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omeli [17]
2 years ago
13

Penny had a bag of marbles. She gave one-third of them to rebecca, and then one-fourth of the remaining marbles to john. Penny t

hen had 24 marbles left in the bag. How many marbles were in the bag to start with?
Mathematics
2 answers:
atroni [7]2 years ago
3 0

Answer:

48

Step-by-step explanation:

m - (1/3)m - (1/4)(2/3)m = 24

m - (1/3)m - (1/6)m = 24

m - (2/6)m - (1/6)m = 24

m - (3/6)m = 24

m - (1/2)m = 24

(1/2)m = 24

m = 48

Tcecarenko [31]2 years ago
3 0

No of marbles left= 24

No of marbels John got = 24/3= 8

No of marbles John and penny all together had=24+8=32

No of marbles Rebecca got = 16

No of marbles in the beginning = 16 *3 =48

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(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the
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Answer: 0.51

Step-by-step explanation:

This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;

p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))

p = 0.51

4 0
2 years ago
The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled
lawyer [7]

Answer:

Step-by-step explanation:

The key to solving this question is to find the distance bwtween the two points given

distance=y2-y1/x2-x1

(2,4)(4,8)

2=x1,4=y1

4=x2

8=y2

8-4/4-2

4/2=2

The depth of the water is increasing by 2 ft each minute

4 0
2 years ago
in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin
Kay [80]
The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
x=147°
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7 0
2 years ago
This month a band has 6 musicians. This is a 50% increase from the number of musicians in the band last month. How many musician
love history [14]
The answer is 3 musicians
6 0
2 years ago
Read 2 more answers
11. The sales tax rate is 6.9%
Norma-Jean [14]

Answer:

40.1%

Step-by-step explanation:

I am assuming that 192 is in 100%.

100% = 192

I then represent the value that we are looking for with x.

x% = 77

By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

\frac{100}{x} = \frac{77}{192}

Now, of course, we take the reciprocal, or inverse, of both sides:

\frac{x}{100} = \frac{7}{192}

x = 40.1%

Thus making the answer: 40.1% of 192 is 77.

7 0
2 years ago
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