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Andrej [43]
3 years ago
10

There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocol

ate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

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Which set of numbers could be the length of the sides of a triangle?
Vladimir [108]

Answer:

the answer would be 3,3,7

Step-by-step explanation:

because to of the sides will be the same and one will be different

5 0
3 years ago
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Which one is greater 5 or 1.5
Andrew [12]

Answer:

5

Step-by-step explanation:

5 is greater than 1.5 by 3.5

5 - 1.5 = 3.5

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8 0
3 years ago
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One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for
EastWind [94]

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

 10m + 6v = 60

-<u> 2m + 6v = 42</u>

 <u>  8m     =     18</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

5 0
3 years ago
Please help me out!!!!!
notka56 [123]

Answer: D

Step-by-step explanation:

all possible rational zeros are the factors of the last term divided by the coefficient of the first term

so it's (±1, ±3, ±9) / (±1, ±2)

(±1, ±3, ±9) / ±1 = ±1, ±3, ±9

(±1, ±3, ±9) / ±2 = ±1/2, ±3/2, ±9/2

--> ±1, ±3, ±9, ±1/2, ±3/2, ±9/2

8 0
3 years ago
A construction firm is trying to decide which of two models of a crane to purchase. Model A costs $90,000 and requires $4,000 pe
liraira [26]
Let's say hmm let's use the figures in thousands, so
model A costs 90 + 4 per year, so... ok.. after "t" years, then the cost for model A is then 90 + 4*t, or A = 90 + 4t.

now, model B is 70 + 10 per year, so,... after "t" years, model B is then
B = 70 + 10 * t, or B = 70 + 10t.

if we were to assume A < B, namely the cost of A is less than B, what would the years be? namely, what's "t"?

\bf A\ \textless \ B\implies 90+4t \ \textless \  70 + 10t\implies 90-70 \ \textless \  10t-4t&#10;\\\\\\&#10;20 \ \textless \  6t\implies \cfrac{20}{6}\ \textless \ t\implies \cfrac{10}{3}\ \textless \ t\implies 3\frac{1}{3}\ \textless \ t&#10;\\\\\\&#10;\textit{3 years and }\frac{1}{3}\textit{ or \underline{3 years and 4 months}}

after that period, then A becomes cheaper than B.
8 0
3 years ago
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