An ecologist randomly samples 17 plants of a specific species and measures their heights. He finds that this sample has a mean of 13 cm and a standard deviation of 2 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: 0 Upper limit: 5 ? In a study of pain relievers, 100 people were given product A, and 72 experienced relief. In the same study, 25 people were given product B, and 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product (Choose one) performed better in the study. That is because 1% got relief with this product, whereas only 0% got relief with Product (Choose one) V x $ ? 圖8 國图回 U

Answers

Answer 1

The 90% confidence interval for the mean height of the species is 12.152cm -  13.848 cm

How to determine the confidence interval

The formula for calculating confidence interval is expressed as;

Confidence Interval = Sample Mean ± (Critical Value × Standard Error)

From the information given, we have that;

Sample mean =  13 cm standard deviation =  2 cm

To determine the standard error, we have;

Standard Error = 2 cm / √17

Find the square root and divide the values, we get;

Standard error = 0.486

Then, we have that;

Degree of freedom = 17 - 1 = 16

Critical value for df of 16 and 90% confidence level on the t-distribution table = 1. 746

Substitute the values, we have;

Confidence Interval = 13 cm ± (1.746× 0.486 cm)

Confidence interval = 12.152cm -  13.848 cm

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Related Questions

Find the value of f(-2)

Find the value of f(-2)

Answers

Answer:

y= -3 or just -3

Step-by-step explanation:

I WILL GIVE BRAINLIEST
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $24 each week. How much is my brother's allowance each week?

A. $4.00

B. $8.00

C. $16.00

D. $24.00

Answers

Answer:

C is the answer

Step-by-step explanation:

16+ (16/2)=16+8=24

Particle A has very little mass in comparison to Particle B. Both particles are in the same atom. Which is the best conclusion about Particles A and B?They have the same charge.They are located in the nucleus together.Particle A has a positive charge, and Particle B is neutral.Particle A orbits the nucleus, and Particle B is located in the nucleus.

Answers

Answer:

Particle A is a proton and particle B is a neutron

Step-by-step explanation:

PLS HURRYYYYYYYY
Which word describes the 5 in the expression 5n? A. coefficient B. exponent C. product D. sum

Answers

Answer:

Step-by-step explanation:

It would be either A or C

Most likely A Hope this helps ya <3

The word describing 5 in the given expression is a coefficient.

What is an expression?

An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.

Given that an expression 5n, we need determine the word used for number 5,

We know that, the numbers connected to a variable by multiplication is called a coefficient.

Here,

5n = 5 × n,

n = variable, 5 = coefficient.

Hence the word describing 5 in the given expression is a coefficient.

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need help on these 3 questions pls.

1. c^2 = 64 solve for c

2. 2b + 3 = 13 solve for b

3. 5x^2y^3 / 25xy^4 simplify​

Answers

Answeryes i cn answer

Step-by-step explanation:

i speakdh enlis

Answer:

1.C²= 64

√C² = √64

C = 8

2. 2b + 3 = 13

grouping liked terms

2b = 13 -3

2b = 10

dividing through by coefficient of b

b = 5

3.5x²y³/25xy⁴

= x/5y

in a large population, 66 % of the people have been vaccinated. if 3 people are randomly selected, what is the probability that at least one of them has been vaccinated? give your answer as a decimal (to at least 3 places) or fraction.

Answers

The probability that at least one of the three randomly selected people has been vaccinated is approximately  961/1000 as a fraction.

Percent of vaccinated people = 66%

Number of people randomly selected = 3

The probability that a person has been vaccinated is

= 66%

=  0.66 as a decimal.

The probability that at least one of three people has been vaccinated

= Total probability - Probability that none of them have been vaccinated

Total probability = 1

The probability that the first person selected has not been vaccinated is

1 - 0.66 = 0.34.

The probability that the second person selected has not been vaccinated is also 0.34.

And the same goes for the third person.

So, the probability that none of the three people have been vaccinated is,

= 0.34 x 0.34 x 0.34

= 0.039304

The probability that at least one of the three people has been vaccinated is ,

= 1 - 0.039304

= 0.960696

= 0.961

= 961/1000 as a fraction.

Therefore, the probability that at least one of the three people has been vaccinated is approximately  961/1000 as a fraction.

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M is directly proportional to r cubed when r = 4 m = 160 work out the value of r when m = 540

Answers

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

Josh earns 15% commission on every car that he sells. If he earns $1,200 from the sale of a car, what was the cost of the car?

Answers

Answer:

Step-by-step explanation:

80

I need to know the answer to the letter D!

I need to know the answer to the letter D!

Answers

Answer:

d>0

Step-by-step explanation:

brainliest please

math pls help 7th grade...​

math pls help 7th grade...

Answers

Answer:

sorry what that is

Step-by-step explanation:

Answer:

A designer sold 16 pairs of jeans for 53 each

she made 848

I need help rlly bad I have no idea what’s the answer plsss help me!!! Which side is the long side?

I need help rlly bad I have no idea whats the answer plsss help me!!! Which side is the long side?

Answers

Answer:

I'm not very good with angles but I think the answer is AB

is a decimal greater than a negative number?

Answers

Answer:

it depends...

Step-by-step explanation:

yes because if you are comparing a positive decimal to a negative number, it'll always be greater.

eg. 0.5 is greater than -1

She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?

Answers

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

|

|

|

| x

|

|

|

-------------

|

|

|

|

|

|

|

|

|

B

|

|

|

|

|

|

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|

|

|

|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.

Answers

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Select ALL the functions whose graphs include the point (16, 4).

Select ALL the functions whose graphs include the point (16, 4).

Answers

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:


Which of the following best describes ethics?






it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities






it is a set of values that define r

Answers

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Solve the following system of equations algebraically:
4x - 5y = 18
3x – 2y = 10

Solve the following system of equations algebraically:4x - 5y = 183x 2y = 10

Answers

Answer:

D

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

OKL and OMN are sectors of two
different circles.
The central angle of both sectors is 116°.
Work out the perimeter of the shaded
shape KLNM.
Give your answer to 2 d.p.
K
M
14 cm
116°
N
25 cm
Not drawn accurately

OKL and OMN are sectors of twodifferent circles.The central angle of both sectors is 116.Work out the

Answers

Therefore the answer For shaded shape KLNM is 100.96cm

Define center angle?

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. The size of a central angle is measured in degrees or radians and is equal to the arc length it intercepts on the circumference of the circle.

What is radian?

A unit of measurement for angles that is approximately 57.3°, or the angle covered in the centre of a circle by an arc that is the same length as the radius.

According to the title

Make r1=14cm , r2=25cm

then

116°/360° × zπ r1 +116°/360°×zπ2

=78.96cm

so

78.96cm+2(r2-r1)

=100.96cm

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please help answer this

please help answer this

Answers

Answer:

The second one, the third one, and the fifth one.

Step-by-step explanation:

Just look at the proportions and see id the function matches the proportion. Use "soh cah toa" or "sin is opposite/hypotenuse, cos is adjacent/hypotenuse, and tan is opposite/adjacent." Hope this helps.

State whether the following categorical propositions are of the form A, I, E, or O. Identify the subject class and the predicate class. (1) Some cats like turkey. (2) There are burglars coming in the window. (3) Everyone will be robbed.

Answers

Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Write a function g whose graph represents the indicated transformation of the graph of f. f(x)= | 4x+3| + 2 translated 2 units down is g (x)

Answers

Answer:

g(x) = |4x+3|

Step-by-step explanation:

g(x) = f(x) - 2

=|4x+3|

Teacher Materials
**Include in final promotion portfolio**
85°
25
90°
30
100°
25
Does the table show a proportional relationship? How do you know?

Answers

Answer:

Step-by-step explanation:

85

Jimmy purchased a package of jelly beans that contained 75 jellybeans. Out of the 75 jellybeans, 8 are pink, 17 are orange, 22 are red, 18 are green, 6 are white and 4 are black.Jimmy later noticed that the package of jellybeans contained a hole and two jellybeans dropped out of the package while he was walking home.

Answers

Find completion to question in comment section.

Answer:

D. One of the jellybeans that slipped out was orange and one was black

Step-by-step explanation:

We calculate the option with the highest probability of occurrence :

Total number of jellybean = 75

n(T) =75

n(Pink) = 8

n(red) = 22

n(Orange) = 17

n(green) = 8

n(white) = 6

n(black) = 4

We assume that the jelly beans must have slipped out one after the other.

Evaluating the options :

A.)

P(pink) and P(white)

8/75 * 6/74 = 0.0086486

B.)

P(green) and P(green)

8/75 * 7/74 = 0.0100900

C.)

P(white) and P(white)

6/75 * 5/74 = 0.0054054

D.)

P(orange) and P(black)

17/75 * 4/74 = 0.0122522

From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black

given four sets: a, b, c and d. each set has 13. the pair-wise intersections have 5 elements. the three-way intersections have 2 elements. there are 3 elements in the intersection of all sets. how many elements are there in total?

Answers

27 elements are there in total which are elements are there in total   13 components in each set.

what is probability ?

Whether this event happens or not has a chance of happening. Generally speaking, probability has many useful uses in games, business (to make forecasts based on probability), and this emerging branch of artificial intelligence.

calculation

Think about the following four sets: A, B, C, and D.

There are 13 components in each set.

The pair-wise interaction has five components. The three-way interaction has two components. In the intersection of all sets, there are 3 elements.

so

|A|= |B| =|C| =|D| = 13

Number of total elements =

=|A∪B∪C∪D|

=|A|+|B|+|C|+|D| - | A∩B| -|A∩C| - | A∩D|

= 4(13) - 6( 5) + 4(2) -3

= 52 - 30 + 8 -3

= 27  

27 elements are there in total which are elements are there in total   13 components in each set.

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The length of a rectangle if the length is twice the size of the width increased by one

Answers

Answer:

I'm not confident on this but:

L = 2(W + 1)

Hopefully this might help somewhat :]

L: Length

W: Width

l=2(wx1) i am not sure

Write the number with
scientific notation:
283 X 10^5

Answers

Answer:

2.83 x 10^5 = 283,000

Step-by-step explanation:

When you have the 10^5 multiplying to 2.83, you are moving the number further to the left of the decimal, making it larger every power of 10. if it was 4 powers of 10, the answer would be 28,300, 3 powers of 10 would be 2,830, etc.

PS. I think you forgot to add the decimal in 2.83, 283 x 10^5 is not written in Scientific Notation.

How many real zeros does this graph have?

How many real zeros does this graph have?

Answers

Answer:

3

Step-by-step explanation:

Real zeros are the times when the graph intercepts the x-axis or, in other words, when y = 0.

In this graph, the polynomial intercepts the horizontal (x) axis 3 times!

This means there are 3 real zeros.

what is the value of x in the following expression, given that y = 429: set x = round(y/8)
a. 53 b. 53.75 c. 54 d. this cannot.

Answers

Answer:

c ) 54

Step-by-step explanation:

y = 429 ( Given )

x = round( y / 8 )

  = round( 429 / 8 )

  = round( 53 . 625 )

  = 54

Segment AB, shown below, is divided into 5 equal parts. Point A is located at (-6,7), and point D is located at (-2,3). What are the coordinates of point F?

A. (2,-1)
B. (6,1)
C. (10.13)
D (10,-1)​

Segment AB, shown below, is divided into 5 equal parts. Point A is located at (-6,7), and point D is

Answers

Answer:

The answer is (2,-1)

Step-by-step explanation:

You have to see and look how A, D, and F were equal distances from each other. Also the X coordinate is increasing by 4 while the Y coordinate is decreasing by 4.

Answer:

The answer is A

Step-by-step explanation:

I took the test

PLEASE HELP ME

i’ll mark brainliest if you’re correct

PLEASE HELP MEill mark brainliest if youre correct

Answers

x=7
solution: 13x+9=14x+2
9-2=14x-13x
7=1x
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Evaluate the expression X - 2 + 2(4) - X when x =12 Which argument supports the idea that viruses are alive?Viruses have a cell membrane.Viruses contain unique genetic information.Viruses replicate in a host.Viruses do not produce proteins. For the system shown below determine in terms of P L. E and the geometry of the cross-section of the beam. a) The stress state at point A. (show stresses on sketch) b) The vertical deflection of point C. graph the system below and write its solution.y=1/4x-3-x+4y=-4Note that you can also answer "No solution" or "Infinitely many" solutions. 11 PLZ HELP ME 20 pints The boiling point of water is 100C. The boiling point of acetone is 56C. Which statement about distilling a mixtureof acetone and water is correct? (1 point)O Acetone remains in the in original container.O Water will vaporize from the mixture before acetone.O Acetone will vaporize from the mixture before water.Water is collected as it leaves the mixture. Prove that the sum of five consecutive natural numbers is even What would be your response as a world leader to help end the Israel and palestine conflict? What would be the best solution and how would you implement it? Ned's Tuna has the following production function: q=K3/4L/4, Where q is the number of tunas per hour, L is the number of workers and K is the number of boats. Suppose that w = $20/hour (PL) and r = $30/hour (PK). a. Find Ned's marginal product of labor (MPL). Does it exhibit diminishing marginal returns? b. Find Ned's marginal product of capital (MPK). Does it exhibit diminishing marginal returns? c. Find and draw an isocost function for C = $600/hour. d. Suppose that Ned is stuck with 2 boats in the short run. Find Ned's short-run total cost (TC) function (as a function of q). e. What is Ned's short-run average total cost (ATC) function, average variable cost (AVC) function, and marginal cost (MC) function? f. In the long-run Ned can change the number of boats (that is, both L and K are variable). Find and draw the expansion path for Ned's production function. g. Derive Ned's long-run total cost (LRTC) function (as a function of q). [Note: numbers need not be nice and rounded here]. h. What is Ned's long-run average cost (LRAC) function, and long-run marginal cost (LRMC) function? Two twins, Alice and Bob, are moving apart with constant velocity. Alice thinks Bob is moving and thus aging slower. Bob thinks Alice is moving and thus aging slower. Who is right . at rest, what is the relative contribution of the sympathetic and parasympathetic nervous system to the regulation of homeostasis? Assume the availability of an existing class, ICalculator, that models an integer arithmetic calculator and contains: an instance variable currentValue that stores the current int value of the calculator and can be accessed and modified by any subclass. methods add, sub, mul, and div Each method in ICalculator receives an int argument and applies its operation to currentValue and returns the new value of currentValue. So, if currentValue has the value 8 and sub(6) is invoked then currentValue ends up with the value 2, and 2 is returned. So, you are to write the definition of a subclass, ICalculator2, based on ICalculator. The class ICalculator2 has one additional method, negate, that receives no arguments. The effect of negate is to reverse the sign of currentValue. For example, if currentValue is zero, there is no change, if it is -22 then it becomes 22, if it is 100 it becomes -100. Furthermore negate returns the new value of currentValue. How many valence electrons is a full shell?. HURRY PLEASE!!! 100 POINTS. Prompt A) Analyze how TWO of the following factors contributed to the growth of the slave trade and/or slavery in the southern region of the country from 1800 to 1850. Federal government policy Cotton cultivation Southern cultural ideologies B) How did enslaved African Americans resist the institution of slavery? Read or look up for the book *Harriet Tubman*, and answer these questions below.*100 point* (It is better to read or get the book from the textbook ^Journeys 6^ and add textual evidence, but it is OK to just answer,too. But I recommend reading it and adding the textual evidence)1. Describe Harriet Tubman by 3 adjectives. What kind of actions help support you adjective choices? 2. What challenges did Harriet Tubman have to overcom3 to reach the free state to pennsylvania?3. Why were people willing to help the slaves? Considering risks, what did they have to gain?4. 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