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bekas [8.4K]
2 years ago
10

There are 9 slips of paper in a hat, each with a number from 1 to 9. The numbers correspond to a group of students who must answ

er a question when the number of their group is drawn. Each time a number is drawn, the number is put back in the hat. What is the probability that the first five numbers drawn will be 1,2,3,4,5 in that order?
Mathematics
1 answer:
harina [27]2 years ago
4 0

Answer:

Step-by-step explanation:

Remark

There is only 1 way that you can get 1 2 3 4 5 in that order.

There are many possibilities of drawing 5 numbers from a total of 9 possible ones.

Total number of drawing 5 numbers.

Total = 9 * 9 * 9 * 9 * 9

Total = 59049

So putting the two facts together you get

Chance of getting (1 2 3 4 5)  = 1/59049

Answer: .000016935

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The odometer of the family car shows 15,951 miles. The driver noticed that this number is palindromic: it reads the same backwar
ludmilkaskok [199]
The next palindromic number is 16061, so he traveled 110 miles. 110 miles/2 hours = 55 mph.
5 0
4 years ago
C ( , )D ( , ) E ( , ) F ( , )
Alex777 [14]

As shown in the question, the translation changes the points as follows:

(x,y)\rightarrow(x+2,y-2)

Therefore:

\begin{gathered} C(-5,-1)\rightarrow C^{\prime}(-3,-3) \\ D(-4,3)\rightarrow D^{\prime}(-2,1) \\ E(-3,2)\rightarrow E^{\prime}(-1,0) \\ F(-2,0)\rightarrow F^{\prime}(0,-2) \end{gathered}

8 0
1 year ago
What are the first and last terms of this geometric series
11Alexandr11 [23.1K]
ANSWER

E. 10 and 640


EXPLANATION


The given series is

\sum_{i=1}^45 \times 2^{2i-1}


To find the first term of the series we substitute i=1 to get,


a_1 = 5 \times  {2}^{2 \times 1 - 1}


a_1 = 5 \times  {2}^{ 1}  = 10



For the last term of the series, we substitute i=4 to obtain,

a_4 = 5 \times  {2}^{2 \times 4 - 1}


a_4 = 5 \times  {2}^{7}



This implies that,


a_4 = 5 \times  128 = 640


Therefore the correct answer is E
7 0
3 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

4 0
3 years ago
10/n = 18/27 what is n?
sergiy2304 [10]
N = 10*27 / 87 =  270/18 = 15

3 0
3 years ago
Read 2 more answers
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