Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm
Given :
Diameter of the flask = 25 cm
radius, r = [tex]$\frac{25}{2}$[/tex] cm
Height of the flask, h = 40 cm
We have to find out the volume of the cylinder flask
Volume [tex]$= \pi r^2h$[/tex]
[tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]
= [tex]$19634.95 \ cm^3$[/tex]
= [tex]$19635 \ cm^3$[/tex]
Now calculate the volume of the marble
Given :
Diameter = 13 mm
radius, R [tex]$=\frac{13}{2} \ mm$[/tex]
Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]
[tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]
[tex]$= 1150.35 \ mm^3$[/tex]
or [tex]$= 115.035 \ cm^3$[/tex]
Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]
[tex]$=\frac{19635}{115.035}$[/tex]
= 170.68
Therefore, the number of the marbles used is approximately 170.
please helppp me on this math question
Answer:
C=F/M
C=2640/75
C=35.20
$35.20 Per Band Member
Step-by-step explanation:
C= Cost Per Band Member
F = Food and Bus Cost
M = Band Members
Answer:
The answer is 32.2 (35 with ramainder of 15)
Step-by-step explanation:
THE ANSWER IS 35 WITH REMAINDER OF 15
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
Find CD? Plssss help
Answer:
CD = 10
Step-by-step explanation:
Answer:
CD=10 is the answer to your question
if someone could explain to me how to do this
3 35/44 as a decimal
Answer:
3.79545454545 or 3.7954 with a little line over the 54 showing its repeating.
Answer:
Step-by-step explanation:
Your decimal will be 3.6 because to convert 3 33/55 into decimal:
Step 1: Divided the numerator 33 divided by the denominator 55 33 divided by 55 = 0.6.
Step two: add 0.6 to the integer part. 3 + 0.6 = 3.6
So 3 33/55 as a decimal is 3.6
Here’s the rounded value also:
3 33/55 = 4 rounded to 0 decimal places.
PLEASE HELP ASAP 10+ PTS!!
Answer:
(x,y) = (25,15)
Step-by-step explanation:
In a parallelogram, alternate angles are equal, so
[tex]\left \{ {{3x-8=4y+7} \atop {4x+13=5x-12}} \right.[/tex]
From the latter equation we obtain [tex]x= 13 + 12 = 25[/tex]. So substituting in the former equation gives
[tex]75-8 = 4y + 7\\4y = 60\\y = 15[/tex]
Find the measure of < FEG
How many pizza can be bought with 125$
Answer:
depends how much the pizza is
$25000 at 4.25% for 2 year
Answer:
Step-by-step
Monthly Payment $1,088.41
Total Interest Paid $1,121.77
Total Paid $26,121.77
Mark brainliest if this answer is correct please
which function defines (f divided by g)(x)
Answer:
A if its wrong im sorry
Step-by-step explanation:
The function is (f ÷ g) (x) is given as [tex](3.6)^{-2x + 1}[/tex]. Then the correct option is A.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are given as
[tex]\rm f(x) = (3.6)^{x + 2}\\\\\\g(x) = (3.6)^{3x + 1}[/tex]
The f(x) is divided by the g(x), we have
[tex]\rm (f \div g ) (x) = \dfrac{f(x)}{g(x)} = \dfrac{(3.6)^{x + 2}}{(3.6)^{3x + 1}}\\\\\\(f \div g ) (x) = (3.6)^{x + 2}*(3.6)^{-(3x + 1)}\\\\\\(f \div g ) (x) = (3.6)^{x + 2- 3x - 1}\\\\\\(f \div g ) (x) = (3.6)^{-2x + 1}[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
The probability that it will rain tomorrow is 0.65
What is the probability that it will not rain tomorrow?
Answer:
.35%
Step-by-step explanation:
100% - .65% = .35%
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450
Using equivalent angles, it is found that the coterminal angle is of 270º.
Equivalent Angles:In the trigonometric circle, ranging from 0 to 360º, each angle has an equivalent on the each quadrant.A negative angle is given by the trigonometric circle in clock-wise rotation, hence, to convert to positive, we keep adding 360º.In this problem:
The angle is of -450º.-450 + 360 = -90º, which means that the original angle gave more than one lap of the circle.Adding again, -90 + 360 = 270º, which is the coterminal angle.You can learn more about equivalent angles are https://brainly.com/question/21737963
help 16 points Select all of the true statements.
A.
All rhombuses are squares.
B.
All rectangles are parallelograms.
C.
All quadrilaterals are trapezoids.
D.
All squares are parallelograms.
E.
All trapezoids are parallelograms.
Answer:
a and b I think
Step-by-step explanation:
I'm not sure if that is right i haven't learned that in a while
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Why is it important that we tell Native American stories?
Answer:
Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.
Step-by-step explanation:
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
PLEASE SOMEONE HELP ME WITH THIS PROBLEM
Answer:
1.28
2. -3.5
3.-10.5
Step-by-step explanation:
1.-0.0035 · 12000+70= 28
2. -0.0035 ·21000+70=-3.5
3. -0.0035 ·23000+70=-10.5
I hope this helps
Given f(x) = 7x^9, find f^-1 (x). Then state whether f^-1 (x) is a function
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
Need help supper fast pls
Answer the statistical measures and create a box and whiskers plot for the following set of data
2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19
Min:
Q1:
Med:
Q3:
Max:
Answer: 478161
Step-by-step explanation:
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
A bakery sold 73 bagels in the first hour of business. If the bakery had 246 bagels to start with, how many bagels were left after the first hour?
Answer:
173
Step-by-step explanation:
Answer: 173 bagels are left after the first hour.
Step-by-step explanation: if they had 246 bagels to start with, and they sold 73 in the first hour. 246-73=173.
An investment service is currently recommending the purchase of shares of Dollar Department Store selling at $18 per share. The price is approximately normally distributed with a mean of 20 and a standard deviation of 2. What is the probability that in a year the shares will be selling: Between $21 and $24
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that [tex]\mu = 20, \sigma = 2[/tex]
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 21:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20}{2}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.
Answer:
2,3,4
Step-by-step explanation:
hope this helps=D
Answer:
B,C,D
Step-by-step explanation:
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
Will give brainlest if right! Two plus two?
hi i need help please:))
Answer:
i got 96
Step-by-step explanation:
you have to find the unit rate for 1 driveway and times that by 12
32 divided by 4 is 8
8 x 12 is 96
hope this helps :)