Answer:
7
Step-by-step explanation:
the median is the number in the middle of a sorted array
here it has 10 numbers, so the median will be the average of the 5th and the 6th number
the 5th number is 7 and the 6th number is 7
the average is (7+7)/2 = 7
so the median is 7
The mean of a set of numbers is the average of the set. To find the mean we must add all the numbers in the set together and divide the sum by how many numbers there are in the set.
95 + 78 + 84 + 86 + 89 + 64 = 496
499 / 6 = 82.67
The mean is 82.67.
The mode of a set of numbers is a number that shows up the most in the set. All the numbers in this set appear once, so, there is no mode.
The median of a set of numbers is the number that is in the very middle of the set. Since the middle has two numbers in it we will find the mean of the two of them.
84 + 86 = 170
170 / 2 = 85
85 is median.
To find the range we need to subtract the smallest number by the largest number.
95 - 64 = 31
31 is the range.
I hope this helps. :)
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate <em>y</em>
5y = 20
y = 4
Step 6: Find <em>x</em>
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
n=0
Step-by-step explanation:
Let's solve your equation step-by-step.
3(−10n+9)−3(1+8n)=24
Step 1: Simplify both sides of the equation.
3(−10n+9)−3(1+8n)=24
(3)(−10n)+(3)(9)+(−3)(1)+(−3)(8n)=24(Distribute)
−30n+27+−3+−24n=24
(−30n+−24n)+(27+−3)=24(Combine Like Terms)
−54n+24=24
−54n+24=24
Step 2: Subtract 24 from both sides.
−54n+24−24=24−24
−54n=0
Step 3: Divide both sides by -54.
−54n/-54=0/−54
n=0
Answer:
n=0
Part A: What does the x-intercept of the function for car 1 represent? (2 points)
For this case, the intersection with the x axis means that car 1 has reached its destination. He traveled 70 km in 70 minutes.
Part B: What does the y-intercept of the function for car 2 represent? (2 points)
For this case, the intersection with the Y axis represents that car 2 must travel 70 km to reach its destination and that it has not yet started its journey.
Part C: What is the domain of the functions for car 1 and car 2? (2 points)
car1:
The domain of the function for this car are all x that range from 0 to 70. Mathematically it can be written as [0, 70].
car 2:
The domain of the function for this car are all x that go from 0 to more infinity. Mathematically it can be written as [0, inf)
Part D: What is the average rate of change from x = 30 to x = 40 for the function representing the motion for car 2? What is the value of this average rate of change?
For the domain between x = 30 and x = 40 the rate of change of the function of the car 2 is 34.69144.
This means that car 2 travels 34.69144 km approximately in 10 minutes. As the slope is negative, then the car is getting closer to its destination.