Answer:
after 60 seconds = 1 minute ,they will together for the first time.
Step-by-step explanation:
Three bells toll at an interval of 4,5 and 6 second.
They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)
4 = 2*2
5= 5*1
6 = 2*3
LCM of these three number will be multiple of highest power of each prime number
highest power of 2 in the above problem 2^2
3 = 3
5 = 5
Thus, LCM 2^2 * 3*5 = 60
Thus, after 60 seconds they will together for the first time.
Then they will toll together after each interval of 60 seconds together.
Answer:
20. 8% increase = 108% total
2,550 × 1.08 = 2,754
D. 2,754 square feet
21. 25% off + 10% off = 65% total
239.99 × 0.65 = 155.9935
A. $156
22. Adding a negative number is the same as just subtracting.
D. 14 + (-9)
23. C. There is a change in temperature from -3°F to 3°F
24. C = pi × d
C = pi × 8
C = 25.1327
B. 25.1 units
25. 20 ÷ 4 = 5 pages per hour
25 ÷ 5 = 5 pph
D. Yes, because 20/4 = 25/5
26. A = Pi × r^2
9 ÷ 2 = 4.5
4.5^2 = 20.25
C. 20.25pi square inches
27. 100 ÷ 5 = 20
A. m = 20n
30. 250 + 20 - 270 = 0
A. Deposit $20 in the first week and withdraw $270 in the second week
31. 7.44 ÷ 24 = 0.31
A. C = 0.31b
32. -3(-6b + 5)
-3(-6b) + -3(5)
18b + (-15)
D. 18b - 15
33. -13.74 × 4 = -54.96
A. -54.96 feet
Answer:
Only statement second is correct about the distribution.
Step-by-step explanation:
The stem plot data given to us is;
1 | 9
2 | 5
3 | 4 6 8 8
4 | 0 3 6 7 7
5 | 0 0 1 2
As it is given in the question that 1 | 9 = 19 sit-ups, so the data value are;
19, 25, 34, 36, 38, 38, 40, 43, 46, 47, 47, 50, 50, 51, 52
(a) The first statement that there is one outlier in the distribution is false as there are two outliers in the data (19 and 25) as they are very far from the rest of the data.
(b) The statement that the distribution is skewed left is correct because the tail of the distribution is towards the left.
(c) The statement that the center is around 47 is false as the center or mean of the data is 43 because the middle most data value is 43.
(d) The statement that the distribution is bimodal is false as there are is three modes in the data (38, 47 and 50), so the given distribution is trimodal.
Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~