Answer:
<u>Domain = R - {3/2}</u>
Step-by-step explanation:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0
The given function is :
We need to find the zeros of the denominator
∴ 2x - 3 = 0 ⇒ add 3 to both sides
∴ 2x = 3 ⇒ divide both side by 2
∴ x = 3/2
The domain will be all real number except the zeros of the denominator.
So, Domain = R - {3/2}
Also, see the attached figure that represents the given function.
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑ 
We have to find the values of x for which the series converges.
We know,
∑ 
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ 
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
For more information about convergence of series, visit
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The weight of the full steel bead tire in pounds is 1.76 pounds
The weight of the lighter steel bead tire in pounds is 1.54 pounds.
<h3>What are the weights of the tires?</h3>
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76
The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54
To learn more about division, please check: brainly.com/question/13281206
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Answer:
<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>
Step-by-step explanation:
Givens
- There are 8 golf balls in total.
- There are 2 yellow golf balls out of 8.
The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,
Therefore, there is a 25% chances of receiving a yellow golf ball next time.
