Answer:
Step-by-step explanation:
<u>Is this equation written correctly?:</u>
<u></u>
v(x)=12-2x-5.8
v(x) = -2x+6.2
v(-2) = -2(-2)+6.2
<u>v(-2) = 2.3</u>
v(0) = -2(0)+6.2
<u>v(0) = 6.2</u>
v(-5) = -2(-5)+6.2
v(-5) = 10+6.2
v(-5) = 16.2
Using the hypergeometric distribution, there is a 0.4894 = 48.94% probability of selecting none of the correct six integers in a lottery.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we want to take 6 numbers from a set of 56, hence the values of the parameters are:
N = 56, k = 6, n = 6.
The probability of selecting none of the correct six integers in a lottery is of P(X = 0), hence:
0.4894 = 48.94% probability of selecting none of the correct six integers in a lottery.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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20 and 40.
20 + 40 + 40 = 100
Answer:
The town recreation department ordered 66 baseballs and 24 bats.
Step-by-step explanation:
Let the number of baseball be 'x'.
Also Let the number of bats be 'y'.
Given:
Total items bought = 100
Now we can say that;
Total items bought is equal to sum of number of baseball and number of bats.
Framing in equation form we get;
Also Given:
Cost of each baseball = $4.50
Cost of each bat = $20
Total purchase = $822
Now we can say that;
Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.
framing in equation form we get;
Multiplying equation 1 by 4.5 we get;
Now Subtracting equation 3 from equation 2 we get;
Dividing both side by 15.5 we get;
Substituting the value of y in equation 1 we get;
Hence the town recreation department ordered 66 baseballs and 24 bats.
The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 =
∵ ÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴
- Round it to the nearest hundredth
∴
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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