[(21 + 6) − 3^2] ÷ 9 ⋅ 2=[(27) − 9] ÷ 9 ⋅ 2
=18 ÷ 9 ⋅ 2
= 2 . 2
= 4
<u>Answer:</u>
<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>
QUESTION EIGHT: 2690
QUESTION NINE: 120
QUESTION ELEVEN: 12.5
QUESTION FOURTEEN: 24
<u>Step-by-step explanation:</u>
<u>WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)</u>
8.
may 3rd -> july 15th = 73 days
500*0.06 = 30
30 = how much he makes in one day (so he has 530 after 1 day)
30*73 = 2190
500 + 2190 = 2690
9.
210/7 = 30
1% for 3 years = 30
1% for 1 year = 10
100% for 1 year = 1000
2000*0.06 = 120
11.
54,000*0.08 = 4320
54,000/4320 = 12.5
14.
5000*6.26% = 312.5
7500/312.5 = 24
Answer:
The values are
x = -25/9 = -2 7/9
y = 7/3 = 2 1/3
Step-by-step explanation:
3x + 2y = -13 --------eqn 1
3x + 4y = 1-------------eqn2
Using eqn 2 to get the value of y
3x + 4y = 1
4y = 1 - 3x
Dividing both sides by 4,to get y
4y/4 =( 1 -3x) / 4
y = (1 - 3x) / 4
Since we've gotten the value for y, substitute the value into eqn 1
3x + 2y = -13
3x + 2(3x - 1)/4 = -13
Opening the bracket
3x + (6x - 2)/4 = -13
LCM = 4
(12x + 6x - 2) / 4 = -13
18x - 2 / 4 = -13
Then we cross multiply
18x - 2 = -13 * 4
18x - 2 = - 52
18x = -52 + 2
18x = -50
Divide both sides by 18, to get the value of x
18x/18 = -50/18
x = -25/9
or x = -2 7/9
The value of x is now known, so let's go back to eqn 2
Substitute x = - 25/9
3x + 4y = 1
3(-25/9) + 4y = 1
Open the bracket
-75/9 + 4y = 1
Make y the subject of the formula
4y = 1 + 75/9
LCM = 9
4y = (9 + 75)/ 9
4y = 84/9
To get y, divide both sides by 4
4y/4 = 84/9 / 4/1
y =
Note : when division changes to multiplication, it always be in its reciprocal form
y = 84/9 / 1/4
y = 84 * 1 / 9 *4
y = 84/ 36
y = 7/3
Or
y = 2 1/3
1/2 *(a+b)-(a-b)²
a=18, b=14
1/2 *(18+14)-(18-14)²=1/2 *(18+14)-(18-14)²= 1/2*32-4²=16-16=0
answer D
answer B
2 factors have 2 terms: (x+4) and (y+4)
Answer:
a) 0.48
b) 0.6645
c) 12.5
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

The number of trials expected to find r sucesses is given by

In this problem we have that:
Assume that 8% of people are left-handed. We select 6 people at random.
This means that 
a) How many lefties do you expect?

b) With what standard deviation?

c) If we keep picking people until we find a lefty, how long do you expect it will take?
Number of trials to find 1 success. So
