Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x =
[ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>
=>
( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet
What grade are you?
i can hopple u
Recall the formula for area of a rectangle
A = LW
A = area of rectangle
L = length of rectangle = 6
W = width of rectangle
Also, recall the formula for Perimeter of a rectangle
P = 2L + 2W
P = perimeter of rectangle = 20
We have L=6 and P=20. Use these to solve for W in the perimeter formula.
P = 2L + 2W
20 = 2(6) + 2W
20 = 12 + 2W
8 = 2W
4 = W
Thus, L = 6 and W = 4. Use these measurements to solve for A.
A = LW = 6 * 4 = 24 in^2
The correct is the second one
Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;

Where:
= Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;

Therefore;

= 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.