Juana is interested in estimating how long it takes students at her school to complete a maze she designed. She takes a random sample of 4 students and records how long it takes each of them to complete the maze. They work separately from each other, so Juana is willing to assume independence. Here are the data with summary
statistics:

Answers

Answer 1

The 95 percent confidence interval for the mean time (in seconds) it takes students to complete this maze is: 39±1.96(8.83/√4).

Confidence interval

Using this formula

Confidence interval=Mean ± z × Standard deviation√Sample size

Where:

xMean=39Z value for 95% CI=1.96Standard deviation=8.83Sample size=4

Let plug in the formula

Confidence interval=39±1.96×8.83/√4

Confidence interval=39±8.65

Inconclusion the 95 percent confidence interval for the mean time (in seconds) it takes students to complete this maze is: 39±1.96(8.83/√4).

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Related Questions

A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?

Answers

Answer:

4.5 gallons

Step-by-step explanation:

180/40=4.5

Paige had $80 to spend on clothes she bought two pair of pants that each cost $20 and one shirt that cost $15 which expression can be used to find how much money Paige had left after shopping 

Answers

Answer:

B 80-(2x23+15)

Step-by-step explanation:

first i did 80-46-15=19

so after shopping page had $19 dollars after shopping

If r = 6 units and h = 9 units, what is the volume of the cylinder shown above? Use 3.14 for .
A.
1,017.36 cubic units
B.
1,526.04 cubic units
C.
452.16 cubic units
D.
339.12 cubic units

Answers

Answer:

A)   1017.36 in³

Step-by-step explanation:

volume of a cylinder = [tex]\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

r = 6h = 9[tex]\pi =3.14[/tex]

Substituting given values in the equation:

[tex]\implies V = 3.14 \cdot 6^2 \cdot 9[/tex]

⇒ V = 1017.36 in³

It is -12. 5°c outside when the temp starts increasing by 2. 5°c each hour. How long will it take for the temp to reach-5°c

Answers

Answer:

3 hours

Step-by-step explanation:

12.5/2.5 = 5
then convert it to negative

15 points
Given that the area of a circle is 175πcm², what is
the circumference? Round the nearest hundredth
if necessary.

Answers

Answer:

area 175 rounded 46.89

Step-by-step explanation:

i did it

Kelly bought 1 gallon of milk. If she has 1 cup of milk every day, how many days will 1 gallon of milk last?

Answers

Answer: 16 days

Step-by-step explanation:

1 gal = 16 cups

if she's taking 1 cup a day it will last 16 days

what percent of 50 is 8

Answers

Answer:

8/50 × 100 = 16%

Answer:

Step-by-step explanation:

7. Amauri went to the winter festival. It cost her
$3 to get into the festival plus an additional
$1.25 for each booth she visited. If she spent a
total of $11.75, how many booths did she visit?

Answers

Answer:

she visited 7 booths

Step-by-step explanation:

the total was 11.75 and entry fee was 3 dollars so that leaves $8.75 to spend on booths, and since it's $1.25 per booth all you need to do is divide $8.75 by $1.25 which give you 7

Lily began a plan for this proof.

Since ∠1 and ∠2 are supplementary and ∠1 and ∠3 are supplementary, then m∠1+m∠2=180° and m∠1+m∠3=180°. If she can get m∠2 and m∠3 to both equal the same expression, she can use the transitive property of equality to set them equal to each other.

How can Lily get m∠2 and m∠3 to both equal the same expression?

Answers

Answer:

Step-by-step explanation:

Answer:

she can subtract m < 1 from both sides of m < 1 + m < 2 = 180* and m < 1 + m < 3 = 180*

Step-by-step explanation:

IMAGINE MATH!1

Please help!!

If one pound is equal to 453.592 grams, how many grams are there in one ounce?
1. 100
2. 10
3. 28.3495
4. 283.495

Answers

3. 28.3495 because 28 grams are in one once.

Central Angles
Inscribed Angles
Vertex is in the center
of the circle
Vertex is on the circle
2 x Angle = Arc
Angle = 1/2 Arc
Angle = Arc

Answers

Answer:

here is the answer

Step-by-step explanation:

Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc. ... Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords.

19,476 to the nearest ten thousand.

Answers

Answer:

19,000

Step-by-step explanation:

you don't round up because the next number is lower than 5

When you are rounding numbers you have to look at the digit they are looking for. In this case it is 10,000. The ten thousandth digit is 10,000. You look the number 1. Then you look at the number next door to the 1, which is number 9. “5 or more let it sore. 4 or less let it rest.” So the 9 makes the 1 round up. Your number is 2. Which means the answer is 20,000.

Answer: 20,000

Brian is 6 feet tall and casts a 4 foot shadow. At the same time, a nearby flag pole casts a 20 foot shadow.

How tall is the flag pole?

Answers

since brians shadow is 2/3rds his height

4 / 6 is 2 /3

20 / 30 is 2 / 3 too so flag pole must be 30 feet tall

The SUM of £1640 is invested in a banck the rate of intrest is 4. 5% annum. Claculate the simple intrest gained in 9 months

Answers

keeping in mind that a year has 12 months, thus 9 months are really 9/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 1640\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1640)(0.045)(\frac{3}{4})\implies I=55.35[/tex]

This is the 4th question

Answers

Answer:

a) There are 9 outcomes.

b) **i have attached the tree diagram**

c) 1/9

d) 1/9

Step-by-step explanation:

Both events (choosing a shirt and choosing pants) are not mutually exclusive (disjoint). Meaning that both events can occur at the same time.

a) For a sequence of two events in which the first event can occur m ways and the second event can occur n ways, the events together can occur a total of mn ways. So for this problem, you would do 3 • 3 which equals 9.

b) **tree diagram is attached**

c) Because there are two different events occurring (choosing a shirt and choosing pants) you need to multiply using the Multiplication Rule for Independent Events : P(A and B) = P(A) * P(B)

The probability of event A occurring (choosing a red shirt) is 1/3 and the probability of event B occurring (choosing brown pants) is also 1/3.

1/3 * 1/3 = 1/9

d) You would do the same thing here as part c.

The probability of event A occurring (choosing a blue shirt) is 1/3 and the probability of event B occurring (choosing blue pants) is again 1/3.

1/3 * 1/3 = 1/9

I hope this was helpful!! :)

pls help asapppppppp

Answers

Answer:

Step-by-step explanation:

Need help!
Find the exact volume of the cylinder.


Last one, for today!
Thanks! :)

Answers

[tex] \mathcal \pink{GIVEN:}[/tex]

Radius = 3 mHeight = 7 m

[tex] \mathcal \purple{TO \: FIND:}[/tex]

Volume = ?

[tex] \mathcal \blue{CALCULATION:}[/tex]

[tex] \qquad{ \sf \: volume = \pi{r}^{2}h }[/tex]

Where,

r is radiush is height

[tex] \qquad{ \tt\nrightarrow \: \frac{22}{7} \times {3}^{2} \times 7}[/tex]

[tex] \qquad{ \tt\nrightarrow \: \frac{22}{ \cancel7} \times {3}^{2} \times \cancel7}[/tex]

[tex] \qquad{ \tt\nrightarrow \: 22 \times {3}^{2} }[/tex]

[tex] \qquad{ \tt\nrightarrow \: 22 \times 9 }[/tex]

[tex] \qquad{ \boxed{ \tt\Rrightarrow \: 198\: {m}^{3} }}[/tex]

Henceforth, The volume of the cylinder is 198 m³...

what is the difference between (1,2) and (-3,5)

Answers

Answer:

the difference is (1,2) is in quadrant first and (-3,5) is in quadrant second

Three friends share some mangoes as follows;Fred receives 2 out of 5 the total, and the reminder is shared between yaw and kwame in the ratio 3:5. How many mangoes did kwame receive if yaw's share was 84 mangoes.​

Answers

Given that the ratio between Yaw and Kwame is 3:5

So, [tex]\rm{\blue{Yaw:Kwame} = 3:5 = 84:n}[/tex]

[tex]\rm{\red{n = 84 \times 5 \div 3} = 140 \: mangoes }[/tex]

Hence, the answer is [tex]\rm{\blue{140} \: mangoes}[/tex]

Find the area for number 5.

Answers

Answer:

The area of the pentagon is 249 square inches.

Step-by-step explanation:

Given, s = 12in; and a = 8.3, The formula to find the area of a pentagon with apothem is, Area of pentagon = 1/2 × perimeter × apothem. So, let us find the perimeter of the pentagon. Perimeter of the pentagon = 5 × side length.

perimeter = 5 x 12

= 60in.

Area = 1/2 × 60×8.3

= 249in².

Answer now I will give brainless
Pls answer both of the question

Answers

Answer:

A and D

Step-by-step explanation:

On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza.

If 540 people preferred pizza, how many people preferred hamburgers?

Answers

Answer:

810

Step-by-step explanation:

0.4x=0.6

x=1.5

540*1.5=810

The answer is 810.

Sheree drew this model of a tent. It is in the shape of a triangular prism with bases that are isoceles triangles. How many square inches of fabric are needed to make this model tent? A triangular prism. The triangular bases have a base of 8 inches, height of 3 inches, and side lengths of 5 inches. The height of the prism is 12 inches. 144 square inches 240 square inches 264 square inches 274 square inches.

Answers

Answer:

144

Step-by-step explanation:

I did it before

Answer:

a

Step-by-step explanation:

Find the average value of the function h(x, y) = x3y2 on the region bounded by f(x) = 2x 1, g(x) = −x2 − 2, x = 0, and x = 1

Answers

The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496.

How to find the average of a two-variable function

The average is defined by the following double integral equation:

[tex]\bar h = \frac{\int\limits^1_0 {\int\limits^{f(x)}_{g(x)} {x^{3}\cdot y^{2}} \, dy } \, dx }{(1-0)\cdot [y(1)-y(0)]}[/tex] (1)

If we know that [tex]g(x) = -x^{2}-2[/tex] and [tex]f(x) = 2\cdot x - 1[/tex], then the double average is:

[tex]h = \frac{\frac{1}{3} \int\limits^{1}_{0} {x^{3}\cdot [f(x)-g(x)]^{3}} \, dx }{(1-0)\cdot [f(1)-f(0)-g(1)+g(0)]}[/tex]

[tex]h = \frac{\frac{1}{3}\int\limits^{1}_{0} {x^{3}\cdot [2\cdot x-1+x^{2}+2]^{3}} \, dx }{1-1+3-2}[/tex]

[tex]h = \frac{1}{3}\int\limits^{1}_{0} {(2\cdot x^{2}-x+x^{3}+2\cdot x)^{3}} \, dx }[/tex]

The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496. [tex]\blacksquare[/tex]

Remarks

The statement presents mistakes and is poorly formatted:

Find the average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] on the region bounded by [tex]f(x) = 2\cdot x - 1[/tex], [tex]g(x) = -x^{2}-2[/tex], [tex]x = 0[/tex] and [tex]x = 1[/tex].

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The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction. True or false?

Answers

Answer:

The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction.True or false?

True

Step-by-step explanation:

#BrainliestBunch

Answer:

True is the answer.

Step-by-step explanation:

#Carryonlearning

help! HURRY! 20 points

Answers

I think u have to add the sides to find the perimeter
Perimeter for a trapezoid:
P=side1+side2+side3+side4
P=5.5+6+3.5+7.5
P=22.5 mi

Area for a trapezoid:
A=((base1+base2)*height)/2
A=((5.5+3.5)*5)/2
A=((9)*5)/2
A=(45)/2
A=22.5 mi^2

One year, the population of a city was 225,000. Several years later it was 236,250. Find the percent increase.

Answers

Based on the information given the percentage increase is 5%.

Percentage increase

Using this formula

Percentage increase=Population several years later-Population for year/Population for one year×100%

Let plug in the formula

Percentage increase=236,360-225,000/225,000×100

Percentage increase=5%

Inconclusion  the percentage increase is 5%.

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HELP ASAP WITH THIS ILL MARK BRAINLIEST FOR THE RIGHT ANSWER

Answers

Answer:

y−3=−13(x−1), which we can rearrange to get y=−13x+103.

Hope it helps!!!!!!!!brainliest pls!!!!!!!!!!

What is the slope of the line that passes through the points (5,8) and (11,5)? Write your answer in simplest form.​

Answers

Answer:

-1/2.

Step-by-step explanation:

slope of a line is (y2-y1)/(x2-x1).  Plug in points (5-8)/(11-5).  That gives -3/6.  Reduce the fraction by 2, so -1/2 is the answer.

just solve this cs i need help thx

Answers

Answer:

I believe its C if im wrong delete my question so other people have a chance

Step-by-step explanation:

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