Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?

Answers

Answer 1

Answer: C (A unimodal histogram, and the dotted line lands at 210)

Step-by-step explanation:

Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”


Related Questions

Anyone know the answer

Answers

Answer:

20 and 60

Step-by-step explanation:

If x=25, angle one is 20 degrees, and angel two is 60 degrees.

helppppppppppppppppp

Answers

Answer: x smaller than or equal to -4

Pedro is building a playground in the shape of a right triangle. The base of the triangle is 18 yards. The height of the right triangle is 2 1/3 yards. Find the area of the triangular playground.

Answers

Answer:

area of right triangle = ab/2

                     base = 18yards

                    height = 2 1/3 = 7/3yards

area =  (18 * 7/3) /2 = 42 /2 = 21[tex]yards^{2}[/tex]

hope this answer helps you.....

Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but is twice as tall. How is the volume affected by the change in the dimensions? (PLEASE HELP!)

Answers

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

Quadrilateral ABCD is translated 2 units to the left and 5 units down to create quadrilateral A'B'C'D'.
D
6.1
1.4
А A
2.2
4.5
B
D
36
А?
36°
В?

Answers

Answer: 14.2

Step-by-step explanation: Khan Academy

2) If you feel you have a "fixed mindset" right now, what would it
take for you to change it to a 'growth mindset"?
Please help

Answers

Answer:

Watch tv or play a game that's would help

Step-by-step explanation:

Answer:

Multiple steps and time.

Step-by-step explanation:

Looking at things in a positive way, even if it is a small daily thing will gradually help create a growth mindset.

Find the common difference of the arithmetic sequence -2, -4, -6, ...

Answers

Answer:

-8

in this the arthmatic difference is table of 2

Answer:

the common d/f is that -2>-4>-6

Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)

Answers

Answer:

A.[tex]x(x+12) -7(x+12)[/tex]

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

[tex]x^2 +5x - 84[/tex]

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

[tex]x^2 +12x - 7x - 84[/tex]

Now take out the common factors,

[tex]x(x+12) -7(x+12)[/tex]

Thus, the correct option is choice (A).

Solve 2(1/8)^1-2x = 16^x+6

Answers

Answer:

You cannot solve this, but you can try to simplify it: 16^x = −2x + −23/4

Solve the system of equation

Answers

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps

A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)

Answers

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

We have,

To write an exponential growth function to find the monthly growth rate, use the following formula:

[tex]P(t) = P_0 (1 + r)^t[/tex]

Where:

P(t) is the population at time t

P₀ is the initial population (350 in this case)

r is the growth rate per time period (monthly rate in this case)

t is the time in the corresponding time period

To find the monthly growth rate.

[tex]= (1 + r)^{1/12} - 1[/tex]

= [tex](1 + 0.03)^{1/12} - 1[/tex]

= 0.02493

= 2.493 %

Therefore,

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

Learn more about exponential growth functions here:

https://brainly.com/question/14355665

#SPJ4

Determine the value of w and x in circle M below.
H
w
106
A
Y
M
W=

Answers

Answer:

x= 32

w=74

Step-by-step explanation:

my explanation is in the picture

The value of w and x in circle M below  mathematically given as

w = 74 , x = 32

What is the value of w and x in circle M below?

Generally, the equation for the sum of angle of a triangle  is mathematically given as

w+x+c = 180

w+a = 106

w+x = 106

therefore,

106 +c = 180

c = 180-106

c = 74

w = 74

thus,

w+x+c = 180

74 + x + 74 = 180

x = 180 -148

x = 32

In conclusion, the value of w and x in circle M below is

w = 74 , x = 32

Read more about Angle

https://brainly.com/question/14362353

Brainliest goes to whoever explains the answer best pls help

Answers

Answer: (-2,9)

Step-by-step explanation: I did this not too long ago!

Solve equation [2] for the variable  y  

 [2]    y = 5x + 19

// Plug this in for variable  y  in equation [1]

  [1]    (5x+19) + 3x = 3

  [1]    8x = -16

Solve equation [1] for the variable  x

  [1]    8x = - 16

  [1]    x = - 2

By now we know this much :

   y = 5x+19

   x = -2

Use the  x  value to solve for  y

   y = 5(-2)+19 = 9

Answer (-2,9)

Find the area of the following figure: 12yd 8yd 4yd

Answers

Area of rectangle + Area of semi circle
12 * 4 + (22/7 * 4^2)/2
48 + 25.14
73.14 yard square

Find a equivalent for 24/100

Answers

Answer:

Step-by-step explanation:

Divide the numerator and denominator by 2.

[tex]\frac{24}{100}=\frac{12}{50}[/tex]

To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number

In a geometric sequence, the seventh term exceeds the fifth term by 1,920. Find the sum of
the first eleven terms if the common ratio of the sequence is 2. (81880)​

Answers

that's geometric sequence

T7 = T5*r^2 = T5+1920
r = 2, so

4*T5 = T5 + 1920
3T5 = 1920
T5 = 640

640 = 2^4 * 40

So, a=40 and the sequence is

40 80 160 320 640 1280 2560 5120 10240 20480 40960 ...

Note that 2560 = 640 + 1920


PLEASE DONT CLICK ON ANY LINKS ON HERE!! BE CAREFUL.
they lead to a virus pleade be careful.

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) Congruent

2) Vertical angles

3) 12x - 18 = 8x + 10

4) x = 7

Step-by-step explanation:

1)

Congruent because they're vertical angles.

2)

Vertical angles

3)

12x - 18 = 8x + 10

4)

12x - 18 = 8x + 10

12x - 8x = 10 + 18

4x = 28

x = 7

Does anyone know this, scammers keep answering it

Answers

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

Explain:In (4a)^3


•c

Answers

Answer:

Step-by-step explanation:

(4a)^3

4^3 a^3

=12a

The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.
Complete the following sentences based on the graph of the function.

1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.

Answers

Answer:

Review the graph to get answers:

1. The longer the sailboat is, the FASTER it can go. As it is a increasing function.

2. For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.

3. The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.

4. Top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.

The ratio is:

10/5 = 2 times

A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.

The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings

Answers

Answer:

Step-by-step explanation: C is the answer

write the equation of the line when m =
[tex] \frac{1}{3} [/tex]

Answers

The answer would be Y=1/3-5

ACED PLEASE HELP I NEED THIS FAST.

Answers

Answer:

The Answer is B

Hope that helps

how do you tell someone you like them if you get nervous around them?
57+ points if you answer the question

Answers

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

Here it is sry and thx!

Answers

Answer:

B

Step-by-step explanation:

hard to explain xD

Answer:

#2

Step-by-step explanation:

1x60+45=105

2x60+45=165

3x60+45=225

4x60+45=285

Professor Ivy has given the following weights to her grades: Weight of Area Homework 5% Projects 25% Quiz 25% Exams 45% Your friend has the following averages: Homework: 95 Projects: 89 Quizzes: 80 Exams: 86

Answers

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

Which representation shows a proportional relationship between x and y?

Answers

Answer:

is taht delta math

Step-by-step explanation:

of so than we r in this togethrr LOL

At a bookstore Mrs.McIntyre buys three books, one for each of her children. Each book cost the same amount. She also buys $1.50 magazine for herself. Her purchases have a total price of $13.47. The equation 3x+1.50=13.47 models this situation. Solve this equation for x. Explain what this value of x means in terms of the bookstore purchases.

Answers

Answer:

X= $3.99

Step-by-step explanation:

X is the value of each book

Answer:

x=3.99

Step-by-step explanation:

3x + 1.5= 13.47

3x + 1.5 - 1.5 = 13.47 - 1.5

3x = 11.97

3x/3 = 11.97/3

HOPE THIS HELPSSS

A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?

Answers

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle

the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3

Answers

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

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