The volume of a hemisphere with radius x is V(x) = 2/3 πx3. The volume of a cube with a height of x is shown in the graph. When x = 2, which volume is greater?
The volume of the _________ is greater when x = 2.
(hemisphere or cubic)
Answers
Answer:hemisphere
Step-by-step explanation:
The volume of the hemisphere is greater when x = 2.
The formula for calculating the volume of a hemisphere is expressed as:
[tex]V=\frac{2}{3} \pi x^3[/tex]
Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:
[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]
Next is to get the volume of a cube expressed as:
[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]
Hence the volume of the hemisphere is greater when x = 2.
Learn more here: https://brainly.com/question/14022833
Related Questions
If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes
Answers
Answer: 15
Step-by-step explanation: 5/6 times 18 = 15 hours
En un molino azucarero cada trabajador recibe un bono mensual de $100.00 el trabajadorbtiene la opcion de gtar dicho bono comorando azucar de ingenio a un precio preferencial de 9.75 el kilogramo
suponiendo que dispone de $100 pesos extras para comprar
¿a partir de cuantoa kilogramos el trabajos empieza a pener de su dienero?
¿cual es la expresion algebraica que representa la situacion del trabajador?
Answers
It is 11:45 AM when can you put the bread in the oven if the brain needs to bake for 30 minutes what time will the bread finished baking
Answers
Answer:
The bread will be done baking at 12:15
Step-by-step explanation:
11:45+30=12:15
Answer:
12:15 pm
Step-by-step explanation:
30 minutes is two sets of 15 minutes
15+45=60
Therefore, 12:00pm is 15 minutes of back time
Add the second set of 15 minutes and you get 12:15 pm
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answers
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
How many kilometers are in 60 miles? Note: There are 1.609kms in 1mi.
Answers
Answer:
Your answer is 96.5606 Kilometers.
Step-by-step explanation:
1.609 x 60 = 96.5606
Mark as brainliest if it's correct!
Answer:
96.5606kms
Step-by-step explanation:
whats the area of a circle if the diameter 6
Answers
Answer:
28.27
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
6x3.14 = 18.84. multiply by pi
Mario paid $30 to activate his cellular phone plus $50 per month. Type an equation:_
Answers
Answer:
50x + 30
Step-by-step explanation:
50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone
Answer:
pa rompa pero no poden con mi pom pom con pom pom con pom pom
Step-by-step explanation:
Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?
Answers
I hope this help you :) mark me brainiest if u need anything more help like this tell em
Please help me as soon as possible! :)
1 1/8 + b ≥ 7/16
Answers
Answer: 42
Step-by-step explanation:
Example:
Solve x + 7 < 15
Solution:
x + 7 < 15
x + 7 – 7 < 15 – 7
x < 8
Inequalities Of The Form “x – a < b” or “x – a > b”
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (*≧∀≦*)
The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Now,
Solve the inequality as;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Solve for b as;
⇒ 9/8 + b ≥ 7/16
Subtract 9/8 as,
⇒ 9/8 + b - 9/8 ≥ 7/16 - 9/8
⇒ b ≥ (7 - 18) / 16
⇒ b ≥ - 11/16
⇒ - 11/16 ≤ b
Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
Learn more about the inequality visit:
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To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answers
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
Solve for x: 5x + 15 = 28
Answers
Answer:
x= 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
5x + 15 = 28
5x + 15 (-15) = 28 (-15)
5x = 13
5/5x = 13/5
x= 2 [tex]\frac{3}{5}[/tex]
Answer:
x=2.6
Step-by-step explanation:
1)write equation
2)put line through equal sign(if on paper, its way easier to put a line through.)
3)subtract 15 from 15
4)subtract 15 from 28(13)
If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!
5)what's left over is 5×=28 divide 5 on both sides.
6)13÷5=2.6
I dont know man help please
Answers
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answers
Answer:
I think it is 200
but I am not very sure
Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11
Answers
Answer: The answer is f= –31 1/3.
Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.
3x + 17 < 47
43<8x-9 can you answer this ASAP please !!!
Answers
Answer:
3x + 17 < 47 solving for x = x<10
43<8x-9 solving for x = x = 13/2
What is the chance of rolling two dice and the dice add up to six?
Answers
around 13% chance
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
Answers
Answer:
The jar problem
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
She looked to see if she had enough coins to fix her car
She didn't so she went on the side of the street to play her guitar
She played for money by a food bar
She worried she wouldn't make a lot
So she bet illegally on some chickens that fought
She was scared the cops would come and she would get caught
The saw the cops coming and her eyes lit up like a match
She grabbed $500 and she was one they wouldn't catch
It turns out she only needed $10 to fix a tiny scratch
She only had $5 is coins in her jar
Now she has $500 and can fix her car
Hope this helps ya! Keep smiling!
mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over
Answers
Answer:
Each friend would get 3 slices and there would be 2 slices left over.
A Ferris wheel can accommodate 55 people in 30 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answers
Answer:
i believe your answer is 550 people, which would be 110/hr
Step-by-step explanation:
Hope that helps!
Which expression has the same value as 4÷25 in fraction form
Answers
Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
If you went to school at 7:55 a.m. what time will it be in 4 hours?
Answers
8:55
9:55
10:55
11:55
Answer: 11:55 I hope this helps Have a nice day
Step-by-step explanation:
Help me with this please
Answers
Answer:
The First Table
Step-by-step explanation:
The y-values increase inconsistently, while the other tables are constant.
Select The correct Description giving brainliest:)
Answers
Answer:
D. The quotient of a difference and a number
Step-by-step explanation:
its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)
Answer:
C!!!!
Step-by-step explanation:
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answers
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
where does 3.5 belong o the venn diagram
Answers
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.
Answers
Answer:
.68.0314 m/s
.42.272752125mph
68.0314km/h
Step-by-step explanation:
A bank teller has 47 $20 and $5 bills in her cash drawer. The value of the bills is $490. How many $20 bills are
there?
Answers
Answer:
A bank teller has 47 $20 and $5 bills.
The value of the bills is $490.
Number of $20 bills --> x
Number of $5 bills --> y
x + y = 47 --> x = 47-y
20x + 5y = 490 --> 20x = 490-5y
so
20(47-y) = 490 -5y
940-20y = 490-5y
940-490 = -5y+20y
15y = 450
y= 30
so
x = 47-30
x = 17
IN TOTAL --> 17 $20 bills and 30 $5 bills.
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
Order of Operations: BPEMDASMultivariable SystemsStep-by-step explanation:
Step 1: Define variables
x = # of $20 bills
y = # of $5 bills
Step 2: Set up systems of equations
[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]
Step 3: Solve for x
Rewrite: [tex]\left \{ {{y=47-x} \atop {20x+5y=490}} \right.[/tex]Substitute: [tex]20x+5(47-x)=490[/tex]Distribute 5: [tex]20x+235-5x=490[/tex]Combine like terms: [tex]15x+235=490[/tex]Subtract 235 on both sides: [tex]15x=255[/tex]Divide both sides by 15: [tex]x=17[/tex]By solving for x, we now know that we have 17 $20 bills.
Step 4: Solve for y
Define: x + y = 47Substitute: 17 + y = 47Subtract 17 on both sides: y = 30Now we know that we have 30 $5 bills.
Help no troll answer plz
Answers
Answer:
Step-by-step explanation:
Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.
Q 5. This question belongs to Physics and not Mathematics!!!
Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )
f = v / (lambda)
f = 3 / 2 = 1.5 (Hz)
Q 6. 0.060 ÷ 2 = 0.030 m
What is the exact value of sin(75°)?
Answers
Step-by-step explanation:
sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.
Answer:
D.)
Step-by-step explanation:
Edge
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
Answers
2.A0^ekt
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
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