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3 years ago

PROBABILITY : 20 POINTS

Mathematics

2 answers:

iogann1982 [59]3 years ago

7 0

Answer:

The number of balloons needed is 64

Step-by-step explanation:

Let's consider that each balloon has a radius of 3 cm, so the total diameter of a balloon is 6 cm.

The board measures 1 m x 1 m, with that we can calculate how many balloons fits in the left side of the board.

100 cm ÷ 6 cm = 16,66 Total of 16 balloons in one side.

The same applies to the upper side of the boards with 16 balloons as well.

Multiplying both sides we can find the maximum amount of balloons that can be possibly be put on the board.

16 x 16 = 256

Total of 256 balloons covering the entire board.

Considering the theoretical chance of winning being 0.25 which equals to 25% of something to happen, we need to calculate how many balloons would cover 25% of the board, that can be easily calculate in this way:

If 256 balloons is 100%, since it covers the whole board, we can divide it by 100 to get a 1% value and multiply it by 25, and find the number of balloons that will mach the 0.25 probability.

256 ÷ 100 = 2,56 (This is 1%)

2,56 x 25 = 64

64 Is the total amount of balloons necessary to have a 0.25 probability of winning assuming that the darts are thrown randomly.

valina [46]3 years ago

4 0

I believe the answer is 12

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This graph shows transformations between f(x) = 10^x and g(x)= a •10^x

nikklg [1K]

Answer:

When we have a graph of a function y = f(x) = 10^x

A vertical dilation can be made by multiplying the function by a scale factor a.

Then the dilated graph is y = g(x) = a*10^x

This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).

You can look for easy points to see which is the correct graph.

For example, when x = 0, f(0) = 10^0 = 1

and the dilated graph: x = 0, g(0) = a*10^0 = a

So other characteristic of the new graph is that passes trhough the point (0, a)

7 0

3 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Trey deposited 20% of his paycheck in the bank. if he deposited $30 how much was his paycheck

Komok [63]

Answer: 150

Step-by-step explanation: so when you want a whole amount of something you want to the 100% of it because 100% is the whole thing right? Well right now you only have 20% so how much do you need to multiply that by to get 100%?? Well that answer is 5. Okay so now since $30 is 20% but we wanna get it to 100% multiply it by 5 so 30x5 which is 150

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3 years ago

Solve the equation 42=7r r=

Juli2301 [7.4K]

Answer: r=6

Step-by-step explanation:

Because if 42 equals 7 times r you just have to divide 42 by 7.

8 0

3 years ago

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