Area
=3*2/2+6*1/2+3*6/2+(6+7)*6/2
=54
The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
<h3>What is relative frequency?</h3>
The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.
Given information-
The card is selected random from the deck of cards.
Total number of trails is 40.
It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.
As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

In the percentage from,

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.
Learn more about the relative frequency here;
brainly.com/question/26177128
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
75.9375%
Step-by-step explanation:
We apply the simple interest formula;
we first determine the amount of accrued interest to be earned;
interest = 275000 - 32000
= 243000
Applying the simple interest formula;
I believe the answer should be f-there are 3/4 times as many cups of flour as there are cups of sugar