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Kipish
9 days ago
9

A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what

is the probability that emily will get different-colored socks?
Mathematics
1 answer:
zzz [9K]9 days ago
8 0
Tan socks = 4
Grey socks = 7
Total socks = 4 + 7 = 11 socks
Probability of drawing a tan sock followed by a grey sock:
P(T)*P(G) = (4/11)*(7/10) = 28/110

Probability of selecting a grey sock followed by a tan sock
P(G)*P(T) = (7/11)*(4/10) = 28/110

Probability of obtaining two differently colored socks
P(T&G)+P(G&T) = (28/110)+(28/110) = 56/110
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Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
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Answer:

1. The average speed of Tracie's bus as it heads home is \frac{1}{2} miles for each minute.

Step-by-step explanation:

The graph indicates that,

the horizontal axis displays time in minutes, while the vertical axis denotes the distance remaining to home in miles.

Moreover, the function's graph descends by 1 mile every 2 minutes.

This means that, as time progresses, the distance from home reduces.

In essence, the bus is moving nearer to Tracie's residence.

Additionally, since the distance shrinks by 1 mile for every 2 minutes elapsed,

the rate of decline is calculated to be \frac{1}{2} miles per minute.

<pFurthermore, Speed=\frac{Distance}{Time}

The slope signifies the speed of the bus as it moves towards home.

This concludes that 'Tracie's bus travels towards her home at an average speed of \frac{1}{2} miles per minute.'

4 0
1 month ago
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In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean th
PIT_PIT [9101]

In the context of overdue accounts, event A signifies accounts that are overdue by 31 to 60 days, whereas event B relates to accounts belonging to new customers. The complement of A involves

accounts that are overdue by either less than 31 days or more than 60 days.

6 0
20 days ago
You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? af
Zina [9157]

Answer:

The final result is $88

Step-by-step explanation:

The Math.random () method produces a floating-point, pseudo-random number ranging from 0 to 1 (including 0 but excluding 1), which is distributed fairly evenly within that interval — allowing you to scale it to fit your preferred range.

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20 days ago
The weight, w, in tons of a school bus is related linearly to its seating capacity, p. a 60-passenger bus weighs 10 tons, and an
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A linear equation representing the relationship between two entities can be expressed as:
                                    y = ax + b
Here, x denotes the number of passengers while y represents the weight (in tons). Based on the initial two scenarios,
                                    10 = 60(a) + b
                                     13 = 84(a) + b
The calculated values for a and b are 0.125 and 2.5 respectively.
For a bus designed for 50 passengers,
                                    y = (50)(0.125) + 2.5
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7 0
17 days ago
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Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
AnnZ [9071]

Answer: The coordinates of point T are (13, -6).

Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),

we need to determine the coordinates of point T.

The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).

Let T be (h, k). According to the problem:

\left(\dfrac{-9+h}{2},\dfrac{4+k}{2}\right)=(2,-1)\\\\\\\Rightarrow \dfrac{-9+h}{2}=2\\\\\Rightarrow -9+h=4\\\\\Rightarrow h=4+9\\\\\Rightarrow h=13

\dfrac{4+k}{2}=-1\\\\\Rightarrow 4+k=-2\\\\\Rightarrow k=-2-4\\\\\Rightarrow k=-6.

Solving these equations yields T at (13, -6).

So, the required coordinates for point T are (13, -6).

6 0
1 month ago
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