

Collect like terms.

[tex]1.2t = 15[/tex]

Solve for t

[tex]t = 15/1,2[/tex]

[tex]t = 12.5[/tex]

Hence, the domain is: [tex]0 \le t \le 12.5[/tex]

Solving (c): The range

The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)

Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]

Solving (d): [tex]f(t) = 3.6[/tex]

Recall that:[tex]f(t) = 15 -1.2t[/tex]

Sp, we have

[tex]15 - 1.2t - 3.6[/tex]

Collect like terms

[tex]12t =15 -3.6[/tex]

[tex]12t =11.4[/tex]

Divide by 12

[tex]t =0.95[/tex]

The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?

Answers

Answer:

0.75 could be a 25% discount. 1.06 could be a sales tax.

Step-by-step explanation:

If  p  is the original price, then  1.06p  could be the amount after a 6% tax is include.  Then multiplying by  0.75  could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).

In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.

0.75(1.06p) = 1.06(0.75p)

simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?

Answers

Answer:

1/4

Step-by-step explanation:

Q=event of pulling a quarter (25 cents)

D=event of pulling a dime (10 cents)

N=event of pulling a nickel (5 cents)

P=event of pulling a penny (1 cent)

Simon needs to pull out the penny last, so that the first three coins add up to $0.40.

We assume the coins are wrapped so it is a random choice.

For the first coin, probability of NOT pulling a penny is 3/4,

similarly, for the second coin, probability of NOT pulling a penny is 2/3,

for the third coin, probability of NOT pulling a penny is 1/2,

For all this to happen, we use the multiplication rule

P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4

Other Questions
A different children's party cost 225.50 How many children were at the party? Math question final part thanks Jim ! :) the 20th century began as a period of optimism in the Western world what ended this optimism . A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. Product Hours/Unit Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Transform this model into standard form. PLEASEEE I NEED HELLPPPPThe graph below represents which system of inequalities?(Answer options at the bottom) Which of the following relations is a function?OA. (3, 4), (-3, 2), (6, 1), (-8, 2)OB. (6, 1), (-3, 4), (3, 1), (6,2)OC. (3, 4), (-3, 6), (3, 3), (-8, 2)OD. (3,0), (-3, 3), (6, 1), (-3,5) explain 2 laws / legislation that protect child abuse Which of the following accurately describes ionic bonds?O A. Atoms share one or more protons.O B. Atoms transfer one or more electrons.O C. Atoms share one or more electrons.O D. Atoms transfer one or more protons. Another 20 point question I need help with Discuss five processes for analyzing a qualitative study Cell Membrane Diseases Cell membrane diseases are life -threatening disorders that are in nature , and they usually work against proteins in our body that are key to ion channels and various receptors within the membrane . These diseases work by either disrupting the normal functions of the or by simply affecting the cell membrane . Many of these disorders contain other components as well. Some disorders involving trouble with the cell membrane1) Cystic fibrosis2) Alzheimer's disease3) Duchene Muscular Dystrophy4) Hyaline Membrane disease What is the relationship between historical questions and historicalarguments?A. Historical questions are used to turn historical arguments intoessays.B. Historical arguments connect multiple historical questions.C. Historical questions provide evidence to support historicalarguments.O D. Historical arguments are formed to answer historical questions.SUBNUT Which one is greater 5.3 or 5 1/3 Simplify the expression. 1(sec2xtan2x) You have to write a story for your english teacher. Your story must have this little: a wonderful experience Someone please help me thank what is the true meaning of life? A lock has a 3-number code made up of 16 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code? What is the complete factorization of x^4-17x^2+16? Fill in the blank in the following dialogue with the appropriate form of the verbboire below.--Qu'est-ce qu'il _?-Un verre de vin.A. boitB. buvezC. boiventoD. bois