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

Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder © Sphere​

Answers

Answer:

Cylinder

Step-by-step explanation:

A cone is a 3D triangle with a circular base, and a sphere is a 3D circle

Answer:

CYLIDER

Step-by-step explanation:

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT

what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​

Answers

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

SECONDARY MATH III // MODULE 5

MODELING WITH GEOMETRY - 5.5

Answers

Answer:

Its Spring break pls relax

Step-by-step explanation:

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

Help please !! need it adap

Answers

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]

Answers

Answer:

10.77 is correct answer

use x1=-5 ,x2=5

y1=4 y2=8

Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

Circumference=25.13 Area=50.27

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

Why is 10^5/10^4 equal to 10^11? Explain or show your thinking

Answers

Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation:

write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)

Answers

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].

solve for the missing side and round to the nearest tenths place

Answers

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower

Answers

I think is would be -3.4

What is the value of the expression below when a = 5?

​ 7a - 4

Answers

Answer:

31

Step-by-step explanation:

the answer above is correct 31

It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.

Answers

Answer:

Step-by-step explanation:

You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?

What units are used? (Feet, yards, meters, etc.)

area of yard = 75×55 = 4125 units²

amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.

The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

The width of the rectangular yard W = 55 feet

The length of the rectangular yard L = 75 feet

Let the perimeter of the rectangular yard be = P

And , the required fencing = Perimeter of rectangular yard

Perimeter of rectangular yard P = 2 ( L + W )

Substituting the values in the equation , we get;

Perimeter of rectangular yard P = 2 ( 55 + 75 )

Perimeter of rectangular yard P = 2 ( 130 )

Perimeter of rectangular yard P = 260 feet

Therefore , the value of P is 260 feet

Hence , the perimeter of yard is 260 feet

Learn more about perimeter of rectangle click :

brainly.com/question/15725265

#SPJ3

Complete question;

Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller

Work out
44.09
% of
78.76
cm

Answers

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER

Answers

Answer:

C (0,-2)

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.

As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading

Note that this equation is linear since all of the terms in  

x and y are of degree at most  1.

Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?

Answers

Answer:

2 1/3

Step-by-step explanation:

What’s the answer and work to this? Someone please tell me

Answers

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

PLSSSSSSSSSSS HELP ASAPPP​

Answers

Answer:

C

Step-by-step explanation:

400*.035 = 14 *2 = 28

250*.0325 = 8.125 *2 = 16.25

28 + 16.25  = 44.24

44.25+650 = 694.25

I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math

Answers

Answer:

8 quarts and 1 pint

Step-by-step explanation:

there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over

3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)


4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)

Answers

Answer:

FFFFFFFFFFFFFFFFFFFFFFFF

Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12

Answers

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

What is the volume of the figure? ​

Answers

The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed

I dont understand help me

Answers

Answer:

can you help me with chemistry? ill help with this if u help with my chemistry

Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)

Answers

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X

45

48

42

47

43

Mean=





Standard Deviation =

Answers

Answer:

huh what do you mean

Step-by-step explanation:

im really sorry

Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10

Answers

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.

From this, we can deduce that

hypotenuse=2*2=4, and

long= [tex]2\sqrt{3}[/tex]

Helppppp!!!!!!!!! Plz

Answers

The answer is 22. You would subtract 3.5 from both sides, then x=22z
Other Questions
HELP ASAP WILL GIVE BRAINLIEST how much money does the united states lose each year due to the non-local resource trade deficit?A.) 10 millionB.) 500 million C.) 1 billionD.) 300 billionE.) 1 trillion Each image could be described as blue. Which image would benefit from the specific description "navy blue"?I need the answer Now. PLS HELP!! 30 POINTS REWARD!PART A: How does the structure of each poem differ? The Dickinson poem has a predictable number of lines and syllables per line, while the Thomas poem is written in free verse.The Thomas poem uses rhyme while the Dickinson poem doesnt use any rhyme at all.The Dickinson poem uses repetition, while the Thomas poem doesnt use any repetition.The Thomas poem has several stanzas, while the Dickinson poem has just one stanza.PART B: What element of the poem is impacted by this difference in structure? the symbolismthe meaningthe themethe tone if u know what to do pls help HELP ASAP ILL MARK BRAINLIEST!! Adelia has decided to take an online course from home. She schedules her studies to fit her own needs, and all of her communication with peers and teacher is online. The amount of time she spends studying and doing coursework is entirely up to her. This type of learning is called _____ learning.A. codependentB. interdependentC. independentD. dependent Does anyone have the answer key to this? Need it ASAP! Help plssssssssss I dont wanna fail Calculate circumference of the circle. (use = 3.14) A pretzel stand at the state fair sells 3 pretzels for $6.75, 6 for $13.50,and 9 for $20.25. What is the most likely cost for 15 pretzels?A $27.00 B $33.75 C $40.50 D $46.75 1. Water is a scarce resource in the Middle East? Please solve them plsPls you dont need to show work hurry pls its due soon plsss I beg Ill give braniesy and likes Help ASAP Ill give brainliest how do u find this out or how do u think we could find this out practiquemos! Cmo se dicen estas cosas en espaol?1. They walked2. I brought3. You (inf.) drove4. Ana said5. We were (location)6. You all had (*got/received)7. You (for.) produced8. The boys translated9. I told10. The family brought Some African countries' economies are negatively influenced byA. an overdependence on a single resource B. an overdependence on a variety of natural resources C. the lack of natural resources D. an overdependence on industrial exports Find the equation for thefollowing parabola.Focus (3, 4)Directrix y = 2A. (x-3)2 = 2(y-2.5)B. (x-3)2 = 4(y-3)C. (x-3)2 = (y-4)D. (y-3)2 = 4(x-3) 1. find the surface area 3 ft 4 ft 10 ft Your answer Which version best uses a variety of sentence structures to enhance the flow and writing style of a story? O A. The seas were rough. The ship sailed on. The passengers in their bunks held on tightly. Some of them felt sick. They tried to hide it. They all yearned for the storm to end. But the waves went on crashing. The captain held the ship to a steady course.O B. Though the seas were rough, the ship sailed on, and the passengers in their bunks held on tightly. While some of them felt sick, they tried to hide it, and they all yearned for the storm to end. As the waves went on crashing, the captain steered the ship, and it sailed a steady course. O C Though the seas were rough, the ship sailed on. The passengers in their bunks held on tightly. Some of them felt sick, though they tried to hide it, and they all yearned for the storm to end. But the waves went on crashing, and the captain held the ship to a steady course,O D The seas were rough, yet the ship sailed on. The passengers in their bunks held on tightly, but some of them felt sick. They tried to hide it, and they all yearned for the storm to end. But the waves went on crashing, and the captain held the ship to a steady course. what are the reasons that you cannot see many stars in the city nights? Need help on this one too