Translate words into numbers.
13/(1 3/7)
First convert to improper fraction.
13/(10/7)
Then, note that division is the same as multiplying by the divisor's reciprocal.
13x7/10=9.1
answer: $9.10 per kilogram
Hello! I can help you with this! So, you and 3 friends are 4 people. You split $536. To find the amount each of you got, Do division. 536/4 is 134. Each friend got $134 in the first month. You made 224 in 2 months. Let’s subtract to see how much more each of them got. 224 - 134 is 90. Now, multiply by 4 to find out how much profit was made. 90 * 4 is 360. The shop made $360 in the second month.
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
solution:
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.
Consider x to be the number of non-conformities. It follows a binomial distribution with n being 50 and p being 0.03. That is,
binomial (50,0.02)
Also, the estimate of the true probability is,
p∧ = x/50
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
The calculation is obtained as
P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)
= 50cx ₓ (0.03)x ₓ (1-0.03)50-x
= (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ (0.03)3 ₓ (1- 0.03)50-3 )
=( ₓ (0.03)0 ₓ (1-0.03)50-0 + ₓ (0.03)1 ₓ (1-0.03)50-1 + ₓ (0.03)2 ₓ (1-0.03)50-2 ₓ (0.03)3 ₓ (1-0.03)50-3 )
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are <em>N</em> = 50 people in a club.
The position of President is open. And there are <em>x</em> = 4 members running for he post of President.
So, there are <em>n</em> = <em>N</em> - <em>x</em> = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has <em>x</em> = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = <em>n</em> × <em>x</em>
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
