The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :


Related Questions

WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa

Answers

Answer:

this isn't a social studies stream

ask the question again but in a social studies thingy

find the solutions of 4s²-12s = -9 by factoring​

Answers

Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

The difference between four times a number and six is -46

Answers

Answer: 4x-6=-46

4x-6=-46

what a number named as a googolplexian might be ?

Answers

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5

Answers

Answer:

The slope of the graph is 5 / 2

To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]

Given the following equation:

[tex]5x-2y=20[/tex]

To determine the slope of the graph:

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]    ....equation 1.

Where:

x and y are the points.m is the slope.b is the intercept.

[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex]   ....equation 2

Comparing eqn. 1 and eqn. 2, w have:

Slope, m = [tex]\frac{5}{2}[/tex]

Read more: https://brainly.com/question/18123312

Which is a incorrect rounding of 53.864?
A) 54
B) 53.9
C) 53.87
D) 50

Answers

The answer to this, is A

The solution is Option C.

The incorrect rounding of the number 53.864 is 53.87

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be represented as A

Now , the value of A is

A = 53.864

Now , on rounding the number A to the nearest , we get

Step 1 :

If we round the number to the nearest integer, the number is 54

Step 2 :

If we round the number to the nearest tenth, the number is 53.9

Step 3 :

If we round the number to the nearest hundredth, the number is 53.86

So , the number 53.87 is not true

Step 4 :

If we round to the nearest tens, the number is 50

Hence , the only incorrect rounding is 53.87

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ5

Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket

Answers

Answer: adult = $11

Child = $8.5

Step-by-step explanation:

Let the cost of an adult ticket be a

Let the cost of child ticket be c.

From the question,

3a + 4c = $67 ....... i

5a + 6c = $106 ...... ii

Multiply equation I by 5

Multiply equation ii by 3

15a + 20c = $335

- 15a + 18c = $318

2c = $17

C = $17/2 = $8.5

Put the value of c into

3a + 4c = $67

3a + 4($8.5) = $67

3a + $34 = $67

3a = $67 - $34

3a = $33

a = $11

Cost of adult ticket = $11

cost of child ticket = $8.5

Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

solve the inequality -4x + 5 > 21​

Answers

Answer:

x < -4

Step-by-step explanation:

Step 1: Write inequality

-4x + 5 > 21

Step 2: Solve for x

Subtract 5 on both sides: -4x > 16Divide both sides by -4: x < -4

Answer:

x < -4

Step-by-step explanation:

[tex]-4x+5>21\\\\-4x+5-5>21-5\\\\-4x>16\\\\\frac{-4x>16}{-4}\\\\ \boxed{x<-4}[/tex]

Hope this helps.

What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?

Answers

Answer:

The answer is 1.788

Step-by-step explanation:

What number would go into the box?

Answers

8. When dealing with exponents like x^2, multiplication is like addition and division is like subtraction (x^2*x^3=x^5, x^3/x^2=x). So, for this one, we can get rid of the X’s and rewrite as this: p+6-2=12. If we solve this, we see that the answer is 8.

Shanika is making a decorative tablecloth for her small circular table. The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

Which design would give Shanika what she wants?

A. a circular piece of cloth with radius of 90 cm

B. a circular piece of cloth with radius of 110 cm

C. a circular piece of cloth with radius of 100 cm

D. a circular piece of cloth with radius of 130 cm

Answers

The answer is definatly NOT D. I think that the answer is A.

The design that should  give Shanika what she wants is the radius of 90 cm.

Calculation of the design:

Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

So, the radius is

= 40 + 60 - 10

= 90 cm

Learn more about radius here: https://brainly.com/question/3708862

98*68-67+87
this is for my lady

Answers

Answer:

6684

Step-by-step explanation:

Answer:

6684

Step-by-step explanation:

(98)(68)-67+87

PEMDAS

The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?

Answers

The answer is 2826 I hope this helps you

What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?

Answers

What on that be $1

Step-by-step explanation:

because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️

Answer: dollar value is 55 cents

Step-by-step explanation: Common Sense

Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?

Answers

Answer:

10

Step-by-step explanation:

Let the original whole number be x and the next whole number be x+2

If Lila added both number and the sum was 22, then:

x + (x+2) = 22

x+x+2 = 22

2x +2 = 22

2x = 22-2

2x = 20

divide both sides by 2

2x/2 = 20/2

x = 10

Hence the original number she thought of was 10

Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain

Answers

Did it come with a pic

If f(a) = 3a? – a, then what is the value of f(-2) ?

Answers

Answer:

Step-by-step explanation:

-7

On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)

Answers

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

Given f(x)=3x+7 and g(x)=5x-4 answer the following g(2)

Answers

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

parallel to y = 1/2x+3 and through the point (4,5)

Answers

Y-y1 = slope (x-x1)
Y-5=1/2(x-4)
Y-5= 1/2x-2

Final answer
Y=1/2x + 3

Select all of the zeros of the function f(s) = (5x - 7)(x + 3)

Answers

Answer:

Step-by-step explanation:

of
estion
Instructions: Write the equation of the line in
Slope-Intercept Form given the information
below. Use Point One in your answer.
Point One = (0, -2)
Point Two = (-3, -5)
Slope-Intercept Form:

Answers

The equation of the line is y=1x-2. I hope this helps and if you need a more in depth explanation, I can write the work I did to solve it.

For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Answers

Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Step-by-step explanation:

Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)

Step-by-step explanation:

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

Answer is 6..is correct

can someone help me x -y =1
and can yall explain how you solved it

Answers

Answer:

x = 1 + y

Step-by-step explanation:

add y to both sides, and that is basically it

will give brainliest !!

Answers

Answer:

$672

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

I think hope this helps

It’s a written I just took the test

Answers

Um... is there a question?

What is the solution for -x+10<4??

Answers

Answer:

x=6

Step-by-step explanation:

subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6

Find the slope of the line through each pair of points. (9.-14). (8-8)​

Answers

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

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