Answer:
x=50
Step-by-step explanation:
-0.2(x-20)=44-x
Distribute
-0.2x+4=44-x
Add x to each side
-.2x +4+x = 44-x+x
.8x+4 = 44
Subtract 4 from each side
.8x+4-4 = 44-4
.8x = 40
Divide each side by .8
.8x/.8 = 40/.8
x=50
Answer: A) 6250, 2500
<u>Step-by-step explanation:</u>
Factor the numbers. What they have in common is the GCF.
The GCF times everything leftover is the LCM.
6250: 5 × 5 × 5 × 5 × 5 × 2
2500: 5 × 5 × 5 × 5 × 2 × 2
What they have in common is the GCF:
6250: <u>5 × 5 × 5 × 5</u> × 5 × <u>2</u>
2500: <u>5 × 5 × 5 × 5</u> × 2 × <u>2</u>
GCF = 5 × 5 × 5 × 5 × 2 = 1250
GCF times everything leftover is the LCM:
6250: 5 × 5 × 5 × 5 × <u>5</u> × 2
2500: 5 × 5 × 5 × 5 × <u>2</u> × 2
LCM: 1250 × 5 × 2 = 12500
Answer:
Step-by-step explanation:
Given that you choose at random a real number X from the interval [2, 10].
a) Since this is a contnuous interval with all number in between equally likely
E = probability for choosing a real number is U(2,10)
pdf of E is 
b) P(X>5) = 

For

P(X<5 or x>7) = 1-P(5<x<7)
= 