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
Which of the following is a proposed solution that is not a solution of the original equation?
an extraneous solution
conditional solution
an exponential solution
a radical solution
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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.
Write a unit rate for the situations.
30 milliliters every 4 hours
milliliters per hour
Answer:
[tex]{7.5 \: mm(h)}^{ - 1}[/tex]
Step-by-step explanation:
[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :
\\ rate = \frac{30 milliliters }{ 4 hours} = 7.5\frac{mm}{h} = {7.5 \: mm(h)}^{ - 1} [/tex]
The unit rate for the situation is mL per hour
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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If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
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)
X = sqrt(625)
X = 25
The longest side is 25m
John increased the amount of water he drinks every day from 20 fluid ounces to 48 fluid ounces. By what percentages did John increases the water he drinks?
A. 15%
B. 28%
C. 140%
D. 12.5%
Answer:
C. 140%
Step-by-step explanation:
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?
Answer: 25 Feet.
Step-by-step explanation: 1,250 % 50.
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
Turner's bookshelf has 6 shelves. Each shelf has 17 books. How many books are on the bookshelf?
Answer:
102 books
Step-by-step explanation:
Answer:
102 Books
Step-by-step explanation:
Multiply 6 by 17
The length of a rectangular deck is 5 times it’s width. If the decks perimeter is 36feet, what is the deck area?
Answer:
45
Step-by-step explanation:
P = 2(L+W)
36 = 2(5W + W)
36 = 10W + 2W
36 = 12W
W = 3
5W = 5(3) = 15
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?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
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
⇒ 6w=18
⇒ w=3 feet
So, length=5w=15 feet
Area =15×3
= 45 square feet
Therefore, the area of a rectangular deck is 45 square feet.
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Aaron charges $15 to mow the lawn and $10
per hour for other gardening work. Which
expression represents his earnings?
F. 10h
G. 15h
H. 15h+10
J. 15+10h
Answer:J
Step-by-step explanation:
I don’t understand this question.
6.333 x 10^2 standard form
MY BAD!
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.
Answer:
we need to know the options
Step-by-step explanation:
If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?
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Answer:
36 2/3 inches by 40 inches
Step-by-step explanation:
To find the drawing dimension, multiply the actual dimension by the scale factor:
(550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in
(600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in
The dimensions on the drawing would be 36 2/3 inches by 40 inches.
What’s the slope for (15,8) (10,7)
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
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?
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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X+4 x+1
Write an equation to determine the value of x so that each pair of polygons has the same perimeter. Then solve
Answer:
5x i think
Step-by-step explanation:
hopenit is right
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
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
2 x 5 = 10
check you work-
75 + 10 = 85
Jamall has 20 mo of planes and cars. He has three times as many cars in points. What is the
But what is the question
Which best describes the solution set of the compound inequality below?
Answer:
Option B. 4<=x<=6 is the solution set.
Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19
Prove the following
please help
Step-by-step explanation:
5. I assume you mean this:
(cos²x / sin x) + sin x
Add using common denominator.
(cos²x / sin x) + (sin²x / sin x)
(cos²x + sin²x) / sin x
Use Pythagorean identity.
1 / sin x
csc x
6. tan²x cos²x
Write tangent in terms of sine and cosine.
(sin²x / cos²x) cos²x
Simplify.
sin²x
Use Pythagorean identity.
1 − cos²x
Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there
Answer:
The number of right-handed people = 56
Step-by-step explanation:
80% of 70 players = number of right-handed people
So, 80/100 x 70 = 56 players
Therefore, number of right-handed players = 56
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
3rd and 4th one.
Step-by-step explanation:
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.
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
Two angles are complementary. One angle is 5 times as large as the other. What is the measure of each angle?
Answer:
15 and 75
Step-by-step explanation:
complementary - add up to 90 degrees
x+5x=90 degrees
6x=90 degrees
x=90/6
x=15
15*5=75
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?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
Find the slope between the points.
(4, -6) and (-2, 1)
Answer:
m = (y2-y1)/(x2-x1)
m = (1-(-6))/(-2-4)
m = 7/ -6
Please help me fast.
Answer:
26
Step-by-step explanation:
all you have to do is count and add i took the test before
Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72