Hello there.

You want to help make snow cones at your school fair. Each paper cone has a radius of 4.5 centimeters. The height of one cone is 8.3 centimeters. What is the volume of one cone? Use 3.14
176.01

3 0

2 years ago

Prove that using: X ∩ (Y ∪ Z ) =(X∩Y) ∪ (Y ∩ Z )

sertanlavr [38]

There should be a typo in the question: the correct formula would be

$X\cap(Y\cup Z)=(X\cap Y)\cup (X\cap Z)$

Let's compute $X\cap (Y\cup Z)$ first. We have

$(Y\cup Z)=\{1, 4, 5, 6, 7, 8, 9\}$

If we intersect this set with X, we have

$X\cap (Y\cup Z) = \{5, 8, 9\}$

So, that would be the left hand side. For the right hand side, we have

$X\cap Y = \{8\},\quad X\cap Z = \{5,9\}$

And their union is again $\{5,8,9\}$

5 0

2 years ago

A spinner of 10 divisions, numbered from 1 to 10, is spun and two coins are tossed. What is the probability to land on a prime n

pogonyaev

Answer:

1/10

Step-by-step explanation:

There are 4 prime numbers from 1 to 10 (2,3,5,7). This makes the probability of getting a prime number as 4/10 = 2/5.

The probability of getting one tail is 1/2, making the proability of getting 2 to be (1/2)^2 = 1/4.

Multiply both probabilities together, and you get 2/5 * 1/4 = 1/10

6 0

3 years ago