The answer is 2.6 m/s
The speed (v) is distance (d) through time (t).
v = d/t
We know:
d = 390 m
t = 150 s
v = d/t
v = 390 m / 150s
v = = 2.6 m/s
6 / 2 = 3
21 / 7 = 3
Yes, 2/7 and 6/21 are equivalent ratios. The second number is simply the first number tripled.
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
Answer:
Correct answer: (x - 10)² + y² = 441 / 4
Step-by-step explanation:
Given:
(a, b) = (10, 0) the coordinates of the center of the circle
(10, 21/2) circle passing through this point
The standard form of the circle equation is:
(x - a)² + (y - b)² = r² where r is radius of the circle
We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:
(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4
r² = 441 / 4
(x - 10)² + y² = 441 / 4
God is with you!!!
Step-by-step explanation:
since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

So probabaility for
is

So expected frequency for
is
(or
.