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eimsori [14]
4 years ago
15

A basket contains 8 pieces of fruit: 3 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket,

and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
Mathematics
2 answers:
Step2247 [10]4 years ago
6 0

Answer:

\frac{9}{56} =16.07%

Step-by-step explanation:

To solve this you have to remember that probability is calculated by the next formula:

Probability=\frac{Desired.outcomes}{Possible.outcomes}

You can calculate the probability of two consequent events by multiplying the probability of each one occuring.

So the first one, you have 8 apple sin the basket and 3 of them are oranges, Jonas has to take out 3 out of 8.

Jonas=\frac{Desired.outcomes}{Possible.outcomes}\\Jonas=\frac{3}{8}

Now there are only 7 fruits in the basket, 3 of them are apples, this means that Beth would have to take out 3 out of 7

Beth=\frac{Desired.outcomes}{Possible.outcomes}\\Beth=\frac{3}{7}

Now we just have to multiply both probabilities:

Combined probablilty=(\frac{3}{8}) (\frac{3}{7} )\\Combined probablilty=(\frac{3*3}{8*7})\\Combined probablilty=(\frac{9}{56})

So the answer would be that there is a \frac{9}{56} probability that Jonas and Beth will get an orange and then an apple, when taking fruit out of the basket.

kodGreya [7K]4 years ago
4 0

As the basket contains 8 pieces of fruits of which 3 are oranges,

the probability that Jonas will get an orange is <span>3/8</span>.

Considering Jonas has already got an orange, as 7 fruits are left of which 3 are apple, probability that Beth will get an apple will be <span>3/7</span>.

Hence the probability that Jonas will get an orange and Beth will get an apple is 3/8*3/7=9/56

Answer: 9/56

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How do I solve 18=6(2x-8)
lisabon 2012 [21]

Answer:

x=11/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Estimate the sum 8/10 + 1/9
RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

10

+ 1/

9

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

90

+ 10/

90

= 72 + 10/

90

= 82/

90

= 2 · 41/

2 · 45

= 41/

45

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

45

.

In other words - eight tenths plus one ninth = forty-one forty-fifths.

8 0
3 years ago
Someone help me please. I don't just want the answer, I need an explanation on how it's done too.​
NARA [144]

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

4 0
3 years ago
Which linear inequality is represented by the graph?
stich3 [128]

The linear equality y < 3x + 2 is represented by the graph attached.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An inequality is the non equal comparison of two or more numbers and variables.

The linear equality y < 3x + 2 is represented by the graph attached.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Can someone pls show how to do this is with explanation
Keith_Richards [23]
1m = 100 cm
0.05 m = 5cm
1 km = 10000 cm
0.00005 km = 5 cm
Yes they are equal

(Mark me the brainliest if this has helped!)
4 0
3 years ago
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