Mean allowance of the given students is equals to $13.
What is mean?
" Mean is defined as the ratio of the sum of all the given number to the total number of numbers. It is also known as average."
Formula used
Mean = [tex]\frac{Sum of all the given numbers}{Total number of numbers}[/tex]
According to the question,
Number of students = 10
Weekly allowances of each student
= $9, $11, $13, $15, $20, $10, $12, $15, $10, $15
Substitute the value in the formula of mean we get,
mean = [tex]\frac{9+11+12+13+20+2(10)+3(15)}{10}[/tex]
[tex]= \frac{130}{10}\\ \\= 13 dollars[/tex]
Hence, mean allowance of the given students is equals to $13.
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Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If the street is represented by a number line and ann's house is located at 0, what are the possible locations for carol's house?
Answer:
i. 10 units (Carol's house is 10 units on the right from Ann's house)
ii. -10 units (Carol's house is 10 units on the left to Ann's house)
Step-by-step explanation:
A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).
In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.
Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.
Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.
So that,
The possible locations of Carol's house depends on its position with respect to Ann's house.
i. Carol's house = 8 + 2
= 10 units
This implies that Carol's house is 10 units on the right from Ann's house.
ii. Carol's house = - 8 - 2
= -10 units
This implies that Carol's house is 10 units on the left to Ann's house.
Determine the slope of
the line that contains the
points (3.5) and [1. 6).
Answer:
Assuming 1,6 is y2 and x2, the answer is 1,-2 = -0.5
Step-by-step explanation:
1. Grab 1,6 as it is the second point and invert it into 6,1
2. Invert the first point into 5,3.
3. Subtract (6 - 5) / (1 - 3). The result is 1/-2.
4. Divide 1 by -2.
Answer should be -0.5
Peter has a 25 acre field. He 20.5 acres with sweet corn. What fraction of his field does Peter
plant with sweet comm
Answer:
62 percent of the feild
Step-by-step explanation: to lazy to explain figure it out its simple
Find the LCD of the given rational equation:
х
X+4
X-1
+
x + 2
3
x2+2x-8
Answer:(x+4)(x+2)(x-2)
Step-by-step explanation:
i have 30 minutes to complete this and im stuck so pls help out
If p || q and /_5 = 130 degrees, find /_7. (The /_ are supposed to be angles.)
Answer:
130
Step-by-step explanation:
its basically the same thing
4.
$10,000 is invested in an account paying 7.5% annual interest.
What is the balance in this account at the end of five years?
F.
$13,472.40
H.
$10,380.67
G.
$164,130.86
J.
$14,356.29
Answer:
100 + 7.5 = 107.5
107.5/100 = 1.075
100000 X 1.075^5 = 14356.29326171875
round to 2 dp =
$14356.29
answer J
7²+4(2²+3)/2
please help
Answer:
i think it's 63
Step-by-step explanation:
ask g89gle ig
Help first one to answer correctly get brainliestthank uuuu
Answer:
when in doubt pick c
Step-by-step explanation:
During a sale, all video games are $10 off. Nicole used a coupon to get an additional $20 off her purchase. If the original price of a video game was $75, how much did Nicole pay?
Answer:
45 dollars
Step-by-step explanation:
20 plus 10 is 30. That means she gets a total of 30 dollars off. Subtract 30 from the original price of 75, and you get 45 dollars.
Mr. Allen needs to store his boat for winter. He needs to fill the gas tank and put fuel preserver in the tank. The fuel tank holds 70 gallons and fuel preserver mixes at a ratio of 1 oz. preserver to 2.5 gallons of gas. How much preserver will Mr. Allen need to use?
28 oz.
32 oz.
24 oz.
36 oz.
Answer:
Mr. Allen will need 28 oz. of preserver
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if p and g are proportional, then:
p = kg
Where k is the constant of proportionality.
Where p is the quantity of preserver Mr. Allen needs to store his boat for winter, and g is the gallons of gas of the tank.
We are already given the ratio of fuel preserver and gallons of gas as 1 oz:2.5 gallons.
The value of k is, then k=1/2.5. The proportion is written as:
p = g/2.5
Since the boat holds g=70 gallons of gas:
p = 70/2.5 = 28
Mr. Allen will need 28 oz. of preserver
A man gave half of his welfare allowance to his wife,1/5 to each of his two sons the rest to his daughter. Find the fraction given to the daughter.
Answer:
1/10.
Step-by-step explanation:
Total allowance=1
Half to wife so 1-1/2=1/2(Left from total)
1/5 to each son so 2/5 to both(Total for sons).
Left for daughter 1/2-2/5=1/10(Ans)
I need help plz!!!!!!!!
Answer: 75
Step-by-step explanation:
I'm quite sure about the answer
Here is a list of numbers: 9, 7, 19, 2, 5, 6, 5 ,14 ,3 State the median.
Answer:
6
Step-by-step explanation:
Arrange the items in ascending order
2 , 3 , 5 , 5 , 6 , 7 , 9 , 14 , 19
Median = middle term = (n+1)/2 = (9 + 1)/2 = 10/2 = 5th term
= 6
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To the nearest hundredth, what is the area of a circle with a radius of 4 units?
A. 42.85 square units
B. 25.13 square units
C. 12.57 square units
D. 50.27 square units
Option D 50.27 square units.
How to find the area of a circle?The area of a circle is related to its radius and a mathematical constant π whose approximated value is 3.142, and the area of the circle is πr².
How to Round off to the nearest hundredth?Add 1 to the hundredth if the digit following the hundredth is more than or equal to 5. Remove the digit if not.
The solution to the given problemThe area of the circle is 3.142*4*4 = 50.272
Rounding off to the hundredth as after the hundredth place there is a 2 we will round off the answer to 50.27
The area of the circle with a radius of 4 units is 50.27.
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find the length of the longest straight line that can be drawn on a paper of size 3cm × 4cm
Answer:
5cm
Step-by-step explanation:
we have to find the diagonal using Pythagoras theorem.
a² + b² = c²
3² is 9
4² is 16
9 + 16 = 25
√25 is 5cm
help plz I really need to finish
Answer:
[tex]26x^6y^4[/tex]
Step-by-step explanation:
the volume is like
[tex]V = length\cdot width\cdot depth[/tex]
so we have
[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]
define values and explain
their importance
Answer:
Values
Step-by-step explanation:
Values provide standards of competence and morality. These are ideas that we hold to be important. They govern the way we behave, communicate and interact with others. They transcend specific objects, Situations or persons.
What is the value of the 6 in the number 346 094?
Answer:
The place value of 6 in the number 346 094 is Thousand.Step-by-step explanation:
I hope it helps ❤❤The value of 6 in this number is 6000.
What is place value of a number?The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands, ten-thousands and so on, based on their position in the number.
Given number is 346094
In the number 346094, 6 is at thousand place.
Place value of 6 is 1000
Value of 6 = 6 × 1000 = 6000
The value of 6 in this number is 6000.
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Create a word problem that could be solved using the expression (−12) + (32) + (−16). Also, show the solution.
Answer:
Joe is at Walmart shopping for Pokemon cards. His mother gave him $32 dollars to buy any toys he wants. He plans to spend $16 to buy booster packs and $12 for barbies for his sister. How much money does he have left?
Step-by-step explanation:
Solution: 32-12-16=4
Joe has $4 left.
In which situation could the quotient of -36 ÷ 3 be used to answer the question?
A The balloon rose 36 feet every second. How many feet did the balloon rise in 3 seconds?
B Lidia took $36tomatoes off of her tomato plants over $3days. How much did the amount of tomatoes on her tomato plants change each day?
C In a soccer game there are 3 goals in 36 minutes. What is the rate of goals scored?
D There are 36 apples in a bag. 3 apples are eaten. How many apples are left?
Answer:
B, because of the signal word "took"! :)
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A teacher has two daughters that are now older. But when they were little, they had a lot of toys! They had about 100 more frozen toys than mermaid toys (which we'll call r for "regular")Which expression shows how many Frozen toys they had?
r+100
100
r-100
100r
Answer:
r-100
Step-by-step explanation:
R-100 R-100 R-100
What is the congruence theorem used to prove that the two triangles are congruent?
Answer:
AAS, the two equal angles, the two right triangles, and the shared side
Step-by-step explanation:
Kiran says A square with side lengths of 1/3 inch has an area of 1/3 square inches. do you agree? Explain or show your reasoning
Answer:
i do not agree
Step-by-step explanation:
to get an area of a square you have to times the length by the width so 1/3 inch is not the area is is the length.
-(1/x+3) +4
Horizontal Shift direction:
Horizontal shift number:
Vertical Shift direction:
Vertical Shift number:
Shape:
9514 1404 393
Answer:
left 3 unitsup 4 unitsshape: lower left imageStep-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
vertical expansion by 'a', reflection over x-axis if negativeright shift by 'h'up shift by 'k'Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done before the translation.)
What is the probability of flipping a coin 10 times and getting heads 5 times?
Round your answer to the nearest tenth of a percent
Answer:
0.62
Step-by-step explanation:
0.62 is the probability of getting 5 Heads in 10 tosses.
Answer:
24.6%
Step-by-step explanation:
Total Selling price: $795. state sales tax rate: 7%. city tax rare 1% What is the total sales tax?
Answer:
Step-by-step explanation:
city tax rare, 1%=7.95
7% tax=7.95*7=55.65
total sales tax=55.65+7.95=63.60
At a local fair, Molly sells bracelets. It costs her
$10 per bracelet for supplies and the local marke
charges her a one-time booth fee of $60. She
charges $20 for each bracelet.
a) Write a system of equations to represent this
situation (one equation for expenses and one
equation for income):
Answer:
10x + 60 ; 20x
Step-by-step explanation:
Given that:
Purchase price per bracelet = $10
Cost of booth = $60
Selling price per bracelet = $20
Hence,
Let number of bracelets = x
Expense equation :
(Price per bracelet * number of bracelet) + booth fee
(10 * x) + 60
10x + 60
Income equation :
Selling price * number of bracelets
20x
2x-7=13 what is does x stand for?
Answer:
x=10
Step-by-step explanation:
2x-7=13
13+7=20
20/2=10
lets see if it works:
2(10)-7-13
20-7=13
it works! which means is 10
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Volume for math practice for homework
Answer
Volume for math practice?
Step-by-step explanation: