Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
a) Assuming the frequency of the trait is still 1 in 8, determine the mean and standard deviation of the number of frogs with the trait he should expect to find in his sample.
b) Verify that he can use a Normal model to approximate the distribution of the number of frogs with the trait.
c) He found the trait in 22 of his frogs. Do you think this proves that the trait has become more common?
Explain.

Answers

Answer 1

Answer:

Answered and explained below

Step-by-step explanation:

A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125

Sample size; n = 150

Formula for mean is;

μ = np

μ = 150 × 0.125

μ = 18.75

Formula for standard deviation is;

σ = √(np(1 - p))

σ = √(150 × 0.125(1 - 0.125))

σ = √16.40625

σ = 4.05

B) usually, when np ≥ 10 , we make use of normal distribution.

I'm this case, it is 18.75 which is greater than 10.

Thus,we can use a normal model to approximate the distribution.

C) we are told that he found the trait in 22 of the frogs.

Thus;

Proportion is now; 22/150 = 0.1467

This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.


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In a particular library, 18% of the books are children's books, 53% of the books are adult fiction, and the rest are adult nonfiction. You select 3 books at random; what is the probability That none of them are children's books?

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Answer:

3321 / 12500

Step-by-step explanation:

P (not child, not child, not child) = 82/100 × 81/100 × 80/100

PLS HELP ME ASAPPP!!!!​

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Answer:f is the answer

Step-by-step explanation:

A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?

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Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

ik this is alot but please help me. ​

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Answer:

help u in what please ask the question so we can anwser

Come I need answers

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67, 79, 81, 83, 83, 85, 87, 88, 89 then find the bumber in middle so answer is 83

Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST

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Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

solve for x
please help​

Answers

Answer:

x = 63.5°

Step-by-step explanation:

To find the value of x in the given right triangle, we would apply trigonometric function.

Reference angle = x

Side length Opposite to x = 17

Hypotenuse length = 19

Apply SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

a solution set always include....

Answers

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.

I give brainalist and points for an answer and explanation

Answers

Answer:

option D

Step-by-step explanation:

diameter of two small circle i.e 14cm

radius of two small circle =7cm

area of the small circle =πr²

area of the small circle=22/7 x7²

area of the small circle=154cm²

Radius of bigger circle =14cmArea of bigger circle=πr²

Area of bigger circle=22/7×14²

Area of bigger circle=616cm²

Area of shaded region =area of bigger circle -area of small circle +area of small circle

area of shaded region =616-154+154

area of shaded region=308cm²

i.e approximately 282.74cm²

Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?

A) 80 students
B) 320 students
C) 40 students
D) 160 students

("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")

Answers

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

Help pls will give BRAINLY

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Answer:

A. Mean

Step-by-step explanation:

Please tell me how and work!!!

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Answer:

2) false, no

3) true, yes

4) false, no

5) true, yes

If you have any other questions let me know

If you don’t know I don’t answer (NO LINKS ) please helllllppppp

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Answer:

Step-by-step explanation:

1. 6.96 in

2. 2.6 in

3. 8.1 in

4. 5.6 m

5. 1.89 cm

6. 6 in

I need help please.

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Answer:

B

Step-by-step explanation:

Put "Volume of a Cone" in your browser and all you have to do is type the height and radius.

someone please help thanks

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Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

The answer to this question is 1/2


Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)

Answers

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

Given: c=58, b=15, angle B=15 degrees a= ?

a. 60
b. 52
c. 56

Answers

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210

Answers

According to my calculations, the answer to your question is 200 marks.

Calculator
13 in
94
7.5 in.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest tenth.

Answers

Answer:

9165.0

Step-by-step explanation:

13*94*7.5 = 9165.0

Vicki has a 50 inch roll of ribbon. She used 3 feet of
the ribbon to wrap a gift. How many inches of ribbon does she
have left?

Answers

Answer:

Step-by-step explanation:

50in-3ft(12in/ft)

50in-36in

14in

3*12=36
50-36=14
14 inches, or 1 ft 2 inches


How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed?

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Answer:

16

Step-by-step explanation:

4 x 4

PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
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sas sss is the correct answer

A farmer sells 9.9 kilograms of pears and apples at the farmer's market. 3 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

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Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

6.4

Step-by-step explanation:

Not a clear question.  Is it 3.5 of this weight or, as it is written, 3 5?  If the first, then the answer is 6.4.  

(2x - 3)2 + 5(3 - 2x) - 14​

Answers

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

Find the surface area of a basketball with a diameter of 10 in.




400π in²

10π in²

100π in²

25π in²

Answers

Answer:

100 pie

Step-by-step explanation:

Find the surface area of a basketball with a diameter of 10 in.

100π in²

10π in²

400π in²

25π in²

The surface area of the basketball is 100π square inches.

The correct option is C.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The shape of the basketball is spherical.

The diameter of the basketball is 10 inches.

So, the radius of the basketball = 10/2 = 5 inches.

The surface area of the basketball,

= the surface area of the sphere.

= 4πr²

= 4π(5)²

= 2π25

= 4 x 25π

= 100π square inches.

Therefore, the surface area is 100π square inches.

To learn more about the surface area of the sphere;

https://brainly.com/question/14692728

#SPJ6

giving brainliest!!
pls help asap *easy*

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Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: [tex]\frac{4}{3} \pi r^{2}[/tex]

V = [tex]\frac{4}{3}[/tex] × (3.5)²π

V = [tex]\frac{4}{3}[/tex] × 12.25π

V ≈ 16.333 in³

Solve the proportion.
10
15
a
24
a = [?]

help please I will give you brainliest!!

Answers

Let's solve your equation step-by-step.

10/a=15/24

Step 1: Cross-multiply.


10/a=15/24


(10)*(24)=15*a


240=15a


Step 2: Flip the equation.


15a=240


Step 3: Divide both sides by 15.

15a / 15 = 240/15

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Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)

Answers

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

Select the correct answer from each drop-down menu.


A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.


In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________


1. ( independent, dependent )

2. ( changes by a constant factor per camper, Changes by a constant amount per camper )

.

Answers

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Which angle measure is a complement of an angle whose measure is 62 degrees?

A 96
B 118
C 16
D 28

Answers

A 96 dint trust me tho
I not sure that’s the answer I got thi

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

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