If they are congruent then they are equal
7x-40=4x+32
7x-4x=32+40
3x=72
x=24
Answer:
0.56
Step-by-step explanation:
What is the probability that his mother returns just in time to catch Gabe stealing a cookie?
The probability of this is the same as 1 minus the probability that Gabe is NOT caught.
- Judy could return at anytime in the next 90 seconds
- Gabe spends the first 40 seconds pondering... time wasted=40secs
- It takes 30 seconds (out of the remaining 50secs) to finish eating a cookie without a trace
- The question says that Gabe was going to do it, so he probably did
Now we're looking for the probability that he gets caught. That is, probability that he does not "successfully" complete the 30secs task within the remaining 50secs.
Remember that each second has an equal probability of being the second that Judy comes back in. The latter of the 90 seconds does not carry a higher probability!
So the probability of catching Gabe (despite the 30secs it takes to complete his task) is 50/90 which is equal to 0.56
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
<h3>What are qualitative and quantitative variables?</h3>
- Qualitative variables: Assumes labels or ranks.
- Quantitative variables: Assume numerical values.
In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at brainly.com/question/20598475
Answer:
4,5 (hope it helps)
Step-by-step explanation:
that should be the answer