Answer:
There were 6 benches in park 1 and 18 benches in park 2.
Step-by-step explanation:
Let x be the no of benches in Park 1 and y in park 2.
Given that there are 12 more benches in park 2 than 1
Writing this in equation form, we have y = x+12 ... i
Next is if 2 benches were transferred from park 2 to park 1, then we have
x+2 in park 1 and y-2 in park 2.
Given that y-2 = twice that of x+2
Or y-2 = 2x+4 ... ii
Rewrite by adding 2 to both sides of equation ii.
y = 2x+6 ... iii
i-iii gives 0 = -x+6
Or x =6
Substitute in i, to have y = 6+12 = 18
Verify:
Original benches 6 and 18.
18 = 6+12 hence I condition is satisfied
18-2 = 2(6+2)
II is also satisfied.
Answer:
216 boys
Step-by-step explanation:
450 students: 20% girls, 80% boys
450*20%=90 girls
450*80%=360 boys
Students having mobile phones: 40% (OF THE 90) girls, 60% (OF THE 360) boys
90*40%=36 girls
360*60%=216 boys
[We honestly don't need to care about the girls without mobile phones as they are only asking how many boys have mobile phones]
Answer:
The height of the building is of 244.95 feet.
Step-by-step explanation:
We use the Pythagorean Theorem to solve this question.
We have that:
The shadow of 50 feet is one side of the right triangle, while the height h is other side.
The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.
So
The height of the building is of 244.95 feet.
Median = middle number
Total ten numbers so
median = (17 + b)/2
given median = 18
so
(17 + b)/ 2 = 18
17+b = 36
b = 36 - 17
b = 19
Now you have the data set
7, a , 12, 15 , 17, 19, 20, 22, 24 , 25
Mean = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
Given mean = 17
so
17 = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
17 = (a + 161) / 10
a + 161 = 170
a = 170 - 161
a = 9
answer
a = 9
b = 19
Mean: add all numbers together and divide by the amount of numbers there are.
8 + 9 + 8 + 11 = 36
36/4 = 9
mean = 9
Median: Find the middle number. Since in this case it has an even amount of numbers, add the two middle numbers and divide by 2
8 + 9 = 15
15/2 = 7.5
median = 7.5
Mode: The number that shows up the most
Mode = 8
Range: Subtract the smallest number from the largest number
11 - 8 = 3
Range = 3
hope this helps
