Alternatively, the gcf of 12 and 56 can be found using the prime factorization of 12 and 56:
The prime factorization of 12 is: 2 x 2 x 3.
The prime factorization of 56 is: 2 x 2 x 2 x 7.
The prime factors and multiplicities 12 and 56 have in common are: 2 x 2.
2 x 2 is the gcf of 12 and 56.
gcf(12,56) = 4.
If product of two numbers=384HCF=8,2cm=?
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12
Answer:
13/15 > 4/5 is a true stament.
Step-by-step explanation:
The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.
In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Step-by-step explanation:
From the given information:
We are told that there exist two machines
Machine 1 and Machine 2
Given that machine 1 pays 10% when it is generous, then the probability can be computed as:
P(pays | machine 1 is generous) = 0.10
Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :
P(pays | machine 2 is generous) = 0.20
However, the two machines have an equal chance of being generous.
Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.
i.e.
P( machine 1 is generous) = P( machine 2 is generous) = 0.50
The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.
i.e. P (machine 1 is generous | but lost)
Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.
Therefore, to find the probability that the machine 1 is generous | but lost, we have:
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]
Let:
P(lost | machine 1 is generous) = A
P(machine 1 is generous) = B
P (Pays | machine 1 is generous ) = C
P(Pays | machine 2 is generous ) = D
P(machine 2 is generous) = E
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]
Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294
Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American College of Sports Medicine recommendations for exercise to improve cardiovascular health. Twenty-two adolescents, 10 of whom were classified as overweight and 12 of whom were not overweight, played DDR for 12 minutes. During the 12 minutes, the researchers measured each participant's heart rate. On average, the researchers found no difference between the heart rates of the two groups. Both groups' heart rates were above the minimum recommended for cardiovascular exercise. Which of these requires an inferential statistic?
Answer:
The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.
Step-by-step explanation:
Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations
Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.
Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.
Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).
Answer:
8u
3
+10u
2
y
−
˙
9u
2
y+11uy
2
+
˙
4uy
2
+8y
3
Answer:
[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]
Step-by-step explanation:
You must combine like terms:
[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]
Between which pair of numbers is the of exact product
379 and 8
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
Vickie bought 54 tickets for a ride at an amusement park.each ride cost 3 tickets and Vickie has been on x rides so far.which expression to the number of tickets that Vickie has left?
Answer: 18
Steps: 54/3=18
1 8
3/54
-3
24
-24
0
Bank tellers earn a weekly
salary of $200 plus $10 per
hour worked. Rebecca would
like to work at least 20 hours
each week. Use the graph to
model this scenario. How
much money will Rebecca
earn working at least 20
hours each week?
Answer:
2000 dollars
Step-by-step explanation:
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls I WILLLL GIVVVE BRAINLIEST!!!!!
Answer:
3(x-2)+6=6x-9
[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]
Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
6 1/2 divided 3/8 of goldfish crackers
Answer:
I think it is 8
Step-by-step explanation:
6 1/2 divided by 3/8 = 8
hope this helped
Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.
Let n = a number. Choose the inequality that represents the given relationship.
Answer:
D on edge
3(n – 2) ≥ 5n
Step-by-step explanation:
the next question's answer is B
Two lines in the same plane that do not intersect are.
A.line segment
B.perpendicular
C.parallel
D.midpoint
Which graphed matches the equation y+ 6 =
5 = 2 x + 4)?
the range of absolute value
of sinx
9514 1404 393
Answer:
[0, 1]
Step-by-step explanation:
The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.
In interval form, the range of sin(x) is [0, 1].
PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75
Find the square root of -90
Answer:
Negative numbers cannot have square roots.
Step-by-step explanation:
Anything multiplied by itself will always equal a positive number, not negative.
Which angle are vertical to each other
Which expression is equivalent to i233?
Answer:
radical sign of -233
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to find the value of the expression i^{233}i
233
We know that the below values.
i
2
=−1
i
4
=1
Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i
4
i^{233}=(i^4)^{58}
233
=(i
4
)
58
⋅i
Now, we know that i^4=1i
4
=1
Hence, we have
i^{233}=(1)^{58}
233
=(1)
58
⋅i
i^{233}=
233
=1⋅i
i^{233}=ii
233
=i
Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest
Number of business partners who started a business = 3
The total money they invested = 1200000
The ratio in which they invested = 2 : 5 : 3
Total number of parts = 2 + 5 + 3 = 10
Each part = 1200000 ÷ 10
Each part = 120000
Number of parts invested by one of the partners = 2
Money they invested = 120000 × 2
Money they invested = 240000
Number of parts invested by another partner = 5
Money another partner invested = 120000 × 5
Money they invested = 600000
Number of parts invested by the third partner = 3
Money invested by the last partner = 120000 × 3
Money they invested = 360000
Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .
4. What is the equation of the line?
Answer: y= -1/2x + 1
Step-by-step explanation:
The equation will be represented in slope intercept form because the line is not going through the origin.
Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.
The points (0,1) and (2,0) will be used to find the slope because it is on the line.
The slope will be the difference between the y coordinates divided by the difference of the x coordinates.
1- 0 = 1
0 - 3 = -2
Slope: -1/2
The equation will be y= -1/2x + 1
123.456 RONDED TO THE NEAREST HUNDREDTH.
123.456 RONDED TO THE NEAREST HUNDREDTH.
Answer:
123.46
Answer:
123.46 is probably the answer
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container?
Answer:There are 4 serving in the container.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Took Edge 2020 Fraction Multiplication and Division Test
Over the past few years, there has been a strong positive correlation between the annual consumption of diet soda drinks and the number of traffic accidents.
(a) Do you think increasing consumption of diet soda drinks causes traffic accidents? Explain your answer.
No. A strong correlation implies causation.
No. A strong correlation does not imply causation.
Yes. A strong correlation does not imply causation.
Yes. A strong correlation implies causation.
(b) What lurking variables might be causing the increase in one or both of the variables? Explain your answer.
Answer:No. A strong correlation does not imply causation.
Step-by-step explanation:
Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.
Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.
A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.
Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.
Three people are traveling and need to exchange the currency of their native country
for the currency of the country they are visiting. Drag each exchange to the category
that shows the ratio of currencies in that exchange.
CLEAR
U.S. Currency Foreign
(in dollars) Currency
25.00
15.75
U.S. Currency
(in dollars)
73.00
Foreign
Currency
81.03
U.S. Currency
(in fllars)
20.00
Foreign
Currency
22.20
U.S. Currency Foreign
(in dollars) Currency
30.00 21.90
U.S. Currency
in dollars)
50.00
Foreign
Currency
36.50
1 U.S. dollar per 1.11
72 dollar
Australian dollar
tban
Answer:
Step-by-step explanation:
1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency
i. U.S. Currency (in dollars) = 73.00
Foreign currency = 81.03
ii. U.S. Currency (in dollars) = 20.00
Foreign currency = 22.20
2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency
i. U.S. Currency (in dollars) = 30.00
Foreign currency = 21.90
ii. U.S. Currency (in dollars) = 50.00
Foreign currency = 36.50
3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency
i. U.S. Currency (in dollars) = 25.00
Foreign currency = 15.75
4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar
i. U.S. Currency (in dollars) = 72.00
Equivalent Australian dollar = 72.00 x 1.11 = 79.92
Answer:
?
Step-by-step explanation:
Hannah invested $35,000 in a mutual fund that earns 6% interest per year compounded annually. To the nearest dollar, how much was her investment worth after 3 years?
Answer:
the answer is 41,685.56 but rounded to the nearest dollar is 41,686
Step-by-step explanation:
hope this helps
PLSSSS PLSSS HELPPPP MEEEEE ASAPPPPP I WILLLLL GIVE BRAINLIEST!!!!!!!
Answer:
40 ft
Step-by-step explanation:
Which shows another way to write 9.54?
O 0.5 + 0.04
O 9+ 0.4 + 0.05
O (9 * 1) + (5 x 0.1) + (4 x 0.01)
O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)
Answer:
It would be C
Step-by-step explanation:
please help! :( i dont understand