Answer:
<h2>The answer is 8</h2>
Step-by-step explanation:
From the question the formula for the sequence is
where
n is the nth term in the sequence
Since we are finding the 4th term n = 4
Substitute this value of n into the above formula
That's
We have the final answer as
<h3>8</h3>
Hope this helps you
Answer:
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Step-by-step explanation:
Given that
Mean = μ = 15 points
SD = σ = 3 points
For calculating probability for a data point, first of all we have to calculate the z-score of the value.
We have to find the probability of score greater than 24, then the z-score of 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3
So,
Converting into percentage
0.0013 * 100 = 0.13%
Hence,
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Answer:
The 95% confidence interval is (-0.2451, 06912)
Step-by-step explanation:
From the question, we have;
The number of small cars in the sample of small cars, n₁ = 12
The number of small cars that were totaled, x = 8
The number of large cars in the sample of small cars, n₂ = 15
The number of large cars that were totaled, y = 5
Therefore, the proportion of small cars that were totaled, pX = x/n₁
∴ pX = 8/12 = 2/3
The proportion of large cars that were totaled, pY = y/n₁
∴ pY = 5/15 = 1/3
The 95% confidence interval for the difference pX - pY is given as follows;
Therefore, we have;
The 95% confidence interval, CI = (-0.2451, 06912)
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
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Explanation:
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To represent 3 (three consecutive odd integers):
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Let "x" be the first odd integer.
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Let "(x+2)" be next consecutive odd integer.
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Let "(x+4") be the third odd integer.
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The sum of these three consecutive odd integers:
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x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
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Six ("6") times the sum of these 3 (three) consecutive odd integers =
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6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
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Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1";
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{6(3x + 6) } / 6 = -18 / 6 ; to get:
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3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
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3x + 6 - 6 = -3 - 6 ; to get:
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3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
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3x / 3 = -9 / 3 ; x = - 3 ;
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Remember, from above:
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Let "x" be the first odd integer. We know that "x = -3".
Is this an odd integer? Yes!
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Let "(x+2)" be next consecutive odd integer. So (x+2) = (-3+2) = -1.
Is this an odd integer? Yes! Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
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Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
Is this an odd integer? Yes! Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
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So, our 3 (three) consecutive odd integers are: -3, -1, 1.
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To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?
The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.
6 * -3 = ? -18? Yes!
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