Answer:
6.40
Step-by-step explanation:
The formula is ¹⁵C₇. Then the number of ways to choose a group of 7 from a group of 15 will be 6435.
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Then the number of ways to choose a group of 7 from a group of 15 will be given by the combination formula.
Then we have
Number of ways = ¹⁵C₇
Number of ways = 6435
More about the permutation and the combination link is given below.
#SPJ2
Both 180 seconds or 3 minutes are equal.
The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have two times,
180 seconds and 3 minutes.
180 seconds in minutes,
= 180/60
= 3 minutes.
Therefore, both are the same.
To learn more about the division;
#SPJ2
Answer:
Step-by-step explanation:
To find a quadrant, take the 2 equations and add them together for both x and y. The resulting point's quadrant is the solution.
2x-4=0
add 4 to each side
2x=4
divide by 2
x=2
2-y=0
add 2
y=2
(2,2)
point (2,2) lies in quadrant 1
PLEASE MARK BRAINLIEST
Part B) Is it possible for you to have driven 160 miles?
Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!
Thank you!
In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.
Part A:
Let t represent the number of hours you drive and d represent the distance you drive.
The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.
The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.
Part B:
No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:
d ≤ 55t
d ≤ 55(3)
d ≤ 165
Since 160 is greater than 165, it is not within the range of possible distances you can drive.
#SPJ11
The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.
Part A:
To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.
The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.
Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.
Combining these two inequalities, we have: t ≤ 3 and d = t × 55.
Part B:
To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.
Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.
#SPJ3