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4 years ago

Michelle scored 30 points making 13 shots from the floor in a basketball game. How many 2 and 3 pointers did she make?

Mathematics

2 answers:

olchik [2.2K]4 years ago

8 0

I believe 4 three pointers and 6 2 pointers.

Elena L [17]4 years ago

6 0

9 two pointers
4 three pointers

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The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacemen

mamaluj [8]

<h2>Answer:</h2>

(a)

The probability is : 1/2

(b)

The probability is : 1/2

<h2>Step-by-step explanation:</h2>

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2) (1,3) (1,4) (1,5)

(2,1) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,5)

(5,1) (5,2) (5,3) (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

We know that it could be calculated by using the formula:

$P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is: (4,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( since, the only outcome out of 20 outcomes is: (3,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

7 0

3 years ago

A dolphin is 13 feet below sea level. A seagull is 3 feet above sea level.

Wittaler [7]

So integers are ...-5 -4 -3 -2 -1 0 1 2 3 4 5 6...

The answer would be -13 & 3

6 0

3 years ago

Suppose that one state’s license plates consist of 1 digit followed by 4 letters followed by 2 digits. How many such plates can

Korolek [52]

Answer:

The state can issue 456,976,000 license plates.

Step-by-step explanation:

For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.

For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.

For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:

$\frac{10}$ $\frac{26}$ $\frac{26}$ $\frac{26}$ $\frac{26}$ $\frac{10}$ $\frac{10}$

= 10*26*26*26*26*10*10

=456,976,000.

Therefore, the state can issue 456,976,000 license plates.

7 0

3 years ago

Type the integer that makes the following subtraction sentence true:<br> -57 - ? = -151

posledela

Answer:

Step-by-step explanation:

Its pretty simple,

The easiest way to find the missing number is to do 151-57, which = 94

8 0

3 years ago

Work out the value of x

timama [110]

Answer:

a=21

b=70

Hope it helps

4 0

3 years ago