The mass per cup for the objects will be 320g and 272g respectively.
What is mass?Mass simply means the weight that an object contains.
The mass of a teapot and 4 cups is 1,280 grams. The mass per cup will be:
= Mass / Number of cups
= 1280 / 4
= 320g
The mass of the same teapot and 10 cups is 2,720 grams. The mass per cup will be:
= 2720 / 10
= 272g
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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?
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
What is the pattern in the numbers 2,3,5,7,11,13
Answer:
the number that repeat is number 2
Answer:
+1+2+2+4+2
Step-by-step explanation:
debate time : crab or lobster best answer gets brainliest
4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week
Answer:
$218.50
Step-by-step explanation:
5.75×38=218.5
turn into dollars $218.50
which complex number has a distance of v17 from the origin on the complex plain
Answer:c
Step-by-step explanation:
Jacqueline needs 8 gallons of gas. She only has $25. The constant of proportionality of the gas is $3.75. Does she have enough money to get 8 gallons of gas?
Answer:
D. No
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.
Answer:
x y
(Score for Question 2: ___ of 5 points)
At this point I’m just going to start singing songs ! For the caption
Answer:
[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]
Answer:
.50
Step-by-step explanation:
I am pretty sure
A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves
which one is the coldest AMD why
Answer:
Raleigh.
Step-by-step explanation:
Just look for the Fahrenheit with the smallest number.
Answer:Raleigh
Step-by-step explanation:Your going to go for the smallest and I just took the quiz
Find the values for x so that the perimeter of this rectangle is no greater than 150 centimeters
Each student was asked to create an expression whose quotient is 1/3. each student and the response can be seen on table below.
Answer:hi I believe is is Ben and Elizabeth
Step-by-step explanation:
If you lower your monthly payment, do you think the total interest you pay will increase or decrease? Why?
Answer:
increase
Step-by-step explanation:
Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.
Use the Distributive property to find the product. 3x891=3(?-?)
Answer:
900,9
Step-by-step explanation:
distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673
what is 100,789,388,369,012 times 479,000,000
Answer:
4.8278117e+22
Step-by-step explanation:
help please i need answer i will like you and try to answer to your last quashen pls help
Answer:
Ok the so the answer is 103.075
Step-by-step explanation:
So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075
PLEASE HEART
- What value of x makes this equation true?
0.5x -8= 0.2x + 7
0.11+12.74(x+3)=0.08+13.49
Answer:
x = 2.210526316
Step-by-step explanation:
Answer:
[tex]x = −1.9434851[/tex]
Step-by-step explanation:
[tex]0.11 +1 2.74(x + 3) = 0.08 + 13.49 \\ 0.11 + 12.74x + 38.22 = 0.08 + 13.49 \\ 12.74x + 38.33 = 13.57 \\ 12.74x = 13.57 - 38.33 \\ 12.74x = −24.76 \\ \frac{12.74x}{12.74} = \frac{ - 24.76}{12.74} \\ x = −1.9434851[/tex]
Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Response area+4x−2=(2x+1)(2x−1) Response area=(2x+1)(2x−1) Response area=(2x+1)(2x−1)
Answer:
Step-by-step explanation:
Given expression is,
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
To prove this identity we will take the left hand side of the equation and will prove equal to the right side.
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)
4x² - 1 = (2x - 1)(2x + 1)
(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]
15. Which of the following is an equation for the line that passes through
(-4,-3) and (-2, 3)?
Answer:
An equation for the question above is y = 3x + 9.
How are 18:3 and 6:1 equivalent ratios
Answer:
You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.
18:3 and 6:1 are equivalent ratio because two ratios are in proportion
Given :
We are given with two ratios 18:3 and 6:1
We need to show that two ratios are equal
Lets take ration 18:3
Both 18 and 3 are divisible by 3
We can write the ratio in fraction form
[tex]\frac{18}{3} \\[/tex]
When we divide both top and bottom by 3 , we get
[tex]\frac{6}{1}[/tex]
we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]
Hence, the ratios are equivalent ratios
18:3 and 6:1 are equivalent ratios
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1+1
Please, please, this is just to get to 20 words. lol
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
your welcome :}
2
In science class, Graciela noticed that the balance scale showed 2 ounces for a sample of matter and 56.7
grams for the same sample. She has a rock that weighs 708.75 grams but needs to know the weight in
ounces. Which proportion could Graciela use to find x, the weight of the rock in ounces?
rls, what
F
56.7
708.75
2
56.7
2 2.
56.7
78.75
708.75
H
2
708.75
56.7
y mile
J
708.7
2
56.7
Answer:
Step-by-step explanation:
If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;
2 ounces = 56.7grams
If She has a rock that weighs 708.75 grams but needs to know the weight in
ounces, we can say;
x ounces = 708.75grams
Combining both equality postulates
2 ounces = 56.7grams
x ounces = 708.75grams
Cross multiply
56.7 × x = 2 × 708.75
x = (2 × 708.75)/56.7
The proportion is (2 × 708.75)/56.7
Calculate x:
x = 1417.5/56.7
x = 25
Hence the weight of the 708.75g rock in ounces is 25ounces
A store sells 6 bottles of water for $2.88. Find the unit price
Answer:27 ://///
Step-by-step explanation:
Answer:
$.48 per bottle
Step-by-step explanation:
The unit price is the total price divided by the number of items
2.88/6
$.48 per bottle
What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16
Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
I need help please :)
Answer:
see below
Step-by-step explanation:
f(x) = 4x-3
Let x=-4
f(-4) = 4*-4 -3 = -16-3 = -19
Let x=-3
f(-3) = 4*-3 -3 = -12-3 = -15
Let x=1
f(1) = 4*1 -3 = 4-3 = 1
Let x=4
f(4) = 4*4 -3 = 16-3 = 13
Let x=5
f(5) = 4*5 -3 = 20-3 = 17
Answer:
First one:-19
Second one:-15
Third one:1
Fourth one:13
Fifth one:17
HOPE THIS HELPS :)
Step-by-step explanation:
Suppose the population of a certain city is 4903 thousand. It expects to decrease to 4113 thousand in 50 years. Find the percentage decrease
Answer:
(3175-4035)/(4035)= -.213 so a 21.3% decrease
Step-by-step explanation:
wish I helped good luck mate
please help this is timed
Philip is 4 years older than his brother. The sum of their ages is 26. How old is Philip's brother?
Answer:
Phillips brother is 11.
Step-by-step explanation:
11 + 15 = 26
Let x be age of Philip's brother.
4 + x +x = 26
2x = 26 -2
2x = 22
x = 22/2
x = 11
Philip's brother is 11 years old
You have solved a radical equation. What should you do to check whether your proposed solution is correct?
You should check your proposed solution in any of the equations you found while looking for the solution.
You don't need to check whether your proposed solution is correct. You know you followed the proper method, so it should be fine.
You should check the proposed solution in the original equation.
You should check the proposed solution in the back of the book because it is always right.
Answer:You should check the proposed solution in the original equation.
Step-by-step explanation:
The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
You have solved a radical equation. Now, to check whether your proposed solution is correct You should check the proposed solution in the original equation.
Hence, the correct option is C.
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The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.
Answer:
784
Step-by-step explanation:
My bad don't know how to explain..