Answer:
6
Step-by-step explanation:
[tex] \hookrightarrow \: number(n) = 8 \\ \hookrightarrow \: sum( \sum \: x) = 2 + 5 + 7 + 3 + 8 + 9 + 10 + 4 = 48 \\\hookrightarrow \: mean = \frac{ \sum \: x}{n} \\ \\\hookrightarrow \: mean = \frac{48}{8} = 6[/tex]
The value of a ratio is ___________.
1 the sum of two quantities in the ratio
2 the quotient of the two quantities in the ratio
3 the difference of the two quantities in the ratio
4 the product of the two quantities in the ratio
Answer:
The value of a ratio is:
Option 2, The quotient of the two quantities in the ratio.
Step-by-step explanation:
Hope this helps you out! ^^
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this account. Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? $5,852. 00 $5,860. 53 $5,940. 00 $5,954. 31.
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For the considered case, we're given that:
Initial amount Laura deposited = $5,500 = PType of interest: Compound interestUnit of time: AnnuallyRate of interest = 1.6% annually = RTotal unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
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PLS HELP ASAP!! WILL MARK BRAINLIEST!!!
Answer:
2 seconds
Step-by-step explanation:
[tex]y=-5t^2+20[/tex] (Given)
When acorn will hit the the ground, at that moment y = 0
[tex]\implies 0= -5t^2+20[/tex]
[tex]\implies 5t^2=20[/tex]
[tex]\implies t^2=\frac{20}{5}[/tex]
[tex]\implies t^2=4[/tex]
[tex]\implies t=\pm\sqrt4[/tex]
[tex]\implies t=\pm 2[/tex]
Time can not be negative.
[tex]\implies t\neq-2[/tex]
[tex]\implies t=2\:seconds[/tex]
Find the midpoint between the points (4,8) and (-6,-3)
Answer:
[tex]( - 1,2 \frac{1}{2} )[/tex]
Step-by-step explanation:
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]
Thus, midpoint
[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]
Name the intersection of
FG
and
GF
Answer: First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
Answer:First option: Line FG First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
a random group of high school and college students were asked if they study with or without listening to music. the frequency table below shows the results of the poll. a 4-column table with 3 rows. the first column has no label with entries high school, college, total. the second column is labeled music with entries 68, 85, 153. the third column is labeled no music with entries 65, 51, 116. the fourth column is labeled total with entries 133, 136, 269. which statements are true? check all that apply. the table shows conditional relative frequencies by column. the table shows conditional relative frequencies by row. the conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56. if someone prefers to study with music, the probability the person is in college is about 63%. if someone prefers to study with music, the probability the person is in hs is about 44%.
Answer:
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study music, the probability the person is in HS is about 44%.
Step-by-step explanation:
In the music column, we see that
total people who prefer to study with music = 153
high school students = 68
So, probability of high school students who study with music
= 68/153
= 0.44
= 44%.
College students = 85
Probability of college students who prefer to study with music
= 85/153
= 0.56
= 56%.
So, the correct statements are :
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study with music, the probability the person is in HS is about 44%.
Answer:
3 and 5
Step-by-step explanation:
2022
Rewrite using a negative exponent.
1/8^6
Answer:
All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6
Step-by-step explanation:
Answer: 8^-6
Step-by-step explanation:
got it right from the answer above
A car dealership sold 120 cars in April. The dealership wants to increase the number of cars sold by 15% in May. How many cars will the dealership need to sell to reach their goal?
Answer:
See below
Step-by-step explanation:
15% of 120 is 18
120 plus 18 is 138
=138
Tom has a goal of saving enough money to buy a new set of rims for his car. Tom makes $7. 50 an hour take home pay at his job working 15 hours per week. If the rims that Tom wants cost $900, how long will it take Tom to achieve his goal? a. 6 weeks b. 7 weeks c. 8 weeks d. 9 weeks Please select the best answer from the choices provided A B C D.
It will take 8 weeks to Tom to achieve his goal.
What is the amount earned by him in a week?
The amount earned by him is given by multipliy number or hours and eaning in a hour.
Given
Tom has a goal of saving enough money to buy a new set of rims for his car.
Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.
The earning of Tom in an hour = $7.5
If tom worked 15 hours in a week, then the amount earned by him in one week is;
[tex]=15\times 7.5\\\\=112.5[/tex]
The required amount to achieve his goal = $900
The number of week he need to work to achieve his target is;
[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]
Hence, It will take 8 weeks to Tom to achieve his goal.
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A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling 200 tickets, they had a net profit of $12,000.
They had to sell a few tickets just to cover necessary production costs of $1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Which of the following could be the graph of the relationship?
Answer:
Step-by-step explanation:
y = 66x - 1200
The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.
If we let b represent the sales earned from selling tickets, then:
Net profit = total sales - total costs
12,000 = 200b - 1,200
We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:
∴12000 + 1200 = 200b
13200 = 200b
To get the price of one single ticket, b, we need to divide both sides by 200.
∴ b = 66
This means that each ticket's selling price is $66.
So when when we take it back to the calculation of net profit then it becomes:
Net profit = total sales - total costs
y = 66x - 1200
To test:
y = 66x - 1200
= 66 (200 tickets) - 1200
= $12,000
- Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, how many more must she sell in order to raise at least $400?
I am pretty sure the answer is 37 more bags.
Kendall need 33 more bags of popcorn to be sold.
What is word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.
Let she needs to sell x more bags of popcorn,
Therefore,
140 + 8x = 400
8x = 260
x = 32.5 ≈ 33
Hence, Kendall need 33 more bags of popcorn to be sold.
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What values can replace a, b and c in the boxes below to make the statement TRUE?
Answer:
a=14
b=-5
c=3
Step-by-step explanation:
14 divided by 7 will give 2.
Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )
same too for y
Claire traveled 466 miles. She drove 81 miles every day. On the last day of her trip she only drove
61 miles. Write and solve an equation to find the number of days Claire traveled. Explain each step
of your problem solving strategy.
Gm
d = 5
What was the total number of days that Claire traveled?
Claire drove for days in all
(Type a whole number.)
Answer:
Claire traveled for 9 days.
Step-by-step explanation:
Given:
Total Distance traveled = 701 miles
Distance traveled each day = 80 miles
Distance traveled on last day = 61 miles
We need to find the number of days Claire traveled.
Solution:
Let the number of days Claire traveled be denoted by 'd'.
Now we can say that;
Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.
framing in equation form we get;
Now Subtracting both side by 61 using Subtraction Property of Equality we get;
Now Dividing both side by 80 we get;
Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.
help help help help help help༎ຶ‿༎ຶ
Answer:
Step-by-step explanation:
START
=> Alternate Interior Angles (Slanted Downwards Right)
=> Vertical Angles (Up)
=> Linear Pair (Right)
=> Corresponding Angles (Down)
=> Alternate Exterior Angles (Down)
=> Interior Angles on the Same Side (Left)
=> Alternate Interior Angles (Left)
=> Corresponding Angles (Slanted Downwards Right)
=> Exterior Angles on the Same Side (Right)
FINISH
If d° = 140°, what is the value of g°? (please dont guess)
100°
140°
80°
40°
Answer:
okay so the is 140 degrees right and d and e are on a straight line so extend every line in that diagram so to get a it will be 180 degrees - 140 and e is equals to 40 degrees k will be 180 degrees because of angle y and d Angle c is equals to 100 degrees because it falls on a straight line with 80 degrees and angles in a straight line add up to 180° uncle g is equals to 100 degrees because it alternate angles c
The measure of angle g from the given figure is 80°.Therefore, option C is the correct answer.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, angle d is 140°.
We know that, sum of interior angles of a quadrilateral is 360°.
From the given figure,
c°+80°=180°
c°=100°
Now, 40°+d°+g°+c°=360°
40°+140°+g°+100°=360°
g°+280°=360°
g°=80°
Therefore, option C is the correct answer.
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Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23 Naeem's Work. StartFraction 10 10 13 14 16 19 23 Over 7 EndFraction = StartFraction 105 Over 7 EndFraction = 15 Preston's Work. StartFraction 10 13 14 16 19 23 Over 6 EndFraction = StartFraction 95 Over 6 EndFraction = 15. 8 Calida's Work. StartFraction 10 23 Over 2 EndFraction = StartFraction 33 Over 2 EndFraction = 16. 5.
Hey there!
Formula:
SUM of all numbers / TOTAL numbers you have in your data plot
EQUATION:
(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7
10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23
= 33 + 14 + 16 + 19 + 23
= 47 + 16 + 19 + 23
= 63 + 19 + 23
= 82 + 23
= 105
105 / 7
= 15
So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]
Step-by-step explanation:
Height = h = 20 cm
Diameter = d = 38 cm
Radius = d / 2 = 38 / 2 = 19 cm
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]
Solution:
Given:
Height of cylinder = 20 cmDiameter of cylinder = 38 cmFirst, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]
[tex]\text{Radius} = \dfrac{38}{2}[/tex]
[tex]\text{Radius} = 19 \ \text{cm}[/tex]
Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]
[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]
Simplify (3^-2)^4
A: 3^8
B: 1/3^2
C: 1/3^8
D: 3^2
Just help for 15 points
Answer:
Point of Intersection = (2/3, -16/3)
Step-by-step explanation:
Equation of line AB
=> y + 18 / -15 + 18 = x + 3 / -2 + 3
=> y + 18 = 3x + 9
=> y = 3x - 9
Equation of Line CD
=> y + 13 / -7 + 13 = x + 7 / -1 + 7
=> y + 13 = x + 7
=> y = x - 6
Intersection
=> 3x - 9 = x - 6
=> 2x = 3
=> x = 2/3
y = 2/3 - 6
y = -16/3
Point of Intersection = (2/3, -16/3)
Solve −h−7h+13=3. Solve for h
Answer:
I think your answer is h = -1
Answer:
-8h+13=3
-8h=3-13
_8h=_10
h=5\4
can someone help me evaluate -7 x (-7)^-4 Please
(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵
Please help with a clear answer
Answer: f is the dependent variable
Step-by-step explanation:
A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.
3. The equation 4x + 16y = 36 is a true equation for a particular
value of x. Explain why x + 4y = 9 is also true for the same value of x.
Answer:
See below.
Step-by-step explanation:
We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:
[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]
Divide:
[tex]x+4=9[/tex]
So, we get [tex]x+4=9[/tex].
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.
Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].
please help me please
Answer:
x = -6
Step-by-step explanation:
we can see that x=-6 when y=2 on the graph
Answer:
-4 should be the answer
good luck
A question on a test asks
students to find the speed at which a car travels.
The graph shows a proportional relationship
between the distance traveled in miles and time
in hours. Billy incorrectly says that the speed of the car is 1/56 mile per hour. What is the speed of the car? What error might Billy have made?
Answer: the actual speed of the car is 65 and the other part is
"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"
Step-by-step explanation:
sorry, hope this isnt too late and hope this helps you!! <3
sorry put a answer then i realized we didn’t have the same numbers
what is the value of x
Answer:
x = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
√25 = √x^2
x = 5
Part 2 please help ty!
It’s fine if you don’t know all of them just say the ones you do
tysm again :D
A small strawberry smoothie costs $5. An X-large smoothie cost twice as much. How much, in dollars, does the X-large smoothie cost?
A firefighter truck can hold 3000 gallons of water. A firefighter can deliver 160 gallons of water every 2 minutes.
1. How much water will be delivered in 10 minutes?
2. How long will it take for the firefighter to empty the tank?
Answer:
Step-by-step explanation:
1. solution
160 gallons = 2 min
160 x 5 = 2 x 5
800 gallons = 10 min
2. solution
160 x 19 = 2 x 19
2880 = 36
So
approximately 38 min
First one with the answers gets marked brainly pls help!!
Using the formula for the area and circumference of a circle, we have the following answers:
1. radius = 2 in. (given)
Diameter = 4 in.
Circumference = 12.56 in.
Area = 12.56 in.²
2. radius = 10 in.
Diameter = 20 in. (given)
Circumference = 62.8 in.
Area = 314 in.²
3. radius = 5 in.
Diameter = 10 in. (given)
Circumference = 31.4 in.
Area = 78.5 in.²
4. radius = 20 in.
Diameter = 40 in. (given)
Circumference = 125.6 in.
Area = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 36 in.
Circumference = 113.04 in.
Area = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 16 in.
Circumference = 50.24 in.
Area = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 24 in.
Circumference = 75.36 in.
Area = 452.16 in.²
8. radius = 16 in.
Diameter = 32 in. (given)
Circumference = 100.48 in.
Area = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 30 in.
Circumference = 94.2 in.
Area = 706.5 in.²
What is the Area and Circumference of a Circle?Area of a circle = πr²Circumference of a circle = 2πr or πd, where r is radius and d is diameter.1. radius = 2 in. (given)
Diameter = 2(2) = 4 in.
Circumference = πd = π(4) = 12.56 in.
Area = πr² = π(2²) = 12.56 in.²
2. radius = 1/2(20) = 10 in.
Diameter = 20 in. (given)
Circumference = πd = π(20) = 62.8 in.
Area = πr² = π(10²) = 314 in.²
3. radius = 1/2(10) = 5 in.
Diameter = 10 in. (given)
Circumference = πd = π(10) = 31.4 in.
Area = πr² = π(5²) = 78.5 in.²
4. radius = 1/2(40) = 20 in.
Diameter = 40 in. (given)
Circumference = πd = π(40) = 125.6 in.
Area = πr² = π(20²) = 1,256 in.²
5. radius = 18 in. (given)
Diameter = 2(18) = 36 in.
Circumference = πd = π(36) = 113.04 in.
Area = πr² = π(18²) = 1,017.36 in.²
6. radius = 8 in. (given)
Diameter = 2(8) = 16 in.
Circumference = πd = π(16) = 50.24 in.
Area = πr² = π(8²) = 200.96 in.²
7. radius = 12 in. (given)
Diameter = 2(12) = 24 in.
Circumference = πd = π(24) = 75.36 in.
Area = πr² = π(12²) = 452.16 in.²
8. radius = 1/2(32) = 16 in.
Diameter = 32 in. (given)
Circumference = πd = π(32) = 100.48 in.
Area = πr² = π(16²) = 803.84 in.²
9. radius = 15 in. (given)
Diameter = 2(15) = 30 in.
Circumference = πd = π(30) = 94.2 in.
Area = πr² = π(15²) = 706.5 in.²
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