×/2=y/3; y/4=z/4 và x+2y-z=10

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i

cupoosta [38]

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,

$f_r=\dfrac{11}{40}\\f_r=0.3$

In the percentage from,

$f_r={0.3}\times100\\f_r=30$

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

5 0

2 years ago

Find the volume.<br> 9 in<br> 4 in

belka [17]

Answer:

20

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Amy's mother ordered a pizza to be delivered to their home. The bill for the pizza was $18. She gave the delivery man a 15% tip.

geniusboy [140]

18x.15=2.70
2.70+18=$20.70

6 0

3 years ago

Read 2 more answers

In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

const2013 [10]

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

7 0

3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle