The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.

c. What is the Z-score for a giraffe that is 18.5 foot tall?

d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?

e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?

f. The 70th percentile for the height of giraffes is ___ ft.

Answers

Answer 1

Answer:

Median =17

Step-by-step explanation:

Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.  

a) X is N(17, 0.9)

b) Median giraffe height = 17 ft since in normal distribution mean = median

c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667

d) P( x < 18) = P( Z < 56)

= 0. 2877

e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413

= 0.3851

f) 75th percentile for z is 0.675

x = 17.9 + 0.9 (0.675)

= 18.5075


Related Questions

Help Pleasseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

graph points (0,2) and (0.857,0)

Step-by-step explanation:

can i please have the brainliest

Riski states that any function written without exponents must be linear.Which function proves Riski 's statement is incorrect? A)y=5x+3 B)y=x⁵+3 C)y=×/3+5 D)y=3/×+5​

Answers

Answer:

D

Step-by-step explanation:

Riski states that any function written without a exponent must be linear ( straight) however the equation y= 3/x+5 shows a non-linear line when graphed.

I need help asap pleaseeeee

Answers

y
=

2
x

1
I think I’m not sure

8x divided by 13x

how do you do this plis give answer

Answers

Answer:

8/13

Step-by-step explanation:

8x

------

13x

The x in the numerator and denominator cancel

8/13

The answer would be 0.6153 Yw Luv

find dy/dx using implicit differentiation
cos x + sin y = 1

Answers

Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

Find the distance between the points U(11, -2), V(-1,3)​

Answers

Hopefully this answered your question!

Help- 50 Points.
The question is put down below in the attachments.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph representing the given function is B

[tex]f(x) = \dfrac{1}{2} x - 5[/tex]
The answer is b.

The equation is in the form y = mx + b

The slope (rise over run) is m so it’s 1/2 so the rise is 1 and run is 2.

The y intercept is b, which is -5. The graph intersects y at -5.

Find the least common multiple for the pair of numbers. 18,7

Answers

Answer:

the lcm is 126

What are the y and x-intercept in f(x)=50-2x?

Answers

Answer:

Step-by-step explanation:

Write an expression for each of the following:

a. the sum of 6 and z

b. the difference between 20 and x

c. 8 less than the quotient of x divided by 6

d. x increased by 5 divided by 4

Answers

Answer:

6 + z

20 - x

x/6 - 8

5x/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a.6+z

b.22-x

c.8-x÷6

d.x+15÷4

What is the square root of 111.2

Answers

Answer:

Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.

What is the answer to 2 and 3?

Answers

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

will mark as brainliest if correct, 20 points

Answers

Answer:

D. [tex]4\frac{1}{16}[/tex]

Step-by-step explanation:

Substitute the given value into the function and solve.

D 4/16 is the answer pls give brainliest

twenty four less than two times a number x.. pls help.

Answers

Answer:

24-2x

Step-by-step explanation:

Answer:

The equation is written as follows:

2x-24    

The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to find the perimeter and then find the length of the rectangle.

Answers

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

A, b, c or d?????? Pls help quick

Answers

Answer:

The answer is a

Step-by-step explanation:

have a nice day :)

HELP PLEASE!!!!
ill mark brainliest! 50 points!!

Answers

Answer:

sorry i dont understand

Step-by-step explanation:

will figure out...

In the graph, what fraction does the arrow point to? ​

Answers

3/4

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

area of photograph 875cm2 and area of puzzle 2385cm2 length 35 workout the length

Answers

Answer:

https://sooddan.zendesk.com

PLEASE HELP THIS IS GOING TO BE MY FIRST GRADE!!!!!!

Answers

The rate of change is 3/4.

Explanation:

The rise is 3 and the run is 4.

The slope, or rate of change, is rise/run.

I don’t get this question at all

Answers

Answer:

-12

Step-by-step explanation:

Answer:

-8(-4+x)

Step-by-step explanation:

This is because the value of all the numbers never changes. Because

"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.

Hope this helps! :)

Find the slope and use the point to write an equation of the line in point slope form.

Answers

Answer:

y - 3 = - 1/4(x + 2)

Step-by-step explanation:

m = - 1/4

Point = (-2,3)

y-intercept = 3 - (- 1/4) (-2)

= 3 - 1/2 = 5/2

y = - 1/4x + 5/2



can someone help please

Answers

Answer:

x=33°

Step-by-step explanation:

(x-1)+x=x+32 (ext angle of a triangle)

x-1+x=x+32

x+x-x=32+1

x=33

x = 33. Is the answer

I need help with this assignment. Help please

Answers

The answer came as 2257 as listed above

help! hsjsjsjsjshssjsjshsshhesh

Answers

Answer:

5

Step-by-step explanation:

a) Se simplifica la b) Se simplifica

potencia, en este la potencia, en

caso 5 este caso 4.

Step-by-step explanation:

Espero que te sirva

Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %

Answers

Answer:

20% decrease

Step-by-step explanation:

2516/3270 = 0.8 or 80%

This means 80% percent of people showed up again from last year

100-80 = 20

So 20% decrease

Can someone help me with this thank you

Answers

Answer:

4b

Step-by-step explanation:

when u add you don't add the exponents of the variable.

when you multiy you add the exponents and put the variable. it would be 4b^4 if you were multiplying but ur adding

Please help me solve this problem

Answers

Answer:

30

Step-by-step explanation:

If you subtract 30 - 12 you would get 18 and multiply by -3 would get you -54

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

Answers

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

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

In which:

m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.The response variable calories is the output.

The equation is:

[tex]y = 121 + 1.42x[/tex]

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622

FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?

Answers

Answer:

3 g/cm³

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question we have

[tex]density = \frac{9}{3} = 3 \\ [/tex]

We have the final answer as

3 g/cm³

Hope this helps you

Other Questions
Which of the following steps is required before biological processes can break down organic material in wastewater? Aeration basins Primary clarifiers Filtration Disinfection Cassie has a box that is a cube with a side length of4 inches. She needs a second box that has 3 times thevolume of the first box. you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll? A trading company acts like a ______, taking on much of the responsibility of finding markets while facilitating all marketing aspects of a transaction. What will happen in the market when a tax is placed on producers? Saving the Manatees. someone please find this stoey for my sis lol writing carla has already written 10 pages of a novel she plans to write 15 additional pages per month until she is finished A.write an equation to find the total number of pages P written after any number of months MB. graph the equation on the grid at the rightC. find the total number of pages written after 5 months Discuss the multi-meters D Arsonval movement. direct variation Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. if a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?pls help (;) Which time span includes three Britishvictories in a row?A 17751776B 1777-1778C 17781780D 17801781 PLEASE HELP METhe unit claims that you can increase the challenge of your workouts by using Newtons first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newtons first law to create a more challenging workout? When you change the terrain, what is that force called? Self explanatory solve porfavor plzzzzzzzzz help and the answer choice i have on there is not the answer just where i accidently hit lol Which of the following claims did the residents of Greenwich use to most support their argument that they should be "relieved by the Massachusetts legislature from the situation described in the petition?A) They believed that Massachusetts should pay off its war debts.B) They earned enough money to pay their state taxes.C) They were eager to gain the benefits of independenceD) They had aided the government during the Revolutionary War The annual average rainfall in new york is 50 inches Per year. Write this fraction as a decimal. HELPPP Marking Brainliest Pls help Spanish Marianela, los dientes estn amarillos. Cepilla los dientes dos veces al da y visita la higienista dental dos veces al ao.Which of the following should Marianela do to her teeth to fix the problem? Blanquear Alinear Llevar frenos Usar hilo dental Write the following algebraic expression for this sentence:"The product of eight and a number squared decreased by 5." Along the road from Concord to (11)_____________________________, colonists fired atthe British, wounding 200 and killing 73.AmericanMore Military ActionOn May 10, 1775, a small group of New Englanders, known as the(12)_____________________________, led by (13)_____________________________captured the British Fort Ticonderoga at Lake Champlain. Committees of(14)_____________________________ sent out calls for volunteers to join the militias. In June,1775, redcoats charged militia members on (15)_____________________________.The colonists ran out of (16)_____________________________ and withdrew, but the Britishsuffered heavy losses. The (17)_____________________________ did not consider unfair taxesand regulations sufficient cause for rebellion. The (18)_____________________________,however, were determined to fight for independence.Use these words to fill in the blanks.Green Mountian BoysCorrespondenceLt. Col. Francis SmithBreed HillEthan AllenJohn Hancock Geometry questions need some help