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3 years ago

Is the following number rational or irrational 0.5555?

Mathematics

1 answer:

4vir4ik [10]3 years ago

4 0

Answer:

Simple.

The decimal 0.5555 is a rational number. It's a terminating decimal, since it doesn't end with an ellipsis.

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What is the smallest integer that is 100 times the sum of its digits?

Ilya [14]

Answer would be 100 as 100 = ( 1 + 0 + 0 ) × 100.

Hope it helped !

Thanks !

4 0

3 years ago

Suppose two events A and B are mutually exclusive, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you'll se

DanielleElmas [232]

Answer with Step-by-step explanation:

We are given that two events A and B are mutually exclusive.

$A\cap B=\phi$

$P(A\cap B)=0$

$P(A)\neq 0$

$P(B)\neq 0$

a.For mutually exclusive events,

$P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{P(A)}=0$

Therefore, event A can not occurred if event B has occurred because two events can not occur together.

Answer:No, by definition mutually exclusive events cannot occur together.

b.When two events are independent

Then , $P(A\cap B)=P(A)\cdot P(B)$

$P(A/B)=\frac{P(A)\cdot P(B)}{P(B)}=P(A)$

If two events are mutually exclusive then

$P(A\cap B)=0$

Then , $P(A/B)=0$

Therefore, $P(A/B)\neq P(A)$

Hence, we can concluded that events A and B are not independent if they are mutually exclusive.

Answer:Yes, $P(A/B)\neq P(A)$

7 0

2 years ago

Find the distance between -6 and 8

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

6+8=14

8 0

2 years ago

Read 2 more answers

Need help with number 9

beks73 [17]

Step-by-step explanation:

v=6t-6

integrating

s= 3t^2 -6t +k

5=3(1)^2 -6(1) +k

5-3+6=k

k=8

s(t) = 3t^2 -6t +8

7 0

2 years ago

Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. W

choli [55]

Answer: $15.21

Step-by-step explanation:

Given

Joe's lunch cost $13.00 without tax

He tipped the waiter with 17% of bill without tax

So, the amount of tip is

$\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21$

Total amount that food costs without tax is

$\Rightarrow 13+2.21\\\Rightarrow \$15.21$

7 0

2 years ago