2.

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:

66 inches ;

95.44 ;

4

Step-by-step explanation:

Given that:

Normal distribution with;

Mean(m) = 66 inches

Standard deviation (s) = 3 inches

A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches

B.) percentage horses who are between 60 and 72 inches

Zscore = ( x - m) / s

x = 60

Zscore = (60 - 66) / 3

Zscore = - 6/3

= - 2

P(Z < - 2) = 0.0228

Zscore = ( x - m) / s

x = 72

Zscore = (72 - 66) / 3

Zscore = 6/3

= 2

P(Z < 2). = 0.9772

Between 60 and 72

0.9772 - 0.0228 = 95.44

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?

Zscore = ( x - m) / s

x = 63

Zscore = (63 - 66) / 3

Zscore = - 3/3

= - 1

P(Z < - 1) = 0.1587

0.1587 * 25 = 3. 967 = 4


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Answer:

[tex]\frac{1}{5} = 0.2[/tex]  

I hope this helps!

If a right triangle has two legs of 7m and 24m what is the length of the longest side? *

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Answer:

It would be 24m

Step-by-step explanation:

The longest side of a right triangle is the hypotenuse.

Use the Pythagorean theorem to solve for the hypotenuse:

X = sqrt(7^2 + 24^2)

X = sqrt( 49 + 576)

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The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?​

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Answer: 25 Feet.

Step-by-step explanation: 1,250 % 50.

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Step-by-step explanation:

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Add using common denominator.

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Simplify.

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last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?​

Answers

Answer:

0.7 more hours

Step-by-step explanation:

8.6 - 7.9 = 0.7 more hours

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PLEASE HELP ME
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Answer:

3rd and 4th one.

Step-by-step explanation:

Aaron charges $15 to mow the lawn and $10
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Answer:J

Step-by-step explanation:

6.333 x 10^2 standard form

MY BAD!

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Answer:

633.3

Step-by-step explanation:

What does the confidence interval of a confidence level of 99% tell about the population of all college students in the​ state? Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

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Answer:

we need to know the options

Step-by-step explanation:

Find the slope between the points.
(4, -6) and (-2, 1)

Answers

Answer:

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

m = (1-(-6))/(-2-4)

m = 7/ -6

Which best describes the solution set of the compound inequality below?

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Answer:

Option B. 4<=x<=6 is the solution set.

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Answers

Answer:

15 and 75

Step-by-step explanation:

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The length of a rectangular deck is 5 times it’s width. If the decks perimeter is 36feet, what is the deck area?

Answers

Answer:

45

Step-by-step explanation:

P = 2(L+W)

36 = 2(5W + W)

36 = 10W + 2W

36 = 12W

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15 x 3 = 45

The area of a rectangular deck is 45 square feet.

Given that, the length of a rectangular deck is 5 times it’s width.

What is the perimeter of a rectangle?

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The decks perimeter is 36 feet

Let the width of a deck is w, then the length of a deck is 5w.

Now, 2(5w+w)=36

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Therefore, the area of a rectangular deck is 45 square feet.

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help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students

Answers

75 tickets are for the students and 10 are tickets are for the chaperones

Answer:

Kids- 75

Chaperones- 10

Step-by-step explanation:

We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...

15 + 2 = 17

85 / 17 = 5

15 x 5 = 75

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check you work-

75 + 10 = 85

Find the LCM of the given numbers 24 36
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D:864

Answers

Answer:

B

Step-by-step explanation:

24*3=72

36*2=72

7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
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Answers

X=16...simplify both sides then isolate the variable

X+4 x+1
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Answers

Answer:

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Step-by-step explanation:

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an extraneous solution

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Answers

9514 1404 393

Answer:

  an extraneous solution

Step-by-step explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.

Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
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Answers

Answer:

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Step-by-step explanation:

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Answers

B. 2 4 8 16 32 is a geometric sequence

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Answers

9514 1404 393

Answer:

  36 2/3 inches by 40 inches

Step-by-step explanation:

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Answers

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Answer:

C. 140%

Step-by-step explanation:

Write a unit rate for the situations.

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milliliters per hour

Answers

Answer:

[tex]{7.5 \: mm(h)}^{ - 1}[/tex]

Step-by-step explanation:

[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :

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How do you write a unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. Examples of popular unit rates are the speed in miles per hour, the amount of energy used in miles per gallon, and the speed of the internet in megabits per second. Miles per hour, blinks per second, calories per serving, steps per day, and heartbeats per minute are a few instances of unit rates.

7.5 mL/ hr

The unit rate for the situation is mL per hour

Rate= 30mL/ 4Hrs

Rate= 7.5mL/ hr

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Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the

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But what is the question

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Answer:

102 books

Step-by-step explanation:

Answer:

102 Books

Step-by-step explanation:

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26

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Angle TQS is equal to 74 degrees
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A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?

Answers

If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.

What is meant by cubic decimeter?

1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.

1 cubic meter = 1000 liters

because, 1 liter = 1 decimeter³

1 meter = 10 decimeters

1 decimeter= 0.1 meters

1 liter = 0.1³ meter³

1 m³ = 1000 liters

Given:

In 1 hour the amount of water filled = 500 cubic meters

In half an hour the amount of water filled = 250 cubic meters

= 250,000 liters.

Therefore, 250,000 liters of water exists filled in the pool in half an hour.

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Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play. Each pair of wings is made with ¾ yard of fabric. The fabric costs $8 per yard. You'll apply properties of multiplication in the following steps to find the total cost of the fabric.​

Answers

you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80

Answer:

you will need 9 and 3/4 for the 13 pairs of butterfly wings. if you were doing that, the total price would be $78. if you needed to have a whole number for yards, you would round up to 10 and the total price would be $80

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