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

Write the equation of the line, in point-slope form. Identify the point ( − 2 , − 2 ) as ( x 1 , y 1 ) .

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Answer:

x =  y +  2  y  −  1 = 2x  

Step-by-step explanation:

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Answer:

the answer is approximately 0.0003.

Step-by-step explanation:

I just searched it up

68 =34 =23

True or False? (Hint: Type true or false)

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Answer:

I believe it's false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

..................

how to find the distance between the two parallel lines: y=2x-3 and y= 2x+7

Answers

Answer:

Distance is 10

Step-by-step explanation:

distance between y1=2x-3 and y2= 2x+7

y2 - y1 = (2x +7) - (2x - 3) = 10

Answer:

10

Step-by-step explanation:

.

.

.......... ......

17 + 16s = -16 + 19s
Solve for s

Answers

Answer:

s is equal to 11

Hope this helps

Answer:

s=11

Step-by-step explanation:

17 + 16s= - 16 + 19s

resta 19s en los dos lados

17+ 16s – 19= -16

combina 16s y 19s para obtener -3s

17 – 3s = -16

reta 17 de -16 para obtener -33

-3 =

divide -33 entre -3 para obtener 11

s=11

sas, sss, aas, or not enough information

Answers

Answer:

Sas

Step-by-step explanation:

Because it’s side angle side

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

The given triangles are congruent by :

SAS criterion

because two of their sides are equal and the angle between the is equal too (by vertical opposite angle pair).

list the coordinates gor both ordered pairs.

Answers

Answer:

A is (20, -35)

B is (-15, 45)

Step-by-step explanation:

Hope this helps you out :)

Have a great day

-Kendra <3

Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

Learn more about Coordinates:

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please help!!! thank you so much whoever does!!

Answers

Answer:

32 lbs

Step-by-step explanation:

Given:

1/4 spicy trail mix

3/8 regular trail mix

20 total mix

Math:

1/4 + 3/8 = 5/8

20/ (5/8) = 32

Answer:

32 pounds

Step-by-step explanation:

Fraction of supply for regular trail mix= ⅜

Fraction of supply for spicy trial mix

= ¼

[tex] = \frac{2}{8} [/tex]

We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.

Simplifying the above information into units form:

Total (supply)= 8 units

Regular trail mix= 3 units

Spicy trail mix= 2 units

Raisins used this week

= (3 +2) units

= 5 units

Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.

5 units ----- 20 pounds

Divide both sides by 5 to find how much raisins 1 unit represents:

1 unit ----- 20 ÷5= 4 pounds

Since his supply was 8 units of raisins,

8 units ----- 4(8)= 32 pounds

∴ He had 32 pounds of raisins at the beginning of the week.

3x + y - 8 3y + 1 Simplified?

Answers

>> Algebra

__________

[tex] \: [/tex]

(3x + y - 8)(3y + 1) = ...

= 9xy + 3x + (y.3y) + 1y + (-24 - 8)

= 9xy + 3x + 3y² + y - 32

Answer:

may. be the ans is 3x +2y =9

The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much does it cost to buy five tickets?

Answers

Answer:

8 tickets

Step-by-step explanation:

x = 10 in the given equation.

We have then:

C (x) = 17.5x - 10

C (10) = 17.5 * (10) - 10

C (10) = 165

Answer:

to buy 10 tickets cost:

$ 165

b. How many tickets can you buy with $ 130?  

For this case we must make the substitution: C (x) = 130

We have then:

C (x) = 17.5x - 10

130 = 17.5x - 10

Clearing x we have:

17.5x = 130 + 10

17.5x = 140

x = (140) / (17.5)

x = 8

Answer:

You can buy 8 tickets with $ 130

WILL GIVE BRAILIST TO PERSON WHO ANSWERS CORRECTLY!!
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°

Answers

Answer:

The Answer is 16

Step-by-step explanation:

The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is

180

o

. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.

Your Welcome! :)

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

i need to know what 26.6 divided by 7 is.

Answers

Answer:3.8

Step-by-step explanation:

Find 0% of 104 delta math

Answers

Answer:

0

Step-by-step explanation:

1. 0% can be written as 0/100, and "of" indicates we need to multiply 0/100 by 104.

[tex]\frac{0}{100}*104[/tex] [tex]0 * 104[/tex] [tex]0[/tex]

Therefore, 0% of 104 is 0.

HELP GUYS!! CAN U EXPLAIN ON HOW TO DO THIS I REALLY DONT UNDERSTAND TYY

Answers

Answer:

If your Simplifying well the answer would be 9/20

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 18 and 40 is 2

Divide both the numerator and denominator by the GCD

18 ÷ 2

40 ÷ 2

Reduced fraction:

9

20

Therefore, 18/40 simplified to lowest terms is 9/20.

What is the slope of a line that is perpendicular
to a line with a slope of -⅓

Answers

Answer:

3/1, or 3

Step-by-step explanation:

When you have a perpendicular line, if it is a negative, you take away the negative, and if it is a fraction, you turn it upside down. 1/3 becomes 3/1.

3 would be the correct answer , I remember answering this question in my algebra class .

NEED SOME HELP HERE answer

Answers

Answer:

C, move (translate) 5 units left

Step-by-step explanation:

Sliding or moving is called translating, and MATH is to the right of M'A'T'H' (prime), so translate 5 units left.

HELP!! What is the approximate measure of angle x in the triangle shown?
60.3 degrees
80.4 degrees
117.1 degrees
130.5 degrees

Answers

Answer:   D)  130.5 degrees

=================================================

Work Shown:

[tex]c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\[/tex]

Note: I used the law of cosines. Make sure your calculator is in degree mode.

The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?​

Answers

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

P and q have values of 4 and 21, respectively.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The form (x - p)²= q is what we get when we complete the square.

Adding the number 5 on both sides,

x² - 8x = 5

After dividing by two, square the b term. Then divide both sides by that figure.

-8/2 = -4

(-4)² = 16

x² - 8x + 16 = 5 + 16

x² - 8x + 16 = 21

Solve the factors,

(x - 4)² = 21

p = 4

q = 21

As a result, the values of p and q are 4 and 21, respectively.

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Can some one pls help me

Answers

Answer:

look at the picture i have sent

Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?

Fill in the blanks with the correct values.

Answers

25 minutes

(6*1000)/240

There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces?

Answers

If there 20 % fat in 32 piece
1 piece will be 20/32 = 0.625%
In 4 pieces will be 4* 0.625% = 2.5%

in the given parallelogram ABCD , find the value of x and y​

Answers

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

Value of given variables are :

[tex]x = 36 \degree[/tex][tex]y = 37 \degree[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The solution is in attachment ~

in the given parallelogram ABCD , find the value of x and y

Answer:

x = 36

y = 37

Help please thank you!

Answers

The photo below has the answer

find the coordinates of the midpoint of the segment whose endpoint are H(3,2) and K(9,6)​

Answers

Answer:

midpoint P(6, 4)

Step-by-step explanation:

[tex] \frac{x1 + x2}{2} \\ \frac{y1 + y2}{2} [/tex]

[tex] \frac{9 + 3}{2} = 6 = x \: mid \: point \\ [/tex]

[tex] \frac{6 + 2}{2} = 4 = y \: mid \: point[/tex]

My slope is 15/3. How do I use the y=mx+b formula if the slope is a fraction?

I’m very new to this so I’m struggling quite a bit

Answers

That's fine , fraction is a number . Just use it as any number .

you want simplify the slope first

15/3=5

and insert

y=5x+b

if its lets say 1/3

y=1/3x+b

Hope this helped

If
6/
z + 4
=P, and p
=
12, what is the value of z?

Answers

Answer:

P

=  6

/z  +  4

Z =  3/4

Exact Form : 3/4

Decimal Form : 0.75

Answer:

.75

Step-by-step explanation:

6/.75 = 8 + 4 = 12

kuisssss


hi how are you?

[tex] \sf {3}^{2} \div 9 = [/tex]

pakai cara​

Answers

Answer:

1

Step-by-step explanation:

[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]

Moga Membantu ^-^

Answer:

The solution is 1

Step-by-step explanation:

3²÷9

= 9÷9

= 1

Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?

Answers

73.2-60=13.2 stefan is 13.2 inches now

Select the correct answer?

Which expression is equivalent to y2/5, if y ≠ 0?

Answers

Answer:

Exponents =

[tex]\textsf y^{\frac{2}{5}} \textsf{equivalent} \sqrt[5]{y^2}[/tex]

Solution :

[tex]\textsf{When} \ a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

[tex]\textsf{And} \ y^{\frac{2}{5}} = \sqrt[5]{y^2}[/tex]

.

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