A survey was done that asked people to indicate whether they preferred to ride a street bike or a mountain bike.
2 answers:
Answer : option d
The results of the survey are shown in the two-way table.
To determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike, we look at the data given for mountain bike that is over 30 years old
Over 30 years old, mountain bike is 26
Now we add all the data given in the table and divide 26 by total to get relative frequency
58 + 164 + 216 + 26 = 463
Relative frequency (over 30 years 0ld ) =
So answer is divide 26 by 463
Answer:
The correct option is d) Divide 26 by 463
Step-by-step explanation:
Let's start defining what is relative frequency.
We can define the relative frequency of an event as the number of times that the event occurs during experiment trials, divided by the total number of trials conducted.
If Amjed wants to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike, he must divide the number of persons over 30 years old who prefers to ride a mountain bike by the number of persons in the experiment.
The number of persons over 30 years who prefers to ride a mountain bike is 26 (This data is on the two-way table). Now, the number of persons who take the experiment is the sum of all the values in the two-way table :
Finally, if we divide this two numbers we will obtain the relative frequency that Amjed wants ⇒
≅ 0.056
The correct option is ''Divide 26 by 463''
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<h2>Steps:</h2>
So for this, we will be doing a system of equations. Using the info from our question, our two equations are:
(let x = greater number and y = lesser number)
Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:
From here we can solve for y. Firstly, combine like terms:
Next, subtract 4y on both sides of the equation:
Next, multiply both sides by -1:
Now that we know the value of y, substitute it into either equation to solve for x:
In short, <u>5 is the lesser number and 19 is the greater number.</u>
Answer:
0.91854
Step-by-step explanation:
Given that a company is interested in evaluating its current inspection procedure on large shipments of identical items.
The procedure is to take a sample of 5 items and pass the shipment if no more than 1 item is found to be defective.
It is known that items are defective at a 10% rate overall.
If X is the number of defectives in the sample of 5, we find that X has two outcomes and each trial is independent of the other
So X is binomial with n =5, and p = 0.10
the probability that the inspection procedure will pass the shipment
=