Answer:
The best estimate is 32 out of 32 times, she will be early to class
Step-by-step explanation:
The probability of being early is 99% = 99/100 = 0.99
So out of 32 classes, the best estimate for the number of times she will be early to class will be;
0.99 * 32 = 31.68
To the nearest integer = 32
Given:
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.
To find:
The constant of proportionality
Solution:
We have,
...(i)
where P is the price and n is the number of bananas.
Price P is directly proportional to the number of bananas. So,

...(ii)
Where, k is the constant of proportionality.
On comparing (i) and (ii), we get

Therefore, the constant of proportionality is 0.25.
Answer:
Step-by-step explanation:
A =
h = 10 cm , b = 17 cm
A = 10 × 17 ÷ 2 = 85 cm²
The area covered by the canal in 30 mins is 562500 sq m
Step-by-step explanation:
Step 1 :
Given,
The canal's width = 6 meter
The canal's Depth is given as 1.5 meter
Speed of the water flowing = 10 kilometer per hour
We need to determine the area which will be irrigated in 30 mins
Step 2 :
In one hour the canal flows 10 kilometer , therefore in 30 minutes it covers 5 kilometer = 5 ×
meter
Hence the volume of the water irrigated per 30 minutes = 6 × 1.5 × 5 ×
= 45 ×
cubic meter
The standing water is 8 centimeter = 8 ×
meter
Hence the area covered in 30 min = Volume ÷ the height of the standing water
= (45 ×
) ÷ 8 ×
meter
= 562500 square meter
Step 3 :
The area covered by the canal in 30 mins is 562500 square meter