A sphere has a surface area of 803.84 cm^2. What is the volume?
Answers
Answer:
V≈2143.03cm³
Step-by-step explanation:
The volume of the sphere is 2143.57 cm³.
What is the surface area of the sphere?A = 4 × π × r², where 'r' is the radius of the sphere.
What is the volume of the sphere?V = (4/3) × π × r³
For given example,
a surface area of the sphere is 803.84 cm^2.
⇒ A = 803.84 cm²
Using the formula of the surface area of the sphere,
⇒ 4πr² = 803.84
⇒ r² = 64
⇒ r = 8 cm
Using the formula of the volume of the sphere,
⇒ V = (4/3) × π × r³
⇒ V = (4/3) × 3.14 × 8³
⇒ V = 2143.57 cm³
Therefore, the volume of the sphere is 2143.57 cm³.
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Related Questions
Can anyone help? I’m sorry I’m bad at math-
Answers
Evaluate the following expression
9+ 2/8^3=
Answers
Answer:
Step-by-step explanation:
assuming this is set up as it is meant to, we would have 9+(2/8)^3. This can be simplified by reducing (2/8)^3 into 1/64. This leaves 9+1/64, this gives 577/64. Hope this helps!
Answer:
9.015625
Step-by-step explanation:
A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8%? Round your answer to four decimal places.
Answers
Answer:
Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.
Step-by-step explanation:
For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]
Here
[tex]\hat{p}[/tex] is the sample measure which is 8% or 0.08p is the population measure which is 6% or 0.06n is the number of samples which is 529So the Z score is given as
[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]
For this the score, the value of probability is calculated from the table as below:
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]
Here value of p(Z<-1.6955) is given as 0.0455
[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]
What is m∠1? help me please
Answers
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
So 64+57=111 so 1 = 111
In chapter 1, we introduced several sampling methods: Simple random sample, stratified sampling, systematic sampling, and cluster sampling. All the sampling methods except for convenience sampling, allow for unbiased statistical inference to be made. Convenience sampling typically leads to an unrepresentative sample and biased results. In this week's discussion board, you are asked to design a sample that is representative of the population and unbiased. Scenario: A marketing executive for Coca- Cola, Inc. wants to identify television shows that people in the Seattle area who typically drink Coke are watching. The executive has a list of all households in the Seattle area. Task: You are asked to design a sample to obtain the individuals in the sample. Use the provided scenario to help the Coca-Cola executive identifying the television shows. Design a sample that meets the requirements we discussed in the previous chapter. You need to explain why did you choose this sampling method.
Answers
Answer:
For the coca-cola case, stratified sampling coupled with random sampling will be used.
Step-by-step explanation:
Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:
Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.
Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.
Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.
Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.
On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.
En una librería se venden novelas a 16 euros y guías de viaje a 10 euros. Si hoy se han vendido 37 libros en total con una recaudación de 508 euros, calcula el número de ejemplares vendidos de cada tipo.
Answers
Answer:
En la librería se vendieron 23 novelas y 14 guías de viaje.
Step-by-step explanation:
Con la información proporcionada puedes plantear las siguientes ecuaciones:
x+y=37 (1)
16x+10y=508 (2), donde:
x es el número de novelas vendidas
y es el número de guías de viaje vendidas
Primero, puedes despejar x en (1):
x=37-y (3)
Ahora, debes reemplazar (3) en (2) y despejar y:
16(37-y)+10y=508
592-16y+10y=508
592-508=16y-10y
84=6y
y=84/6
y=14
Después, debes reemplazar el valor de y en (3) para encontrar el valor de x:
x=37-14
x=23
De acuerdo a esto, la respuesta es que en la librería se vendieron 23 novelas y 14 guías de viaje.
Can someone pls help me with this? I got everything else I just don't really understand PI I know it's the last one because PI is approximately 22/7 can you just help me with the rest? It multiple choices too. Thank you soo much! 20 points!
Answers
Answer:
C, D, and E
Step-by-step explanation:
Answer: C, D and E are correct :D
Step-by-step explanation:
HELP ASP
A cylindrical soap dispenser has a
diameter of 3 inches and a height of 10
inches.
3 in.
10 in.
Which measurement is closest to the
total surface area of the dispenser in
square inches? (8.1A, 8.1B, 8.1C, 8.1E,
8.1F)
F 203 in.
G 108 in.
H 245 in 2
J
122 in.
Answers
Answer:
you can do this have a great day
Step-by-step explanation:
The equation y =f(x) is graphed on the coordinate plane. A function, g(x). is the result of translating the graph of fuxi to the left 2 units and up 4 units. Which is an equation for g(x)?
A)g(x)=f(x - 2)+4
B)g(x) = f(x + 2) + 4
C)g(x)=f(x-4)-2
D)g(x)=f(x + 4)-2
Answers
Answer:
A
Step-by-step explanation:
g
[tex]g(x) = f(x - 2) + 4[/tex]
A function assigns the value. The equation of the function g(x) will be f(x-2)+4.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.
Hence, the equation of the function g(x) will be f(x-2)+4.
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Solve for x in the following equations: -8x -10y = -6 when y = 3
A) -3
B) -6
C) 4
D) -2
Answers
Answer:
x = - 3
Step-by-step explanation:
- 8x - 10(3) = - 6
- 8x - 30 = - 6
- 8x - 30 + 30 = - 6 + 30
- 8x = 24
- 8x ÷ - 8 = 24 ÷ - 8
x = - 3
Answer:
the answer is A -3
Step-by-step explanation:
-8x-10y=-6 when y=3
-8x-10(3)=-6
-8x-30=-6
-8x=-6+30
-8x=24
-8x÷8=24÷8
x=-3
A jar contains 20 marbles: 6 are brown, 2 are gray, 5 are black, and 7 are white. A black marble is removed and replaced before a gray one is removed.
Answers
Answer:
Yes
Step-by-step explanation:
What is the question we need to answer? We got the information
what is the area of a square of 12 and four semicircles. Rounded to the nearest tenths place
Answers
Answer:
3.46
Step-by-step explanation:
plz can i get brainliest:)
Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings
account at 9% annual interest, compounded yearly,
Amount of shoebox savings: f(t) = 120t
Amount of savings account: g(t) = 1,500(1.09)^t
Which function represents the amount of money Henri will have after t years?
Answers
Answer:
T(t) = f(t) + g(t)
Step-by-step explanation:
The function which represents the total amount of money Henri will have in t years is the function obtained using an addition operation in the two defied functions, f(t) and g(t) ; total amount saved in shoe box plus the total compounded amount in savings account
Total amount of money in t years, T(t) ;
T(t) = 120t + 1,500(1.09)^t
f(t) = 120t
g(t) = 1,500(1.09)^t
Hence,
T(t) = f(t) + g(t)
El área de un terreno rectangular es de 144 metros cuadrados. Si la base es mayor 7 metros que la altura. ¿Cuáles serían las dimensiones reales? ¿Y su perímetro?
Answers
Altura = 16
Base = 9
(16 * 9 = 144)
Perímetro = 50
(16*2 + 9*2 = 50)
good morning!! can someone help?!:)
Answers
Answer:
Option A. {-4, 2, 4}
Step-by-step explanation:
There is no other options because none of them are bigger than -5 except Option A.
A shopping container has a volume of 2,800 cubic inches. which could be the dimensions of the container? WILL GET BRAINLIEST
Answers
Missing part of the question
- 10 in, by 12 in. by 24 in.
- 12 in. by 15 in. by 18-in.
- 10 in. by 16 in. by 20 in.
- 12 in. by 12 in. by 20 in.
Answer:
The possible dimensions of the container are
- 10 in, by 12 in. by 24 in
- 12 in. by 12 in. by 20 in
I hope i helped you. have a wonderful day!
I’m having a hard time
Answers
Answer:
Its the third and fourth answer
Describe the graph of this inequality: 2x + 3 > 9
Answers
Answer:
Open circle at 3 going to the right.
Step-by-step explanation:
Let’s look at this.
first, let’s simplify the inequality. 2x +3-3>9-3
2x>6
x>3
since this is just a greater than or less than, it will be an open circle.
now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.
let f(x) =x2-10x-11. enter the x intercepts of the quadratic function in the boxes.
Answers
X intercepts= (11,0) and (-1,0)
Y intercepts= (0,-11)
EXPLAINATION:
To find The X intercept, substitute in zero for a Y and solve for X.
To find the Y intercept, substitute in zero for X and solve for Y.
MARK ME BRAINLIEST PLEASEEEE
write the quadratic equation whose roots are 3 and 1 and whose leading coefficient is 5
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Answer:
Step-by-step explanation:
added the answe in the sreen shot below that fully explains it
What is the slope of the line that passes through the points (-5, 8) and (-11, 8)
Answers
You and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Answers
Answer:
158.45
Step-by-step explanation:
Answer:
gYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Step-by-step explanation:vYou and your family go out for dinner. The bill is $146. There is 8.25% tax. Find the total price you will pay for dinner including tax.
Answer this question to get marked as barinliest!!!!
Answers
Answer:
60 cubic inches
Step-by-step explanation:
first find the area of the right triangle then multiply by 10 in.
=> (3 × 4 ÷ 2) × 10
=> 60 in.³
Valeria already owns 147 necklaces, and additional necklaces are priced at 2 for a dollar. How
much money does Valeria need to spend on new necklaces in order to own a total of 477
necklaces? Write and solve an equation to find the answer
Answers
Answer:
$660
Step-by-step explanation:
Step 1
The number of extra necklaces that valeria needs is calculated as:
477 necklaces - 147 necklaces
= 330 necklaces
Step 2
We are told that
1 extra necklace cost $2
Hence
1 necklace = $2
330 necklaces = x
Cross Multiply
x = 330 × $2
x = $660
Therefore, Valeria need to spend and additional $660
What is the perimeter of the triangle
Answers
Answer:
it's 65 because if u count the inside of the boxes u get 65
Answer:
34
Step-by-step explanation:
to get the perimeter you add the side-A with Base-B and Side-C.
The base at the bottom is 10 and the two symmetrical sides is 12.
P= a + b + c
34= 12 + 10 + 12
20 POINTS!!!!!! SOLVE FOR X
Answers
Answer:
All you have to do is equal the equations to each other to find x for each problem!
Step-by-step explanation:
Hope this helps bestieee!
Help please........................
Answers
Answer:
17r = 595 is the answer
Step-by-step explanation:
Answer:
A) 17r = 595 is the correct equation.
Step-by-step explanation:
We have to find the no. of rooms on each floor.
If there are 'r' rooms, and in 17 floors there are a total of 595 rooms,
We can represent it in the following equation:
17r = 595
r = 595/17
r = 35
∴ There are 35 rooms on each floor
can someone pls help me with this question
Answers
Answer:
6
Step-by-step explanation:
The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.
Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.
I also made a visual in the file below if this is confusing
Can somebody help me with this
Answers
Answer:
8) 260 mm
9)? .............
Evaluate the expression: (− 8)(15)(− 1/2)
Answers
Answer: 60
Step-by-step explanation:
Answer:60
Step-by-step explanation:
((−8)(15) (-1/2) =60