Answer:
Part 1: 30.42
Part 2: 33.598 (33.6)
Step-by-step explanation:
Part 1:
First you're going to start by subtracting 142 from 360 to get 218
Then you're going to divide 218 by 360 to get a rounded .61
Then you're going to multiply that by pi (3.14)
.61 x 3.14 = 1.9
Then you're going to square 4
4 x 4 = 16
Then multiply 1.9 x 16
Your answer should be 30.42
<u>Part 2: </u>
<u>Since it gives you the measurment you need, you're going to skip the subtracting and just divide 107 by 360</u>
<u>This gives you .3 (rounded)</u>
<u>Multiply by pi</u>
<u>.3 x 3.14 = .94</u>
<u>multiply by square of 6 (36)</u>
<u>.94 x 36 = 33.84</u>
<u>if you shove it all into a calculator without rounding inbetween at all you get 33.59</u>
(79 + 93 + 91 + 68 + x) / 5 = 80
(331 + x) / 5 = 80.....multiply both sides by 5
331 + x = 80 * 5
331 + x = 400
x = 400 - 331
x = 69 <=== he would have to make at least a 69
Its the additive identity prosulate
The man invested 1/5 of the money at 4/100. Which says he earns 4/500 of his total money on one month.
He also invested 1/2 of the money at 5/100. Which means he earns 5/200 of his total money per month.
For the last part, he spent the rest of the money which is: x + 1/5 + 1/2 = 1
Make the denominators equal: x + 2/10 + 5/10 = 10/10
Add like terms: x + 7/10 = 10/10
Substract 7/10: x=3/10
He gave this money for 3.5/100 interest. Which equals 10.5/1000 of his total money.
When you add the three values: 4/500 + 5/200 + 10.5/1000
Make denominators equal: 8/1000 + 25/1000 + 10.5/1000
Add the like terms: 43.5/1000
This means the man's money's 43.5/1000 is equal to $870
Set the values equal: 43.5x/1000 = 870
Make the denominators equal: 43.5x/1000 = 870,000/1000
Multiply with 1000: 43.5x = 870,000
Divide both sides by 43.5: x = 20,000
The man's total money is $20,000
Answer:
Step-by-step explanation:
Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.
Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.
a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw
b) The probability that in a random sample of 2, no one has been abroad
=Prob of selecting both people from the group where no one has been abroad
We have in the group 35% i.e. 14 people never been to abroad
So required probability = Prob of selecting both from 14 people
=
