Making Inferences from Multiple Samples

Solve each problem.

1 A biologist is studying diseases in chimpanzees. He takes three random samples of the same size

from a troop of 150 chimpanzees. One sample indicates that 3% of the chimpanzees are hairless,

another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.

How many hairless chimpanzees should the biologist expect to find in the troop?

Answers

Answer 1

Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the mean of each sample is as follows: 3%, 5% and 4%.

Hence, from all samples, the mean should be expected to be of:

(3% + 5% + 4%)/3 = 4%.

Out of 150 chimpanzees:

0.04 x 150 = 6.

The biologist should be expected to find 6 hairless chimpanzees in the troop.

More can be learned about proportions at https://brainly.com/question/24372153


Related Questions

All of the following are terms that represent Slope EXCEPT:

A. Constant Rate of Change

B. Run Over Rise

C. Slant Angle

D. Change in y divided by change in x

Answers

Slant angle letter c is the answer

Mocha is a client of bank one. He recieve his monthly bank statement for this personal current account from the bank question 1​

Answers

I don't know what you think about it

Please Help...

Which statement correctly represents the distance between points H and K?

Answers

Answer:

The first one is correct

Step-by-step explanation:

Mr. Lozano drove his truck 3,718 miles last summer. His truck uses 1 gallon of gas for every 26 miles driven. How many gallons of gas did Mr. Lozano use last summer

Answers

Answer:

143 Gallons

Step-by-step explanation:

miles/gallon per 26 miles= amount of gallons.

3718/26= 143 gallons of gas.

Question 2 of 15
Solve the equation for x.
7x= 14
Answer here

Answers

Answer:

X = 2

Step-by-step explanation:

7 X 2 = 14

HOPE THIS HELPS!

For another concert at the state fair, if you decide to charge $7 per ticket you will make and income of 12,000

Answers

1714 tickets sold i think

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer/Step-by-step explanation:

The exponential function modeling the number of lions ⇒  the years passed since 2010 is appointed as

[tex]f(x)=2^1^+^2^x[/tex]

Well, If you have an question like what is exponential function?

Let's me tell you:

exponential functions which are expressed as some constant raised to the power of the argument called exponential function.

You might be asking how to find which function can model the given question..

[tex]\mathrm{Since \;2012 - 2010 = 2 \;and\; the\; number \;of\;lions = 32 =2^5}[/tex]

[tex]\mathrm{and \;2013 -2010 = 3\; and\; the\; number \;of\; lions\; =128 = 2^7}[/tex]

Hence, there is increment of 2 exponent as 1 year was changed.

Now, we have:

[tex]f(x)=2^2^x^+^a[/tex]

[tex]\mathrm{Thus,\; it\; increases \;every \;year \;by\; a \;ratio \;of \;2^(^2^)}[/tex]

[tex]\mathrm{Thus, \;in \;2011, \;it \;was \;2^(^5^) - 2^(^2^) = 2^(^3^)\; lions}[/tex]

[tex]\mathrm{In\; 2010, it\; was 2^(^3^) - 2^(^2^) = 2}[/tex]

Since Lions were introduced in the park in 2010, using f(x), it means;

[tex]x = 0, f(x) = 2[/tex]

[tex]x = 1, f(x) = 2^(^3^)[/tex]

[tex]x = 2, f(x) = 2^(^5^)[/tex]

[tex]x = 3, f(x) = 2^(^7^)[/tex]

Let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have:

[tex]2 = a * b^(^0^)[/tex]

Thus,a = 2

At x = 1, y = 2^3

b = 8/2

b = 4

So the exponential equation is;

[tex]y = 2(4^(^x^))[/tex]

~Learn with Lenvy~

Pleaseeeeee help i need these answers really soon
number 1:
number 2:

Answers

The area for both polygons are:

Green polygon: 8

Red polyogon: 9

hope this helps

Two​ trains, Train A and Train​ B, weigh a total of 479 tons. Train A is heavier than Train B. The difference of their weights is 357 tons. What is the weight of each​ train?

Answers

Answer: Train A weighs 418 tons and Train B weighs 61 tons

Step-by-step explanation:

Let a represent the weight of Train A, and let b represent the weight of Train B.

We can set up a system of equations.

a + b = 479

a - b = 357 ( as we are given that a is heavier than b )

We can add the two equations:

a + b + a - b = 479 + 357

Combine like terms (which cancels out the b):

2a = 836

Divide both sides by 2:

a = 418

We can plug this back into the first equation:

418 + b = 479

Subtract 418 from both sides:

b = 61

A+B= 479tons
Thus representing the total weight of train A and B
Let make train A =A and train B = B
It says the difference of their weight is 357tons
I am going to devise equations out of it

357+A=B……equation 1
A+B=479……..equation 2

Since B is the subject of equation 1 already we would put in into equation 2

A+(357+A)=479
2A=479-357. 2A=122

Divide both side by 2
2A/2=122/2
A=61

Train As weight is 61
And we Can find Train Bs weight as

357+61=B

B=418

please helpppppppp meeeeeeeeeeeeeeee

Answers

Answer: u can use a website called mixed numbers fractions it’s easy <3

1. 11/2

1. 11/22. - 1/2

1. 11/22. - 1/23. - 47/20

Hope this helps!

PLEASE HELLLLLLLLLLLLLLLLLLLLLP Match the Translating Words with the Operations

Question 18 options:

Of


Quotient


Divided By


Deduct


Is


Product


Sum


Difference

1.
Addition

2.
Subtraction

3.
Multiplication

4.
Division

5.
Equals

Answers

Answer:

1. Addition

sum

2. Subtraction

difference

deduct

3. Multiplication

product

of (I'm not sure about this one, though)

4. Division

divided by

quotient

5. Equals

is

Step-by-step explanation:

The graph of the function y = sin (0.25x) is attached.

What are mathematical operations?The four basic mathematical operations : addition, subtraction, multiplication, and division.The symbols of basic math operations are -

       (+) for addition (−) for subtraction (×) for multiplication (÷) for division.

Given are the mathematical operations.

We can match the operations as -

Addition : SumSubtraction : Difference and deductMultiplication : Product and OfDivision : Divided by and quotient

Therefore, the mathematical operations are matched with their equivalent names.

To solve more questions on mathematical operations, visit the link below -

https://brainly.com/question/20628271

#SPJ2

Find the ‘exact’ perimeter of each triangle

Answers

Answer:

[tex]\huge\boxed{\sf 8 + 4\sqrt{2} \ cm }[/tex]

Step-by-step explanation:

[tex]\theta = 45 \textdegree[/tex]

opposite = 4 cm

Using tan first to find the adjacent side:

[tex]\displaystyle tan \theta = \frac{opposite}{adjacent} \\\\tan \ 45 = \frac{4}{adjacent}\\\\1 = \frac{4}{adjacent} \\\\Multiply \ 'adjacent' \ to \ both \ sides\\\\adjacent = 4 \ cm[/tex]

Finding Hypotenuse now by using Pythagorean theorem:

[tex](Hyp)^2 = (base)^2 + (perp)^2[/tex]

where base = 4, hyp = 4

(Hyp)² = (4)² + (4)²

(Hyp)² = 16 + 16

(Hyp)² = 32

Take sqrt on both sides

[tex]Hyp = 4\sqrt{2}[/tex] cm

Exact perimeter of triangle:

= base + perpendicular + hypotenuse

= 4 + 4 + 4√2

= [tex]8 + 4\sqrt{2}[/tex] cm

[tex]\rule[225]{225}{2}[/tex]

Tickets for the school play cost $4 for students and $7 for adults. For one performance,
146 tickets were sold for $779. How many tickets were for adults and how many were
for students?
81 students and 65 adults
70 students and 77 adults
80 students and 66 adults
65 students and 81 adults

Answers

Answer: D

Step-by-step explanation:

Total tickets sold is $779

Calculate the options to get the right answer.

Option D is correct at

81 students at $4 = 324

65 adults at $7= 455

Total is $ 779

please. need help with this problem​

Answers

Answer:

4/5

Step-by-step explanation:

this will not need the bot

I think of a number, multiply it by 3, and add 4, i get 22

Answers

the answer is 5.

6x3= 18
18+4= 22

) 6 students are going on a field trip and 35 students are staying at school. What is the ratio of
the number of students who are going on the field trip to the total number of students?

Answers

Answer:

6:41

Step-by-step explanation:

We know that the number of students going on the field trip is 6.

To find the total number of students, add the number of students going on the trip and the number of students staying at the school: 6 + 35 = 41

So the ratio of the number of students going on the field trip to the total number of students is 6:41

Austin paid $18.25 for 1.2kg of pecans. What would it cost for 0.45kg of pecans?

Answers

Answer:

$6.84

Step-by-step explanation:

18.25/1.2 = x/0.45

Draw a rectangle that is 4 squares long and
1
--
2 of a square wide.
Then add up the partial squares to find the area.
Multiply to check your answer

Answers

Please include picture. thank you

Which angles are supplementary?

Answers

Answer:

∡CFE and ∡BFD, ∡AFB and ∡BFD

Step-by-step explanation:

It is because supplementary angle is straight lines which add ups to 180°

Therefore, ∡CFE and ∡BFD, ∡AFB and ∡BFD are supplementary angles

Find the slope between the points (1,3) and (9,27)

Answers

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = [tex]\frac{27-3}{9-1}[/tex] = [tex]\frac{24}{8}[/tex] = 3

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf\:Slope=3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{27-3}{9-1}[/tex]

[tex]\displaystyle\frac{24}{8}[/tex]

The fraction can be reduced:

[tex]\displaystyle\frac{3}{1}[/tex]

which is the same as

[tex]3[/tex]

Hope you could understand everything.

#CarryOnLearning

What are whole numbers? ...
What does a century represent? ...
What is 16 minus 8? ...
How many sides does a hexagon have? ...
What is 91 divided by 7? ...

Answers

Step-by-step explanation:

whole numbers are the numbers Start from 0.

century means hundred

16-8=8

hexagon has six sides

91÷7=13

The graph of y = 3 is shown on the grid.
Which ordered pair is in the solution set of y2 3?
(7. - 6)
(3,0)
(0 - 3)
(7,6)

Answers

It should be choice D
Good luck

HELP ASAP Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.

Answers

Answer:

A

Step-by-step explanation:

I say b bc of the two down and one over

Choose the kinds of symmetry the following figure has: point, line, plane, or none.



none
plane
point
line

Answers

Answer: Choice A) None

Explanation:

Can we rotate the figure some angle smaller than 360 degrees and have it match up with its original image? The answer to that is "no". Any such rotation will change the image to something else. Therefore, this figure does not have any point symmetry (aka rotational symmetry).

Can we reflect one half of the figure over some line to get the other half? The answer here is also "no". The diagram has no reflectional symmetry either.

Plane symmetry is ruled out because that only applies to 3D settings.

A smartphone cost 220%, the sales tax is 4% .what is the total cost including tax

Answers

Answer:

88$

Step-by-step explanation:

help meee pleaseeeeeee ​

Answers

Answer:

9

Step-by-step explanation:

we can use the pythagorean theorem so (15)²= (12)² + (x)²--> (15)²-(12)²=x²

take the square root of both sides ans x=9

note! this is a special type of triangle called a 3-4-5 special right triangle because all the sides when divided by a factor of 3 will simplify down to the sides 3-4-5 (only true when the hypotheneuse is the 5 because it's the longest side of a triangle)

The formula for area of a circle is pi*r^2. If the radius is 20, what is the area?

Answers

Answer:

area of circle = πr^2

just substitute 20 for r:

π(20)^2

= 400π

If the question ask for an answer in terms of pi, this is your answer. If it doesn't, simplify it further to get:

= 1256.637061 (m/cm)^2

You can round this however you like, but I would say either 3 significant figures, either 1 or 2 decimal places.

What is 167,003 X 409,834=

What is the answer?

Answers

Answer:

68,443,507,502

Step-by-step explanation:

Answer:

68,443,507,502

Step-by-step explanation:

Hope this helps

Find the area of the shaded polygons.

Answers

Answer:

9 sq.un.

Step-by-step explanation:

The polygon it is surrounded by an imaginary square of 4 X 4 units per side

To their area we subtract the areas of the imaginary triangles in white.

Results the area of the shaded polygon:

[tex]A=4^{2} -\frac{(2)(3)}{2} -2(\frac{(1)(3)}{2} )-\frac{(1)(2)}{2} =16-3-3-1=16-7=9sq.un.[/tex]

Hope this helps

Answer:

9 sq. un

Step-by-step explanation:

Which of these expressions are rational numbers, and which are rational numbers?

Select either rational or irrational for each expression

Answers

1. Irrational
2. Rational
3. Rational
4. Irrational
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