Answer:
37,500
Step-by-step explanation:
0.2x+0.1(x−0.2x)=105000.2x+0.1(x−0.2x)=10500
0.3x−150x=105000.3x−150x=10500
15x−x50=1050015x−x50=10500
x=10500∗5014=1500∗25=37500
A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 500
x = 210
p = 210/500 = 0.42
q = 1 - 0.42 = 0.58
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is
0.42 ± 1.96√(0.42)(0.58)/500
= 0.42 ± 0.043
Find the vertex of the function given below y=x^2-2x+1
Hey there! :)
Answer:
(1, 0).
Step-by-step explanation:
Convert from standard form to vertex form by completing the square:
y = x² - 2x + 1
Move 1 to the other side:
-1 = x² - 2x
Complete the square. Remember to add to both sides:
-1 + (1) = x² -2x + 1
Simplify:
0 = (x - 1)²
The function in vertex form is:
y = (x - 1)²
Therefore, the vertex is:
(1, 0).
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)
Answer:
0.24
Step-by-step explanation:
Given the points (10,2.4) (15, 3.6) (17.5, 4.2)
The unit rate is the slope of the line joining any of the two points.
Using points (10,2.4) and (15, 3.6)
[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]
=0.24
Using points (10,2.4) and (17.5, 4.2)
[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]
Therefore, the unit rate for each point is 0.24
The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram
Answer:
Here we want to create a histogram of:
Number of houses Vs day.
First you need to create a rectangular coordinate axis.
In the x-axis you will divide the days as:
day 1, day2, day3 etc
in the y-axis you will measure the number of houses visited.
then, for the first day our height will be 12 units
for the second day, our height will be 28 units...
and so on.
Remember that for histograms you need to use columns.
Then, our histogram will look like:
Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer: 83.6
Step-by-step explanation:
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
Hope it helps <3
P.S. brainliest brains?
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5
Answer:
Option D). is correct choice.
Step-by-step explanation:
The linear approximation for f(x) at x = a is y = 5
Best Regards!
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
Someone help me plz
Answer: x = 3
Step-by-step explanation:
The area of a triangle is 1/2bh. Thus, the area of the triangle is 30. The area of a rectangle is lw. Thus it is 10x here. Thus, 10x = 30 and x = 3.
Hope it helps <3
Answer:
x = 3
Step-by-step explanation:
To find the area the area of a triangle is 1/2 b×h
that will be 1/2× 5×12 = 30
since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30
= 10x= 30 divide both sides by 10 = 3
so x = 3
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:
£783.78Step-by-step explanation:
Let the price before be x
Then the price after is:
x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest pennyRoger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
From Dial it, we have plans of $16 per 2 gb.
then the ratio is (number of gb you get):price
in this case:
2:16 or we can reduce it to 1:8
this means that per each Gigabyte, you pay 8 dollars. 1:8
Ring Ring has plans of $9 per 1gb
then the ratio of gb to Dollars is 1:9
And the ratio between the prices of the companies is: 8 to 9 or 8:9
which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.
Answer:
Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.
A music store sells only CDs. The manager buys the CDs for $8.00 each and sells them for $15.00 each. The monthly operating expenses total $10,000. How many CDs must the store sell each month to break even and start making profits?
Answer:
1,429
Step-by-step explanation:
You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)
Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo
Answer:
9 metros bajo el nivel del mar
Step-by-step explanation:
Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.
Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.
Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.
Find the height of the cylinder with the volume of 271.4 and a cylinder radius of 6. Round to nearest tenth PLEASE HELP!
Answer:
2.4.
Step-by-step explanation:
the formula of the volume of a cylinder is ; πr²h.
so, we will have to substitute with the formula.
3.14 × 6 × 6 × h = 271.4
113.04h = 271.4
divide both sides by the number next to the unknown, which is 113.04.
you will get 2.4009200........
when u round off to the nearest tenths, you will get 2.4.
Which number is a factor of 51?
factors of 51 are 1, 3, 17, 51
Answer:
1 × 51 = 51
3 × 17 = 51
_________
1, 51, 3, 17 are all factors of 51!
51 is composite.
Which of the following is equivalent to 18 minus the square root of -25
Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *
Answer:
The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.
Step-by-step explanation:
What are the properties of the point (2, 0) in this graphed function? {graph pictured below} A. It is a relative maximum and a y-intercept. B. It is a relative maximum and an x-intercept. C. It is a relative minimum and a y-intercept. D. It is a relative minimum and an x-intercept.
Answer:
It is a relative minimum and an x-intercept.
Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3.
Answer: - 4
Step-by-step explanation:
Given that A = - 4, B = 3
According to the instruction :
Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3
Raise - 2 to the double of b ;
Result = (-2)^(2*3) = (-2)^6 = 64
Divide result by quadruple of a
a = - 4 ;
Quadruple of 'a' means 4 times as many as 'a' = '4 * a' quadruple of a = (-4) * 4 = - 16
= (-2)^6 / -16
64 / - 16
64 / - 16 = - 4
8.99 to the nearest decimal
Answer:
9
Step-by-step explanation:
One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.
Hope this helped!
the bed on jeffs pick up truck is 8 feet lomg. On a scale model of his truck the bed is 10 inches long. what is the scale of the model?
i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet
Which expression is equivalent to
(4^5/4.4^1/4/4^1/2
Answer:
Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?
A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?
Answer:
4
Step-by-step explanation:
The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:
Perimeter of region = 4 × Perimeter of semicircular arc.
The side of the square = diameter of the semicircle = 2/π.
The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]
The perimeter of a semicircle = perimeter of a circle ÷ 2
[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]
?/? of 24 = 16 (answer in fraction)
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]
Step-by-step explanation:
hello
24 = 8*3
16 = 8*2
so
[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]
so the answer is 2/3
hope this helps
The Slope of a Line
(8,2) and (5,11)
Calculate the slope of the line
that contains the given points.
Answer:
m = -3
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Simply plug in our coordinates to find slope:
m = (11 - 2)/(5 - 8)
m = 9/-3
m = -3
Please answer this question now
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent, it is a right angle
VWX is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
6^2 + 8^2 = VX ^2
36+64 = VX ^2
100 = VX ^2
Take the square root of each side
sqrt(100) = sqrt( VX ^2)
10 = VX
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent to the circle V, by definition, WX ⊥ WV.
So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, we have a = WV = 6 and b = WX = 8, so:
a² + b² = c²
6² + 8² = 36 + 64 = 100
c² = 100
c = √100 = 10
Therefore, VX = 10 cm.
~ an aesthetics lover
Can someone please help me I really need help please help me thank you
Answer:
D. 2
Step-by-step explanation:
The rate of change is also considered the slope in graph form.
In the first chart every time the t-value goes up twice the c-value goes up four times.
The same can be said for the graph on the bottom.
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Answer:
see below
Step-by-step explanation:
$11.60 for $5
1. Find the rate.
$11.60 divided by $5= $2.32
2. 1 gemstone= $2.32
Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.
Answer:
D) x/11.60= 1/5
Step-by-step explanation: