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.
Write the equation of a perpendicular bisector of the line segment having
endpoints A(-1, -3) and B(5,5).
A cuántos metros equivalen 92 kilómetros?
Answer:
92000
Step-by-step explanation:
Answer:
92,000
Step-by-step explanation:
1 km=1000 m
So 1 km×92= 92 km
But 1000 m×92= 92,000 m
An experiment consists of first rolling a die and then tossing a coin. (a) List the sample space. {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (3, T), (4, H), (4, T)} {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} (b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.)
Answer:
(a)
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
(b)
[tex]P(A) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
The above sample space
A = Event of an occurrence of 3 or 4 then a head
(a): List out the sample space:
The rolls of the dice come first, followed by the toss of the coin.
So, the sample space are:
[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]
The number of the sample space is:
[tex]n(S) = 12[/tex]
(b): Find P(A)
First, we list out the outcomes of event A
[tex]A = \{(3,H),(4,H)\}[/tex]
The number of outcome is:
[tex]n(A) = 2[/tex]
The probability of A is then calculated as:
[tex]P(A) = \frac{n(A)}{n(S)}[/tex]
[tex]P(A) = \frac{2}{12}[/tex]
Simplify fraction
[tex]P(A) = \frac{1}{6}[/tex]
y=7/x, x≠0 need the graph answer!!
Answer:
so the first picture is it graphed without solving it and the second graph is the answer to it graphed
Step-by-step explanation:
Answer please don't put wrong answer. 30 points.
it would be D y=2x +2
What is The least common denominator of 11/12, 7/9, and 2/3
Answer:
261?
Step-by-step explanation:
LCD = 261
Equivalent Fractions with the LCD
11/29 = 99/261
7/9 = 203/261
2/3 = 174/261
Elizabeth earned $150 a week
tutoring. If he saved $75,
what percent of the money he
earned did he save?
Answer: 50%
Step-by-step explanation:
75:150*100 =
(75*100):150 =
7500:150 = 50
Answer:
50%
Step-by-step explanation:
150-75=75
75 is half of the money he earned and 75 is half he saved.
100 dived by 2 is 50 therefore 50 %
AM I RIGHT? I will mark BRAINLIEST
Answer:
3
Step-by-step explanation:
The scale factor is actually 3 broski
Answer:
no, its 1/3!!
Step-by-step explanation:
27 x 1/3 = 9
21 x 1/3 = 7
n
The Federal Reserve
manages the nation's currency and money supply by
manipulating interest rates and acting as a lender to banks.
overseeing bank collections and payments on loans.
dictating criteria and setting loan terms for banks.
offering investment advice and adjusting interest rates.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Financials.
Hence,according to the statement given above, the correct answer is
option 1.)
===> Manipulating interest rates and acting as a lender to the banks.
Select the correct answer from each drop-down menu.
Brian has started to invest in the stock market. What does he need to know about reporting dividend income on his tax return?
A taxpayer’s dividend income is reported on Form
. The taxpayer must enter this amount in the
section of a tax return. After all deductions have been subtracted, the amount of taxes due will be calculated based on the
.
Im not sure about the second one but the first one is 1099-DIV and the last one is taxable income. I can tell you the second one is NOT deductions haha
Answer:
1099-DIV
Income
Taxable Income
Step-by-step explanation:
Plato
Answer the question plz
Step-by-step explanation:
58 i think....................
Answer:
Ignore my handwriting and your answer is 58;)
Katie got a loan for $10,000. The interest rate is 5%. How much interest will she pay in one year?
Answer: 10,000 x 0.05 = $500
0.05 is equal to 5%
$500
Please brainlyist
un abuelo dijo a su nieto mira que curioso tu edad es la quinta parte de la mia pero también es igual a la tercera parte de mi edad menos diez años ¿cuántos años tiene el nieto y el abuelo?
¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años
Solve the inequality 15t > 180
Answer:
t>12
Step-by-step explanation:
t>180/15
then divide 180 by 15
and you gey t>12
The value of the given inequality is t> 12
What is inequality?inequality, In mathematics, a statement of an order relationship-greater than, greater than or equal to, less than, or less than or equal to-between two relation,
We have,
15t>180
According to the question
15t>180
t>180/15
then divide 180 by 15
and you will get t>12
Hence, the value of this inequality is t>12
To learn more about inequalities here
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Could you help me please? This is a thing for my sons math homework.
Answer:
See below.
Step-by-step explanation:
I've never seen one asked quite this way, but I think I have it figured out.
The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.
I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.
Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.
Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.
Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.
Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.
Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.
Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.
Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.
On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.
Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.
Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.
Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.
For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator
Now we have the fraction of k^12 OVER k^2. In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.
So here is what we get for tic-tac-toe.
0 X X
O X 0
X O X
We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.
This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.
Hope this helps.
Witch triangle o be an acute angle
Answer:
An acute triangle
Step-by-step explanation:
A triangle that is 47°
2) The sum of 5x and 2x is at least 14
A.
5x + 2x > 14
B.
5x + 2x < 14
C.
5x + 2x ≤ 14
D.
5x + 2x ≥ 14
Answer:
b
Step-by-step explanation:
if it is less than 14 then the big side of the arrow would be facing the 14
Answer:
Step-by-step explanation:
5x + 2x > 14= x>2
5x + 2x < 14= x<2
5x + 2x ≤ 14= x≤2
5x + 2x ≥ 14= x≥2
What's 300x490-78+344-23=?
plz help me
Answer:
141,243
Step-by-step explanation:
1. Use PEMDAS
(300)(470) - 78 + 344 - 23 (Do muti first)
141,000 - 78 + 344 - 23 (You can do any order now)
141,243
simplify 6+8/2x{-3}+7
Answer:
6+8/2×-3+7
6+4×4
6+16
22
The table below shows the number of miles Alan biked over time. Alan biked at a constant speed. Find the rate of change.
Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 66% have an emergency locator, whereas 80% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
a) If it has an emergency locator, what is the probability that it will not be discovered?
b) If it does not have an emergency locator, what is the probability that it will be discovered?
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?
Answer:
a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) 0.064 = 6.4% probability that 7 of them are discovered.
Step-by-step explanation:
For itens a and b, we use conditional probability.
For item c, we use the binomial distribution along with the conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a) If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator
Event B: Not located.
Probability of having an emergency locator:
66% of 72%(Are discovered).
20% of 100 - 72 = 28%(not discovered). So
[tex]P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312[/tex]
Probability of having an emergency locator and not being discovered:
20% of 28%. So
[tex]P(A cap B) = 0.2*0.28 = 0.056[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105[/tex]
0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) If it does not have an emergency locator, what is the probability that it will be discovered?
Probability of not having an emergency locator:
0.5312 of having. So
[tex]P(A) = 1 - 0.5312 = 0.4688[/tex]
Probability of not having an emergency locator and being discovered:
34% of 72%. So
[tex]P(A \cap B) = 0.34*0.72 = 0.2448[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522[/tex]
0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?
p is the probability of being discovered with the emergency recorder:
0.5312 probability of having the emergency recorder.
Probability of having the emergency recorder and being located:
66% of 72%. So
[tex]P(A \cap B) = 0.66*0.72 = 0.4752[/tex]
Probability of being discovered, given that it has the emergency recorder:
[tex]p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946[/tex]
This question asks for P(X = 7) when [tex]n = 10[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064[/tex]
0.064 = 6.4% probability that 7 of them are discovered.
88=66+7-5x89 this question makes no scence
Answer:
x = -3/89
Step-by-step explanation:
divide 49 ÷ 8 = and show your work
Answer:
6
Step-by-step explanation:
Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 8 . Subtract 48 from 48 . The result of division of 48÷8 48 ÷ 8 is 6
The required, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
To divide 49 by 8, you can use long division to find the quotient.
Determine how many times the divisor (8) can fit into the new number (49). In this case, 8 goes into 49 six times. Subtract the result (48) from the number you brought down (49). 49 - 48 = 1. Write the result (1) below the line.
6
_______
8 | 49
- 48 (8 times 6)
______
1 (Remaining 1 after subtracting)
Therefore, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
Learn more about divide here:
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Help would be much appreciated
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
Giving brainliest I only have 1 try please give out correct answer:)
when multiplying or dividing by a negative coefficient, you must flip the sign.
•True
or
•False
Answer:
I think the answer is True!
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
a negative times a negative is a positive same with dividing a negative by a negative
a positive times a negative is also negative
What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same
Answer:
gnp would be higher than gdp
The coordinates of one end point of a line segment are ( 2 , 7 ). The line segment is 12 units long. Give three possible coordinates of the line segment’s other end point.
Answer:
12 units up (2, 19) 12 units down (2, -5) 12 units to the right (14,7) 12 units to the left (-10,7) any of these points are answers.
Find the distance between the points (5,-6), (-3,12)
Answer:
[tex]\displaystyle d = 2\sqrt{97}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -6)
Point (-3, 12)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(-8)^2+(18)^2}[/tex][√Radical] Evaluate Exponents: [tex]\displaystyle d = \sqrt{64+324}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{388}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{97}[/tex]