Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Answer:
The correct options are 1 and 3.
Step-by-step explanation:
From the given box plot it is clear that


Q₁ is 25% of a data.

Median is 50% of a data.

Q₃ is 75% of a data.

34 is minimum value of the data and 46 is median it means 50% of the data values lies between 34 and 46. Therefore option 1 is correct.
42 is first quartile and and 70 is third quartile. it means 50% of the data values lies between 42 and 70. Therefore option 2 is incorrect.
The difference between Minimum value and first quartile, Maximum value and third quartile is less than 1.5×(IQR), therefore it is unlikely to have any outliers in the data.
Hence option 3 is correct.
The interquartile range of the data is


The interquartile range is 28. Therefore option 4 is incorrect.
Range of the data is


The range is 42. Therefore option 5 is incorrect.
Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,

Multiply 1110 both sides , we get

Hence, there are 30 balls in the bag.
Question:
You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?
Answer: 4 miles
Step-by-step explanation:
Let distance between start to first checkpoint = x
First checkpoint to second checkpoint = 2/5 of x
Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)
Distance of start to checkpoint 2 = (1/4 of start to finish)
If start to checkpoint 2 = 1/4 of start to finish
Then,
Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)
Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish
Entire race = 40 miles = distance from start to finish
1/ 10 of 40
= ( 1/10) × 40
= 4 miles