The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.

Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?

Indicate all such statements.

A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.

Answers

Answer 1

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.


Related Questions

Which of the following is RS? pls answer asap thank you

Answers

Answer:

not sure

Step-by-step explanation:

but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)

Answer:

c

Step-by-step explanation:

PLEASE HELP! Translate the following phrase into a variable expression. Use the letter d to name the variable.

…10 times as deep..

A. d + 10

B. 10d

C. d/10

D. d - 1

Answers

Answer:

B. 10d

Step-by-step explanation:

10 times d = 10d

Hope its right

HELP ASAP PLEASE!!!!!

Answers

I think the answer is (6,-4)
i think it will be (4,-4)

What is the product?

Answers

Answer:

[tex]21x^{7}y^{11}[/tex]

Step-by-step explanation:

Remove the parentheses and take out the constansts.

[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]

Simplify 7 x 3 to 21.

[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]

Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]

[tex]21x^{2 + 5}y^{3+8}[/tex]

Simplify 2+5 to 7.

[tex]21x^{7}y^{3+8}[/tex]

Simplfiy 3 + 8 to 11.

[tex]21x^{7}y^{11}[/tex]

Coach Peters has 12 gallons of water to fill buckets for field day. If
each bucket needs of a gallon to fill, how many buckets can he fill?

Answers

Answer:

Step-by-step explanation:

D.36

because 12 divided by 1/3 is 36

The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?

Answers

Answer:

-8 < x< 3

Step-by-step explanation:

|2x+5| <11

there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)

2x+5 <11  and   2x+5 > -11

Subtract 5 from each side

2x+5-5 < 11-5 and    2x+5-5 > -11-5

2x< 6           and           2x>-16

Divide by 2

2x/2 <6/2        and       2x/2 >-16/2

x <3                  and             x>-8

-8 < x< 3

x is less than 3 and x is greater than -8

open circles and -8 and 3 and a line between

A potential difference of 35v is applied across the ends of a resistance of 3 ohms. How much current will flow in the resistance?

Answers

Answer:

11.67 Amperes

Step-by-step explanation:

From Ohm's law,

Ohm's law which state that a current

which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.

I= V/R

Where

I= Current

V= potential difference =35v

R= resistance = 3 ohms

Then substitute the values we have

I = 35 / 3

I= 11.67 Amperes

Hi can someone please help me with these questions.

Answers

Answer:x=3, x=18, x=29, x=30, x=27

Step-by-step explanation: for problems like the first one, the angles add up to 180 since it’s just a straight line.

The second problem is a right angle so 90°. It gives you 2x and 3x. Part + part =whole so you have 5x=90 then just solve.

Angles across from each other are the same so just 145=5x then solve.

Select all of the following that are equivalent to 1/10,000

A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2

Answers

D.( 10 )^-4

This is the answer of your question

hope it is helpful to you

The correct answer is D

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.


What is the volume of the drainage pipe?

Answers

Answer:

Step-by-step explanation:

25.12 inches around means diameter. So radius = 12.56 inches

   volume  [tex]= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3[/tex]

Answer:

The volume of the drained pipe is 32692.11 in ³.

Step-by-step explanation:

Given :-

Diameter of drainage pipe = 25.12 in

So, radius , r = 25.12 in = 12.56 in

Height of drainage pipe, h = 66 in.

To Find :-

Volume of the drainage pipe

Solution :-

We know that,

Volume of cylinder = π × r ² × h

substitute the values

Volume of pipe = 3.14 × (12.56 in)² × 66 in

simplify

Volume of pipe =3.14 ×157.7536 in² × 66in

multiplying ✖ the values

Volume of the pipe = 32,692.11 in ³

Therefore, the volume of the drained pipe is 32692.11 in ³.

what is 4.3347x10^4 in standard form?

Answers

Answer:

43347

Step-by-step explanation:

just move decimal to the right 4 times.

The diagram shows the locations of Cody and Reese after running
different directions from a tree. How far did Cody run?

Answers

Answer: 80yd

Step-by-step explanation:

Arrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5 + 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓

Answers

The increasing order of maximum number of extrema they could have is;

y = 3x² + 5y = x³ + 21x + 2y = x⁴ − 17x² + 72y = x5 + 4x³ − 5xy = x6 − 6x3 + 5x

What is the maximum number of extrema they could have in increasing order?

The extrema of a polynomial is otherwise termed it's "turning point(s)". It follows that a polynomial with a degree n would have (n-1) number of turning points. It therefore follows on this basis that the arrangement of the polynomial equations in increasing order of possible extrema they could have is;

y = 3x² + 5

y = x³ + 21x + 2

y = x⁴ − 17x² + 72

y = x5 + 4x³ − 5x

y = x6 − 6x3 + 5x

Read more on extrema;

https://brainly.com/question/11513179

#SPJ1

Please help with these problems

Answers

Answer:

thank you for thissssssss

Which one goes where?:( WILL GIVE BRAINLIEST!<33

Answers

Answer:

1 pair of parallel sides: B

2 pairs of parallel sides: A, D

3 pairs of parallel sides: C

Step-by-step explanation:

When two lines are parallel, they will never intersect.

Anyone know how to do this

Answers

Answer:

77

Step-by-step explanation:

3+2*49-24

3+98-24

101-24

77

Good luck

Answer:

77

Step-by-step explanation

3+2X7^2-4X6

First complete the exponent

3+2X49-4X6

Then multiply

3+2X49-24

Multiply

3+98-24

Calculate the rest of the equation

101-24=77

Therefore the answer is 77.

Please don't be mad if this is incorrect

Also the x's are multiplication symbols and NOT variables

What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3

Answers

Answer:

C.

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?

Answers

Answer:4.0

Step-by-step explanation:

pls help me pls and thank u

Answers

94 step by step below

What is the theoretical probability of randomly choosing a blue marble from a bag of 5 blue marbles, 8 red marbles, and 7 yellow marbles?

Answers

Answer:

25%

Step-by-step explanation:

There's a total of 5+8+7 = 20 marbles.

The chance of picking a blue marble is [tex]\frac{5}{20} =\frac{1}{4} =0.25=[/tex]25%, as there's 5 blue marbles and a total of 20.

What is the sum of the fraction below? 1/7+3/8

Answers

Answer:

29/56

Step-by-step explanation:

Here we're combining two fractions of different denominators, 7 and 8.  The LCD is the product of 7 and 8:  56.

1/7 is rewritten as 8/56 and 3/8 as 21/56.

Summing these up, we get 29/56

What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs

Answers

Answer:

The answer should be t > s. B is the correct answer.

GRADE 10 MATH QUESTION
The city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)

Answers

Answer:

the shortest route is from cabin site to B

Step-by-step explanation:

see my attachment

Answer:

answer is b

Step-by-step explanation:

Whats the y-intercept of -2x - y=3

Answers

Let’s first write this in the slope form: y=mx+b.
m is the slope and b is the y intercept.
-2x-y=3
y=-2x-3
So the b, or the y intercept is -3

x = 4 and y = 2, what is the value of x^2 + y^3 ?

Answers

Answer:

14

Step-by-step explanation:

x * 2 = 8

y * 3 = 6

6 + 8 = 14

¿¡ Cuanto es "(8 x 7 + 5 x (-8)) : (-4)" ??

Answers

Answer:

-4

Step-by-step explanation:

So like ur last problem do it in order left to right.

[8x7]+5x(-8)/(-4)

56+[5x(-8)/-4

56+(-40)/-4

16/-4=(-4)

Sorry if i did in wrong order.

Answer: 4(14x-11) hop that can help you

Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.

Answers

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for
recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?

Answers

Answer:

s + 178 = Abha's Can's

Step-by-step explanation:

Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.

(i didnt know if you wanted the solution of s or just the equation on how to find s)

In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?

Answers

Answer:

50 ( nearest whole number)

Step-by-step explanation:

Given from the question :

Ratio of Adjacent to hypotenus = 0.92

Length of Adjacent leg = 46 units

From trigonometry :

Ratio of adjacent to hypotenus is the cosine of the angle :

Hence,

Cos 23 = adjacent / hypotenus

Cos 23 = 46 / hypotenus

0.9205048 = 46/ hypotenus

Hypotenus = 46 / 0.9205048

Hypotenus = 49.97

Identify the transformations of the
function f(x) = x^2 to g(x)=(x-7)^2+4

Answers

We will take the opposite of what is in the bracket, so if we see -7 in the bracket, that means it moves 7 units to the right and 4 units up.
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